<?xml version='1.0' encoding='UTF-8'?>
<document version="1.0">
  <source>
    <doi>https://doi.org/10.1088/1361-6463/aa8519</doi>
    <renateDoi>https://doi.org/10.34657/9829</renateDoi>
    <title>Self-stabilized discharge filament in plane-parallel barrier discharge configuration: formation, breakdown mechanism, and memory effects</title>
  </source>
  <annotations>
    <entities/>
    <sentences>
      <sentence id="s1" text="Self-stabilized discharge filament in plane-parallel barrier discharge configuration: formation, breakdown mechanism, and memory effects Single self-stabilized discharge filaments were investigated in the plane-parallel electrode configuration .">
        <entities>
          <entity id="e1" type="G#DischargeRegime" text="discharge filament" start="1" end="3" orig_id="0"/>
          <entity id="e2" type="G#ElectrodeConfiguration" text="plane parallel barrier discharge configuration" start="4" end="8" orig_id="1"/>
          <entity id="e3" type="G#PhysicalEffect" text="breakdown mechanism" start="9" end="11" orig_id="2"/>
          <entity id="e4" type="G#PhysicalEffect" text="memory effects" start="12" end="14" orig_id="3"/>
          <entity id="e5" type="G#PhysicalEffect" text="self stabilized discharge filaments" start="15" end="18" orig_id="4"/>
          <entity id="e6" type="G#ElectrodeConfiguration" text="plane parallel electrode configuration" start="22" end="25" orig_id="5"/>
        </entities>
      </sentence>
      <sentence id="s2" text="The barrier discharge was operated inside a gap of 3 mm shielded by glass plates to both electrodes, using helium-nitrogen mixtures and a square-wave feeding voltage at a frequency of 2 kHz .">
        <entities>
          <entity id="e7" type="G#PlasmaSource" text="barrier discharge" start="1" end="3" orig_id="6"/>
          <entity id="e8" type="G#Unit" text="mm" start="10" end="11" orig_id="7"/>
          <entity id="e9" type="G#ElectrodeMaterial" text="glass" start="13" end="14" orig_id="8"/>
          <entity id="e10" type="G#PlasmaMedium" text="helium nitrogen mixtures" start="19" end="21" orig_id="9"/>
          <entity id="e11" type="G#PowerSupply" text="square wave feeding voltage" start="23" end="26" orig_id="10"/>
          <entity id="e12" type="G#PowerSupply" text="frequency" start="28" end="29" orig_id="11"/>
          <entity id="e13" type="G#Unit" text="khz" start="31" end="32" orig_id="12"/>
        </entities>
      </sentence>
      <sentence id="s3" text="The combined application of electrical measurements, ICCD camera imaging, optical emission spectroscopy and surface charge diagnostics via the electro-optic Pockels effect allowed the correlation of the discharge development in the volume and on the dielectric surfaces .">
        <entities>
          <entity id="e14" type="G#Experiment" text="electrical measurements" start="4" end="6" orig_id="13"/>
          <entity id="e15" type="G#Experiment" text="iccd camera imaging" start="6" end="9" orig_id="14"/>
          <entity id="e16" type="G#Experiment" text="optical emission spectroscopy" start="9" end="12" orig_id="15"/>
          <entity id="e17" type="G#Experiment" text="surface charge diagnostics" start="13" end="16" orig_id="16"/>
          <entity id="e18" type="G#PhysicalEffect" text="electro optic pockels effect" start="18" end="21" orig_id="17"/>
          <entity id="e19" type="G#PlasmaProperties" text="discharge development" start="26" end="28" orig_id="18"/>
          <entity id="e20" type="G#PhysicalQuantity" text="volume" start="30" end="31" orig_id="19"/>
          <entity id="e21" type="G#ElectrodeConfiguration" text="dielectric surfaces" start="34" end="36" orig_id="20"/>
        </entities>
      </sentence>
      <sentence id="s4" text="The formation criteria and existence regimes were found by systematic variation of the nitrogen admixture to helium, the total pressure and the feeding voltage amplitude .">
        <entities>
          <entity id="e22" type="G#DischargeRegime" text="existence regimes" start="4" end="6" orig_id="21"/>
          <entity id="e23" type="G#Species" text="nitrogen" start="13" end="14" orig_id="22"/>
          <entity id="e24" type="G#PlasmaMedium" text="nitrogen admixture to helium" start="13" end="17" orig_id="23"/>
          <entity id="e25" type="G#Species" text="helium" start="16" end="17" orig_id="24"/>
          <entity id="e26" type="G#PhysicalQuantity" text="total pressure" start="18" end="20" orig_id="25"/>
          <entity id="e27" type="G#PhysicalQuantity" text="pressure" start="19" end="20" orig_id="26"/>
          <entity id="e28" type="G#PowerSupply" text="feeding voltage" start="22" end="24" orig_id="27"/>
        </entities>
      </sentence>
      <sentence id="s5" text="Single self-stabilized discharge filaments can be operated over a wide parameter range, foremost, by significant reduction of the voltage amplitude after the operation in the microdischarge regime .">
        <entities>
          <entity id="e29" type="G#DischargeRegime" text="self stabilized discharge filaments" start="1" end="4" orig_id="28"/>
          <entity id="e30" type="G#DischargeRegime" text="filaments" start="3" end="4" orig_id="29"/>
          <entity id="e31" type="G#PowerSupply" text="voltage amplitude" start="18" end="20" orig_id="30"/>
          <entity id="e32" type="G#DischargeRegime" text="microdischarge regime" start="25" end="27" orig_id="31"/>
        </entities>
      </sentence>
      <sentence id="s6" text="Here, the outstanding importance of the surface charge memory effect on the long-term stability was pointed out by the recalculated spatio-temporally resolved gap voltage .">
        <entities>
          <entity id="e33" type="G#PhysicalEffect" text="surface charge memory effect" start="6" end="10" orig_id="32"/>
          <entity id="e34" type="G#PhysicalEffect" text="long term stability" start="12" end="14" orig_id="33"/>
          <entity id="e35" type="G#PhysicalQuantity" text="spatio temporally resolved gap voltage" start="20" end="24" orig_id="34"/>
          <entity id="e36" type="G#PhysicalQuantity" text="gap voltage" start="22" end="24" orig_id="35"/>
        </entities>
      </sentence>
      <sentence id="s7" text="The optical emission revealed discharge characteristics that are partially reminiscent of both the glow-like barrier discharge and the microdischarge regime, such as a Townsend pre-phase, a fast cathode-directed ionization front during the breakdown and radially propagating surface discharges during the afterglow .">
        <entities>
          <entity id="e37" type="G#Experiment" text="optical emission" start="1" end="3" orig_id="36"/>
          <entity id="e38" type="G#PlasmaProperties" text="discharge characteristics" start="4" end="6" orig_id="37"/>
          <entity id="e39" type="G#PlasmaSource" text="glow like barrier discharge" start="13" end="16" orig_id="38"/>
          <entity id="e40" type="G#PlasmaSource" text="barrier discharge" start="14" end="16" orig_id="6"/>
          <entity id="e41" type="G#DischargeRegime" text="microdischarge regime" start="18" end="20" orig_id="39"/>
          <entity id="e42" type="G#DischargeRegime" text="townsend pre phase" start="23" end="25" orig_id="40"/>
          <entity id="e43" type="G#PhysicalEffect" text="cathode directed ionization front" start="27" end="30" orig_id="41"/>
          <entity id="e44" type="G#PhysicalEffect" text="breakdown" start="32" end="33" orig_id="42"/>
          <entity id="e45" type="G#DischargeRegime" text="surface discharges" start="36" end="38" orig_id="43"/>
        </entities>
      </sentence>
      <sentence id="s8" text="Atmospheric-pressure barrier discharges (BDs) typically operate in the microdischarge (MD) regime, which is characterized by arbitrarily distributed filament-like breakdowns on the nanosecond time scale .">
        <entities>
          <entity id="e46" type="G#PlasmaSource" text="barrier discharges" start="1" end="3" orig_id="44"/>
          <entity id="e47" type="G#PlasmaSource" text="bds" start="3" end="4" orig_id="45"/>
          <entity id="e48" type="G#DischargeRegime" text="md regime" start="9" end="11" orig_id="46"/>
          <entity id="e49" type="G#DischargeRegime" text="filament like" start="17" end="18" orig_id="47"/>
          <entity id="e50" type="G#PhysicalEffect" text="breakdowns" start="18" end="19" orig_id="48"/>
          <entity id="e51" type="G#Unit" text="nanosecond" start="21" end="22" orig_id="49"/>
          <entity id="e52" type="G#PhysicalQuantity" text="time scale" start="22" end="24" orig_id="50"/>
        </entities>
      </sentence>
      <sentence id="s9" text="Unlike the controlled operation of laterally diffuse BDs, which has been possible for the last three decades [1][2][3], MDs in atmospheric air have already been used since the 19th century in ozone generators, e.g .">
        <entities>
          <entity id="e53" type="G#PlasmaSource" text="bds" start="7" end="8" orig_id="51"/>
          <entity id="e54" type="G#PlasmaSource" text="mds" start="18" end="19" orig_id="52"/>
          <entity id="e55" type="G#PlasmaMedium" text="atmospheric air" start="20" end="22" orig_id="53"/>
          <entity id="e56" type="G#PlasmaMedium" text="air" start="21" end="22" orig_id="54"/>
          <entity id="e57" type="G#PlasmaApplication" text="ozone generators" start="31" end="33" orig_id="55"/>
        </entities>
      </sentence>
      <sentence id="s10" text="for the disinfection of drinking water [4,5] .">
        <entities>
          <entity id="e58" type="G#PlasmaApplication" text="disinfection of drinking water" start="2" end="6" orig_id="56"/>
        </entities>
      </sentence>
      <sentence id="s11" text="Due to the dielectriccovered electrodes, the transition to arc discharges is avoided, and non-equilibrium plasmas are generated even at elevated pressures .">
        <entities>
          <entity id="e59" type="G#ElectrodeConfiguration" text="dielectriccovered electrodes" start="3" end="5" orig_id="57"/>
          <entity id="e60" type="G#DischargeRegime" text="arc" start="8" end="9" orig_id="58"/>
          <entity id="e61" type="G#PlasmaProperties" text="elevated pressures" start="19" end="21" orig_id="59"/>
          <entity id="e62" type="G#PhysicalQuantity" text="pressures" start="20" end="21" orig_id="60"/>
        </entities>
      </sentence>
      <sentence id="s12" text="Thereby, a variety of reactive species is provided, such as hot electrons, radicals and photons in the VIS and UV range [6][7][8] .">
        <entities>
          <entity id="e63" type="G#Species" text="reactive species" start="4" end="6" orig_id="61"/>
          <entity id="e64" type="G#Species" text="electrons" start="11" end="12" orig_id="62"/>
          <entity id="e65" type="G#Species" text="radicals" start="12" end="13" orig_id="63"/>
          <entity id="e66" type="G#Species" text="photons" start="14" end="15" orig_id="64"/>
          <entity id="e67" type="G#Experiment" text="vis and uv range" start="17" end="21" orig_id="65"/>
        </entities>
      </sentence>
      <sentence id="s13" text="Nowadays, further applications benefit from the high chemical reactivity at a low gas temperature, especially (Some figures may appear in colour only in the online journal) Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence .">
        <entities>
          <entity id="e68" type="G#PlasmaApplication" text="applications" start="2" end="3" orig_id="66"/>
          <entity id="e69" type="G#PhysicalEffect" text="chemical reactivity" start="7" end="9" orig_id="67"/>
          <entity id="e70" type="G#PhysicalQuantity" text="gas temperature" start="12" end="14" orig_id="68"/>
          <entity id="e71" type="G#Experiment" text="some figures" start="15" end="17" orig_id="69"/>
        </entities>
      </sentence>
      <sentence id="s14" text="the surface treatment of heat-sensitive materials in biology and medicine [9,10] .">
        <entities>
          <entity id="e72" type="G#PlasmaApplication" text="surface treatment" start="1" end="3" orig_id="70"/>
          <entity id="e73" type="G#ElectrodeMaterial" text="heat sensitive materials" start="4" end="6" orig_id="71"/>
          <entity id="e74" type="G#PlasmaApplication" text="biology" start="7" end="8" orig_id="72"/>
          <entity id="e75" type="G#PlasmaApplication" text="medicine" start="9" end="10" orig_id="73"/>
        </entities>
      </sentence>
      <sentence id="s15" text="Recently, the immense potential of BDs for life-science has received significant attention .">
        <entities>
          <entity id="e76" type="G#PlasmaSource" text="bds" start="5" end="6" orig_id="74"/>
        </entities>
      </sentence>
      <sentence id="s16" text="Although MDs have been known for long time and have extensively been used for applications, the discharge mechanism was first well understood when sophisticated diagnostic tools were accessible .">
        <entities>
          <entity id="e77" type="G#PlasmaSource" text="mds" start="1" end="2" orig_id="52"/>
          <entity id="e78" type="G#PlasmaApplication" text="applications" start="14" end="15" orig_id="75"/>
          <entity id="e79" type="G#PhysicalEffect" text="discharge mechanism" start="16" end="18" orig_id="76"/>
        </entities>
      </sentence>
      <sentence id="s17" text="The MD breakdown is strongly determined by a high ionization rate and a significant space charge formation in the volume, as well as by the interaction between the discharge species and the electrically charged dielectriccovered electrodes .">
        <entities>
          <entity id="e80" type="G#PhysicalEffect" text="md breakdown" start="1" end="3" orig_id="77"/>
          <entity id="e81" type="G#PhysicalEffect" text="ionization" start="9" end="10" orig_id="78"/>
          <entity id="e82" type="G#PhysicalQuantity" text="ionization rate" start="9" end="11" orig_id="79"/>
          <entity id="e83" type="G#PhysicalQuantity" text="space charge" start="14" end="16" orig_id="80"/>
          <entity id="e84" type="G#PhysicalQuantity" text="volume" start="19" end="20" orig_id="81"/>
          <entity id="e85" type="G#Species" text="discharge species" start="28" end="30" orig_id="82"/>
          <entity id="e86" type="G#ElectrodeConfiguration" text="electrically charged dielectriccovered electrodes" start="32" end="36" orig_id="83"/>
        </entities>
      </sentence>
      <sentence id="s18" text="Hence, both diagnostics of the volume and surface processes under identical discharge conditions are needed for a comprehensive description .">
        <entities>
          <entity id="e87" type="G#Experiment" text="diagnostics" start="2" end="3" orig_id="84"/>
          <entity id="e88" type="G#PhysicalQuantity" text="volume" start="5" end="6" orig_id="19"/>
          <entity id="e89" type="G#PhysicalEffect" text="surface processes" start="7" end="9" orig_id="85"/>
        </entities>
      </sentence>
      <sentence id="s19" text="High-quality investigations of the discharge development in the volume became possible by cross-correlation spectroscopy based on single-photon counting [11][12][13], and streak camera imaging [14][15][16], both providing a high sensitivity and sub-nanosecond resolution .">
        <entities>
          <entity id="e90" type="G#PlasmaProperties" text="discharge development" start="4" end="6" orig_id="18"/>
          <entity id="e91" type="G#PhysicalQuantity" text="volume" start="8" end="9" orig_id="19"/>
          <entity id="e92" type="G#Experiment" text="cross correlation spectroscopy" start="12" end="14" orig_id="86"/>
          <entity id="e93" type="G#Experiment" text="single photon counting" start="16" end="18" orig_id="87"/>
          <entity id="e94" type="G#DiagnosticDevice" text="streak camera" start="20" end="22" orig_id="88"/>
          <entity id="e95" type="G#DiagnosticDevice" text="streak camera imaging" start="20" end="23" orig_id="89"/>
          <entity id="e96" type="G#Experiment" text="sensitivity" start="28" end="29" orig_id="90"/>
          <entity id="e97" type="G#Experiment" text="sub nanosecond resolution" start="30" end="32" orig_id="91"/>
        </entities>
      </sentence>
      <sentence id="s20" text="In particular, the spectral as well as spatio-temporal measurement of the optical emission in combination with a collision-radiation model enabled the determination of the two-dimensional electric field development during MD breakdown .">
        <entities>
          <entity id="e98" type="G#Experiment" text="spatio temporal measurement" start="7" end="9" orig_id="92"/>
          <entity id="e99" type="G#PhysicalQuantity" text="optical emission" start="11" end="13" orig_id="93"/>
          <entity id="e100" type="G#Modelling" text="collision radiation model" start="17" end="19" orig_id="94"/>
          <entity id="e101" type="G#PhysicalQuantity" text="electric field" start="25" end="27" orig_id="95"/>
          <entity id="e102" type="G#PhysicalEffect" text="md breakdown" start="29" end="31" orig_id="77"/>
        </entities>
      </sentence>
      <sentence id="s21" text="Three characteristic phases were identified: (i) Townsend pre-phase of μs duration, (ii) fast cathode-directed streamer marking the breakdown on the ns time scale and (iii) radially propagating surface discharges during the post-phase .">
        <entities>
          <entity id="e103" type="G#DischargeRegime" text="pre phase" start="7" end="8" orig_id="96"/>
          <entity id="e104" type="G#Unit" text="μs" start="9" end="10" orig_id="97"/>
          <entity id="e105" type="G#PhysicalQuantity" text="duration" start="10" end="11" orig_id="98"/>
          <entity id="e106" type="G#PhysicalEffect" text="cathode directed streamer" start="13" end="15" orig_id="99"/>
          <entity id="e107" type="G#PhysicalEffect" text="breakdown" start="17" end="18" orig_id="42"/>
          <entity id="e108" type="G#Unit" text="ns" start="20" end="21" orig_id="100"/>
          <entity id="e109" type="G#PhysicalQuantity" text="time scale" start="21" end="23" orig_id="50"/>
          <entity id="e110" type="G#DischargeRegime" text="surface discharges" start="27" end="29" orig_id="43"/>
          <entity id="e111" type="G#DischargeRegime" text="post phase" start="31" end="32" orig_id="101"/>
        </entities>
      </sentence>
      <sentence id="s22" text="However, these optical diagnostics require accumulation over many discharge cycles .">
        <entities>
          <entity id="e112" type="G#Experiment" text="optical diagnostics" start="2" end="4" orig_id="102"/>
          <entity id="e113" type="G#PowerSupply" text="discharge cycles" start="8" end="10" orig_id="103"/>
          <entity id="e114" type="G#PowerSupply" text="cycles" start="9" end="10" orig_id="104"/>
        </entities>
      </sentence>
      <sentence id="s23" text="Therefore, the investigation of the volume discharge has been restricted to semi-spherical electrodes that allow us to localize the periodic breakdown of a single MD .">
        <entities>
          <entity id="e115" type="G#DischargeRegime" text="volume discharge" start="5" end="7" orig_id="105"/>
          <entity id="e116" type="G#ElectrodeConfiguration" text="semi spherical electrodes" start="11" end="13" orig_id="106"/>
          <entity id="e117" type="G#PhysicalEffect" text="periodic breakdown" start="19" end="21" orig_id="107"/>
          <entity id="e118" type="G#ElectrodeConfiguration" text="single md" start="23" end="25" orig_id="108"/>
        </entities>
      </sentence>
      <sentence id="s24" text="Besides, multi-dimensional simulations indicate the role of the photo-ionization and photo effect for the fast streamer propagation, and the importance of residual surface charges for the localized discharge re-ignition [17][18][19][20] .">
        <entities>
          <entity id="e119" type="G#Modelling" text="multi dimensional simulations" start="1" end="3" orig_id="109"/>
          <entity id="e120" type="G#PhysicalEffect" text="photo ionization" start="8" end="9" orig_id="110"/>
          <entity id="e121" type="G#PhysicalEffect" text="photo effect" start="10" end="12" orig_id="111"/>
          <entity id="e122" type="G#PhysicalEffect" text="streamer propagation" start="15" end="17" orig_id="112"/>
          <entity id="e123" type="G#PhysicalQuantity" text="residual surface charges" start="21" end="24" orig_id="113"/>
          <entity id="e124" type="G#PhysicalQuantity" text="surface charges" start="22" end="24" orig_id="114"/>
          <entity id="e125" type="G#PhysicalEffect" text="discharge re ignition" start="27" end="29" orig_id="115"/>
        </entities>
      </sentence>
      <sentence id="s25" text="Besides the indication of the surface charges and their binding energies by thermally or optically stimulated current and thermoluminescence measurements [21][22][23], fundamental knowledge about the influence of surface charges on BD mechanisms has foremost been achieved by a diagnostic technique based on the electro-optic Pockels effect of a bismuth silicon oxide (Bi 12 SiO 20 ) crystal [24][25][26] .">
        <entities>
          <entity id="e126" type="G#PhysicalQuantity" text="surface charges" start="5" end="7" orig_id="114"/>
          <entity id="e127" type="G#PhysicalQuantity" text="binding energies" start="9" end="11" orig_id="116"/>
          <entity id="e128" type="G#PhysicalEffect" text="thermally or optically stimulated" start="12" end="16" orig_id="117"/>
          <entity id="e129" type="G#PhysicalQuantity" text="current" start="16" end="17" orig_id="118"/>
          <entity id="e130" type="G#Experiment" text="thermoluminescence measurements" start="18" end="20" orig_id="119"/>
          <entity id="e131" type="G#PhysicalEffect" text="bd mechanisms" start="30" end="32" orig_id="120"/>
          <entity id="e132" type="G#Experiment" text="diagnostic technique" start="38" end="40" orig_id="121"/>
        </entities>
      </sentence>
      <sentence id="s26" text="The surface charge memory effect was qualitatively proved for the reignition behavior of multiple MDs [27,28] and for the longterm stabilization of laterally patterned BDs [30,31] .">
        <entities>
          <entity id="e133" type="G#PhysicalEffect" text="surface charge memory effect" start="1" end="5" orig_id="32"/>
          <entity id="e134" type="G#PhysicalEffect" text="memory effect" start="3" end="5" orig_id="122"/>
          <entity id="e135" type="G#PhysicalEffect" text="reignition" start="10" end="11" orig_id="123"/>
          <entity id="e136" type="G#PlasmaSource" text="mds" start="14" end="15" orig_id="52"/>
          <entity id="e137" type="G#PhysicalEffect" text="longterm stabilization" start="19" end="21" orig_id="124"/>
          <entity id="e138" type="G#PlasmaProperties" text="laterally patterned" start="22" end="24" orig_id="125"/>
          <entity id="e139" type="G#PlasmaSource" text="bds" start="24" end="25" orig_id="74"/>
        </entities>
      </sentence>
      <sentence id="s27" text="It was shown that positive and negative surface charges accumulate in Gaussian profiles on the dielectrics as the footprints of a filamentary breakdown .">
        <entities>
          <entity id="e140" type="G#PhysicalQuantity" text="positive and negative surface charges" start="4" end="9" orig_id="126"/>
          <entity id="e141" type="G#PhysicalQuantity" text="gaussian profiles" start="11" end="13" orig_id="127"/>
          <entity id="e142" type="G#ElectrodeMaterial" text="dielectrics" start="15" end="16" orig_id="128"/>
          <entity id="e143" type="G#PhysicalEffect" text="filamentary breakdown" start="21" end="23" orig_id="129"/>
        </entities>
      </sentence>
      <sentence id="s28" text="This favors the conservation of the breakdown position due to the local enhancement of both the electric field across the gas gap and the effective secondary electron emission .">
        <entities>
          <entity id="e144" type="G#PhysicalQuantity" text="breakdown position" start="6" end="8" orig_id="130"/>
          <entity id="e145" type="G#PhysicalQuantity" text="electric field" start="16" end="18" orig_id="95"/>
          <entity id="e146" type="G#ElectrodeConfiguration" text="gas gap" start="20" end="22" orig_id="131"/>
          <entity id="e147" type="G#PhysicalEffect" text="effective secondary electron emission" start="24" end="28" orig_id="132"/>
          <entity id="e148" type="G#PhysicalEffect" text="secondary electron emission" start="25" end="28" orig_id="133"/>
          <entity id="e149" type="G#Species" text="electron" start="26" end="27" orig_id="134"/>
        </entities>
      </sentence>
      <sentence id="s29" text="Moreover, the decay and lateral transport of surface charges happens on the second to minute time scale, which clearly exceeds the typical discharge cycle [28,32] .">
        <entities>
          <entity id="e150" type="G#PhysicalEffect" text="lateral transport" start="4" end="6" orig_id="135"/>
          <entity id="e151" type="G#PhysicalQuantity" text="surface charges" start="7" end="9" orig_id="114"/>
          <entity id="e152" type="G#PhysicalQuantity" text="time scale" start="15" end="17" orig_id="136"/>
          <entity id="e153" type="G#PhysicalQuantity" text="discharge cycle" start="22" end="24" orig_id="137"/>
        </entities>
      </sentence>
      <sentence id="s30" text="However, this powerful diagnostic tool is restricted to plane electrode configurations .">
        <entities>
          <entity id="e154" type="G#ElectrodeConfiguration" text="plane electrode configurations" start="8" end="11" orig_id="138"/>
        </entities>
      </sentence>
      <sentence id="s31" text="Despite the scope of knowledge gained during the last few decades using complementary electrode configurations, the investigation of MDs in the volume as well as on the di electric surfaces using one configuration and identical conditions is still missing .">
        <entities>
          <entity id="e155" type="G#ElectrodeConfiguration" text="complementary electrode configurations" start="12" end="15" orig_id="139"/>
          <entity id="e156" type="G#PlasmaSource" text="mds" start="18" end="19" orig_id="52"/>
          <entity id="e157" type="G#PhysicalQuantity" text="volume" start="21" end="22" orig_id="19"/>
          <entity id="e158" type="G#ElectrodeConfiguration" text="di electric surfaces" start="27" end="30" orig_id="140"/>
        </entities>
      </sentence>
      <sentence id="s32" text="That is why the present work is focused on the comprehensive characterization of a single self-stabilized discharge filament in the plane-parallel electrode configuration .">
        <entities>
          <entity id="e159" type="G#DischargeRegime" text="single self stabilized discharge filament" start="14" end="18" orig_id="141"/>
          <entity id="e160" type="G#ElectrodeConfiguration" text="plane parallel electrode configuration" start="20" end="23" orig_id="5"/>
          <entity id="e161" type="G#ElectrodeConfiguration" text="electrode configuration" start="21" end="23" orig_id="142"/>
        </entities>
      </sentence>
      <sentence id="s33" text="It allowed the combined application of electrical, optical and surface charge diagnostics .">
        <entities>
          <entity id="e162" type="G#PhysicalQuantity" text="surface charge" start="9" end="11" orig_id="143"/>
          <entity id="e163" type="G#Experiment" text="surface charge diagnostics" start="9" end="12" orig_id="16"/>
        </entities>
      </sentence>
      <sentence id="s34" text="In this context, the helium-nitrogen mixture, the total pressure and the feeding voltage amplitude were systematically varied in order to study the formation and stabilization criteria and related existence regimes .">
        <entities>
          <entity id="e164" type="G#Species" text="helium nitrogen" start="4" end="5" orig_id="144"/>
          <entity id="e165" type="G#PlasmaMedium" text="helium nitrogen mixture" start="4" end="6" orig_id="145"/>
          <entity id="e166" type="G#PhysicalQuantity" text="total pressure" start="7" end="9" orig_id="25"/>
          <entity id="e167" type="G#PhysicalQuantity" text="pressure" start="8" end="9" orig_id="26"/>
          <entity id="e168" type="G#PowerSupply" text="feeding voltage" start="11" end="13" orig_id="27"/>
          <entity id="e169" type="G#PhysicalEffect" text="formation and stabilization criteria" start="22" end="26" orig_id="146"/>
          <entity id="e170" type="G#DischargeRegime" text="existence regimes" start="28" end="30" orig_id="21"/>
        </entities>
      </sentence>
      <sentence id="s35" text="As a highlight, the breakdown mechanism in the volume was correlated with the surface charge dynamics on the dielectrics .">
        <entities>
          <entity id="e171" type="G#PhysicalEffect" text="breakdown mechanism" start="4" end="6" orig_id="147"/>
          <entity id="e172" type="G#PhysicalQuantity" text="volume" start="8" end="9" orig_id="19"/>
          <entity id="e173" type="G#PhysicalEffect" text="surface charge dynamics" start="13" end="16" orig_id="148"/>
          <entity id="e174" type="G#ElectrodeMaterial" text="dielectrics" start="18" end="19" orig_id="128"/>
        </entities>
      </sentence>
      <sentence id="s36" text="The experimental setup and the diagnostics are briefly introduced in section 2 .">
        <entities>
          <entity id="e175" type="G#Experiment" text="experimental setup" start="1" end="3" orig_id="149"/>
          <entity id="e176" type="G#Experiment" text="diagnostics" start="5" end="6" orig_id="84"/>
        </entities>
      </sentence>
      <sentence id="s37" text="Section 3 presents the formation procedure to obtain single self-stabilized discharge filaments .">
        <entities>
          <entity id="e177" type="G#DischargeRegime" text="single self stabilized discharge filaments" start="8" end="12" orig_id="150"/>
          <entity id="e178" type="G#DischargeRegime" text="self stabilized discharge filaments" start="9" end="12" orig_id="28"/>
          <entity id="e179" type="G#DischargeRegime" text="filaments" start="11" end="12" orig_id="29"/>
        </entities>
      </sentence>
      <sentence id="s38" text="Section 4 is focused on the correlation of the discharge development in the volume and on the dielectric surfaces .">
        <entities>
          <entity id="e180" type="G#PlasmaProperties" text="discharge development" start="9" end="11" orig_id="18"/>
          <entity id="e181" type="G#PhysicalQuantity" text="volume" start="13" end="14" orig_id="19"/>
          <entity id="e182" type="G#ElectrodeConfiguration" text="dielectric surfaces" start="17" end="19" orig_id="20"/>
        </entities>
      </sentence>
      <sentence id="s39" text="Finally, the importance of the volume and surface memory effects for the self-stabilization of the discharge filament is discussed in section 5 .">
        <entities>
          <entity id="e183" type="G#PhysicalEffect" text="volume and surface memory effects" start="5" end="10" orig_id="151"/>
          <entity id="e184" type="G#PhysicalEffect" text="surface memory effects" start="7" end="10" orig_id="152"/>
          <entity id="e185" type="G#PhysicalEffect" text="memory effects" start="8" end="10" orig_id="3"/>
          <entity id="e186" type="G#PhysicalEffect" text="self stabilization of the discharge filament" start="12" end="17" orig_id="153"/>
          <entity id="e187" type="G#DischargeRegime" text="discharge filament" start="15" end="17" orig_id="0"/>
        </entities>
      </sentence>
      <sentence id="s40" text="A sketch of the plane-parallel discharge configuration is depicted from the side-view in figure 1 .">
        <entities>
          <entity id="e188" type="G#ElectrodeConfiguration" text="plane parallel discharge configuration" start="4" end="7" orig_id="154"/>
          <entity id="e189" type="G#ElectrodeConfiguration" text="discharge configuration" start="5" end="7" orig_id="155"/>
        </entities>
      </sentence>
      <sentence id="s41" text="The high-voltage driven copper ring was connected with the electrically conductive and optically transparent indium tin oxide (ITO) layer coated on a float glass plate (thickness of 0.7 mm, permittivity of 7.6) .">
        <entities>
          <entity id="e190" type="G#PowerSupply" text="high voltage driven" start="1" end="3" orig_id="156"/>
          <entity id="e191" type="G#PhysicalEffect" text="electrically conductive" start="9" end="11" orig_id="157"/>
          <entity id="e192" type="G#Experiment" text="electrically conductive and optically transparent" start="9" end="14" orig_id="158"/>
          <entity id="e193" type="G#ElectrodeMaterial" text="indium tin oxide" start="14" end="17" orig_id="159"/>
          <entity id="e194" type="G#ElectrodeMaterial" text="glass plate" start="23" end="25" orig_id="160"/>
          <entity id="e195" type="G#PhysicalQuantity" text="permittivity" start="29" end="30" orig_id="161"/>
        </entities>
      </sentence>
      <sentence id="s42" text="The bismuth silicon oxide (Bi 12 SiO 20 ) crystal (thickness of 0.7 mm, permittivity of 56) was placed on the grounded aluminum mirror and allows the measurement of surface charges via the electro-optic Pockels effect .">
        <entities>
          <entity id="e196" type="G#ElectrodeMaterial" text="bismuth silicon oxide" start="1" end="4" orig_id="162"/>
          <entity id="e197" type="G#ElectrodeMaterial" text="bi 12 sio 20" start="4" end="8" orig_id="163"/>
          <entity id="e198" type="G#PhysicalQuantity" text="permittivity" start="14" end="15" orig_id="161"/>
          <entity id="e199" type="G#Experiment" text="grounded aluminum mirror" start="21" end="24" orig_id="164"/>
          <entity id="e200" type="G#Experiment" text="measurement of surface charges" start="27" end="31" orig_id="165"/>
          <entity id="e201" type="G#PhysicalQuantity" text="surface charges" start="29" end="31" orig_id="114"/>
          <entity id="e202" type="G#PhysicalEffect" text="electro optic pockels effect" start="33" end="36" orig_id="17"/>
        </entities>
      </sentence>
      <sentence id="s43" text="As a new feature compared to previous investigations [27,28], the surface charge diagnostics were extended to common transparent dielectrics covering the BSO crystal, as reported in [29] .">
        <entities>
          <entity id="e203" type="G#PhysicalQuantity" text="surface charge" start="10" end="12" orig_id="143"/>
          <entity id="e204" type="G#Experiment" text="surface charge diagnostics" start="10" end="13" orig_id="16"/>
          <entity id="e205" type="G#ElectrodeMaterial" text="transparent dielectrics" start="17" end="19" orig_id="166"/>
          <entity id="e206" type="G#ElectrodeMaterial" text="dielectrics" start="18" end="19" orig_id="128"/>
          <entity id="e207" type="G#ElectrodeMaterial" text="bso crystal" start="21" end="23" orig_id="167"/>
        </entities>
      </sentence>
      <sentence id="s44" text="In the present experiment, borosilicate glass (thickness of 0.2 mm, permit tivity of 6.7) was used, resulting in the most symmetric discharge behavior comparing both half-cycles of the applied voltage .">
        <entities>
          <entity id="e208" type="G#ElectrodeMaterial" text="borosilicate glass" start="4" end="6" orig_id="168"/>
          <entity id="e209" type="G#PowerSupply" text="half cycles of the applied voltage" start="25" end="30" orig_id="169"/>
          <entity id="e210" type="G#PowerSupply" text="applied voltage" start="28" end="30" orig_id="170"/>
        </entities>
      </sentence>
      <sentence id="s45" text="The discharge gap was set to 3 mm by insulating gap spacers made of polyether ether ketone (PEEK) .">
        <entities>
          <entity id="e211" type="G#ElectrodeConfiguration" text="discharge gap" start="1" end="3" orig_id="171"/>
          <entity id="e212" type="G#Unit" text="mm" start="7" end="8" orig_id="7"/>
          <entity id="e213" type="G#ElectrodeMaterial" text="polyether ether" start="14" end="16" orig_id="172"/>
          <entity id="e214" type="G#Species" text="peek" start="17" end="18" orig_id="173"/>
        </entities>
      </sentence>
      <sentence id="s46" text="The discharge cell was placed inside a vacuum chamber made of stainless steel .">
        <entities>
          <entity id="e215" type="G#ElectrodeMaterial" text="stainless steel" start="11" end="13" orig_id="174"/>
        </entities>
      </sentence>
      <sentence id="s47" text="The chamber was evacuated to a base pressure below 10 −5 mbar before the operating gas was directly supplied into the discharge volume .">
        <entities>
          <entity id="e216" type="G#PhysicalQuantity" text="pressure" start="7" end="8" orig_id="26"/>
          <entity id="e217" type="G#Unit" text="mbar" start="11" end="12" orig_id="175"/>
          <entity id="e218" type="G#PlasmaMedium" text="operating gas" start="14" end="16" orig_id="176"/>
          <entity id="e219" type="G#PhysicalQuantity" text="discharge volume" start="21" end="23" orig_id="177"/>
          <entity id="e220" type="G#PhysicalQuantity" text="volume" start="22" end="23" orig_id="19"/>
        </entities>
      </sentence>
      <sentence id="s48" text="Well-defined helium-nitrogen mixtures with a respective purity of &gt;99.999% were realized by adjusting the gas flow rates using two mass flow controllers .">
        <entities>
          <entity id="e221" type="G#PlasmaMedium" text="helium nitrogen mixtures" start="1" end="3" orig_id="9"/>
          <entity id="e222" type="G#PhysicalQuantity" text="gas flow rates" start="14" end="17" orig_id="178"/>
          <entity id="e223" type="G#PhysicalQuantity" text="flow rates" start="15" end="17" orig_id="179"/>
          <entity id="e224" type="G#DiagnosticDevice" text="mass flow controllers" start="19" end="22" orig_id="180"/>
        </entities>
      </sentence>
      <sentence id="s49" text="The total flow rate was 100 sccm .">
        <entities>
          <entity id="e225" type="G#PhysicalQuantity" text="total flow rate" start="1" end="4" orig_id="181"/>
          <entity id="e226" type="G#PhysicalQuantity" text="flow rate" start="2" end="4" orig_id="182"/>
          <entity id="e227" type="G#Unit" text="sccm" start="6" end="7" orig_id="183"/>
        </entities>
      </sentence>
      <sentence id="s50" text="Note that it was possible to add oxygen in the same way .">
        <entities>
          <entity id="e228" type="G#Species" text="oxygen" start="7" end="8" orig_id="184"/>
        </entities>
      </sentence>
      <sentence id="s51" text="The total pressure was varied between 100 mbar and 1 bar and then kept constant in the flowing regime by a diaphragm pressure gauge (MKS) in combination with a butterfly valve (MKS) and a process pump (TRIVAC D25BCSPFPE) .">
        <entities>
          <entity id="e229" type="G#PhysicalQuantity" text="total pressure" start="1" end="3" orig_id="25"/>
          <entity id="e230" type="G#PhysicalQuantity" text="pressure" start="2" end="3" orig_id="26"/>
          <entity id="e231" type="G#Unit" text="mbar" start="7" end="8" orig_id="175"/>
          <entity id="e232" type="G#Unit" text="bar" start="10" end="11" orig_id="185"/>
          <entity id="e233" type="G#DischargeRegime" text="flowing regime" start="17" end="19" orig_id="186"/>
          <entity id="e234" type="G#Experiment" text="diaphragm pressure gauge" start="21" end="24" orig_id="187"/>
          <entity id="e235" type="G#Experiment" text="butterfly valve" start="29" end="31" orig_id="188"/>
          <entity id="e236" type="G#Experiment" text="process pump" start="34" end="36" orig_id="189"/>
          <entity id="e237" type="G#DiagnosticDevice" text="trivac d25bcspfpe" start="36" end="38" orig_id="190"/>
        </entities>
      </sentence>
      <sentence id="s52" text="The diagnostic setup in figure 2 allowed the simultaneous application of (a) electrical measurements, (b) surface charge diagnostics, (c) optical emission spectroscopy and (d) ICCD camera imaging at one electrode configuration under identical conditions .">
        <entities>
          <entity id="e238" type="G#Experiment" text="diagnostic setup" start="1" end="3" orig_id="191"/>
          <entity id="e239" type="G#Experiment" text="electrical measurements" start="12" end="14" orig_id="13"/>
          <entity id="e240" type="G#Experiment" text="surface charge diagnostics" start="15" end="18" orig_id="192"/>
          <entity id="e241" type="G#Experiment" text="optical emission spectroscopy" start="19" end="22" orig_id="15"/>
        </entities>
      </sentence>
      <sentence id="s53" text="The square-wave feeding voltage U ext (t) at the frequency of 2 kHz was provided by a function generator (SRS DS345) in combination with a voltage amplifier (Trek 615-10, amplification of 1:1000), measured via a HV probe (Tektronix P6015A, 1000:1), and connected to the upper electrode .">
        <entities>
          <entity id="e242" type="G#PowerSupply" text="square wave feeding voltage" start="1" end="4" orig_id="10"/>
          <entity id="e243" type="G#PowerSupply" text="frequency" start="9" end="10" orig_id="11"/>
          <entity id="e244" type="G#Unit" text="khz" start="12" end="13" orig_id="12"/>
          <entity id="e245" type="G#PowerSupply" text="function generator" start="17" end="19" orig_id="193"/>
          <entity id="e246" type="G#PowerSupply" text="srs ds345" start="19" end="21" orig_id="194"/>
          <entity id="e247" type="G#PowerSupply" text="voltage amplifier" start="25" end="27" orig_id="195"/>
          <entity id="e248" type="G#DiagnosticDevice" text="hv probe" start="35" end="37" orig_id="196"/>
        </entities>
      </sentence>
      <sentence id="s54" text="Applying a square-wave signal, the amplifier provides a voltage slope of about ±250 V μs −1 , see also [29] .">
        <entities>
          <entity id="e249" type="G#DiagnosticDevice" text="amplifier" start="5" end="6" orig_id="197"/>
          <entity id="e250" type="G#PhysicalQuantity" text="voltage slope" start="8" end="10" orig_id="198"/>
          <entity id="e251" type="G#Unit" text="μs" start="14" end="15" orig_id="97"/>
        </entities>
      </sentence>
      <sentence id="s55" text="Moreover, the total transported charge Q ext (t) was measured via an external capacitor (C ext = 1.2 nF) .">
        <entities>
          <entity id="e252" type="G#PhysicalQuantity" text="transported charge" start="3" end="5" orig_id="199"/>
        </entities>
      </sentence>
      <sentence id="s56" text="The signals were processed by a digital oscilloscope (ROHDE&amp;;SCHWARZ RTO1024) .">
        <entities>
          <entity id="e253" type="G#DiagnosticDevice" text="digital oscilloscope" start="6" end="8" orig_id="200"/>
          <entity id="e254" type="G#DiagnosticDevice" text="oscilloscope" start="7" end="8" orig_id="201"/>
          <entity id="e255" type="G#DiagnosticDevice" text="rohde schwarz rto1024" start="8" end="10" orig_id="202"/>
        </entities>
      </sentence>
      <sentence id="s57" text="Based on the equivalent circuit introduced in [33], the spatially averaged gap voltage the actual discharge current without the displacement current through the dielectrics and the gas gap, and the time-integral of the discharge current, which corresponds to the surface charge dynamics were calculated .">
        <entities>
          <entity id="e256" type="G#Modelling" text="equivalent circuit" start="3" end="5" orig_id="203"/>
          <entity id="e257" type="G#PhysicalQuantity" text="gap voltage" start="11" end="13" orig_id="35"/>
          <entity id="e258" type="G#PhysicalQuantity" text="discharge current" start="15" end="17" orig_id="204"/>
          <entity id="e259" type="G#PhysicalQuantity" text="displacement current" start="19" end="21" orig_id="205"/>
          <entity id="e260" type="G#ElectrodeMaterial" text="dielectrics" start="23" end="24" orig_id="128"/>
          <entity id="e261" type="G#ElectrodeConfiguration" text="gas gap" start="26" end="28" orig_id="206"/>
          <entity id="e262" type="G#PhysicalQuantity" text="time integral of the discharge current" start="30" end="35" orig_id="207"/>
          <entity id="e263" type="G#PhysicalEffect" text="surface charge dynamics" start="39" end="42" orig_id="148"/>
        </entities>
      </sentence>
      <sentence id="s58" text="Here, C gap and C die are the calculated capacitances of the discharge gap and the di electrics, respectively .">
        <entities>
          <entity id="e264" type="G#ElectrodeConfiguration" text="c gap" start="1" end="3" orig_id="209"/>
          <entity id="e265" type="G#PhysicalQuantity" text="capacitances" start="9" end="10" orig_id="210"/>
          <entity id="e266" type="G#ElectrodeConfiguration" text="discharge gap" start="12" end="14" orig_id="171"/>
        </entities>
      </sentence>
      <sentence id="s59" text="Moreover, C tot is the total capacitance determined from the flat slope of the Q ext (U ext ) plot, and considers the surroundings beyond the lateral discharge area .">
        <entities>
          <entity id="e267" type="G#PhysicalQuantity" text="total capacitance" start="5" end="7" orig_id="211"/>
          <entity id="e268" type="G#PhysicalQuantity" text="capacitance" start="6" end="7" orig_id="212"/>
          <entity id="e269" type="G#PhysicalQuantity" text="discharge area" start="27" end="29" orig_id="213"/>
        </entities>
      </sentence>
      <sentence id="s60" text="Surface charges were measured via the electro-optic Pockels effect of the BSO crystal .">
        <entities>
          <entity id="e270" type="G#PhysicalQuantity" text="charges" start="1" end="2" orig_id="214"/>
          <entity id="e271" type="G#PhysicalEffect" text="electro optic pockels effect" start="6" end="9" orig_id="17"/>
          <entity id="e272" type="G#ElectrodeMaterial" text="bso crystal" start="11" end="13" orig_id="215"/>
        </entities>
      </sentence>
      <sentence id="s61" text="Figure 2(b) shows the optical setup .">
        <entities>
          <entity id="e273" type="G#Experiment" text="optical setup" start="4" end="6" orig_id="216"/>
        </entities>
      </sentence>
      <sentence id="s62" text="First, the LED light (λ = 634 nm) was homogenized by passing the Köhler illumination system and then it was diverted in the direction of the discharge cell by a linearly polarizing beam splitter .">
        <entities>
          <entity id="e274" type="G#Unit" text="nm" start="7" end="8" orig_id="217"/>
          <entity id="e275" type="G#DiagnosticDevice" text="köhler illumination system" start="13" end="16" orig_id="218"/>
          <entity id="e276" type="G#DiagnosticDevice" text="beam splitter" start="32" end="34" orig_id="219"/>
        </entities>
      </sentence>
      <sentence id="s63" text="Following this path, the LED light became elliptically polarized by a λ/8 wave plate, expanded by a telescopic system, and finally passed the discharge cell twice, due to the reflection at the grounded aluminum mirror .">
        <entities>
          <entity id="e277" type="G#Experiment" text="telescopic system" start="17" end="19" orig_id="220"/>
          <entity id="e278" type="G#PhysicalEffect" text="reflection" start="29" end="30" orig_id="221"/>
          <entity id="e279" type="G#Experiment" text="grounded aluminum mirror" start="32" end="35" orig_id="164"/>
        </entities>
      </sentence>
      <sentence id="s64" text="Finally, the light intensity was detected by a CCD camera (Miro 4ex) .">
        <entities>
          <entity id="e280" type="G#PhysicalQuantity" text="light intensity" start="2" end="4" orig_id="222"/>
          <entity id="e281" type="G#DiagnosticDevice" text="ccd camera" start="8" end="10" orig_id="223"/>
          <entity id="e282" type="G#DiagnosticDevice" text="miro 4ex" start="10" end="12" orig_id="224"/>
        </entities>
      </sentence>
      <sentence id="s65" text="During the discharge operation, the voltage drop across the BSO crystal, caused by the deposited surface charges (U σ BSO ) and the applied voltage (U ext BSO ), induces a birefringence and thus an additional change in the polarization of the LED light .">
        <entities>
          <entity id="e283" type="G#PhysicalEffect" text="voltage drop" start="5" end="7" orig_id="225"/>
          <entity id="e284" type="G#ElectrodeMaterial" text="bso crystal" start="9" end="11" orig_id="167"/>
          <entity id="e285" type="G#PhysicalEffect" text="deposited" start="14" end="15" orig_id="226"/>
          <entity id="e286" type="G#PhysicalQuantity" text="surface charges" start="15" end="17" orig_id="114"/>
          <entity id="e287" type="G#PowerSupply" text="applied voltage" start="23" end="25" orig_id="170"/>
          <entity id="e288" type="G#PhysicalEffect" text="birefringence" start="31" end="32" orig_id="227"/>
          <entity id="e289" type="G#PhysicalEffect" text="polarization" start="39" end="40" orig_id="228"/>
        </entities>
      </sentence>
      <sentence id="s66" text="As a result, the detected light intensity depends on the amount and polarity of the deposited surface charge .">
        <entities>
          <entity id="e290" type="G#PhysicalQuantity" text="light intensity" start="5" end="7" orig_id="222"/>
          <entity id="e291" type="G#PhysicalQuantity" text="polarity" start="12" end="13" orig_id="229"/>
          <entity id="e292" type="G#PhysicalQuantity" text="deposited surface charge" start="15" end="18" orig_id="230"/>
        </entities>
      </sentence>
      <sentence id="s67" text="The final formula for the calculation of the spatio-temporally resolved surface charge density reads Here, ε 0 , ε BSO and d BSO are the electric field constant and the permittivity and thickness of the BSO crystal, respectively .">
        <entities>
          <entity id="e293" type="G#PhysicalQuantity" text="spatio temporally resolved surface charge density" start="8" end="13" orig_id="231"/>
          <entity id="e294" type="G#PhysicalQuantity" text="surface charge density" start="10" end="13" orig_id="232"/>
          <entity id="e295" type="G#PhysicalQuantity" text="electric field" start="25" end="27" orig_id="95"/>
          <entity id="e296" type="G#PhysicalQuantity" text="electric field constant" start="25" end="28" orig_id="233"/>
          <entity id="e297" type="G#PhysicalQuantity" text="permittivity" start="30" end="31" orig_id="161"/>
          <entity id="e298" type="G#PhysicalQuantity" text="thickness" start="32" end="33" orig_id="234"/>
          <entity id="e299" type="G#ElectrodeMaterial" text="bso crystal" start="35" end="37" orig_id="167"/>
        </entities>
      </sentence>
      <sentence id="s68" text="I meas (U ext BSO , U σ BSO ) denotes the measured intensity during the discharge operation .">
        <entities>
          <entity id="e300" type="G#PhysicalQuantity" text="intensity" start="13" end="14" orig_id="235"/>
        </entities>
      </sentence>
      <sentence id="s69" text="The reference intensity I ref (U ext BSO ) without any discharge is obtained from a calibration measurement .">
        <entities>
          <entity id="e301" type="G#PhysicalQuantity" text="reference intensity" start="1" end="3" orig_id="236"/>
          <entity id="e302" type="G#PhysicalQuantity" text="intensity" start="2" end="3" orig_id="235"/>
          <entity id="e303" type="G#Experiment" text="calibration measurement" start="16" end="18" orig_id="237"/>
        </entities>
      </sentence>
      <sentence id="s70" text="The proportionality factor k is determined from the linear dependence of I ref on U ext BSO .">
        <entities>
          <entity id="e304" type="G#PhysicalQuantity" text="proportionality factor" start="1" end="3" orig_id="238"/>
        </entities>
      </sentence>
      <sentence id="s71" text="Moreover, the measurement of the surface charge density distribution with respect to the phase of the feeding voltage U ext (t) allowed the calculation of the spatio-temporally resolved gap voltage Here, the observation area detected per pixel of the CCD camera chip was A px = 4 x 10 −5 cm 2 .">
        <entities>
          <entity id="e305" type="G#Experiment" text="measurement of the surface charge density distribution" start="2" end="9" orig_id="239"/>
          <entity id="e306" type="G#PhysicalQuantity" text="surface charge density distribution" start="5" end="9" orig_id="240"/>
          <entity id="e307" type="G#PowerSupply" text="feeding voltage" start="16" end="18" orig_id="27"/>
          <entity id="e308" type="G#Experiment" text="spatio temporally resolved gap voltage" start="26" end="30" orig_id="241"/>
          <entity id="e309" type="G#PhysicalQuantity" text="gap voltage" start="28" end="30" orig_id="35"/>
          <entity id="e310" type="G#Experiment" text="observation area" start="32" end="34" orig_id="242"/>
          <entity id="e311" type="G#DiagnosticDevice" text="ccd camera" start="39" end="41" orig_id="223"/>
          <entity id="e312" type="G#Experiment" text="ccd camera chip" start="39" end="42" orig_id="243"/>
          <entity id="e313" type="G#Unit" text="cm 2" start="50" end="52" orig_id="244"/>
        </entities>
      </sentence>
      <sentence id="s72" text="Especially in the case of a filamentary barrier discharge, the gap voltage changes drastically over the electrode area .">
        <entities>
          <entity id="e314" type="G#DischargeRegime" text="filamentary" start="6" end="7" orig_id="245"/>
          <entity id="e315" type="G#PlasmaSource" text="barrier discharge" start="7" end="9" orig_id="246"/>
          <entity id="e316" type="G#PhysicalQuantity" text="gap voltage" start="10" end="12" orig_id="35"/>
          <entity id="e317" type="G#PhysicalQuantity" text="electrode area" start="16" end="18" orig_id="247"/>
        </entities>
      </sentence>
      <sentence id="s73" text="The optical emission from the discharge was depicted by a vertically moveable lens onto the entrance slit of a monochromator (Acton Research Corporation, SpectraPro, focal length of 750 mm) and detected by a photomultiplier tube (Hamamatsu R928) .">
        <entities>
          <entity id="e318" type="G#Experiment" text="optical emission" start="1" end="3" orig_id="36"/>
          <entity id="e319" type="G#DiagnosticDevice" text="entrance slit" start="15" end="17" orig_id="248"/>
          <entity id="e320" type="G#DiagnosticDevice" text="monochromator" start="19" end="20" orig_id="249"/>
          <entity id="e321" type="G#DiagnosticDevice" text="acton research corporation" start="20" end="23" orig_id="250"/>
          <entity id="e322" type="G#DiagnosticDevice" text="acton research corporation spectrapro" start="20" end="24" orig_id="251"/>
          <entity id="e323" type="G#PhysicalQuantity" text="focal length" start="24" end="26" orig_id="252"/>
          <entity id="e324" type="G#Unit" text="mm" start="28" end="29" orig_id="253"/>
          <entity id="e325" type="G#DiagnosticDevice" text="photomultiplier tube" start="33" end="35" orig_id="254"/>
          <entity id="e326" type="G#DiagnosticDevice" text="hamamatsu r928" start="35" end="37" orig_id="255"/>
        </entities>
      </sentence>
      <sentence id="s74" text="By means of a 1800 −1 mm grating, a spectral resolution of 0.5 nm was achieved .">
        <entities>
          <entity id="e327" type="G#Unit" text="mm" start="6" end="7" orig_id="7"/>
          <entity id="e328" type="G#Experiment" text="spectral resolution" start="9" end="11" orig_id="256"/>
        </entities>
      </sentence>
      <sentence id="s75" text="A horizontal slit (0.1 mm width) was placed in front of the monochromator and the lens was moved in steps of 0.05 mm, which allowed the axial scan of the discharge gap width of 3 mm .">
        <entities>
          <entity id="e329" type="G#Experiment" text="horizontal slit" start="1" end="3" orig_id="257"/>
          <entity id="e330" type="G#Unit" text="mm" start="4" end="5" orig_id="7"/>
          <entity id="e331" type="G#PhysicalQuantity" text="width" start="5" end="6" orig_id="258"/>
          <entity id="e332" type="G#DiagnosticDevice" text="monochromator" start="12" end="13" orig_id="249"/>
          <entity id="e333" type="G#DiagnosticDevice" text="lens" start="15" end="16" orig_id="259"/>
        </entities>
      </sentence>
      <sentence id="s76" text="The digital oscilloscope recorded the photomultiplier signal with a temporal resolution down to 10 ns .">
        <entities>
          <entity id="e334" type="G#DiagnosticDevice" text="digital oscilloscope" start="1" end="3" orig_id="200"/>
          <entity id="e335" type="G#Experiment" text="photomultiplier signal" start="5" end="7" orig_id="260"/>
          <entity id="e336" type="G#Experiment" text="temporal resolution" start="9" end="11" orig_id="261"/>
          <entity id="e337" type="G#Unit" text="ns" start="14" end="15" orig_id="100"/>
        </entities>
      </sentence>
      <sentence id="s77" text="In addition, the discharge volume was depicted using a gated intensified charge-coupled device (ICCD) camera (Princeton Instruments PI-MAX) .">
        <entities>
          <entity id="e338" type="G#PhysicalQuantity" text="discharge volume" start="3" end="5" orig_id="177"/>
          <entity id="e339" type="G#DiagnosticDevice" text="intensified charge coupled device" start="10" end="13" orig_id="262"/>
          <entity id="e340" type="G#DiagnosticDevice" text="iccd camera" start="13" end="15" orig_id="263"/>
          <entity id="e341" type="G#DiagnosticDevice" text="camera" start="14" end="15" orig_id="264"/>
          <entity id="e342" type="G#DiagnosticDevice" text="princeton instruments pi max" start="15" end="18" orig_id="265"/>
        </entities>
      </sentence>
      <sentence id="s78" text="The 1:3 imaging via an external lens onto the camera chip (512 × 512 pixel and 0.12 mm/pixel spatial resolution) provided an effective spatial resolution of 0.04 mm .">
        <entities>
          <entity id="e343" type="G#Unit" text="pixel" start="14" end="15" orig_id="266"/>
          <entity id="e344" type="G#Experiment" text="spatial resolution" start="18" end="20" orig_id="267"/>
        </entities>
      </sentence>
      <sentence id="s79" text="The maximum temporal resolution of 1 ns allowed fast 2D imaging of the filamentary discharge breakdown .">
        <entities>
          <entity id="e345" type="G#Experiment" text="temporal resolution" start="2" end="4" orig_id="261"/>
          <entity id="e346" type="G#Unit" text="ns" start="6" end="7" orig_id="100"/>
          <entity id="e347" type="G#Experiment" text="2d imaging" start="9" end="11" orig_id="269"/>
          <entity id="e348" type="G#DischargeRegime" text="filamentary" start="13" end="14" orig_id="245"/>
        </entities>
      </sentence>
      <sentence id="s80" text="Two different procedures were identified that allow the formation of single self-stabilized discharge filaments .">
        <entities>
          <entity id="e349" type="G#DischargeRegime" text="single self stabilized discharge filaments" start="10" end="14" orig_id="150"/>
          <entity id="e350" type="G#DischargeRegime" text="filaments" start="13" end="14" orig_id="29"/>
        </entities>
      </sentence>
      <sentence id="s81" text="First, after the He/N 2 discharge was already operated in the microdischarge (MD) regime, the reduction of the feeding voltage amplitude leads to the stabilization of several self-organized discharge filaments .">
        <entities>
          <entity id="e351" type="G#Species" text="he n 2" start="3" end="5" orig_id="270"/>
          <entity id="e352" type="G#DischargeRegime" text="microdischarge md regime" start="11" end="14" orig_id="271"/>
          <entity id="e353" type="G#PowerSupply" text="feeding voltage" start="18" end="20" orig_id="27"/>
          <entity id="e354" type="G#PowerSupply" text="feeding voltage amplitude" start="18" end="21" orig_id="272"/>
          <entity id="e355" type="G#PhysicalEffect" text="stabilization of several self organized discharge filaments" start="24" end="30" orig_id="273"/>
          <entity id="e356" type="G#DischargeRegime" text="self organized discharge filaments" start="27" end="30" orig_id="274"/>
        </entities>
      </sentence>
      <sentence id="s82" text="This procedure is shown in figure 3(a) by discharge current profiles and photographs from the sideview (averaged over ten voltage periods) of the filamentary discharge in He with 10 vol.% N 2 admixture at the total pressure of 1 bar .">
        <entities>
          <entity id="e357" type="G#PhysicalQuantity" text="discharge current" start="8" end="10" orig_id="204"/>
          <entity id="e358" type="G#PhysicalQuantity" text="discharge current profiles" start="8" end="11" orig_id="275"/>
          <entity id="e359" type="G#PhysicalQuantity" text="voltage periods" start="19" end="21" orig_id="276"/>
          <entity id="e360" type="G#PhysicalQuantity" text="periods" start="20" end="21" orig_id="277"/>
          <entity id="e361" type="G#DischargeRegime" text="filamentary" start="23" end="24" orig_id="245"/>
          <entity id="e362" type="G#Species" text="he" start="26" end="27" orig_id="278"/>
          <entity id="e363" type="G#PlasmaMedium" text="10 vol n 2 admixture" start="28" end="33" orig_id="279"/>
          <entity id="e364" type="G#Unit" text="vol" start="29" end="30" orig_id="280"/>
          <entity id="e365" type="G#Species" text="n 2" start="30" end="32" orig_id="281"/>
          <entity id="e366" type="G#PlasmaMedium" text="n 2 admixture" start="30" end="33" orig_id="282"/>
          <entity id="e367" type="G#PhysicalQuantity" text="pressure" start="36" end="37" orig_id="26"/>
          <entity id="e368" type="G#Unit" text="bar" start="39" end="40" orig_id="185"/>
        </entities>
      </sentence>
      <sentence id="s83" text="Here, most notable is the transition from the non-stationary MD current pulses of about 100 ns duration at 3.2 kV to one stable current pulse of about 1 μs duration for several synchronously occurring discharge filaments at 2.6 kV .">
        <entities>
          <entity id="e369" type="G#PhysicalQuantity" text="md current" start="9" end="11" orig_id="283"/>
          <entity id="e370" type="G#Unit" text="ns" start="15" end="16" orig_id="100"/>
          <entity id="e371" type="G#PhysicalQuantity" text="current pulse" start="23" end="25" orig_id="284"/>
          <entity id="e372" type="G#Unit" text="μs" start="28" end="29" orig_id="97"/>
          <entity id="e373" type="G#PhysicalQuantity" text="duration" start="29" end="30" orig_id="285"/>
          <entity id="e374" type="G#DischargeRegime" text="discharge filaments" start="34" end="36" orig_id="286"/>
          <entity id="e375" type="G#DischargeRegime" text="filaments" start="35" end="36" orig_id="29"/>
        </entities>
      </sentence>
      <sentence id="s84" text="The simultaneous ignition of the discharge filaments is characteristic for patterned BDs usually operated at lower pressures [30,31,34] .">
        <entities>
          <entity id="e376" type="G#PhysicalEffect" text="ignition" start="2" end="3" orig_id="287"/>
          <entity id="e377" type="G#PlasmaSource" text="bds" start="11" end="12" orig_id="74"/>
          <entity id="e378" type="G#PlasmaMedium" text="lower pressures" start="15" end="17" orig_id="288"/>
          <entity id="e379" type="G#PhysicalQuantity" text="pressures" start="16" end="17" orig_id="60"/>
        </entities>
      </sentence>
      <sentence id="s85" text="This is favored by the steep slope of the square-wave feeding voltage (or high-frequency sine-wave feeding voltage) and by similar charge amounts deposited by each of the discharge filaments .">
        <entities>
          <entity id="e380" type="G#PowerSupply" text="feeding voltage" start="10" end="12" orig_id="27"/>
          <entity id="e381" type="G#PowerSupply" text="sine wave feeding voltage" start="14" end="17" orig_id="289"/>
          <entity id="e382" type="G#DischargeRegime" text="discharge filaments" start="27" end="29" orig_id="286"/>
        </entities>
      </sentence>
      <sentence id="s86" text="Due to the comparatively slow discharge development on the microsecond time scale, the desorption of electrons from the cathodic dielectric by the initial photons might trigger multiple discharge events [35] .">
        <entities>
          <entity id="e383" type="G#PlasmaProperties" text="discharge development" start="5" end="7" orig_id="18"/>
          <entity id="e384" type="G#Unit" text="microsecond" start="9" end="10" orig_id="291"/>
          <entity id="e385" type="G#PhysicalQuantity" text="time scale" start="10" end="12" orig_id="136"/>
          <entity id="e386" type="G#PhysicalEffect" text="desorption" start="13" end="14" orig_id="292"/>
          <entity id="e387" type="G#PhysicalEffect" text="desorption of electrons" start="13" end="16" orig_id="293"/>
          <entity id="e388" type="G#Species" text="electrons" start="15" end="16" orig_id="294"/>
          <entity id="e389" type="G#ElectrodeConfiguration" text="cathodic dielectric" start="18" end="20" orig_id="295"/>
          <entity id="e390" type="G#Species" text="photons" start="23" end="24" orig_id="64"/>
        </entities>
      </sentence>
      <sentence id="s87" text="Moreover, the photographs indicate the arbitrary distribution of MDs at 3.2 kV and an axial discharge structure, as well as broadened footprints on the dielectrics in the case of the self-stabilized discharge filaments at 2.6 kV and 2.2 kV .">
        <entities>
          <entity id="e391" type="G#ElectrodeMaterial" text="dielectrics" start="24" end="25" orig_id="128"/>
          <entity id="e392" type="G#PhysicalEffect" text="self stabilized discharge filaments" start="30" end="33" orig_id="4"/>
        </entities>
      </sentence>
      <sentence id="s88" text="Note that the single discharge filament operates at a voltage amplitude that is about 1 kV lower than the initial ignition voltage .">
        <entities>
          <entity id="e393" type="G#DischargeRegime" text="single discharge filament" start="3" end="6" orig_id="296"/>
          <entity id="e394" type="G#PhysicalQuantity" text="voltage amplitude" start="9" end="11" orig_id="297"/>
          <entity id="e395" type="G#Unit" text="kv" start="15" end="16" orig_id="298"/>
          <entity id="e396" type="G#PhysicalQuantity" text="ignition voltage" start="20" end="22" orig_id="299"/>
        </entities>
      </sentence>
      <sentence id="s89" text="It indicates that the residual surface charges significantly contribute to the effective electric field across the gas gap .">
        <entities>
          <entity id="e397" type="G#PhysicalQuantity" text="residual surface charges" start="4" end="7" orig_id="113"/>
          <entity id="e398" type="G#PhysicalQuantity" text="surface charges" start="5" end="7" orig_id="114"/>
          <entity id="e399" type="G#PhysicalQuantity" text="effective electric field" start="11" end="14" orig_id="300"/>
          <entity id="e400" type="G#ElectrodeConfiguration" text="gas gap" start="16" end="18" orig_id="131"/>
        </entities>
      </sentence>
      <sentence id="s90" text="Hence, the local surface charge distribution seems to be the key for understanding the self-stabilization of discharge filaments at low voltage amplitudes .">
        <entities>
          <entity id="e401" type="G#PhysicalEffect" text="surface charge distribution" start="3" end="6" orig_id="301"/>
          <entity id="e402" type="G#PhysicalEffect" text="self stabilization of discharge filaments" start="14" end="18" orig_id="302"/>
          <entity id="e403" type="G#PowerSupply" text="voltage amplitudes" start="20" end="22" orig_id="303"/>
        </entities>
      </sentence>
      <sentence id="s91" text="The second procedure is starting from the diffuse glowlike discharge in helium at a fixed total pressure of 500 mbar and a feeding voltage amplitude of 0.8 kV .">
        <entities>
          <entity id="e404" type="G#DischargeRegime" text="diffuse" start="7" end="8" orig_id="304"/>
          <entity id="e405" type="G#DischargeRegime" text="glowlike" start="8" end="9" orig_id="305"/>
          <entity id="e406" type="G#DischargeRegime" text="glowlike discharge" start="8" end="10" orig_id="306"/>
          <entity id="e407" type="G#Species" text="helium" start="11" end="12" orig_id="307"/>
          <entity id="e408" type="G#PhysicalQuantity" text="pressure" start="16" end="17" orig_id="26"/>
          <entity id="e409" type="G#Unit" text="mbar" start="19" end="20" orig_id="175"/>
          <entity id="e410" type="G#PowerSupply" text="feeding voltage" start="22" end="24" orig_id="27"/>
          <entity id="e411" type="G#PowerSupply" text="feeding voltage amplitude" start="22" end="25" orig_id="272"/>
          <entity id="e412" type="G#Unit" text="kv" start="27" end="28" orig_id="298"/>
        </entities>
      </sentence>
      <sentence id="s92" text="As shown in figure 3(b), admixing at least 0.2 vol.% N 2 to He leads to the constriction of the diffuse discharge in a lateral direction and, finally, to the formation of a single self-stabilized discharge filament .">
        <entities>
          <entity id="e413" type="G#Species" text="n 2" start="10" end="12" orig_id="281"/>
          <entity id="e414" type="G#Species" text="he" start="13" end="14" orig_id="278"/>
          <entity id="e415" type="G#DischargeRegime" text="diffuse" start="20" end="21" orig_id="304"/>
          <entity id="e416" type="G#DischargeRegime" text="single self stabilized discharge filament" start="33" end="37" orig_id="141"/>
        </entities>
      </sentence>
      <sentence id="s93" text="Following this mode transition, the discharge current maximum rises but the pulse duration decreases, again ending up with the typical characteristics of a single discharge filament as described above .">
        <entities>
          <entity id="e417" type="G#PhysicalEffect" text="mode transition" start="2" end="4" orig_id="308"/>
          <entity id="e418" type="G#PhysicalQuantity" text="discharge current maximum" start="5" end="8" orig_id="309"/>
          <entity id="e419" type="G#PowerSupply" text="pulse duration" start="11" end="13" orig_id="310"/>
          <entity id="e420" type="G#DischargeRegime" text="single discharge filament" start="23" end="26" orig_id="296"/>
        </entities>
      </sentence>
      <sentence id="s94" text="It is striking that the breakdown onset is shifted to earlier times with increasing N 2 admixture to He at otherwise equal feeding voltage amplitude, which indicates an enhanced pre-ionization .">
        <entities>
          <entity id="e421" type="G#PhysicalEffect" text="breakdown" start="5" end="6" orig_id="42"/>
          <entity id="e422" type="G#Species" text="n 2" start="14" end="16" orig_id="281"/>
          <entity id="e423" type="G#PlasmaMedium" text="n 2 admixture" start="14" end="17" orig_id="282"/>
          <entity id="e424" type="G#Species" text="he" start="18" end="19" orig_id="278"/>
          <entity id="e425" type="G#PowerSupply" text="feeding voltage" start="22" end="24" orig_id="27"/>
          <entity id="e426" type="G#PowerSupply" text="feeding voltage amplitude" start="22" end="25" orig_id="311"/>
          <entity id="e427" type="G#PhysicalEffect" text="pre ionization" start="29" end="30" orig_id="312"/>
        </entities>
      </sentence>
      <sentence id="s95" text="The admixture of N 2 enhances the effective ionization coefficient α eff due to the Penning ioniz ation of N 2 via He metastable states [29,36,37] .">
        <entities>
          <entity id="e428" type="G#PlasmaMedium" text="admixture of n 2" start="1" end="5" orig_id="313"/>
          <entity id="e429" type="G#Species" text="n 2" start="3" end="5" orig_id="281"/>
          <entity id="e430" type="G#PhysicalQuantity" text="effective ionization coefficient" start="7" end="10" orig_id="314"/>
          <entity id="e431" type="G#PhysicalEffect" text="ionization" start="8" end="9" orig_id="78"/>
          <entity id="e432" type="G#PhysicalEffect" text="penning ioniz ation" start="15" end="18" orig_id="315"/>
          <entity id="e433" type="G#Species" text="he metastable states" start="22" end="25" orig_id="316"/>
          <entity id="e434" type="G#Species" text="metastable states" start="23" end="25" orig_id="317"/>
        </entities>
      </sentence>
      <sentence id="s96" text="This process favors the space charge formation and the corresponding electric field distortion, but it is too slow to initiate streamer breakdown .">
        <entities>
          <entity id="e435" type="G#PhysicalQuantity" text="space charge" start="4" end="6" orig_id="80"/>
          <entity id="e436" type="G#PhysicalQuantity" text="electric field" start="10" end="12" orig_id="95"/>
          <entity id="e437" type="G#PhysicalEffect" text="electric field distortion" start="10" end="13" orig_id="318"/>
          <entity id="e438" type="G#PhysicalEffect" text="streamer breakdown" start="20" end="22" orig_id="319"/>
        </entities>
      </sentence>
      <sentence id="s97" text="In turn, the increase in effective ionization is associated with the decrease in radius of the charge carrier avalanches, r ≈ α −1 eff in first approximation, which may explain the constriction of the discharge .">
        <entities>
          <entity id="e439" type="G#PhysicalEffect" text="effective ionization" start="5" end="7" orig_id="320"/>
          <entity id="e440" type="G#PhysicalQuantity" text="radius" start="13" end="14" orig_id="321"/>
          <entity id="e441" type="G#PhysicalEffect" text="charge carrier avalanches" start="16" end="19" orig_id="322"/>
          <entity id="e442" type="G#Modelling" text="first approximation" start="25" end="27" orig_id="323"/>
        </entities>
      </sentence>
      <sentence id="s98" text="After the discussion of exemplary parameter sets allowing the formation of single self-stabilized discharge filaments, in the following, the existence regimes are presented, which were obtained by systematic variation of the He/N 2 mixture, total pressure and feeding voltage amplitude .">
        <entities>
          <entity id="e443" type="G#PhysicalEffect" text="formation of single self stabilized discharge filaments" start="9" end="15" orig_id="324"/>
          <entity id="e444" type="G#DischargeRegime" text="existence regimes" start="19" end="21" orig_id="21"/>
          <entity id="e445" type="G#Species" text="he n 2" start="31" end="33" orig_id="270"/>
          <entity id="e446" type="G#PlasmaMedium" text="he n 2 mixture" start="31" end="34" orig_id="325"/>
          <entity id="e447" type="G#PhysicalQuantity" text="total pressure" start="34" end="36" orig_id="25"/>
          <entity id="e448" type="G#PhysicalQuantity" text="pressure" start="35" end="36" orig_id="26"/>
          <entity id="e449" type="G#PowerSupply" text="feeding voltage" start="37" end="39" orig_id="27"/>
          <entity id="e450" type="G#PowerSupply" text="feeding voltage amplitude" start="37" end="40" orig_id="272"/>
        </entities>
      </sentence>
      <sentence id="s99" text="In figure 4(a), the existence of diffuse and filamentary discharge modes is plotted depending on the feeding voltage amplitude and the N 2 admixture to He .">
        <entities>
          <entity id="e451" type="G#DischargeRegime" text="diffuse" start="6" end="7" orig_id="304"/>
          <entity id="e452" type="G#DischargeRegime" text="filamentary discharge modes" start="8" end="11" orig_id="326"/>
          <entity id="e453" type="G#PowerSupply" text="feeding voltage" start="16" end="18" orig_id="27"/>
          <entity id="e454" type="G#PowerSupply" text="feeding voltage amplitude" start="16" end="19" orig_id="272"/>
          <entity id="e455" type="G#Species" text="n 2" start="21" end="23" orig_id="281"/>
          <entity id="e456" type="G#PlasmaMedium" text="n 2 admixture to he" start="21" end="26" orig_id="327"/>
          <entity id="e457" type="G#Species" text="he" start="25" end="26" orig_id="278"/>
        </entities>
      </sentence>
      <sentence id="s100" text="Here, the total pressure was fixed to 500 mbar in order to limit the applied voltage that is necessary for the discharge operation at large N 2 admixtures .">
        <entities>
          <entity id="e458" type="G#PhysicalQuantity" text="total pressure" start="2" end="4" orig_id="25"/>
          <entity id="e459" type="G#PhysicalQuantity" text="pressure" start="3" end="4" orig_id="26"/>
          <entity id="e460" type="G#Unit" text="mbar" start="8" end="9" orig_id="175"/>
          <entity id="e461" type="G#PowerSupply" text="applied voltage" start="14" end="16" orig_id="170"/>
          <entity id="e462" type="G#Species" text="n 2" start="25" end="27" orig_id="281"/>
          <entity id="e463" type="G#PlasmaMedium" text="n 2 admixtures" start="25" end="28" orig_id="328"/>
        </entities>
      </sentence>
      <sentence id="s101" text="As is well known, the diffuse glow-like BD occurs in pure He, as well as in He with small N 2 additives at moderate voltage amplitudes .">
        <entities>
          <entity id="e464" type="G#DischargeRegime" text="diffuse" start="5" end="6" orig_id="304"/>
          <entity id="e465" type="G#DischargeRegime" text="diffuse glow like" start="5" end="7" orig_id="329"/>
          <entity id="e466" type="G#DischargeRegime" text="diffuse glow like bd" start="5" end="8" orig_id="330"/>
          <entity id="e467" type="G#DischargeRegime" text="glow like" start="6" end="7" orig_id="331"/>
          <entity id="e468" type="G#PlasmaMedium" text="pure he" start="10" end="12" orig_id="332"/>
          <entity id="e469" type="G#Species" text="he" start="11" end="12" orig_id="333"/>
          <entity id="e470" type="G#Species" text="n 2" start="19" end="21" orig_id="281"/>
          <entity id="e471" type="G#PowerSupply" text="voltage amplitudes" start="24" end="26" orig_id="303"/>
        </entities>
      </sentence>
      <sentence id="s102" text="However, at larger N 2 admixtures and at over-voltage indicated by open circles, the discharge is initially operated in the MD regime .">
        <entities>
          <entity id="e472" type="G#Species" text="n 2" start="3" end="5" orig_id="281"/>
          <entity id="e473" type="G#PlasmaMedium" text="n 2 admixtures" start="3" end="6" orig_id="328"/>
          <entity id="e474" type="G#DischargeRegime" text="md regime" start="20" end="22" orig_id="334"/>
        </entities>
      </sentence>
      <sentence id="s103" text="When the feeding voltage is reduced after the initial discharge ignition, stable filament patterns and, near to critically low voltage amplitudes marked by solid circles, single discharge filaments can be operated over a wide range of the N 2 admixture .">
        <entities>
          <entity id="e475" type="G#PowerSupply" text="feeding voltage" start="2" end="4" orig_id="27"/>
          <entity id="e476" type="G#PhysicalEffect" text="discharge ignition" start="9" end="11" orig_id="335"/>
          <entity id="e477" type="G#DischargeRegime" text="filament patterns" start="12" end="14" orig_id="336"/>
          <entity id="e478" type="G#PhysicalQuantity" text="voltage amplitudes" start="19" end="21" orig_id="337"/>
          <entity id="e479" type="G#DischargeRegime" text="single discharge filaments" start="25" end="28" orig_id="338"/>
          <entity id="e480" type="G#Species" text="n 2" start="37" end="39" orig_id="281"/>
          <entity id="e481" type="G#PlasmaMedium" text="n 2 admixture" start="37" end="40" orig_id="282"/>
        </entities>
      </sentence>
      <sentence id="s104" text="Once a sufficient ionization rate caused the filamentation of the discharge by admixing at least about 0.2 vol.% N 2 to He, the stabilization mechanism of the discharge filaments seems to be independent of the gas system .">
        <entities>
          <entity id="e482" type="G#PhysicalEffect" text="ionization" start="3" end="4" orig_id="78"/>
          <entity id="e483" type="G#PhysicalQuantity" text="ionization rate" start="3" end="5" orig_id="79"/>
          <entity id="e484" type="G#PlasmaMedium" text="0 2 vol n 2 to he" start="16" end="22" orig_id="339"/>
          <entity id="e485" type="G#Species" text="n 2" start="18" end="20" orig_id="281"/>
          <entity id="e486" type="G#Species" text="he" start="21" end="22" orig_id="333"/>
          <entity id="e487" type="G#PhysicalEffect" text="stabilization mechanism" start="23" end="25" orig_id="340"/>
          <entity id="e488" type="G#DischargeRegime" text="discharge filaments" start="27" end="29" orig_id="286"/>
          <entity id="e489" type="G#DischargeRegime" text="filaments" start="28" end="29" orig_id="29"/>
          <entity id="e490" type="G#PlasmaMedium" text="gas system" start="35" end="37" orig_id="341"/>
        </entities>
      </sentence>
      <sentence id="s105" text="The transition region between the MD regime and selforganized discharge filaments is characterized by the superposition of a few MDs and a rotating filament pattern .">
        <entities>
          <entity id="e491" type="G#PhysicalEffect" text="transition" start="1" end="2" orig_id="342"/>
          <entity id="e492" type="G#DischargeRegime" text="md regime" start="5" end="7" orig_id="334"/>
          <entity id="e493" type="G#DischargeRegime" text="selforganized discharge filaments" start="8" end="11" orig_id="343"/>
          <entity id="e494" type="G#PlasmaSource" text="mds" start="19" end="20" orig_id="52"/>
          <entity id="e495" type="G#PhysicalEffect" text="rotating filament pattern" start="22" end="25" orig_id="344"/>
        </entities>
      </sentence>
      <sentence id="s106" text="The associated transition voltage resulting only in MDs is indicated by crosses and, however, is sharply defined .">
        <entities>
          <entity id="e496" type="G#PhysicalQuantity" text="transition voltage" start="2" end="4" orig_id="345"/>
          <entity id="e497" type="G#DischargeRegime" text="mds" start="7" end="8" orig_id="346"/>
        </entities>
      </sentence>
      <sentence id="s107" text="It does not reveal a significant hysteresis with respect to the initial ignition voltage for MDs marked by open circles .">
        <entities>
          <entity id="e498" type="G#PhysicalQuantity" text="ignition voltage" start="12" end="14" orig_id="299"/>
          <entity id="e499" type="G#PlasmaSource" text="mds" start="15" end="16" orig_id="52"/>
        </entities>
      </sentence>
      <sentence id="s108" text="Moreover, in figure 4(b), the existence diagram is plotted by the feeding voltage amplitude versus the total pressure between 100 mbar and 1 bar .">
        <entities>
          <entity id="e500" type="G#PowerSupply" text="feeding voltage" start="11" end="13" orig_id="27"/>
          <entity id="e501" type="G#PhysicalQuantity" text="total pressure" start="16" end="18" orig_id="25"/>
          <entity id="e502" type="G#PhysicalQuantity" text="pressure" start="17" end="18" orig_id="26"/>
          <entity id="e503" type="G#Unit" text="mbar" start="20" end="21" orig_id="175"/>
          <entity id="e504" type="G#Unit" text="bar" start="23" end="24" orig_id="185"/>
        </entities>
      </sentence>
      <sentence id="s109" text="Here, the admixture of 10 vol.% N 2 to He was fixed, which allows the formation of stable discharge filaments .">
        <entities>
          <entity id="e505" type="G#PlasmaMedium" text="admixture of 10 vol n 2 to he" start="2" end="10" orig_id="347"/>
          <entity id="e506" type="G#Unit" text="vol" start="5" end="6" orig_id="280"/>
          <entity id="e507" type="G#Species" text="n 2" start="6" end="8" orig_id="281"/>
          <entity id="e508" type="G#Species" text="he" start="9" end="10" orig_id="278"/>
          <entity id="e509" type="G#DischargeRegime" text="stable discharge filaments" start="17" end="20" orig_id="348"/>
          <entity id="e510" type="G#DischargeRegime" text="filaments" start="19" end="20" orig_id="29"/>
        </entities>
      </sentence>
      <sentence id="s110" text="Just as observed for the variation of the N 2 admixture, stable filaments can be operated below the initial ignition voltage over the entire range of total pressure, which again proves the independence of the stabilization mechanism from specific gas properties .">
        <entities>
          <entity id="e511" type="G#Experiment" text="observed" start="2" end="3" orig_id="349"/>
          <entity id="e512" type="G#Species" text="n 2" start="8" end="10" orig_id="281"/>
          <entity id="e513" type="G#PlasmaMedium" text="n 2 admixture" start="8" end="11" orig_id="350"/>
          <entity id="e514" type="G#DischargeRegime" text="stable filaments" start="11" end="13" orig_id="351"/>
          <entity id="e515" type="G#PhysicalQuantity" text="ignition voltage" start="19" end="21" orig_id="299"/>
          <entity id="e516" type="G#PhysicalQuantity" text="total pressure" start="26" end="28" orig_id="352"/>
          <entity id="e517" type="G#PhysicalQuantity" text="pressure" start="27" end="28" orig_id="353"/>
          <entity id="e518" type="G#PhysicalEffect" text="stabilization mechanism" start="35" end="37" orig_id="340"/>
          <entity id="e519" type="G#PlasmaMedium" text="gas properties" start="39" end="41" orig_id="354"/>
        </entities>
      </sentence>
      <sentence id="s111" text="Note that the voltage interval for the patterned and single discharge filaments increases from ∆U ext ≈ 0.3 kV at 100 mbar to ∆U ext 1 kV at 1 bar, which is the same trend as for the increasing N 2 admixture in figure 4(a) .">
        <entities>
          <entity id="e520" type="G#DischargeRegime" text="single discharge filaments" start="9" end="12" orig_id="338"/>
          <entity id="e521" type="G#Unit" text="kv" start="18" end="19" orig_id="298"/>
          <entity id="e522" type="G#Unit" text="mbar" start="21" end="22" orig_id="175"/>
          <entity id="e523" type="G#Unit" text="bar" start="29" end="30" orig_id="355"/>
          <entity id="e524" type="G#Species" text="n 2" start="39" end="41" orig_id="281"/>
          <entity id="e525" type="G#PlasmaMedium" text="n 2 admixture" start="39" end="42" orig_id="282"/>
        </entities>
      </sentence>
      <sentence id="s112" text="This is an indication of the outstanding importance of the residual surface charge, which increases with rising pressure and N 2 admixture, for the localized re-ignition of discharge filaments and thus for their long-term stability .">
        <entities>
          <entity id="e526" type="G#PhysicalQuantity" text="residual surface charge" start="10" end="13" orig_id="356"/>
          <entity id="e527" type="G#PhysicalQuantity" text="surface charge" start="11" end="13" orig_id="357"/>
          <entity id="e528" type="G#PhysicalQuantity" text="pressure" start="17" end="18" orig_id="26"/>
          <entity id="e529" type="G#Species" text="n 2" start="19" end="21" orig_id="281"/>
          <entity id="e530" type="G#PlasmaMedium" text="n 2 admixture" start="19" end="22" orig_id="350"/>
          <entity id="e531" type="G#DischargeRegime" text="filaments" start="28" end="29" orig_id="29"/>
          <entity id="e532" type="G#PhysicalEffect" text="long term stability" start="33" end="35" orig_id="33"/>
        </entities>
      </sentence>
      <sentence id="s113" text="Figure 5 shows the influence of (a) the N 2 admixture to He and (b) the total pressure on the spatial dimensions of a single self-stabilized discharge filament based on averaged photographs from the side-view .">
        <entities>
          <entity id="e533" type="G#Species" text="n 2" start="8" end="10" orig_id="281"/>
          <entity id="e534" type="G#PlasmaMedium" text="n 2 admixture" start="8" end="11" orig_id="282"/>
          <entity id="e535" type="G#PhysicalQuantity" text="total pressure" start="16" end="18" orig_id="25"/>
          <entity id="e536" type="G#PhysicalQuantity" text="pressure" start="17" end="18" orig_id="26"/>
          <entity id="e537" type="G#PhysicalQuantity" text="dimensions" start="21" end="22" orig_id="358"/>
          <entity id="e538" type="G#DischargeRegime" text="single self stabilized discharge filament" start="24" end="28" orig_id="141"/>
          <entity id="e539" type="G#Experiment" text="averaged photographs" start="30" end="32" orig_id="359"/>
        </entities>
      </sentence>
      <sentence id="s114" text="In (a), the total pressure of 500 mbar was fixed and the feeding voltage was close to the respective maintaining voltage in figure 4(a) .">
        <entities>
          <entity id="e540" type="G#PhysicalQuantity" text="pressure" start="4" end="5" orig_id="26"/>
          <entity id="e541" type="G#Unit" text="mbar" start="7" end="8" orig_id="175"/>
          <entity id="e542" type="G#PowerSupply" text="feeding voltage" start="12" end="14" orig_id="27"/>
          <entity id="e543" type="G#PowerSupply" text="maintaining voltage" start="19" end="21" orig_id="360"/>
          <entity id="e544" type="G#PhysicalQuantity" text="voltage" start="20" end="21" orig_id="361"/>
        </entities>
      </sentence>
      <sentence id="s115" text="For increasing N 2 admixture from up to 50 vol.%, the average diameter of the discharge channel does not remarkably change, but the lateral extent of surface discharges on both dielectrics increases significantly .">
        <entities>
          <entity id="e545" type="G#Species" text="n 2" start="2" end="4" orig_id="281"/>
          <entity id="e546" type="G#PlasmaMedium" text="n 2 admixture" start="2" end="5" orig_id="282"/>
          <entity id="e547" type="G#Unit" text="vol" start="9" end="10" orig_id="362"/>
          <entity id="e548" type="G#PhysicalQuantity" text="diameter" start="12" end="13" orig_id="363"/>
          <entity id="e549" type="G#DischargeRegime" text="surface discharges" start="26" end="28" orig_id="43"/>
        </entities>
      </sentence>
      <sentence id="s116" text="Note that the overall extent of the surface discharges at 50 vol.% N 2 additive could not be recorded, due to the limitations of the orifice into the discharge cell .">
        <entities>
          <entity id="e550" type="G#DischargeRegime" text="surface discharges" start="7" end="9" orig_id="43"/>
          <entity id="e551" type="G#Unit" text="vol" start="11" end="12" orig_id="280"/>
          <entity id="e552" type="G#Species" text="n 2" start="12" end="14" orig_id="281"/>
          <entity id="e553" type="G#PlasmaMedium" text="n 2 additive" start="12" end="15" orig_id="364"/>
        </entities>
      </sentence>
      <sentence id="s117" text="Indeed, the same characteristics are observed for the rising total pressure in (b) .">
        <entities>
          <entity id="e554" type="G#PhysicalQuantity" text="pressure" start="10" end="11" orig_id="26"/>
        </entities>
      </sentence>
      <sentence id="s118" text="Here, the admixture of 10 vol.% N 2 to He was fixed and the operating voltage is associated with the existence regime in figure 4(b) .">
        <entities>
          <entity id="e555" type="G#PlasmaMedium" text="admixture of 10 vol n 2 to he" start="2" end="10" orig_id="347"/>
          <entity id="e556" type="G#Unit" text="vol" start="5" end="6" orig_id="280"/>
          <entity id="e557" type="G#Species" text="n 2" start="6" end="8" orig_id="281"/>
          <entity id="e558" type="G#Species" text="he" start="9" end="10" orig_id="278"/>
          <entity id="e559" type="G#PowerSupply" text="operating voltage" start="14" end="16" orig_id="365"/>
          <entity id="e560" type="G#PhysicalQuantity" text="voltage" start="15" end="16" orig_id="361"/>
          <entity id="e561" type="G#DischargeRegime" text="existence regime" start="20" end="22" orig_id="366"/>
        </entities>
      </sentence>
      <sentence id="s119" text="Both with increasing N 2 admixture and total pressure, the amount of transported and subsequently deposited charge increases as well .">
        <entities>
          <entity id="e562" type="G#Species" text="n 2" start="3" end="5" orig_id="281"/>
          <entity id="e563" type="G#PlasmaMedium" text="n 2 admixture" start="3" end="6" orig_id="282"/>
          <entity id="e564" type="G#PhysicalQuantity" text="total pressure" start="7" end="9" orig_id="352"/>
          <entity id="e565" type="G#PhysicalQuantity" text="pressure" start="8" end="9" orig_id="353"/>
          <entity id="e566" type="G#PhysicalQuantity" text="deposited charge" start="15" end="17" orig_id="367"/>
        </entities>
      </sentence>
      <sentence id="s120" text="Since the average channel diameter keeps nearly constant, the localized increase in the surface charge amount causes a larger electric field gradient in the lateral direction and, thereby, the larger extent of the following surface discharges .">
        <entities>
          <entity id="e567" type="G#PhysicalQuantity" text="channel diameter" start="3" end="5" orig_id="368"/>
          <entity id="e568" type="G#PhysicalQuantity" text="surface charge" start="13" end="15" orig_id="143"/>
          <entity id="e569" type="G#PhysicalQuantity" text="electric field" start="19" end="21" orig_id="95"/>
          <entity id="e570" type="G#DischargeRegime" text="surface discharges" start="34" end="36" orig_id="43"/>
        </entities>
      </sentence>
      <sentence id="s121" text="Not least due to the averaging over several discharge cycles, the photographs in figure 5 only allow the rough estimation of the filament diameter in the sub-millimeter range .">
        <entities>
          <entity id="e571" type="G#PowerSupply" text="discharge cycles" start="8" end="10" orig_id="369"/>
          <entity id="e572" type="G#PowerSupply" text="cycles" start="9" end="10" orig_id="370"/>
          <entity id="e573" type="G#PhysicalQuantity" text="filament diameter" start="22" end="24" orig_id="371"/>
          <entity id="e574" type="G#PhysicalQuantity" text="diameter" start="23" end="24" orig_id="363"/>
          <entity id="e575" type="G#Unit" text="sub millimeter" start="26" end="27" orig_id="372"/>
          <entity id="e576" type="G#Experiment" text="sub millimeter range" start="26" end="28" orig_id="373"/>
        </entities>
      </sentence>
      <sentence id="s122" text="For comparison, detailed investigations on the streamer breakdown in nitrogen and argon revealed a changing diameter between about 50 μm and 150 μm along the symmetry axis of the discharge filament [38] .">
        <entities>
          <entity id="e577" type="G#PhysicalEffect" text="streamer breakdown" start="6" end="8" orig_id="319"/>
          <entity id="e578" type="G#Species" text="nitrogen" start="9" end="10" orig_id="22"/>
          <entity id="e579" type="G#Species" text="argon" start="11" end="12" orig_id="374"/>
          <entity id="e580" type="G#PhysicalQuantity" text="diameter" start="15" end="16" orig_id="363"/>
          <entity id="e581" type="G#Unit" text="μm" start="19" end="20" orig_id="375"/>
          <entity id="e582" type="G#DischargeRegime" text="discharge filament" start="29" end="31" orig_id="0"/>
        </entities>
      </sentence>
      <sentence id="s123" text="After the phenomenological description, now the focus is on the discharge physics starting with the pre-phase .">
        <entities>
          <entity id="e583" type="G#Modelling" text="phenomenological description" start="2" end="4" orig_id="376"/>
          <entity id="e584" type="G#PhysicalEffect" text="discharge physics" start="10" end="12" orig_id="377"/>
          <entity id="e585" type="G#DischargeRegime" text="pre phase" start="15" end="16" orig_id="96"/>
        </entities>
      </sentence>
      <sentence id="s124" text="In figure 6, the applied voltage U ext (t), the averaged gap voltage U gap (t), the discharge current I dis (t) (top) and the spatio-temporal evo lution of the He emission at 706.5 nm (bottom) are depicted during the pre-phase of the self-stabilized discharge filament operated in He with 10 vol.% N 2 at atmospheric pressure .">
        <entities>
          <entity id="e586" type="G#PhysicalQuantity" text="applied voltage" start="4" end="6" orig_id="378"/>
          <entity id="e587" type="G#PhysicalQuantity" text="gap voltage" start="11" end="13" orig_id="35"/>
          <entity id="e588" type="G#PhysicalQuantity" text="discharge current" start="17" end="19" orig_id="204"/>
          <entity id="e589" type="G#Experiment" text="spatio temporal evo lution" start="25" end="28" orig_id="379"/>
        </entities>
      </sentence>
      <sentence id="s125" text="The gap voltage clearly exceeds the applied voltage, due to the additional electric field caused by residual surface charges .">
        <entities>
          <entity id="e590" type="G#PhysicalQuantity" text="gap voltage" start="1" end="3" orig_id="35"/>
          <entity id="e591" type="G#PowerSupply" text="applied voltage" start="6" end="8" orig_id="380"/>
          <entity id="e592" type="G#PhysicalQuantity" text="electric field" start="12" end="14" orig_id="95"/>
          <entity id="e593" type="G#PhysicalQuantity" text="residual surface charges" start="16" end="19" orig_id="113"/>
          <entity id="e594" type="G#PhysicalQuantity" text="surface charges" start="17" end="19" orig_id="114"/>
        </entities>
      </sentence>
      <sentence id="s126" text="Since the discharge current rises gradually, there is still no significant space charge formation and corresponding dist ortion of the electric field, wherefore this phase is referred to as the Townsend prephase .">
        <entities>
          <entity id="e595" type="G#PhysicalQuantity" text="discharge current" start="2" end="4" orig_id="204"/>
          <entity id="e596" type="G#PhysicalQuantity" text="space charge" start="11" end="13" orig_id="80"/>
          <entity id="e597" type="G#PhysicalEffect" text="dist ortion of the electric field" start="16" end="22" orig_id="381"/>
          <entity id="e598" type="G#PhysicalQuantity" text="electric field" start="20" end="22" orig_id="382"/>
          <entity id="e599" type="G#DischargeRegime" text="townsend prephase" start="30" end="32" orig_id="383"/>
        </entities>
      </sentence>
      <sentence id="s127" text="The microsecond time scale of the pre-phase clearly exceeds the effective lifetime of the radiative He(3 3 S) state that is dominantly populated by electron-impact .">
        <entities>
          <entity id="e600" type="G#Unit" text="microsecond" start="1" end="2" orig_id="291"/>
          <entity id="e601" type="G#PhysicalQuantity" text="time scale" start="2" end="4" orig_id="50"/>
          <entity id="e602" type="G#PhysicalQuantity" text="effective lifetime" start="10" end="12" orig_id="384"/>
          <entity id="e603" type="G#PhysicalQuantity" text="lifetime" start="11" end="12" orig_id="385"/>
          <entity id="e604" type="G#Species" text="he 3 3 s" start="15" end="18" orig_id="386"/>
          <entity id="e605" type="G#Species" text="he 3 3 s state" start="15" end="19" orig_id="387"/>
          <entity id="e606" type="G#Species" text="electron impact" start="24" end="25" orig_id="388"/>
        </entities>
      </sentence>
      <sentence id="s128" text="Thus, the measured He(3 3 S → 2 3 P) emission intensity follows the electron density profile Starting at the cathode with n e (z = 0), the electron density n e (z) rises exponentially towards the anode, according to the effective ionization coefficient α eff that is determined by the reduced electric field strength E/n .">
        <entities>
          <entity id="e607" type="G#Experiment" text="measured" start="2" end="3" orig_id="389"/>
          <entity id="e608" type="G#Species" text="he 3 3 s" start="3" end="6" orig_id="390"/>
          <entity id="e609" type="G#Unit" text="p" start="9" end="10" orig_id="391"/>
          <entity id="e610" type="G#PhysicalQuantity" text="emission intensity" start="10" end="12" orig_id="392"/>
          <entity id="e611" type="G#Species" text="electron" start="14" end="15" orig_id="134"/>
          <entity id="e612" type="G#PhysicalQuantity" text="electron density profile" start="14" end="17" orig_id="393"/>
          <entity id="e613" type="G#PhysicalQuantity" text="density profile" start="15" end="17" orig_id="394"/>
          <entity id="e614" type="G#PhysicalQuantity" text="electron density" start="28" end="30" orig_id="395"/>
          <entity id="e615" type="G#PhysicalQuantity" text="effective ionization coefficient" start="41" end="44" orig_id="314"/>
          <entity id="e616" type="G#PhysicalEffect" text="ionization" start="42" end="43" orig_id="78"/>
        </entities>
      </sentence>
      <sentence id="s129" text="At a fixed time during the Townsend pre-phase, the electric field across the gas gap is approximately constant .">
        <entities>
          <entity id="e617" type="G#PhysicalQuantity" text="electric field" start="9" end="11" orig_id="95"/>
          <entity id="e618" type="G#ElectrodeConfiguration" text="gas gap" start="13" end="15" orig_id="131"/>
        </entities>
      </sentence>
      <sentence id="s130" text="Fitting the axial profile of the He emission according to equation ( 6) yields α eff = 4.2(2) mm −1 as the average value for the temporal window between 253.5 µs and 254.5 µs .">
        <entities>
          <entity id="e619" type="G#Species" text="he" start="6" end="7" orig_id="278"/>
          <entity id="e620" type="G#PhysicalQuantity" text="he emission" start="6" end="8" orig_id="396"/>
          <entity id="e621" type="G#Unit" text="µs" start="30" end="31" orig_id="397"/>
        </entities>
      </sentence>
      <sentence id="s131" text="The increase in gap voltage during this temporal window causes no remarkable trend in α eff , hence the change is smaller than the standard deviation .">
        <entities>
          <entity id="e622" type="G#PhysicalQuantity" text="gap voltage" start="3" end="5" orig_id="35"/>
          <entity id="e623" type="G#Experiment" text="temporal window" start="7" end="9" orig_id="398"/>
        </entities>
      </sentence>
      <sentence id="s132" text="The ionization factor α × g at the anode ( z = g = 3 mm) yields 12-13 .">
        <entities>
          <entity id="e624" type="G#PhysicalEffect" text="ionization" start="1" end="2" orig_id="78"/>
          <entity id="e625" type="G#Unit" text="mm" start="15" end="16" orig_id="253"/>
        </entities>
      </sentence>
      <sentence id="s133" text="While coming closer to the breakdown, the growing space charge and corresponding enhancement of the local electric field may result in the critical value of α eff × g ≈ 18-20 that is necessary for streamer breakdown according to Meek's criterion .">
        <entities>
          <entity id="e626" type="G#PhysicalEffect" text="breakdown" start="5" end="6" orig_id="399"/>
          <entity id="e627" type="G#PhysicalQuantity" text="space charge" start="8" end="10" orig_id="80"/>
          <entity id="e628" type="G#PhysicalEffect" text="enhancement of the local electric field" start="12" end="18" orig_id="400"/>
          <entity id="e629" type="G#PhysicalQuantity" text="local electric field" start="15" end="18" orig_id="401"/>
          <entity id="e630" type="G#PhysicalEffect" text="streamer breakdown" start="35" end="37" orig_id="319"/>
          <entity id="e631" type="G#PhysicalEffect" text="meek s criterion" start="39" end="41" orig_id="402"/>
        </entities>
      </sentence>
      <sentence id="s134" text="Besides, a Townsend pre-phase of μs duration was also observed for the MD regime in air [12,16], as well as for the glow-like BD in He [29] .">
        <entities>
          <entity id="e632" type="G#Unit" text="μs" start="5" end="6" orig_id="97"/>
          <entity id="e633" type="G#PhysicalQuantity" text="duration" start="6" end="7" orig_id="285"/>
          <entity id="e634" type="G#Experiment" text="observed" start="9" end="10" orig_id="349"/>
          <entity id="e635" type="G#DischargeRegime" text="md regime" start="12" end="14" orig_id="334"/>
          <entity id="e636" type="G#PlasmaMedium" text="air" start="15" end="16" orig_id="54"/>
          <entity id="e637" type="G#DischargeRegime" text="glow like" start="22" end="23" orig_id="331"/>
          <entity id="e638" type="G#PlasmaMedium" text="he" start="25" end="26" orig_id="403"/>
        </entities>
      </sentence>
      <sentence id="s135" text="Figure 7 shows the ICCD camera images from the side-view at different times (a)-(i) (indicated above) during the development of two self-stabilized discharge filaments operating in He with 10 vol.% N 2 additive at a pressure of 1 bar .">
        <entities>
          <entity id="e639" type="G#DiagnosticDevice" text="iccd camera" start="4" end="6" orig_id="404"/>
          <entity id="e640" type="G#Experiment" text="iccd camera images" start="4" end="7" orig_id="405"/>
          <entity id="e641" type="G#DischargeRegime" text="self stabilized discharge filaments" start="21" end="24" orig_id="28"/>
          <entity id="e642" type="G#DischargeRegime" text="filaments" start="23" end="24" orig_id="29"/>
          <entity id="e643" type="G#PlasmaSource" text="he" start="26" end="27" orig_id="406"/>
          <entity id="e644" type="G#PlasmaMedium" text="10 vol n 2" start="28" end="32" orig_id="407"/>
          <entity id="e645" type="G#PlasmaMedium" text="10 vol n 2 additive" start="28" end="33" orig_id="408"/>
          <entity id="e646" type="G#Unit" text="vol" start="29" end="30" orig_id="280"/>
          <entity id="e647" type="G#Species" text="n 2" start="30" end="32" orig_id="281"/>
          <entity id="e648" type="G#PhysicalQuantity" text="pressure" start="35" end="36" orig_id="26"/>
          <entity id="e649" type="G#Unit" text="bar" start="38" end="39" orig_id="185"/>
        </entities>
      </sentence>
      <sentence id="s136" text="The exposure time of the camera was set to 2 ns, whereas the temporal jitter of the discharge comparing consecutive voltage periods was up to 10 ns .">
        <entities>
          <entity id="e650" type="G#PhysicalQuantity" text="exposure time" start="1" end="3" orig_id="409"/>
          <entity id="e651" type="G#DiagnosticDevice" text="camera" start="5" end="6" orig_id="264"/>
          <entity id="e652" type="G#Unit" text="ns" start="10" end="11" orig_id="410"/>
          <entity id="e653" type="G#PhysicalEffect" text="temporal jitter" start="13" end="15" orig_id="411"/>
          <entity id="e654" type="G#PowerSupply" text="voltage periods" start="20" end="22" orig_id="412"/>
        </entities>
      </sentence>
      <sentence id="s137" text="Note that the breakdown onset is influenced by small deviations in the residual surface charge amount and by the statistical time of effective electron generation .">
        <entities>
          <entity id="e655" type="G#PhysicalEffect" text="breakdown" start="3" end="4" orig_id="42"/>
          <entity id="e656" type="G#PhysicalQuantity" text="residual surface charge" start="12" end="15" orig_id="413"/>
          <entity id="e657" type="G#PhysicalQuantity" text="surface charge" start="13" end="15" orig_id="143"/>
          <entity id="e658" type="G#PhysicalQuantity" text="statistical time" start="19" end="21" orig_id="414"/>
          <entity id="e659" type="G#PhysicalEffect" text="effective electron generation" start="22" end="25" orig_id="415"/>
          <entity id="e660" type="G#Species" text="electron" start="23" end="24" orig_id="134"/>
        </entities>
      </sentence>
      <sentence id="s138" text="However, due to the overall sub-μs time scale of the discharge development, the characteristic discharge phases could be separated despite this temporal jitter .">
        <entities>
          <entity id="e661" type="G#PhysicalQuantity" text="time scale" start="6" end="8" orig_id="50"/>
          <entity id="e662" type="G#PlasmaProperties" text="discharge development" start="10" end="12" orig_id="416"/>
          <entity id="e663" type="G#PhysicalEffect" text="temporal jitter" start="21" end="23" orig_id="411"/>
        </entities>
      </sentence>
      <sentence id="s139" text="First, the Townsend pre-phase is well-localized, as indicated by the weak optical emission in front of the anode (a), (b) .">
        <entities>
          <entity id="e664" type="G#PhysicalEffect" text="optical emission" start="11" end="13" orig_id="417"/>
        </entities>
      </sentence>
      <sentence id="s140" text="Then, when a critical space charge has built up in front of the anode, a thin ionization channel closes across the gas gap (c) .">
        <entities>
          <entity id="e665" type="G#PhysicalEffect" text="ionization" start="16" end="17" orig_id="78"/>
          <entity id="e666" type="G#ElectrodeConfiguration" text="gas gap" start="21" end="23" orig_id="131"/>
        </entities>
      </sentence>
      <sentence id="s141" text="The propagation of the cathode-directed ioniz ation front is faster than the temporal jitter of the discharge up to 10 ns, which is similar to the streamer propagation of a microdischarge breakdown reaching velocities of 1 mm × ns −1 [12,15,16] .">
        <entities>
          <entity id="e667" type="G#PhysicalEffect" text="propagation of the cathode directed ioniz ation front" start="1" end="8" orig_id="418"/>
          <entity id="e668" type="G#PhysicalEffect" text="cathode directed ioniz ation front" start="4" end="8" orig_id="419"/>
          <entity id="e669" type="G#PhysicalEffect" text="ioniz ation front" start="5" end="8" orig_id="420"/>
          <entity id="e670" type="G#PhysicalEffect" text="temporal jitter" start="12" end="14" orig_id="411"/>
          <entity id="e671" type="G#Unit" text="ns" start="20" end="21" orig_id="410"/>
          <entity id="e672" type="G#PhysicalEffect" text="streamer propagation" start="26" end="28" orig_id="421"/>
          <entity id="e673" type="G#PhysicalEffect" text="microdischarge breakdown" start="30" end="32" orig_id="422"/>
          <entity id="e674" type="G#PhysicalQuantity" text="velocities" start="33" end="34" orig_id="423"/>
          <entity id="e675" type="G#Unit" text="mm" start="36" end="37" orig_id="7"/>
        </entities>
      </sentence>
      <sentence id="s142" text="It is striking that one of the two discharge filaments ignites some tens of nanoseconds earlier .">
        <entities>
          <entity id="e676" type="G#Unit" text="nanoseconds" start="14" end="15" orig_id="424"/>
        </entities>
      </sentence>
      <sentence id="s143" text="Most likely, small deviations in the amounts of deposited surface charges or in the gas flow rate influence the discharge re-ignition behavior .">
        <entities>
          <entity id="e677" type="G#PhysicalEffect" text="deposited" start="8" end="9" orig_id="226"/>
          <entity id="e678" type="G#PhysicalQuantity" text="deposited surface charges" start="8" end="11" orig_id="425"/>
          <entity id="e679" type="G#PhysicalQuantity" text="surface charges" start="9" end="11" orig_id="114"/>
          <entity id="e680" type="G#PhysicalQuantity" text="gas flow rate" start="14" end="17" orig_id="426"/>
          <entity id="e681" type="G#PhysicalQuantity" text="flow rate" start="15" end="17" orig_id="182"/>
          <entity id="e682" type="G#PhysicalEffect" text="discharge re ignition" start="19" end="21" orig_id="115"/>
        </entities>
      </sentence>
      <sentence id="s144" text="As already mentioned, the first breakdown might trigger the second one by the photo-desorption of surface electrons [35] .">
        <entities>
          <entity id="e683" type="G#PhysicalEffect" text="breakdown" start="5" end="6" orig_id="42"/>
          <entity id="e684" type="G#PhysicalEffect" text="photo desorption" start="13" end="14" orig_id="427"/>
          <entity id="e685" type="G#Species" text="surface electrons" start="15" end="17" orig_id="428"/>
        </entities>
      </sentence>
      <sentence id="s145" text="Once the initial ionization channel has formed, an axial structure builds up that is typical for the glow-like discharge until the current maximum is reached, (d)-(g) .">
        <entities>
          <entity id="e686" type="G#PhysicalEffect" text="ionization" start="3" end="4" orig_id="78"/>
          <entity id="e687" type="G#PlasmaSource" text="glow like discharge" start="17" end="19" orig_id="429"/>
          <entity id="e688" type="G#PhysicalQuantity" text="current maximum" start="21" end="23" orig_id="430"/>
        </entities>
      </sentence>
      <sentence id="s146" text="Starting at the cathode, a negative glow is followed by Faraday dark space, a positive column and anode glow [39] .">
        <entities>
          <entity id="e689" type="G#PlasmaProperties" text="negative glow" start="5" end="7" orig_id="431"/>
          <entity id="e690" type="G#PlasmaProperties" text="dark space" start="11" end="13" orig_id="432"/>
          <entity id="e691" type="G#PlasmaProperties" text="positive column" start="14" end="16" orig_id="433"/>
          <entity id="e692" type="G#PlasmaProperties" text="anode glow" start="17" end="19" orig_id="434"/>
        </entities>
      </sentence>
      <sentence id="s147" text="At this time, a weak optical emission intensity is recorded in the surrounding regions too, which indicates the presence of electrons there .">
        <entities>
          <entity id="e693" type="G#PhysicalQuantity" text="optical emission intensity" start="5" end="8" orig_id="435"/>
          <entity id="e694" type="G#Species" text="electrons" start="20" end="21" orig_id="294"/>
        </entities>
      </sentence>
      <sentence id="s148" text="Finally, the discharge post-phase is characterized by a longlasting optical emission inside the discharge channel and radially propagating surface discharges on both dielectrics, (g)-(i) .">
        <entities>
          <entity id="e695" type="G#PhysicalEffect" text="optical emission" start="9" end="11" orig_id="417"/>
          <entity id="e696" type="G#PlasmaProperties" text="discharge channel" start="13" end="15" orig_id="436"/>
          <entity id="e697" type="G#DischargeRegime" text="surface discharges" start="18" end="20" orig_id="43"/>
        </entities>
      </sentence>
      <sentence id="s149" text="Again, the surface discharges are typical for the MD development .">
        <entities>
          <entity id="e698" type="G#DischargeRegime" text="surface discharges" start="2" end="4" orig_id="43"/>
          <entity id="e699" type="G#Experiment" text="md development" start="8" end="10" orig_id="437"/>
        </entities>
      </sentence>
      <sentence id="s150" text="In figure 8, Abel inversion of the ICCD camera images allows us a closer look at the radial development of the surface discharges during the afterglow .">
        <entities>
          <entity id="e700" type="G#DiagnosticDevice" text="iccd camera" start="7" end="9" orig_id="404"/>
          <entity id="e701" type="G#Experiment" text="iccd camera images" start="7" end="10" orig_id="405"/>
          <entity id="e702" type="G#PlasmaProperties" text="radial development" start="17" end="19" orig_id="438"/>
          <entity id="e703" type="G#DischargeRegime" text="surface discharges" start="21" end="23" orig_id="43"/>
          <entity id="e704" type="G#DischargeRegime" text="afterglow" start="25" end="26" orig_id="439"/>
        </entities>
      </sentence>
      <sentence id="s151" text="The lateral propagation is annular on the cathodic dielectric .">
        <entities>
          <entity id="e705" type="G#PhysicalEffect" text="lateral propagation" start="1" end="3" orig_id="440"/>
          <entity id="e706" type="G#ElectrodeConfiguration" text="cathodic dielectric" start="7" end="9" orig_id="295"/>
        </entities>
      </sentence>
      <sentence id="s152" text="Here, the constricted ionization front accumulates positive surface charges resulting in a high lateral electric field gradient .">
        <entities>
          <entity id="e707" type="G#PhysicalEffect" text="constricted ionization front" start="2" end="5" orig_id="441"/>
          <entity id="e708" type="G#PhysicalEffect" text="ionization" start="3" end="4" orig_id="78"/>
          <entity id="e709" type="G#PhysicalQuantity" text="positive surface charges" start="6" end="9" orig_id="442"/>
          <entity id="e710" type="G#PhysicalQuantity" text="surface charges" start="7" end="9" orig_id="114"/>
          <entity id="e711" type="G#PhysicalQuantity" text="electric field" start="14" end="16" orig_id="95"/>
        </entities>
      </sentence>
      <sentence id="s153" text="Note that the surface discharge on the anodic dielectric is slightly slower and lasts noticeably longer .">
        <entities>
          <entity id="e712" type="G#DischargeRegime" text="surface discharge" start="3" end="5" orig_id="443"/>
          <entity id="e713" type="G#ElectrodeConfiguration" text="anodic dielectric" start="7" end="9" orig_id="444"/>
        </entities>
      </sentence>
      <sentence id="s154" text="Most likely, this is due to the wider accumulation of negative surface charges, which does not cause as high electric field gradients as on the cathodic dielectric .">
        <entities>
          <entity id="e714" type="G#PhysicalEffect" text="accumulation of negative surface charges" start="8" end="13" orig_id="445"/>
          <entity id="e715" type="G#PhysicalQuantity" text="negative surface charges" start="10" end="13" orig_id="446"/>
          <entity id="e716" type="G#PhysicalQuantity" text="electric field" start="19" end="21" orig_id="95"/>
          <entity id="e717" type="G#ElectrodeConfiguration" text="cathodic dielectric" start="25" end="27" orig_id="295"/>
        </entities>
      </sentence>
      <sentence id="s155" text="Figure 9 shows (a) the discharge current profile, (b) the spatiotemporal evolution of the He emission at 706.5 nm and (c) the intensity ratio of the He emission at 667.8 nm and 728.1 nm during the breakdown of the self-stabilized discharge filament .">
        <entities>
          <entity id="e718" type="G#PhysicalQuantity" text="discharge current" start="5" end="7" orig_id="204"/>
          <entity id="e719" type="G#PhysicalQuantity" text="discharge current profile" start="5" end="8" orig_id="447"/>
          <entity id="e720" type="G#PlasmaProperties" text="spatiotemporal evolution" start="10" end="12" orig_id="448"/>
          <entity id="e721" type="G#Species" text="he" start="14" end="15" orig_id="278"/>
          <entity id="e722" type="G#Unit" text="nm" start="18" end="19" orig_id="449"/>
          <entity id="e723" type="G#PhysicalQuantity" text="intensity" start="22" end="23" orig_id="235"/>
          <entity id="e724" type="G#PhysicalEffect" text="emission" start="27" end="28" orig_id="450"/>
          <entity id="e725" type="G#PhysicalEffect" text="breakdown" start="36" end="37" orig_id="42"/>
        </entities>
      </sentence>
      <sentence id="s156" text="The He emission in (b) reveals the Townsend pre-phase, the negative glow, Faraday dark space, positive column and anode glow at the maximum discharge current, as well as the long-lasting afterglow .">
        <entities>
          <entity id="e726" type="G#Species" text="he" start="1" end="2" orig_id="278"/>
          <entity id="e727" type="G#DischargeRegime" text="townsend" start="7" end="8" orig_id="451"/>
          <entity id="e728" type="G#PlasmaProperties" text="negative glow" start="10" end="12" orig_id="452"/>
          <entity id="e729" type="G#PlasmaProperties" text="dark space positive column" start="13" end="17" orig_id="453"/>
          <entity id="e730" type="G#PlasmaProperties" text="positive column" start="15" end="17" orig_id="433"/>
          <entity id="e731" type="G#PlasmaProperties" text="anode glow" start="18" end="20" orig_id="434"/>
          <entity id="e732" type="G#PhysicalQuantity" text="discharge current" start="23" end="25" orig_id="208"/>
          <entity id="e733" type="G#DischargeRegime" text="afterglow" start="30" end="31" orig_id="439"/>
        </entities>
      </sentence>
      <sentence id="s157" text="Note that the anode glow is even more intensive than the negative glow .">
        <entities>
          <entity id="e734" type="G#PlasmaProperties" text="anode glow" start="3" end="5" orig_id="434"/>
          <entity id="e735" type="G#PlasmaProperties" text="negative glow" start="11" end="13" orig_id="431"/>
        </entities>
      </sentence>
      <sentence id="s158" text="Except the filamentary appearance and the surface discharges on the dielectrics, the similarities are obvious between the breakdown mechanisms of a self-stabilized discharge filament in He/N 2 mixtures and the diffuse glow-like BD typically operating in nominally pure He .">
        <entities>
          <entity id="e736" type="G#DischargeRegime" text="filamentary" start="2" end="3" orig_id="245"/>
          <entity id="e737" type="G#DischargeRegime" text="surface discharges" start="6" end="8" orig_id="43"/>
          <entity id="e738" type="G#PhysicalEffect" text="breakdown mechanisms" start="17" end="19" orig_id="454"/>
          <entity id="e739" type="G#DischargeRegime" text="self stabilized discharge filament" start="21" end="24" orig_id="455"/>
          <entity id="e740" type="G#Species" text="he n 2" start="25" end="27" orig_id="270"/>
          <entity id="e741" type="G#PlasmaMedium" text="he n 2 mixtures" start="25" end="28" orig_id="456"/>
          <entity id="e742" type="G#DischargeRegime" text="diffuse" start="30" end="31" orig_id="304"/>
          <entity id="e743" type="G#DischargeRegime" text="glow like" start="31" end="32" orig_id="331"/>
          <entity id="e744" type="G#DischargeRegime" text="glow like bd" start="31" end="33" orig_id="457"/>
          <entity id="e745" type="G#DischargeRegime" text="bd" start="32" end="33" orig_id="458"/>
          <entity id="e746" type="G#PlasmaMedium" text="nominally pure he" start="36" end="39" orig_id="459"/>
          <entity id="e747" type="G#PlasmaMedium" text="pure he" start="37" end="39" orig_id="460"/>
          <entity id="e748" type="G#Species" text="he" start="38" end="39" orig_id="278"/>
        </entities>
      </sentence>
      <sentence id="s159" text="From the literature, it is known [40] that the ratio between the intensities of the He singlet transitions at 667.8 nm and 728.1 nm in figure 9(c) is a measure of the local electric field, if the predominant population of the corresponding radiative states He(3 1 D) and He(3 1 S) by electron-impact excitation from the He ground state is ensured .">
        <entities>
          <entity id="e749" type="G#PhysicalQuantity" text="intensities" start="12" end="13" orig_id="461"/>
          <entity id="e750" type="G#PhysicalEffect" text="he singlet transitions" start="15" end="18" orig_id="462"/>
          <entity id="e751" type="G#PhysicalQuantity" text="local electric field" start="32" end="35" orig_id="463"/>
          <entity id="e752" type="G#Species" text="radiative states" start="42" end="44" orig_id="464"/>
        </entities>
      </sentence>
      <sentence id="s160" text="First, collisional-induced conversion from the metastable singlet state He(2 1 S) to the slightly less energetic metastable triplet state He(2 3 S) is much more efficient than vice versa .">
        <entities>
          <entity id="e753" type="G#PhysicalEffect" text="collisional induced conversion" start="1" end="3" orig_id="465"/>
          <entity id="e754" type="G#Species" text="metastable singlet state" start="5" end="8" orig_id="466"/>
          <entity id="e755" type="G#Species" text="he 2 1 s" start="8" end="11" orig_id="467"/>
          <entity id="e756" type="G#Species" text="metastable triplet state he 2 3 s" start="16" end="22" orig_id="468"/>
          <entity id="e757" type="G#Species" text="he 2 3 s" start="19" end="22" orig_id="469"/>
        </entities>
      </sentence>
      <sentence id="s161" text="Second, both metastable states are effectively quenched by nitrogen molecules via Penning ionization, according to the rate coefficient k PI = 5 × 10 −11 cm 3 s −1 [37] .">
        <entities>
          <entity id="e758" type="G#Species" text="metastable states" start="2" end="4" orig_id="317"/>
          <entity id="e759" type="G#PhysicalEffect" text="quenched" start="6" end="7" orig_id="470"/>
          <entity id="e760" type="G#Species" text="nitrogen molecules" start="8" end="10" orig_id="471"/>
          <entity id="e761" type="G#PhysicalEffect" text="penning ionization" start="11" end="13" orig_id="472"/>
          <entity id="e762" type="G#PhysicalQuantity" text="rate coefficient" start="16" end="18" orig_id="473"/>
          <entity id="e763" type="G#Unit" text="cm 3" start="25" end="27" orig_id="474"/>
        </entities>
      </sentence>
      <sentence id="s162" text="The additive of 10 vol.% N 2 to He at the total pressure of 1 bar corresponds to a nitrogen density of n N2 ≈ 2 × 10 18 cm −3 .">
        <entities>
          <entity id="e764" type="G#Unit" text="vol" start="4" end="5" orig_id="280"/>
          <entity id="e765" type="G#Species" text="n 2" start="5" end="7" orig_id="281"/>
          <entity id="e766" type="G#Species" text="he" start="8" end="9" orig_id="278"/>
          <entity id="e767" type="G#PhysicalQuantity" text="pressure" start="12" end="13" orig_id="26"/>
          <entity id="e768" type="G#Unit" text="bar" start="15" end="16" orig_id="185"/>
          <entity id="e769" type="G#Species" text="nitrogen" start="19" end="20" orig_id="22"/>
          <entity id="e770" type="G#PhysicalQuantity" text="nitrogen density" start="19" end="21" orig_id="475"/>
          <entity id="e771" type="G#Species" text="n2" start="23" end="24" orig_id="476"/>
          <entity id="e772" type="G#Unit" text="cm" start="29" end="30" orig_id="477"/>
        </entities>
      </sentence>
      <sentence id="s163" text="Under these conditions, the lifetime of He metastable states is τ He m ≈ (k PI n N2 ) −1 ≈ 10 ns .">
        <entities>
          <entity id="e773" type="G#PhysicalQuantity" text="lifetime" start="4" end="5" orig_id="385"/>
          <entity id="e774" type="G#Species" text="he metastable states" start="6" end="9" orig_id="316"/>
          <entity id="e775" type="G#Species" text="metastable states" start="7" end="9" orig_id="317"/>
          <entity id="e776" type="G#Unit" text="ns" start="22" end="23" orig_id="100"/>
        </entities>
      </sentence>
      <sentence id="s164" text="Hence, electron-impact excitation from the metastable single state He(2 1 S) to the radiative states He(3 1 D) and He(3 1 S) is negligible .">
        <entities>
          <entity id="e777" type="G#PhysicalEffect" text="electron impact excitation" start="1" end="3" orig_id="478"/>
          <entity id="e778" type="G#Species" text="metastable single state" start="5" end="8" orig_id="479"/>
          <entity id="e779" type="G#Species" text="he 2 1 s" start="8" end="11" orig_id="467"/>
          <entity id="e780" type="G#Species" text="radiative states" start="13" end="15" orig_id="464"/>
          <entity id="e781" type="G#Species" text="he 3 1 d" start="15" end="18" orig_id="480"/>
          <entity id="e782" type="G#Species" text="he 3 1 s" start="19" end="22" orig_id="481"/>
        </entities>
      </sentence>
      <sentence id="s165" text="As can be seen in figure 9(c), during the late discharge prephase, the intensity ratio and thus the electric field is slightly enhanced near the anode, which indicates the positive space charge formation .">
        <entities>
          <entity id="e783" type="G#DischargeRegime" text="discharge prephase" start="10" end="12" orig_id="482"/>
          <entity id="e784" type="G#PhysicalQuantity" text="intensity" start="13" end="14" orig_id="235"/>
          <entity id="e785" type="G#PhysicalQuantity" text="intensity ratio" start="13" end="15" orig_id="483"/>
          <entity id="e786" type="G#PhysicalQuantity" text="electric field" start="18" end="20" orig_id="95"/>
          <entity id="e787" type="G#PhysicalQuantity" text="positive space charge" start="29" end="32" orig_id="484"/>
          <entity id="e788" type="G#PhysicalEffect" text="positive space charge formation" start="29" end="33" orig_id="485"/>
          <entity id="e789" type="G#PhysicalQuantity" text="space charge" start="30" end="32" orig_id="80"/>
        </entities>
      </sentence>
      <sentence id="s166" text="Afterwards, the propagation of the ionization front occurs within the temporal discharge jitter, but a closer look reveals the cathode-directed development ending up with a global maximum .">
        <entities>
          <entity id="e790" type="G#PhysicalEffect" text="propagation of the ionization front" start="2" end="7" orig_id="486"/>
          <entity id="e791" type="G#PhysicalEffect" text="ionization" start="5" end="6" orig_id="78"/>
          <entity id="e792" type="G#PhysicalEffect" text="ionization front" start="5" end="7" orig_id="487"/>
          <entity id="e793" type="G#PhysicalEffect" text="temporal discharge jitter" start="10" end="13" orig_id="488"/>
          <entity id="e794" type="G#PlasmaProperties" text="cathode directed development" start="19" end="21" orig_id="489"/>
        </entities>
      </sentence>
      <sentence id="s167" text="This significant enhancement of the electric field at the moment of the discharge current maximum indicates the cathode fall region that is most characteristic of the glow-like BD .">
        <entities>
          <entity id="e795" type="G#PhysicalEffect" text="enhancement of the electric field" start="2" end="7" orig_id="490"/>
          <entity id="e796" type="G#PhysicalQuantity" text="electric field" start="5" end="7" orig_id="95"/>
          <entity id="e797" type="G#PhysicalQuantity" text="discharge current" start="12" end="14" orig_id="204"/>
          <entity id="e798" type="G#PhysicalQuantity" text="discharge current maximum" start="12" end="15" orig_id="309"/>
          <entity id="e799" type="G#PlasmaProperties" text="cathode fall region" start="17" end="20" orig_id="491"/>
          <entity id="e800" type="G#DischargeRegime" text="glow like" start="26" end="27" orig_id="331"/>
          <entity id="e801" type="G#DischargeRegime" text="glow like bd" start="26" end="28" orig_id="457"/>
        </entities>
      </sentence>
      <sentence id="s168" text="At the same time, the electric field within the positive column is clearly lower and almost constant, as known from simulations of the BD in He [39] .">
        <entities>
          <entity id="e802" type="G#PhysicalQuantity" text="time" start="3" end="4" orig_id="492"/>
          <entity id="e803" type="G#PhysicalQuantity" text="electric field" start="5" end="7" orig_id="95"/>
          <entity id="e804" type="G#PlasmaProperties" text="positive column" start="9" end="11" orig_id="433"/>
          <entity id="e805" type="G#PlasmaSource" text="bd" start="23" end="24" orig_id="493"/>
        </entities>
      </sentence>
      <sentence id="s169" text="Note that the measurement does not distinguish between the axial and lateral electric field components .">
        <entities>
          <entity id="e806" type="G#PhysicalQuantity" text="electric field" start="12" end="14" orig_id="95"/>
        </entities>
      </sentence>
      <sentence id="s170" text="Consequently, both the long-lasting global maximum and local maximum indicate high lateral electric field gradients, due to well-localized surface charge spots, which cause the propagation of surface discharges on both di electrics .">
        <entities>
          <entity id="e807" type="G#PhysicalQuantity" text="electric field" start="12" end="14" orig_id="95"/>
          <entity id="e808" type="G#PhysicalQuantity" text="electric field gradients" start="12" end="15" orig_id="494"/>
          <entity id="e809" type="G#PhysicalEffect" text="surface charge spots" start="18" end="21" orig_id="495"/>
          <entity id="e810" type="G#PhysicalEffect" text="propagation of surface discharges" start="24" end="28" orig_id="496"/>
          <entity id="e811" type="G#DischargeRegime" text="surface discharges" start="26" end="28" orig_id="43"/>
        </entities>
      </sentence>
      <sentence id="s171" text="Note that the surface discharge on the anodic dielectric is slower and lasts longer, as revealed by the Abel inversion of the ICCD camera images in figure 8 .">
        <entities>
          <entity id="e812" type="G#DischargeRegime" text="surface discharge" start="3" end="5" orig_id="443"/>
          <entity id="e813" type="G#ElectrodeConfiguration" text="anodic dielectric" start="7" end="9" orig_id="444"/>
          <entity id="e814" type="G#PhysicalEffect" text="abel inversion" start="18" end="20" orig_id="497"/>
          <entity id="e815" type="G#DiagnosticDevice" text="iccd camera" start="22" end="24" orig_id="404"/>
          <entity id="e816" type="G#Experiment" text="iccd camera images" start="22" end="25" orig_id="405"/>
        </entities>
      </sentence>
      <sentence id="s172" text="After the discussion of the discharge development in the volume from the side-view, the correlated surface charge dynamics is presented .">
        <entities>
          <entity id="e817" type="G#PlasmaProperties" text="discharge development" start="5" end="7" orig_id="18"/>
          <entity id="e818" type="G#PhysicalQuantity" text="volume" start="9" end="10" orig_id="19"/>
        </entities>
      </sentence>
      <sentence id="s173" text="Figure 10(a) depicts the accumulation of positive surface charges onto the cathodic dielectric during the breakdown of a single self-stabilized discharge filament operated in He with 10 vol.% N 2 at a pressure of 1 bar and a feeding voltage amplitude of 2.2 kV .">
        <entities>
          <entity id="e819" type="G#PhysicalEffect" text="accumulation of positive surface charges" start="4" end="9" orig_id="498"/>
          <entity id="e820" type="G#PhysicalQuantity" text="surface charges" start="7" end="9" orig_id="114"/>
          <entity id="e821" type="G#ElectrodeConfiguration" text="cathodic dielectric" start="11" end="13" orig_id="295"/>
          <entity id="e822" type="G#PhysicalEffect" text="breakdown" start="15" end="16" orig_id="42"/>
          <entity id="e823" type="G#DischargeRegime" text="single self stabilized discharge filament" start="18" end="22" orig_id="141"/>
          <entity id="e824" type="G#DischargeRegime" text="he" start="24" end="25" orig_id="499"/>
          <entity id="e825" type="G#Unit" text="vol" start="27" end="28" orig_id="280"/>
          <entity id="e826" type="G#Species" text="n 2" start="28" end="30" orig_id="281"/>
          <entity id="e827" type="G#PhysicalQuantity" text="pressure" start="32" end="33" orig_id="26"/>
          <entity id="e828" type="G#Unit" text="bar" start="35" end="36" orig_id="185"/>
          <entity id="e829" type="G#PowerSupply" text="feeding voltage" start="38" end="40" orig_id="27"/>
        </entities>
      </sentence>
      <sentence id="s174" text="Below, the surface charge density distribution is shown and the 1D profile through the maximum of the surface charge spot is plotted above .">
        <entities>
          <entity id="e830" type="G#PhysicalQuantity" text="surface charge density" start="2" end="5" orig_id="232"/>
          <entity id="e831" type="G#PhysicalQuantity" text="surface charge density distribution" start="2" end="6" orig_id="240"/>
          <entity id="e832" type="G#PhysicalQuantity" text="1d profile" start="10" end="12" orig_id="500"/>
          <entity id="e833" type="G#PhysicalQuantity" text="surface charge" start="17" end="19" orig_id="143"/>
        </entities>
      </sentence>
      <sentence id="s175" text="During the discharge pre-phase, residual surface electrons are present on the cathodic dielectric .">
        <entities>
          <entity id="e834" type="G#Species" text="residual surface electrons" start="4" end="7" orig_id="501"/>
          <entity id="e835" type="G#Species" text="surface electrons" start="5" end="7" orig_id="428"/>
          <entity id="e836" type="G#ElectrodeConfiguration" text="cathodic dielectric" start="11" end="13" orig_id="295"/>
        </entities>
      </sentence>
      <sentence id="s176" text="Their material-dependent binding energy is in the order of 1 eV [21,22] .">
        <entities>
          <entity id="e837" type="G#PhysicalQuantity" text="binding energy" start="2" end="4" orig_id="502"/>
          <entity id="e838" type="G#Unit" text="ev" start="10" end="11" orig_id="503"/>
        </entities>
      </sentence>
      <sentence id="s177" text="That is why surface electrons can be easily released and may support the pre-ionization .">
        <entities>
          <entity id="e839" type="G#Species" text="surface electrons" start="3" end="5" orig_id="428"/>
          <entity id="e840" type="G#PhysicalEffect" text="pre ionization" start="13" end="14" orig_id="312"/>
        </entities>
      </sentence>
      <sentence id="s178" text="Actually, no decreasing trend in the surface electron density is identified during the pre-phase, however, the resolution is about 0.05 nC cm −2 .">
        <entities>
          <entity id="e841" type="G#PhysicalQuantity" text="surface electron density" start="6" end="9" orig_id="504"/>
          <entity id="e842" type="G#PhysicalQuantity" text="electron density" start="7" end="9" orig_id="395"/>
          <entity id="e843" type="G#Experiment" text="resolution" start="16" end="17" orig_id="505"/>
          <entity id="e844" type="G#Unit" text="nc cm 2" start="20" end="23" orig_id="506"/>
          <entity id="e845" type="G#Unit" text="cm" start="21" end="22" orig_id="477"/>
        </entities>
      </sentence>
      <sentence id="s179" text="Note that even a very small amount of 10 pC additional electrons is able to significantly enhance the pre-ionization in He barrier discharges, as revealed by a laser-photodesorption experiment in combination with a fluid simulation [41] .">
        <entities>
          <entity id="e846" type="G#Unit" text="pc" start="9" end="10" orig_id="507"/>
          <entity id="e847" type="G#Species" text="electrons" start="11" end="12" orig_id="294"/>
          <entity id="e848" type="G#PlasmaSource" text="he barrier discharges" start="20" end="23" orig_id="508"/>
          <entity id="e849" type="G#PlasmaSource" text="barrier discharges" start="21" end="23" orig_id="509"/>
          <entity id="e850" type="G#Experiment" text="laser photodesorption experiment" start="27" end="29" orig_id="510"/>
          <entity id="e851" type="G#Modelling" text="fluid simulation" start="33" end="35" orig_id="511"/>
        </entities>
      </sentence>
      <sentence id="s180" text="As already known from previous studies [27,28], surface charges form Gaussian profiles at the footprint of MD channels .">
        <entities>
          <entity id="e852" type="G#PhysicalQuantity" text="surface charges" start="7" end="9" orig_id="114"/>
          <entity id="e853" type="G#PhysicalQuantity" text="gaussian profiles" start="10" end="12" orig_id="127"/>
          <entity id="e854" type="G#PlasmaProperties" text="md channels" start="16" end="18" orig_id="512"/>
        </entities>
      </sentence>
      <sentence id="s181" text="The density profile of negative surface charges has a minimum of about σ − = −3 nC cm −2 and a full width at half maximum of about ω − = 6.0 mm .">
        <entities>
          <entity id="e855" type="G#PhysicalQuantity" text="density profile" start="1" end="3" orig_id="394"/>
          <entity id="e856" type="G#PhysicalQuantity" text="negative surface charges" start="4" end="7" orig_id="513"/>
          <entity id="e857" type="G#Unit" text="nc cm" start="16" end="18" orig_id="514"/>
          <entity id="e858" type="G#Unit" text="cm" start="17" end="18" orig_id="477"/>
        </entities>
      </sentence>
      <sentence id="s182" text="The latter is large compared to 1.6 mm observed for MDs in nitrogen [27] .">
        <entities>
          <entity id="e859" type="G#PlasmaSource" text="mds" start="10" end="11" orig_id="52"/>
          <entity id="e860" type="G#Species" text="nitrogen" start="12" end="13" orig_id="22"/>
        </entities>
      </sentence>
      <sentence id="s183" text="Assuming the Gaussian distribution, the overall charge amount is about Once the breakdown has started at 5.4 µs in figure 10(a), positive surface charges are accumulating on the cathodic di electric .">
        <entities>
          <entity id="e861" type="G#PhysicalEffect" text="gaussian distribution" start="2" end="4" orig_id="515"/>
          <entity id="e862" type="G#PhysicalQuantity" text="charge amount" start="6" end="8" orig_id="516"/>
          <entity id="e863" type="G#PhysicalEffect" text="breakdown" start="12" end="13" orig_id="42"/>
          <entity id="e864" type="G#Unit" text="µs" start="17" end="18" orig_id="397"/>
          <entity id="e865" type="G#PhysicalQuantity" text="positive surface charges" start="21" end="24" orig_id="442"/>
          <entity id="e866" type="G#ElectrodeConfiguration" text="cathodic di electric" start="28" end="31" orig_id="517"/>
        </entities>
      </sentence>
      <sentence id="s184" text="In more detail, the positive ions, coming along with the constricted ionization front, hit the cathodic dielectric at the center of the negative surface charge spot .">
        <entities>
          <entity id="e867" type="G#Species" text="positive ions" start="4" end="6" orig_id="518"/>
          <entity id="e868" type="G#PhysicalEffect" text="constricted ionization front" start="10" end="13" orig_id="519"/>
          <entity id="e869" type="G#PhysicalEffect" text="ionization" start="11" end="12" orig_id="78"/>
          <entity id="e870" type="G#ElectrodeConfiguration" text="cathodic dielectric" start="15" end="17" orig_id="295"/>
          <entity id="e871" type="G#PhysicalEffect" text="negative surface charge spot" start="22" end="26" orig_id="520"/>
        </entities>
      </sentence>
      <sentence id="s185" text="Thereby, a ring of residual surface electrons remains during the breakdown between 5.6 µs and 5.7 µs .">
        <entities>
          <entity id="e872" type="G#PhysicalEffect" text="breakdown" start="10" end="11" orig_id="42"/>
          <entity id="e873" type="G#Unit" text="µs" start="13" end="14" orig_id="397"/>
        </entities>
      </sentence>
      <sentence id="s186" text="According to the ICCD camera image (g) in figure 7, the cathodic footprint of the discharge channel has a lateral extent of about 3 mm .">
        <entities>
          <entity id="e874" type="G#DiagnosticDevice" text="iccd camera" start="3" end="5" orig_id="404"/>
          <entity id="e875" type="G#Experiment" text="iccd camera image" start="3" end="6" orig_id="521"/>
          <entity id="e876" type="G#Experiment" text="cathodic footprint" start="11" end="13" orig_id="522"/>
          <entity id="e877" type="G#Unit" text="mm" start="24" end="25" orig_id="7"/>
        </entities>
      </sentence>
      <sentence id="s187" text="This correlates well with the inner diameter of the surface electron ring .">
        <entities>
          <entity id="e878" type="G#PhysicalQuantity" text="diameter" start="6" end="7" orig_id="363"/>
        </entities>
      </sentence>
      <sentence id="s188" text="The centered formation of the positive surface charges was also observed for the patterned BD in He/N 2 mixtures at significantly lower pressures [31] .">
        <entities>
          <entity id="e879" type="G#PhysicalQuantity" text="positive surface charges" start="5" end="8" orig_id="442"/>
          <entity id="e880" type="G#PhysicalQuantity" text="surface charges" start="6" end="8" orig_id="114"/>
          <entity id="e881" type="G#PlasmaSource" text="bd" start="14" end="15" orig_id="493"/>
          <entity id="e882" type="G#Species" text="he n 2" start="16" end="18" orig_id="270"/>
          <entity id="e883" type="G#PlasmaMedium" text="he n 2 mixtures" start="16" end="19" orig_id="456"/>
          <entity id="e884" type="G#PlasmaMedium" text="lower pressures" start="21" end="23" orig_id="288"/>
          <entity id="e885" type="G#PhysicalQuantity" text="pressures" start="22" end="23" orig_id="60"/>
        </entities>
      </sentence>
      <sentence id="s189" text="Complementarily, the deposition of negative surface charges onto the anodic dielectric is shown in figure 10(b) .">
        <entities>
          <entity id="e886" type="G#PhysicalEffect" text="deposition of negative surface charges" start="2" end="7" orig_id="523"/>
          <entity id="e887" type="G#PhysicalQuantity" text="negative surface charges" start="4" end="7" orig_id="513"/>
          <entity id="e888" type="G#ElectrodeConfiguration" text="anodic dielectric" start="9" end="11" orig_id="444"/>
        </entities>
      </sentence>
      <sentence id="s190" text="In this case, the subsequent half-period of the feeding voltage was recorded, due to the restriction of the surface charge diagnostics to the bottom electrode that is covered with the BSO crystal .">
        <entities>
          <entity id="e889" type="G#PowerSupply" text="half period of the feeding voltage" start="5" end="10" orig_id="524"/>
          <entity id="e890" type="G#PowerSupply" text="feeding voltage" start="8" end="10" orig_id="27"/>
          <entity id="e891" type="G#Experiment" text="surface charge diagnostics" start="18" end="21" orig_id="16"/>
          <entity id="e892" type="G#PlasmaSource" text="bottom electrode" start="23" end="25" orig_id="525"/>
          <entity id="e893" type="G#ElectrodeMaterial" text="bso crystal" start="30" end="32" orig_id="215"/>
        </entities>
      </sentence>
      <sentence id="s191" text="The Gaussian profile of the positive surface charge just before the breakdown onset differs significantly from the negative profile already described, compare figure 10(a) at 5.4 µs with figure 10(b) at 255.3 µs .">
        <entities>
          <entity id="e894" type="G#PhysicalQuantity" text="positive surface charge" start="5" end="8" orig_id="526"/>
          <entity id="e895" type="G#PhysicalEffect" text="breakdown" start="11" end="12" orig_id="42"/>
          <entity id="e896" type="G#PhysicalQuantity" text="negative profile" start="17" end="19" orig_id="527"/>
          <entity id="e897" type="G#Unit" text="µs" start="26" end="27" orig_id="397"/>
        </entities>
      </sentence>
      <sentence id="s192" text="The amplitude is about 6 nC cm −2 and thus twice as large, but the full width at half maximum is smaller and amounts to 4.8 mm .">
        <entities>
          <entity id="e898" type="G#Unit" text="nc" start="5" end="6" orig_id="528"/>
          <entity id="e899" type="G#Unit" text="nc cm 2" start="5" end="8" orig_id="506"/>
          <entity id="e900" type="G#Unit" text="cm" start="6" end="7" orig_id="477"/>
        </entities>
      </sentence>
      <sentence id="s193" text="The discrepancy to the negative charge amount (−1.7 nC) was already pointed out in previous investigations [27,29] .">
        <entities>
          <entity id="e901" type="G#PhysicalQuantity" text="negative charge amount" start="4" end="7" orig_id="529"/>
        </entities>
      </sentence>
      <sentence id="s194" text="Most likely, it indicates a bias caused by different secondary electron emission coefficients of the dielectrics used [42] .">
        <entities>
          <entity id="e902" type="G#PhysicalEffect" text="secondary electron emission" start="9" end="12" orig_id="133"/>
          <entity id="e903" type="G#PhysicalQuantity" text="secondary electron emission coefficients" start="9" end="13" orig_id="530"/>
          <entity id="e904" type="G#ElectrodeMaterial" text="dielectrics" start="15" end="16" orig_id="128"/>
        </entities>
      </sentence>
      <sentence id="s195" text="During the breakdown phase, the wide deposition of surface electrons on the anodic dielectric is revealed, unlike the centered accumulation of positive surface charges on the cathodic dielectric resulting in a ring of residual surface electrons .">
        <entities>
          <entity id="e905" type="G#DischargeRegime" text="breakdown phase" start="2" end="4" orig_id="531"/>
          <entity id="e906" type="G#PhysicalEffect" text="deposition of surface electrons" start="6" end="10" orig_id="532"/>
          <entity id="e907" type="G#Species" text="surface electrons" start="8" end="10" orig_id="428"/>
          <entity id="e908" type="G#ElectrodeConfiguration" text="anodic dielectric" start="12" end="14" orig_id="444"/>
          <entity id="e909" type="G#PhysicalEffect" text="accumulation of positive surface charges" start="19" end="24" orig_id="498"/>
          <entity id="e910" type="G#PhysicalQuantity" text="positive surface charges" start="21" end="24" orig_id="442"/>
          <entity id="e911" type="G#ElectrodeConfiguration" text="cathodic dielectric" start="26" end="28" orig_id="295"/>
        </entities>
      </sentence>
      <sentence id="s196" text="Note that the low-pressure patterned BD also shows a ring formation on the anodic dielectric [31] .">
        <entities>
          <entity id="e912" type="G#PhysicalEffect" text="ring formation" start="9" end="11" orig_id="533"/>
          <entity id="e913" type="G#ElectrodeConfiguration" text="anodic dielectric" start="13" end="15" orig_id="444"/>
        </entities>
      </sentence>
      <sentence id="s197" text="However, the wide deposition of surface electrons is expected, due to the much larger mobility of incident electrons compared to the (positive) ions .">
        <entities>
          <entity id="e914" type="G#PhysicalEffect" text="deposition of surface electrons" start="3" end="7" orig_id="532"/>
          <entity id="e915" type="G#Species" text="surface electrons" start="5" end="7" orig_id="428"/>
          <entity id="e916" type="G#Species" text="electrons" start="6" end="7" orig_id="294"/>
          <entity id="e917" type="G#PhysicalQuantity" text="mobility of incident electrons" start="14" end="18" orig_id="534"/>
          <entity id="e918" type="G#Species" text="incident electrons" start="16" end="18" orig_id="535"/>
          <entity id="e919" type="G#Species" text="ions" start="22" end="23" orig_id="536"/>
        </entities>
      </sentence>
      <sentence id="s198" text="The incident electrons are repelled sideways by the already deposited negative surface charges .">
        <entities>
          <entity id="e920" type="G#Species" text="electrons" start="2" end="3" orig_id="294"/>
          <entity id="e921" type="G#PhysicalQuantity" text="negative surface charges" start="10" end="13" orig_id="513"/>
          <entity id="e922" type="G#PhysicalQuantity" text="surface charges" start="11" end="13" orig_id="114"/>
        </entities>
      </sentence>
      <sentence id="s199" text="Again, this correlates with the laterally more extended emission intensity in front of the anode; see (g) in figure 7 .">
        <entities>
          <entity id="e923" type="G#PhysicalQuantity" text="emission intensity" start="8" end="10" orig_id="392"/>
        </entities>
      </sentence>
      <sentence id="s200" text="A closer look at figures 10(a) and (b) indicates changes in the positive and negative surface charge distribution during two consecutive discharge breakdowns .">
        <entities>
          <entity id="e924" type="G#PhysicalEffect" text="positive and negative surface charge distribution" start="12" end="18" orig_id="537"/>
          <entity id="e925" type="G#PhysicalEffect" text="surface charge distribution" start="15" end="18" orig_id="301"/>
          <entity id="e926" type="G#PhysicalEffect" text="breakdowns" start="22" end="23" orig_id="48"/>
        </entities>
      </sentence>
      <sentence id="s201" text="These changes result from surface discharges on both dielectrics just after the breakdown in the volume .">
        <entities>
          <entity id="e927" type="G#DischargeRegime" text="surface discharges" start="4" end="6" orig_id="43"/>
          <entity id="e928" type="G#PhysicalEffect" text="breakdown in" start="12" end="14" orig_id="538"/>
          <entity id="e929" type="G#PhysicalQuantity" text="volume" start="15" end="16" orig_id="19"/>
        </entities>
      </sentence>
      <sentence id="s202" text="Figure 11 shows the change in the surface charge density ∆σ cat = σ(t 2 ) − σ(t 1 ) on the cathodic di electric (b) and ∆σ an = σ(t 4 ) − σ(t 3 ) on the anodic di electric (c) in between the times t 2 and t 1 , and t 4 and t 3 , during the respective post-phase highlighted in (a) .">
        <entities>
          <entity id="e930" type="G#PhysicalQuantity" text="surface charge density" start="7" end="10" orig_id="232"/>
        </entities>
      </sentence>
      <sentence id="s203" text="On the cathodic dielectric (b), ∆σ cat is negative in the center of the surface charge spot and positive in the surrounding ring .">
        <entities>
          <entity id="e931" type="G#ElectrodeConfiguration" text="cathodic dielectric" start="2" end="4" orig_id="295"/>
          <entity id="e932" type="G#PhysicalEffect" text="surface charge spot" start="14" end="17" orig_id="539"/>
        </entities>
      </sentence>
      <sentence id="s204" text="This indicates a charge transport in the outward direction and thus the annular propagation of the surface discharge in correlation with the ICCD camera images .">
        <entities>
          <entity id="e933" type="G#PhysicalEffect" text="charge transport" start="3" end="5" orig_id="540"/>
          <entity id="e934" type="G#PhysicalEffect" text="annular propagation" start="12" end="14" orig_id="541"/>
          <entity id="e935" type="G#DiagnosticDevice" text="iccd camera" start="22" end="24" orig_id="404"/>
          <entity id="e936" type="G#Experiment" text="iccd camera images" start="22" end="25" orig_id="405"/>
        </entities>
      </sentence>
      <sentence id="s205" text="In contrast, on the anodic dielectric, ∆σ an is, in general, negative over a large part of the electrode area, however, the change is maximal in the center of the surface charge spot .">
        <entities>
          <entity id="e937" type="G#ElectrodeConfiguration" text="anodic dielectric" start="4" end="6" orig_id="542"/>
          <entity id="e938" type="G#PhysicalEffect" text="surface charge spot" start="30" end="33" orig_id="539"/>
        </entities>
      </sentence>
      <sentence id="s206" text="The wide propagation is due to the much higher mobility of incident electrons compared to ions .">
        <entities>
          <entity id="e939" type="G#PhysicalQuantity" text="mobility of incident electrons" start="9" end="13" orig_id="534"/>
          <entity id="e940" type="G#Species" text="electrons" start="12" end="13" orig_id="294"/>
          <entity id="e941" type="G#Species" text="ions" start="15" end="16" orig_id="536"/>
        </entities>
      </sentence>
      <sentence id="s207" text="Besides, the accumulation in the far surrounding regions may result from electrons that are generated in volume segments beyond the discharge channels .">
        <entities>
          <entity id="e942" type="G#Species" text="electrons" start="11" end="12" orig_id="294"/>
          <entity id="e943" type="G#PhysicalQuantity" text="volume" start="16" end="17" orig_id="19"/>
          <entity id="e944" type="G#PlasmaProperties" text="discharge channels" start="20" end="22" orig_id="543"/>
        </entities>
      </sentence>
      <sentence id="s208" text="This is indicated by weak optical emission during the breakdown in figure 7 .">
        <entities>
          <entity id="e945" type="G#PhysicalEffect" text="optical emission" start="5" end="7" orig_id="417"/>
          <entity id="e946" type="G#PhysicalEffect" text="breakdown" start="9" end="10" orig_id="42"/>
        </entities>
      </sentence>
      <sentence id="s209" text="Single discharge filaments can be operated for hours at the same position in the present experiment .">
        <entities>
          <entity id="e947" type="G#DischargeRegime" text="discharge filaments" start="1" end="3" orig_id="286"/>
        </entities>
      </sentence>
      <sentence id="s210" text="Note that they are not fixed by the geometry of the discharge configuration, e.g .">
        <entities>
          <entity id="e948" type="G#ElectrodeConfiguration" text="geometry of the discharge configuration" start="8" end="13" orig_id="544"/>
          <entity id="e949" type="G#ElectrodeConfiguration" text="discharge configuration" start="11" end="13" orig_id="545"/>
        </entities>
      </sentence>
      <sentence id="s211" text="as done in [12,13,15,16] using semi-spherical electrodes .">
        <entities>
          <entity id="e950" type="G#ElectrodeConfiguration" text="semi spherical electrodes" start="5" end="7" orig_id="106"/>
        </entities>
      </sentence>
      <sentence id="s212" text="Consequently, a self-stabilization mechanism exists .">
        <entities>
          <entity id="e951" type="G#PhysicalEffect" text="self stabilization mechanism" start="2" end="4" orig_id="546"/>
        </entities>
      </sentence>
      <sentence id="s213" text="First, the focus is on the presence of long-living species that might survive in the volume during consecutive discharge breakdowns and favor the local re-ignition of the discharge, referred to as the volume memory effect .">
        <entities>
          <entity id="e952" type="G#Species" text="long living species" start="8" end="10" orig_id="547"/>
          <entity id="e953" type="G#PhysicalQuantity" text="volume" start="15" end="16" orig_id="19"/>
          <entity id="e954" type="G#PhysicalEffect" text="discharge breakdowns" start="18" end="20" orig_id="548"/>
          <entity id="e955" type="G#PhysicalEffect" text="breakdowns" start="19" end="20" orig_id="48"/>
          <entity id="e956" type="G#PhysicalEffect" text="volume memory effect" start="32" end="35" orig_id="549"/>
          <entity id="e957" type="G#PhysicalEffect" text="memory effect" start="33" end="35" orig_id="122"/>
        </entities>
      </sentence>
      <sentence id="s214" text="In general, possible candidates are ions in regions with low electric field strength and, especially, metastable states .">
        <entities>
          <entity id="e958" type="G#Species" text="ions" start="5" end="6" orig_id="536"/>
          <entity id="e959" type="G#PhysicalQuantity" text="electric field strength" start="10" end="13" orig_id="550"/>
          <entity id="e960" type="G#Species" text="metastable states" start="15" end="17" orig_id="317"/>
        </entities>
      </sentence>
      <sentence id="s215" text="However, the transit time of ions drifting through the 3 mm gas gap amounts to some microseconds .">
        <entities>
          <entity id="e961" type="G#PhysicalQuantity" text="transit time" start="2" end="4" orig_id="551"/>
          <entity id="e962" type="G#Species" text="ions" start="5" end="6" orig_id="536"/>
          <entity id="e963" type="G#Unit" text="mm" start="10" end="11" orig_id="7"/>
          <entity id="e964" type="G#ElectrodeConfiguration" text="gas gap" start="11" end="13" orig_id="131"/>
          <entity id="e965" type="G#Unit" text="microseconds" start="16" end="17" orig_id="552"/>
        </entities>
      </sentence>
      <sentence id="s216" text="Note that the gap voltage drop is not as large during the breakdown (see the following section) .">
        <entities>
          <entity id="e966" type="G#PhysicalQuantity" text="gap voltage" start="3" end="5" orig_id="35"/>
          <entity id="e967" type="G#PhysicalEffect" text="gap voltage drop" start="3" end="6" orig_id="553"/>
          <entity id="e968" type="G#PhysicalEffect" text="breakdown" start="12" end="13" orig_id="42"/>
        </entities>
      </sentence>
      <sentence id="s217" text="Moreover, due to the Penning ionization, the effective lifetime of He metastable states decreases to the sub-microsecond time scale in the presence of small nitrogen admixtures in the percentage range .">
        <entities>
          <entity id="e969" type="G#PhysicalEffect" text="penning ionization" start="4" end="6" orig_id="472"/>
          <entity id="e970" type="G#PhysicalQuantity" text="effective lifetime" start="7" end="9" orig_id="384"/>
          <entity id="e971" type="G#PhysicalQuantity" text="lifetime" start="8" end="9" orig_id="385"/>
          <entity id="e972" type="G#Species" text="he metastable states" start="10" end="13" orig_id="316"/>
          <entity id="e973" type="G#Species" text="metastable states" start="11" end="13" orig_id="317"/>
          <entity id="e974" type="G#Unit" text="sub microsecond" start="16" end="17" orig_id="554"/>
          <entity id="e975" type="G#PhysicalQuantity" text="time scale" start="17" end="19" orig_id="50"/>
          <entity id="e976" type="G#Species" text="nitrogen" start="24" end="25" orig_id="22"/>
          <entity id="e977" type="G#PlasmaMedium" text="nitrogen admixtures" start="24" end="26" orig_id="555"/>
        </entities>
      </sentence>
      <sentence id="s218" text="The remaining candidate that might provide a volume memory effect is the metastable N 2 (A 3 Σ + u ) state .">
        <entities>
          <entity id="e978" type="G#PhysicalEffect" text="volume memory effect" start="7" end="10" orig_id="549"/>
          <entity id="e979" type="G#PhysicalEffect" text="memory effect" start="8" end="10" orig_id="122"/>
        </entities>
      </sentence>
      <sentence id="s219" text="In figure 12, the feeding voltage U ext (t), average gap voltage U gap (t) and discharge current I dis (t) as well as the spatio-temporal evolution of the N 2 second positive system (SPS) emission at 337.1 nm are plotted for one half-cycle .">
        <entities>
          <entity id="e980" type="G#PhysicalQuantity" text="feeding voltage" start="4" end="6" orig_id="556"/>
          <entity id="e981" type="G#PhysicalQuantity" text="gap voltage" start="10" end="12" orig_id="35"/>
          <entity id="e982" type="G#PhysicalQuantity" text="discharge current" start="16" end="18" orig_id="204"/>
          <entity id="e983" type="G#PlasmaProperties" text="spatio temporal evolution" start="25" end="27" orig_id="557"/>
          <entity id="e984" type="G#Species" text="n 2" start="29" end="31" orig_id="281"/>
          <entity id="e985" type="G#Species" text="n 2 second positive system" start="29" end="34" orig_id="558"/>
          <entity id="e986" type="G#Species" text="second positive system" start="31" end="34" orig_id="559"/>
          <entity id="e987" type="G#Species" text="sps" start="34" end="35" orig_id="560"/>
          <entity id="e988" type="G#PhysicalEffect" text="emission" start="35" end="36" orig_id="450"/>
        </entities>
      </sentence>
      <sentence id="s220" text="Foremost, the excited state N 2 (C 3 Π u ) resulting in the SPS can be populated by electron-impact excitation from the ground state [12], or by the pooling reaction involving metastable states, with rate coefficient k P ≈ 3(1) × 10 −10 cm 3 s −1 averaged over the values stated in [43,44] .">
        <entities>
          <entity id="e989" type="G#Species" text="excited state n 2 c 3 π u" start="2" end="10" orig_id="561"/>
          <entity id="e990" type="G#Species" text="n 2 c 3 π u" start="4" end="10" orig_id="562"/>
          <entity id="e991" type="G#Species" text="sps" start="14" end="15" orig_id="563"/>
          <entity id="e992" type="G#PhysicalEffect" text="electron impact excitation" start="19" end="21" orig_id="478"/>
          <entity id="e993" type="G#PhysicalEffect" text="excitation" start="20" end="21" orig_id="564"/>
          <entity id="e994" type="G#Species" text="ground state" start="23" end="25" orig_id="565"/>
          <entity id="e995" type="G#PhysicalEffect" text="pooling reaction" start="29" end="31" orig_id="566"/>
          <entity id="e996" type="G#Species" text="metastable states" start="32" end="34" orig_id="567"/>
          <entity id="e997" type="G#PhysicalQuantity" text="rate coefficient" start="35" end="37" orig_id="473"/>
        </entities>
      </sentence>
      <sentence id="s221" text="Note that other populating channels, including highly excited states, might be relevant too [45] .">
        <entities>
          <entity id="e998" type="G#Species" text="excited states" start="7" end="9" orig_id="568"/>
        </entities>
      </sentence>
      <sentence id="s222" text="Most notable in figure 12 is the long-lasting N 2 SPS emission during the post-phase .">
        <entities>
          <entity id="e999" type="G#Species" text="n 2 sps" start="8" end="11" orig_id="569"/>
          <entity id="e1000" type="G#PhysicalQuantity" text="n 2 sps emission" start="8" end="12" orig_id="570"/>
          <entity id="e1001" type="G#PhysicalEffect" text="emission" start="11" end="12" orig_id="450"/>
          <entity id="e1002" type="G#DischargeRegime" text="post phase" start="14" end="15" orig_id="101"/>
        </entities>
      </sentence>
      <sentence id="s223" text="Especially in front of the anodic dielectric, the SPS emission is detected until the prephase of the following discharge breakdown and hence, after the change in feeding voltage polarity, at the new negatively charged cathodic dielectric .">
        <entities>
          <entity id="e1003" type="G#ElectrodeConfiguration" text="anodic dielectric" start="5" end="7" orig_id="542"/>
          <entity id="e1004" type="G#Species" text="sps" start="8" end="9" orig_id="563"/>
          <entity id="e1005" type="G#DischargeRegime" text="prephase" start="14" end="15" orig_id="571"/>
          <entity id="e1006" type="G#PhysicalEffect" text="discharge breakdown" start="18" end="20" orig_id="572"/>
          <entity id="e1007" type="G#PowerSupply" text="feeding voltage" start="26" end="28" orig_id="27"/>
          <entity id="e1008" type="G#PhysicalQuantity" text="polarity" start="28" end="29" orig_id="573"/>
          <entity id="e1009" type="G#ElectrodeConfiguration" text="negatively charged cathodic dielectric" start="32" end="36" orig_id="574"/>
          <entity id="e1010" type="G#ElectrodeConfiguration" text="cathodic dielectric" start="34" end="36" orig_id="295"/>
        </entities>
      </sentence>
      <sentence id="s224" text="If the pooling reaction ( 9) is the dominant excitation channel during the discharge post-phase, the SPS emission will indicate the presence of metastable N 2 (A 3 Σ + u ) states .">
        <entities>
          <entity id="e1011" type="G#PhysicalEffect" text="pooling reaction" start="2" end="4" orig_id="566"/>
          <entity id="e1012" type="G#Species" text="sps" start="16" end="17" orig_id="563"/>
          <entity id="e1013" type="G#Species" text="metastable" start="23" end="24" orig_id="575"/>
          <entity id="e1014" type="G#Species" text="metastable n 2 a 3 σ u states" start="23" end="33" orig_id="576"/>
          <entity id="e1015" type="G#Species" text="n 2 a 3 σ" start="24" end="29" orig_id="577"/>
        </entities>
      </sentence>
      <sentence id="s225" text="This might favor the local pre-ionization by secondary electron emission [33], and thereby the self-stabilization of the discharge filament .">
        <entities>
          <entity id="e1016" type="G#PhysicalEffect" text="pre ionization" start="5" end="6" orig_id="312"/>
          <entity id="e1017" type="G#PhysicalEffect" text="secondary electron emission" start="7" end="10" orig_id="133"/>
          <entity id="e1018" type="G#PhysicalEffect" text="self stabilization of the discharge filament" start="14" end="19" orig_id="153"/>
          <entity id="e1019" type="G#DischargeRegime" text="discharge filament" start="17" end="19" orig_id="0"/>
        </entities>
      </sentence>
      <sentence id="s226" text="In order to prove the impact of metastable states on the discharge stability, oxygen was added to the He/N 2 mixture and the time between the two consecutive discharge breakdowns was varied by changing the operating frequency .">
        <entities>
          <entity id="e1020" type="G#Species" text="metastable states" start="7" end="9" orig_id="317"/>
          <entity id="e1021" type="G#PlasmaProperties" text="discharge stability" start="11" end="13" orig_id="578"/>
          <entity id="e1022" type="G#Species" text="oxygen" start="13" end="14" orig_id="184"/>
          <entity id="e1023" type="G#Species" text="he n 2" start="18" end="20" orig_id="270"/>
          <entity id="e1024" type="G#PlasmaMedium" text="he n 2 mixture" start="18" end="21" orig_id="579"/>
          <entity id="e1025" type="G#PhysicalEffect" text="breakdowns" start="29" end="30" orig_id="48"/>
          <entity id="e1026" type="G#PowerSupply" text="operating frequency" start="35" end="37" orig_id="580"/>
          <entity id="e1027" type="G#PowerSupply" text="frequency" start="36" end="37" orig_id="11"/>
        </entities>
      </sentence>
      <sentence id="s227" text="Surprisingly, there is no remarkable effect of oxygen admixtures on the critical discharge off-time causing the transition to arbitrarily distributed MDs .">
        <entities>
          <entity id="e1028" type="G#Species" text="oxygen" start="7" end="8" orig_id="184"/>
          <entity id="e1029" type="G#PlasmaMedium" text="oxygen admixtures" start="7" end="9" orig_id="581"/>
          <entity id="e1030" type="G#PhysicalEffect" text="transition" start="16" end="17" orig_id="342"/>
          <entity id="e1031" type="G#PlasmaSource" text="mds" start="20" end="21" orig_id="52"/>
        </entities>
      </sentence>
      <sentence id="s228" text="Without oxygen additives, the effective lifetime metastable states is strongly determined by the pooling reaction (9) and the quenching by nitrogen with rate coefficient k N2 = 3 × 10 −16 cm 3 s −1 [46] .">
        <entities>
          <entity id="e1032" type="G#Species" text="oxygen" start="1" end="2" orig_id="184"/>
          <entity id="e1033" type="G#PlasmaMedium" text="oxygen additives" start="1" end="3" orig_id="582"/>
          <entity id="e1034" type="G#PhysicalQuantity" text="effective lifetime" start="4" end="6" orig_id="384"/>
          <entity id="e1035" type="G#PhysicalQuantity" text="lifetime" start="5" end="6" orig_id="385"/>
          <entity id="e1036" type="G#Species" text="metastable states" start="6" end="8" orig_id="317"/>
          <entity id="e1037" type="G#PhysicalEffect" text="quenching" start="18" end="19" orig_id="583"/>
          <entity id="e1038" type="G#Species" text="nitrogen" start="20" end="21" orig_id="22"/>
          <entity id="e1039" type="G#PhysicalQuantity" text="rate coefficient" start="22" end="24" orig_id="473"/>
          <entity id="e1040" type="G#Unit" text="cm 3" start="31" end="33" orig_id="474"/>
        </entities>
      </sentence>
      <sentence id="s229" text="However, in the presence of oxygen, τ N2(A) is significantly influenced by the effective quenching reaction with rate coefficient k O2 ≈ 3(1) × 10 −12 cm 3 s −1 [44] .">
        <entities>
          <entity id="e1041" type="G#Species" text="oxygen" start="5" end="6" orig_id="584"/>
          <entity id="e1042" type="G#PhysicalEffect" text="effective quenching" start="13" end="15" orig_id="585"/>
          <entity id="e1043" type="G#PhysicalQuantity" text="rate coefficient" start="17" end="19" orig_id="473"/>
          <entity id="e1044" type="G#Unit" text="cm 3" start="26" end="28" orig_id="474"/>
        </entities>
      </sentence>
      <sentence id="s230" text="The calculated effective lifetime τ N2(A) as a function of the O 2 admixture is also plotted in figure 13, for the partial N 2 density n N2 ≈ 2 × 10 18 cm −3 and for the maximum N 2 (A 3 Σ + u ) density estimated to be in the order of 10 14 cm −3 [33] .">
        <entities>
          <entity id="e1045" type="G#PhysicalQuantity" text="effective lifetime" start="2" end="4" orig_id="384"/>
          <entity id="e1046" type="G#PhysicalQuantity" text="lifetime" start="3" end="4" orig_id="385"/>
          <entity id="e1047" type="G#Species" text="o 2" start="11" end="13" orig_id="586"/>
          <entity id="e1048" type="G#PlasmaMedium" text="o 2 admixture" start="11" end="14" orig_id="587"/>
          <entity id="e1049" type="G#Species" text="n 2" start="23" end="25" orig_id="281"/>
          <entity id="e1050" type="G#PhysicalQuantity" text="n 2 density" start="23" end="26" orig_id="588"/>
          <entity id="e1051" type="G#Unit" text="cm" start="33" end="34" orig_id="477"/>
          <entity id="e1052" type="G#Species" text="n 2 a 3 σ u" start="39" end="46" orig_id="589"/>
          <entity id="e1053" type="G#PhysicalQuantity" text="density" start="47" end="48" orig_id="590"/>
        </entities>
      </sentence>
      <sentence id="s231" text="Indeed, the starting value τ N2(A) ≈ 3 ms without oxygen additives is uncertain, not least because the quenching by an unknown content of nitrogen atoms is not considered .">
        <entities>
          <entity id="e1054" type="G#Unit" text="ms" start="8" end="9" orig_id="591"/>
          <entity id="e1055" type="G#PlasmaMedium" text="oxygen additives" start="10" end="12" orig_id="592"/>
          <entity id="e1056" type="G#PhysicalEffect" text="quenching" start="18" end="19" orig_id="583"/>
          <entity id="e1057" type="G#Species" text="nitrogen atoms" start="24" end="26" orig_id="593"/>
        </entities>
      </sentence>
      <sentence id="s232" text="Note that 3 ms is more than ten times longer than the half-cycle of the feeding voltage .">
        <entities>
          <entity id="e1058" type="G#Unit" text="ms" start="3" end="4" orig_id="591"/>
          <entity id="e1059" type="G#PowerSupply" text="half cycle of the feeding voltage" start="12" end="17" orig_id="594"/>
          <entity id="e1060" type="G#PowerSupply" text="feeding voltage" start="15" end="17" orig_id="27"/>
        </entities>
      </sentence>
      <sentence id="s233" text="But, even for small O 2 admixtures in the order of 0.1 vol.%, reaction (10) clearly dominates where τ N2(A) is reduced by orders of magnitude .">
        <entities>
          <entity id="e1061" type="G#Species" text="o 2" start="4" end="6" orig_id="586"/>
          <entity id="e1062" type="G#PlasmaMedium" text="o 2 admixtures" start="4" end="7" orig_id="595"/>
        </entities>
      </sentence>
      <sentence id="s234" text="This is in contrast to the critical duration between two consecutive discharge breakdowns, determining the stability limit, which keeps approximately constant with the rising oxygen admixture .">
        <entities>
          <entity id="e1063" type="G#PhysicalQuantity" text="duration" start="7" end="8" orig_id="285"/>
          <entity id="e1064" type="G#PhysicalEffect" text="breakdowns" start="12" end="13" orig_id="596"/>
          <entity id="e1065" type="G#Species" text="oxygen" start="24" end="25" orig_id="184"/>
          <entity id="e1066" type="G#PlasmaMedium" text="oxygen admixture" start="24" end="26" orig_id="597"/>
        </entities>
      </sentence>
      <sentence id="s235" text="In conclusion, the volume memory effect by N 2 (A 3 Σ + u ) metastable states is not crucial for the self-stabilization of discharge filaments .">
        <entities>
          <entity id="e1067" type="G#PhysicalEffect" text="volume memory effect" start="3" end="6" orig_id="549"/>
          <entity id="e1068" type="G#PhysicalEffect" text="memory effect" start="4" end="6" orig_id="122"/>
          <entity id="e1069" type="G#Species" text="n 2 a 3 σ u" start="7" end="14" orig_id="589"/>
          <entity id="e1070" type="G#Species" text="metastable states" start="15" end="17" orig_id="317"/>
          <entity id="e1071" type="G#PhysicalEffect" text="self stabilization of discharge filaments" start="22" end="26" orig_id="302"/>
          <entity id="e1072" type="G#DischargeRegime" text="filaments" start="25" end="26" orig_id="29"/>
        </entities>
      </sentence>
      <sentence id="s236" text="Taking another closer look at the N 2 SPS band emission in figure 12 reveals an exponential increase towards the anode during the post-phase, as well as an abrupt cut-off when the feeding voltage changes its polarity just before the following discharge breakdown .">
        <entities>
          <entity id="e1073" type="G#PhysicalQuantity" text="n 2 sps band emission" start="6" end="11" orig_id="598"/>
          <entity id="e1074" type="G#PowerSupply" text="feeding voltage" start="32" end="34" orig_id="27"/>
          <entity id="e1075" type="G#PhysicalQuantity" text="polarity" start="36" end="37" orig_id="229"/>
          <entity id="e1076" type="G#PhysicalEffect" text="discharge breakdown" start="41" end="43" orig_id="572"/>
        </entities>
      </sentence>
      <sentence id="s237" text="This may indicate the survival of residual electrons in the volume in regions with low electric field .">
        <entities>
          <entity id="e1077" type="G#Species" text="residual electrons" start="6" end="8" orig_id="599"/>
          <entity id="e1078" type="G#PhysicalQuantity" text="electric field" start="15" end="17" orig_id="95"/>
        </entities>
      </sentence>
      <sentence id="s238" text="The critical discharge off-time on the sub-second scale marking the transition to arbitrarily distributed MDs in figure 13 matches with the lifetime of a major surface charge population, as experimentally shown in [28,32] .">
        <entities>
          <entity id="e1079" type="G#Unit" text="sub second" start="6" end="7" orig_id="600"/>
          <entity id="e1080" type="G#PhysicalEffect" text="transition" start="10" end="11" orig_id="342"/>
          <entity id="e1081" type="G#PlasmaSource" text="mds" start="14" end="15" orig_id="52"/>
          <entity id="e1082" type="G#PhysicalQuantity" text="lifetime" start="21" end="22" orig_id="385"/>
          <entity id="e1083" type="G#PhysicalQuantity" text="surface charge population" start="25" end="28" orig_id="601"/>
        </entities>
      </sentence>
      <sentence id="s239" text="Hence, the residual surface charge is the most probable candidate providing the self-stabilization of discharge filaments .">
        <entities>
          <entity id="e1084" type="G#PhysicalQuantity" text="residual surface charge" start="2" end="5" orig_id="413"/>
          <entity id="e1085" type="G#PhysicalEffect" text="self stabilization of discharge filaments" start="12" end="16" orig_id="302"/>
          <entity id="e1086" type="G#DischargeRegime" text="filaments" start="15" end="16" orig_id="29"/>
        </entities>
      </sentence>
      <sentence id="s240" text="As discussed in section 3, a reduction of the feeding voltage amplitude from 3.2 kV to 2.2 kV causes the transition from arbitrarily distributed MDs to the rotating and stable filament pattern, ending up with a single self-stabilized discharge filament .">
        <entities>
          <entity id="e1087" type="G#PowerSupply" text="feeding voltage" start="9" end="11" orig_id="27"/>
          <entity id="e1088" type="G#PowerSupply" text="feeding voltage amplitude" start="9" end="12" orig_id="272"/>
          <entity id="e1089" type="G#PlasmaSource" text="mds" start="24" end="25" orig_id="52"/>
          <entity id="e1090" type="G#DischargeRegime" text="single self stabilized discharge filament" start="36" end="40" orig_id="141"/>
        </entities>
      </sentence>
      <sentence id="s241" text="This is illustrated in figure 14, based on the two-dimensional distribution of positive and negative surface charges for the filamentary BD in He with 10 vol.% N 2 admixture at a total pressure of 1 bar .">
        <entities>
          <entity id="e1091" type="G#PhysicalQuantity" text="positive and negative surface charges" start="12" end="17" orig_id="126"/>
          <entity id="e1092" type="G#DischargeRegime" text="filamentary" start="19" end="20" orig_id="245"/>
          <entity id="e1093" type="G#PlasmaSource" text="bd" start="20" end="21" orig_id="493"/>
          <entity id="e1094" type="G#Species" text="he" start="22" end="23" orig_id="278"/>
          <entity id="e1095" type="G#PlasmaMedium" text="10 vol n 2 admixture" start="24" end="29" orig_id="279"/>
          <entity id="e1096" type="G#Unit" text="vol" start="25" end="26" orig_id="280"/>
          <entity id="e1097" type="G#Species" text="n 2" start="26" end="28" orig_id="281"/>
          <entity id="e1098" type="G#PhysicalQuantity" text="pressure" start="32" end="33" orig_id="26"/>
          <entity id="e1099" type="G#Unit" text="bar" start="35" end="36" orig_id="185"/>
        </entities>
      </sentence>
      <sentence id="s242" text="Each image is averaged over several feeding voltage cycles .">
        <entities>
          <entity id="e1100" type="G#PowerSupply" text="feeding voltage" start="6" end="8" orig_id="27"/>
          <entity id="e1101" type="G#PowerSupply" text="feeding voltage cycles" start="6" end="9" orig_id="602"/>
        </entities>
      </sentence>
      <sentence id="s243" text="That is why the arbitrary re-ignition of MDs (3.2 kV) and the rotating re-ignition of patterned discharge filaments (3.0 kV) are indicated by overlapped spots and a ring, respectively .">
        <entities>
          <entity id="e1102" type="G#DischargeRegime" text="rotating re ignition of patterned discharge filaments" start="12" end="18" orig_id="603"/>
        </entities>
      </sentence>
      <sentence id="s244" text="In between the hexagonal filament pattern (2.8 kV) and the single filament (2.2 kV), the arrangements of four, three and two filaments can be observed .">
        <entities>
          <entity id="e1103" type="G#ElectrodeConfiguration" text="single filament" start="10" end="12" orig_id="604"/>
          <entity id="e1104" type="G#DischargeRegime" text="filaments" start="21" end="22" orig_id="29"/>
          <entity id="e1105" type="G#Experiment" text="observed" start="24" end="25" orig_id="349"/>
        </entities>
      </sentence>
      <sentence id="s245" text="The difference in feeding voltage amplitude of 1 kV for the initial discharge ignition in the MD regime and the operation of a single discharge filament must be compensated by the additional electric field at the positions of the surface charge spots .">
        <entities>
          <entity id="e1106" type="G#PowerSupply" text="feeding voltage amplitude" start="3" end="6" orig_id="272"/>
          <entity id="e1107" type="G#PhysicalQuantity" text="voltage amplitude" start="4" end="6" orig_id="297"/>
          <entity id="e1108" type="G#Unit" text="kv" start="8" end="9" orig_id="298"/>
          <entity id="e1109" type="G#PhysicalEffect" text="discharge ignition" start="12" end="14" orig_id="605"/>
          <entity id="e1110" type="G#DischargeRegime" text="md regime" start="16" end="18" orig_id="334"/>
          <entity id="e1111" type="G#DischargeRegime" text="single discharge filament" start="23" end="26" orig_id="296"/>
          <entity id="e1112" type="G#PhysicalQuantity" text="electric field" start="32" end="34" orig_id="95"/>
          <entity id="e1113" type="G#PhysicalQuantity" text="surface charge" start="39" end="41" orig_id="143"/>
          <entity id="e1114" type="G#PhysicalEffect" text="surface charge spots" start="39" end="42" orig_id="606"/>
        </entities>
      </sentence>
      <sentence id="s246" text="This is referred to as the surface memory effect .">
        <entities>
          <entity id="e1115" type="G#PhysicalEffect" text="surface memory effect" start="6" end="9" orig_id="607"/>
          <entity id="e1116" type="G#PhysicalEffect" text="memory effect" start="7" end="9" orig_id="122"/>
        </entities>
      </sentence>
      <sentence id="s247" text="For quantitative evidence, the spatio-temporally resolved gap voltage U gap (x, y, t) was recalculated with equation (5) .">
        <entities>
          <entity id="e1117" type="G#Experiment" text="spatio temporally resolved gap voltage" start="4" end="8" orig_id="241"/>
          <entity id="e1118" type="G#PhysicalQuantity" text="gap voltage" start="6" end="8" orig_id="35"/>
        </entities>
      </sentence>
      <sentence id="s248" text="Figure 15 illustrates the 2D gap voltage distribution just before the breakdown of a single self-stabilized discharge filament in (a) and the gap voltage dynamics in the center of the surface charge spot and at the edges in (b) .">
        <entities>
          <entity id="e1119" type="G#PhysicalQuantity" text="2d gap voltage" start="4" end="7" orig_id="608"/>
          <entity id="e1120" type="G#PhysicalQuantity" text="2d gap voltage distribution" start="4" end="8" orig_id="609"/>
          <entity id="e1121" type="G#PhysicalQuantity" text="gap voltage" start="5" end="7" orig_id="35"/>
          <entity id="e1122" type="G#PhysicalEffect" text="breakdown" start="11" end="12" orig_id="42"/>
          <entity id="e1123" type="G#DischargeRegime" text="single self stabilized discharge filament" start="14" end="18" orig_id="141"/>
          <entity id="e1124" type="G#PhysicalQuantity" text="surface charge" start="30" end="32" orig_id="143"/>
        </entities>
      </sentence>
      <sentence id="s249" text="The discharge current pulse I dis (t) indicates the breakdown phase .">
        <entities>
          <entity id="e1125" type="G#PhysicalQuantity" text="discharge current" start="1" end="3" orig_id="204"/>
          <entity id="e1126" type="G#PhysicalQuantity" text="discharge current pulse" start="1" end="4" orig_id="610"/>
          <entity id="e1127" type="G#DischargeRegime" text="breakdown phase" start="9" end="11" orig_id="611"/>
        </entities>
      </sentence>
      <sentence id="s250" text="Both the externally applied voltage U ext (t) and the surface charge density σ sur (x, y, t) determine the dynamics of the gap voltage .">
        <entities>
          <entity id="e1128" type="G#PowerSupply" text="externally applied voltage" start="2" end="5" orig_id="612"/>
          <entity id="e1129" type="G#PhysicalQuantity" text="applied voltage" start="3" end="5" orig_id="378"/>
          <entity id="e1130" type="G#PhysicalQuantity" text="surface charge density" start="10" end="13" orig_id="232"/>
          <entity id="e1131" type="G#PhysicalQuantity" text="gap voltage" start="23" end="25" orig_id="35"/>
        </entities>
      </sentence>
      <sentence id="s251" text="As visible in (a), the surface charge spot significantly contributes to the spatial gap voltage distribution .">
        <entities>
          <entity id="e1132" type="G#PhysicalEffect" text="surface charge spot" start="5" end="8" orig_id="539"/>
          <entity id="e1133" type="G#PhysicalQuantity" text="gap voltage" start="13" end="15" orig_id="35"/>
          <entity id="e1134" type="G#PhysicalQuantity" text="gap voltage distribution" start="13" end="16" orig_id="613"/>
        </entities>
      </sentence>
      <sentence id="s252" text="The required breakdown voltage of about 2.7 kV is only reached at the center of a surface charge spot, whereas, in the surrounding regions where no surface charges were accumulated, the gap voltage is close to 1.6 kV .">
        <entities>
          <entity id="e1135" type="G#PhysicalQuantity" text="breakdown voltage" start="2" end="4" orig_id="614"/>
          <entity id="e1136" type="G#PhysicalQuantity" text="surface charge" start="16" end="18" orig_id="143"/>
          <entity id="e1137" type="G#PhysicalQuantity" text="surface charges" start="26" end="28" orig_id="114"/>
          <entity id="e1138" type="G#PhysicalQuantity" text="gap voltage" start="31" end="33" orig_id="35"/>
        </entities>
      </sentence>
      <sentence id="s253" text="This value equals the partial feeding voltage drop across the gas gap .">
        <entities>
          <entity id="e1139" type="G#PhysicalQuantity" text="feeding voltage" start="5" end="7" orig_id="556"/>
          <entity id="e1140" type="G#ElectrodeConfiguration" text="gas gap" start="10" end="12" orig_id="131"/>
        </entities>
      </sentence>
      <sentence id="s254" text="Hence, the difference in the feeding voltage of about 1 kV between the operation of the single self-stabilized discharge filament and the MD regime is compensated by the surface charge exclusively at a well-localized position .">
        <entities>
          <entity id="e1141" type="G#PowerSupply" text="feeding voltage" start="5" end="7" orig_id="27"/>
          <entity id="e1142" type="G#Unit" text="kv" start="10" end="11" orig_id="298"/>
          <entity id="e1143" type="G#DischargeRegime" text="single self stabilized discharge filament" start="16" end="20" orig_id="141"/>
          <entity id="e1144" type="G#DischargeRegime" text="md regime" start="22" end="24" orig_id="334"/>
          <entity id="e1145" type="G#PhysicalQuantity" text="surface charge" start="28" end="30" orig_id="143"/>
        </entities>
      </sentence>
      <sentence id="s255" text="As the partial feeding voltage drop never reaches the required breakdown voltage at any time, no further discharge events take place .">
        <entities>
          <entity id="e1146" type="G#PhysicalQuantity" text="feeding voltage" start="3" end="5" orig_id="556"/>
          <entity id="e1147" type="G#PhysicalEffect" text="feeding voltage drop" start="3" end="6" orig_id="615"/>
          <entity id="e1148" type="G#PhysicalQuantity" text="breakdown voltage" start="10" end="12" orig_id="614"/>
          <entity id="e1149" type="G#PhysicalQuantity" text="time" start="14" end="15" orig_id="492"/>
        </entities>
      </sentence>
      <sentence id="s256" text="Thus, the local electric field enhancement by surface charges causes the periodic re-ignition of the discharge filament at the same position .">
        <entities>
          <entity id="e1150" type="G#PhysicalEffect" text="local electric field enhancement" start="2" end="6" orig_id="616"/>
          <entity id="e1151" type="G#PhysicalEffect" text="electric field enhancement" start="3" end="6" orig_id="617"/>
          <entity id="e1152" type="G#PhysicalQuantity" text="surface charges" start="7" end="9" orig_id="114"/>
          <entity id="e1153" type="G#PhysicalEffect" text="re ignition" start="12" end="13" orig_id="618"/>
          <entity id="e1154" type="G#PhysicalEffect" text="re ignition of the discharge filament" start="12" end="17" orig_id="619"/>
        </entities>
      </sentence>
      <sentence id="s257" text="But, when the feeding voltage is increased again, the surface charge spots at the footprints of several discharge filaments are not well-separated anymore, and the breakdown voltage is reached at later times in between the positions of the initial discharge filaments too .">
        <entities>
          <entity id="e1155" type="G#PowerSupply" text="feeding voltage" start="3" end="5" orig_id="27"/>
          <entity id="e1156" type="G#PhysicalEffect" text="surface charge spots" start="9" end="12" orig_id="606"/>
          <entity id="e1157" type="G#DischargeRegime" text="discharge filaments" start="17" end="19" orig_id="286"/>
          <entity id="e1158" type="G#PhysicalQuantity" text="breakdown voltage" start="25" end="27" orig_id="614"/>
          <entity id="e1159" type="G#PhysicalQuantity" text="times" start="31" end="32" orig_id="620"/>
        </entities>
      </sentence>
      <sentence id="s258" text="As a result, the conservation of the lateral discharge structure gets lost .">
        <entities>
          <entity id="e1160" type="G#PlasmaProperties" text="lateral discharge structure" start="7" end="10" orig_id="621"/>
        </entities>
      </sentence>
      <sentence id="s259" text="To summarize, the surface memory effect is the key mechanism behind the self-stabilization of discharge filaments in the plane-parallel electrode configuration .">
        <entities>
          <entity id="e1161" type="G#PhysicalEffect" text="surface memory effect" start="3" end="6" orig_id="607"/>
          <entity id="e1162" type="G#PhysicalEffect" text="memory effect" start="4" end="6" orig_id="122"/>
          <entity id="e1163" type="G#PhysicalEffect" text="self stabilization of discharge filaments" start="12" end="16" orig_id="302"/>
          <entity id="e1164" type="G#ElectrodeConfiguration" text="plane parallel electrode configuration" start="18" end="21" orig_id="5"/>
          <entity id="e1165" type="G#ElectrodeConfiguration" text="electrode configuration" start="19" end="21" orig_id="142"/>
        </entities>
      </sentence>
      <sentence id="s260" text="The presented paper reports on the formation of a single self-stabilized discharge filament in a plane-parallel barrier discharge configuration .">
        <entities>
          <entity id="e1166" type="G#PhysicalEffect" text="formation of a single self stabilized discharge filament" start="6" end="13" orig_id="622"/>
          <entity id="e1167" type="G#DischargeRegime" text="single self stabilized discharge filament" start="9" end="13" orig_id="141"/>
          <entity id="e1168" type="G#PhysicalEffect" text="self stabilized discharge filament" start="10" end="13" orig_id="623"/>
          <entity id="e1169" type="G#ElectrodeConfiguration" text="plane parallel barrier discharge configuration" start="15" end="19" orig_id="624"/>
          <entity id="e1170" type="G#ElectrodeConfiguration" text="barrier discharge configuration" start="16" end="19" orig_id="625"/>
        </entities>
      </sentence>
      <sentence id="s261" text="The discharge was operated by square-wave feeding voltage in He/N 2 mixtures at variable pressures .">
        <entities>
          <entity id="e1171" type="G#PowerSupply" text="square wave feeding voltage" start="5" end="8" orig_id="10"/>
          <entity id="e1172" type="G#PhysicalQuantity" text="feeding voltage" start="6" end="8" orig_id="556"/>
          <entity id="e1173" type="G#Species" text="he n 2" start="9" end="11" orig_id="270"/>
          <entity id="e1174" type="G#PhysicalQuantity" text="pressures" start="14" end="15" orig_id="60"/>
        </entities>
      </sentence>
      <sentence id="s262" text="For the first time, the combined application of optical diagnostics and surface charge diagnostics on a filamentary breakdown allowed the correlation between the discharge development in the volume and on the dielectric surfaces .">
        <entities>
          <entity id="e1175" type="G#Experiment" text="optical diagnostics" start="8" end="10" orig_id="102"/>
          <entity id="e1176" type="G#Experiment" text="surface charge diagnostics" start="11" end="14" orig_id="16"/>
          <entity id="e1177" type="G#DischargeRegime" text="filamentary" start="16" end="17" orig_id="245"/>
          <entity id="e1178" type="G#PhysicalEffect" text="filamentary breakdown" start="16" end="18" orig_id="129"/>
          <entity id="e1179" type="G#PlasmaProperties" text="discharge development" start="23" end="25" orig_id="18"/>
          <entity id="e1180" type="G#PhysicalQuantity" text="volume" start="27" end="28" orig_id="19"/>
          <entity id="e1181" type="G#ElectrodeConfiguration" text="dielectric surfaces" start="31" end="33" orig_id="20"/>
        </entities>
      </sentence>
      <sentence id="s263" text="The existence regimes of the self-stabilized discharge filaments were obtained by systematic variation of the N 2 admixture of maximal 50 vol.% to He, total pressure between 100 mbar and 1 bar and thus a feeding voltage amplitude between 0.3 kV and 3.5 kV .">
        <entities>
          <entity id="e1182" type="G#DischargeRegime" text="self stabilized discharge filaments" start="5" end="8" orig_id="28"/>
          <entity id="e1183" type="G#Species" text="n 2" start="15" end="17" orig_id="281"/>
          <entity id="e1184" type="G#PlasmaMedium" text="n 2 admixture" start="15" end="18" orig_id="282"/>
          <entity id="e1185" type="G#Unit" text="vol" start="21" end="22" orig_id="280"/>
          <entity id="e1186" type="G#PhysicalQuantity" text="total pressure" start="24" end="26" orig_id="25"/>
          <entity id="e1187" type="G#PhysicalQuantity" text="pressure" start="25" end="26" orig_id="26"/>
          <entity id="e1188" type="G#Unit" text="mbar" start="28" end="29" orig_id="175"/>
          <entity id="e1189" type="G#Unit" text="bar" start="31" end="32" orig_id="185"/>
          <entity id="e1190" type="G#PowerSupply" text="feeding voltage" start="35" end="37" orig_id="27"/>
          <entity id="e1191" type="G#Unit" text="kv" start="40" end="41" orig_id="298"/>
        </entities>
      </sentence>
      <sentence id="s264" text="In fact, a single self-stabilized discharge filament can be operated over a wide range of total pressure and He/N 2 mixture, with a required minimum N 2 admixture of about 0.2 vol.% .">
        <entities>
          <entity id="e1192" type="G#DischargeRegime" text="single self stabilized discharge filament" start="3" end="7" orig_id="141"/>
          <entity id="e1193" type="G#PhysicalQuantity" text="pressure" start="16" end="17" orig_id="26"/>
          <entity id="e1194" type="G#Species" text="he n 2" start="18" end="20" orig_id="270"/>
          <entity id="e1195" type="G#PlasmaMedium" text="he n 2 mixture" start="18" end="21" orig_id="325"/>
          <entity id="e1196" type="G#Species" text="n 2" start="25" end="27" orig_id="281"/>
          <entity id="e1197" type="G#PlasmaMedium" text="n 2 admixture" start="25" end="28" orig_id="282"/>
        </entities>
      </sentence>
      <sentence id="s265" text="This proves the independence of the self-stabilization mechanism from specific properties of the gas system .">
        <entities>
          <entity id="e1198" type="G#PhysicalEffect" text="self stabilization mechanism" start="6" end="8" orig_id="546"/>
          <entity id="e1199" type="G#PlasmaMedium" text="gas system" start="13" end="15" orig_id="341"/>
        </entities>
      </sentence>
      <sentence id="s266" text="In general, the stable discharge filament is obtained by a significant reduction of the feeding voltage amplitude after the initial ignition in the microdischarge regime .">
        <entities>
          <entity id="e1200" type="G#DischargeRegime" text="stable discharge filament" start="3" end="6" orig_id="626"/>
          <entity id="e1201" type="G#DischargeRegime" text="discharge filament" start="4" end="6" orig_id="0"/>
          <entity id="e1202" type="G#PowerSupply" text="feeding voltage" start="14" end="16" orig_id="27"/>
          <entity id="e1203" type="G#PowerSupply" text="feeding voltage amplitude" start="14" end="17" orig_id="272"/>
          <entity id="e1204" type="G#PhysicalEffect" text="ignition" start="20" end="21" orig_id="287"/>
          <entity id="e1205" type="G#DischargeRegime" text="microdischarge regime" start="23" end="25" orig_id="31"/>
        </entities>
      </sentence>
      <sentence id="s267" text="The voltage interval allowing the stable operation of discharge filaments increases with the rising total pressure and N 2 admixture to He, which is connected with an increase in the amount of the transported and subsequently deposited charge .">
        <entities>
          <entity id="e1206" type="G#DischargeRegime" text="discharge filaments" start="8" end="10" orig_id="286"/>
          <entity id="e1207" type="G#PhysicalQuantity" text="total pressure" start="14" end="16" orig_id="25"/>
          <entity id="e1208" type="G#PhysicalQuantity" text="pressure" start="15" end="16" orig_id="26"/>
          <entity id="e1209" type="G#Species" text="n 2" start="17" end="19" orig_id="281"/>
          <entity id="e1210" type="G#PlasmaMedium" text="n 2 admixture to he" start="17" end="22" orig_id="627"/>
          <entity id="e1211" type="G#Species" text="he" start="21" end="22" orig_id="333"/>
          <entity id="e1212" type="G#PhysicalQuantity" text="deposited charge" start="36" end="38" orig_id="367"/>
        </entities>
      </sentence>
      <sentence id="s268" text="This is the first indication of the self-stabilization of the discharge filament being caused by the local surface charge distribution .">
        <entities>
          <entity id="e1213" type="G#PhysicalEffect" text="self stabilization of the discharge filament" start="7" end="12" orig_id="153"/>
          <entity id="e1214" type="G#DischargeRegime" text="discharge filament" start="10" end="12" orig_id="0"/>
          <entity id="e1215" type="G#PhysicalEffect" text="surface charge distribution" start="17" end="20" orig_id="301"/>
        </entities>
      </sentence>
      <sentence id="s269" text="Indeed, residual surface charges on the dielectrics significantly contribute to the gap voltage distribution .">
        <entities>
          <entity id="e1216" type="G#PhysicalQuantity" text="residual surface charges" start="1" end="4" orig_id="113"/>
          <entity id="e1217" type="G#PhysicalQuantity" text="surface charges" start="2" end="4" orig_id="114"/>
          <entity id="e1218" type="G#ElectrodeMaterial" text="dielectrics" start="6" end="7" orig_id="128"/>
          <entity id="e1219" type="G#PhysicalQuantity" text="gap voltage" start="11" end="13" orig_id="35"/>
          <entity id="e1220" type="G#PhysicalQuantity" text="gap voltage distribution" start="11" end="14" orig_id="613"/>
        </entities>
      </sentence>
      <sentence id="s270" text="In the case of a single self-stabilized discharge filament, the required gap voltage of about 2.7 kV for the discharge breakdown is only reached at the center of the surface charge spot .">
        <entities>
          <entity id="e1221" type="G#DischargeRegime" text="single self stabilized discharge filament" start="5" end="9" orig_id="628"/>
          <entity id="e1222" type="G#PhysicalQuantity" text="gap voltage" start="11" end="13" orig_id="35"/>
          <entity id="e1223" type="G#PhysicalEffect" text="discharge breakdown" start="19" end="21" orig_id="572"/>
          <entity id="e1224" type="G#PhysicalQuantity" text="surface charge" start="29" end="31" orig_id="143"/>
        </entities>
      </sentence>
      <sentence id="s271" text="But, in the surrounding regions where no surface charges were accumulated, the gap voltage is more than 1 kV lower .">
        <entities>
          <entity id="e1225" type="G#PhysicalQuantity" text="surface charges" start="7" end="9" orig_id="114"/>
          <entity id="e1226" type="G#PhysicalQuantity" text="gap voltage" start="12" end="14" orig_id="35"/>
          <entity id="e1227" type="G#Unit" text="kv" start="18" end="19" orig_id="298"/>
        </entities>
      </sentence>
      <sentence id="s272" text="As long as the surface charge spots of several discharge filaments are wellseparated, the local enhancement of the electric field conserves the long-term stability of the lateral discharge structure .">
        <entities>
          <entity id="e1228" type="G#PhysicalEffect" text="surface charge spots" start="4" end="7" orig_id="606"/>
          <entity id="e1229" type="G#DischargeRegime" text="discharge filaments" start="9" end="11" orig_id="286"/>
          <entity id="e1230" type="G#PhysicalEffect" text="local enhancement of the electric field" start="14" end="20" orig_id="629"/>
          <entity id="e1231" type="G#PhysicalQuantity" text="electric field" start="18" end="20" orig_id="95"/>
          <entity id="e1232" type="G#PlasmaProperties" text="lateral discharge structure" start="26" end="29" orig_id="621"/>
        </entities>
      </sentence>
      <sentence id="s273" text="Vice versa, the enhancement of the voltage amplitude causes a transition to the rotating filament patterns and, finally, to the arbitrarily distributed MDs .">
        <entities>
          <entity id="e1233" type="G#PowerSupply" text="voltage amplitude" start="6" end="8" orig_id="30"/>
          <entity id="e1234" type="G#DischargeRegime" text="rotating filament patterns" start="13" end="16" orig_id="630"/>
          <entity id="e1235" type="G#PlasmaSource" text="mds" start="22" end="23" orig_id="52"/>
        </entities>
      </sentence>
      <sentence id="s274" text="The required breakdown voltage is then also reached in between the initial filament positions .">
        <entities>
          <entity id="e1236" type="G#PhysicalQuantity" text="breakdown voltage" start="2" end="4" orig_id="614"/>
        </entities>
      </sentence>
      <sentence id="s275" text="Contrary to the outstanding importance of the surface memory effect, the volume memory effect by N 2 (A 3 Σ + u ) metastable states is not crucial .">
        <entities>
          <entity id="e1237" type="G#PhysicalEffect" text="surface memory effect" start="7" end="10" orig_id="631"/>
          <entity id="e1238" type="G#PhysicalEffect" text="memory effect" start="8" end="10" orig_id="632"/>
          <entity id="e1239" type="G#PhysicalEffect" text="volume memory effect" start="11" end="14" orig_id="549"/>
          <entity id="e1240" type="G#Species" text="n 2 a 3 σ u" start="15" end="22" orig_id="589"/>
          <entity id="e1241" type="G#Species" text="metastable states" start="23" end="25" orig_id="317"/>
        </entities>
      </sentence>
      <sentence id="s276" text="There was no notable influence of the oxygen concentration on the discharge stability, despite the effective quenching of N 2 (A 3 Σ + u ) by oxygen .">
        <entities>
          <entity id="e1242" type="G#Species" text="oxygen" start="7" end="8" orig_id="184"/>
          <entity id="e1243" type="G#PhysicalQuantity" text="oxygen concentration" start="7" end="9" orig_id="633"/>
          <entity id="e1244" type="G#PlasmaProperties" text="discharge stability" start="11" end="13" orig_id="578"/>
          <entity id="e1245" type="G#PhysicalEffect" text="effective quenching" start="15" end="17" orig_id="585"/>
          <entity id="e1246" type="G#Species" text="n 2" start="18" end="20" orig_id="281"/>
        </entities>
      </sentence>
      <sentence id="s277" text="Finally, the spatio-temporal evolution of the single selfstabilized discharge filament reveals similarities to both microdischarges and the glow-like discharge .">
        <entities>
          <entity id="e1247" type="G#PlasmaProperties" text="spatio temporal evolution" start="2" end="4" orig_id="557"/>
          <entity id="e1248" type="G#DischargeRegime" text="single selfstabilized discharge filament" start="6" end="10" orig_id="634"/>
          <entity id="e1249" type="G#DischargeRegime" text="glow like discharge" start="17" end="19" orig_id="635"/>
        </entities>
      </sentence>
      <sentence id="s278" text="The main characteristics, in chronological order, are the Townsend pre-phase of some µs duration, the cathode-directed ionization front propagating on the ns time scale, the negative glow in front of the cathode followed by Faraday dark space, the positive column and the anode glow at the moment of maximum discharge current, as well as the long-lasting afterglow in the discharge channel and radially spreading surface discharges on the di electrics during the post-phase .">
        <entities>
          <entity id="e1250" type="G#Unit" text="µs" start="12" end="13" orig_id="397"/>
          <entity id="e1251" type="G#PhysicalQuantity" text="duration" start="13" end="14" orig_id="98"/>
          <entity id="e1252" type="G#PhysicalEffect" text="cathode directed ionization front" start="15" end="18" orig_id="41"/>
          <entity id="e1253" type="G#PhysicalEffect" text="ionization" start="16" end="17" orig_id="78"/>
          <entity id="e1254" type="G#PhysicalEffect" text="ionization front" start="16" end="18" orig_id="487"/>
          <entity id="e1255" type="G#Unit" text="ns" start="21" end="22" orig_id="100"/>
          <entity id="e1256" type="G#PhysicalQuantity" text="time scale" start="22" end="24" orig_id="136"/>
          <entity id="e1257" type="G#PlasmaProperties" text="negative glow" start="25" end="27" orig_id="431"/>
          <entity id="e1258" type="G#PlasmaProperties" text="dark space" start="35" end="37" orig_id="432"/>
          <entity id="e1259" type="G#PlasmaProperties" text="positive column" start="38" end="40" orig_id="433"/>
        </entities>
      </sentence>
      <sentence id="s279" text="Additionally, the intensity ratio of He single lines as a qualitative measure of the local electric field indicates a cathode fall with an axial extent of 0.1 mm .">
        <entities>
          <entity id="e1260" type="G#PhysicalQuantity" text="intensity ratio of he single lines" start="2" end="8" orig_id="636"/>
          <entity id="e1261" type="G#PhysicalQuantity" text="local electric field" start="14" end="17" orig_id="401"/>
          <entity id="e1262" type="G#PhysicalEffect" text="cathode fall" start="19" end="21" orig_id="637"/>
        </entities>
      </sentence>
      <sentence id="s280" text="Hence, the optical diagnostics reveal the breakdown mechanism to be determined by space charge formation and significant electric field distortion across the gas gap .">
        <entities>
          <entity id="e1263" type="G#Experiment" text="optical diagnostics" start="2" end="4" orig_id="102"/>
          <entity id="e1264" type="G#PhysicalEffect" text="breakdown mechanism" start="6" end="8" orig_id="147"/>
          <entity id="e1265" type="G#PhysicalQuantity" text="space charge" start="12" end="14" orig_id="80"/>
          <entity id="e1266" type="G#PhysicalQuantity" text="electric field" start="17" end="19" orig_id="95"/>
          <entity id="e1267" type="G#PhysicalEffect" text="electric field distortion" start="17" end="20" orig_id="638"/>
          <entity id="e1268" type="G#ElectrodeConfiguration" text="gas gap" start="22" end="24" orig_id="131"/>
        </entities>
      </sentence>
      <sentence id="s281" text="The constricted cathodedirected ionization front correlates with the centered formation of positive surface charges during the breakdown .">
        <entities>
          <entity id="e1269" type="G#PhysicalEffect" text="constricted cathodedirected ionization front" start="1" end="5" orig_id="639"/>
          <entity id="e1270" type="G#PhysicalEffect" text="cathodedirected ionization front" start="2" end="5" orig_id="640"/>
          <entity id="e1271" type="G#PhysicalQuantity" text="positive surface charges" start="11" end="14" orig_id="442"/>
          <entity id="e1272" type="G#PhysicalEffect" text="breakdown" start="16" end="17" orig_id="42"/>
        </entities>
      </sentence>
      <sentence id="s282" text="In addition, the radial propagation of the surface discharges on both di electrics could be correlated with the annular change in surface charge density during the post-phase .">
        <entities>
          <entity id="e1273" type="G#DischargeRegime" text="surface discharges" start="7" end="9" orig_id="43"/>
          <entity id="e1274" type="G#PhysicalQuantity" text="surface charge density" start="21" end="24" orig_id="232"/>
          <entity id="e1275" type="G#DischargeRegime" text="post phase" start="26" end="27" orig_id="101"/>
        </entities>
      </sentence>
      <sentence id="s283" text="In order to measure the fast ionization front, a squarewave voltage with a shorter rise time should be used to reduce the temporal jitter of the discharge .">
        <entities>
          <entity id="e1276" type="G#PhysicalEffect" text="ionization" start="6" end="7" orig_id="78"/>
          <entity id="e1277" type="G#PhysicalEffect" text="ionization front" start="6" end="8" orig_id="641"/>
          <entity id="e1278" type="G#PowerSupply" text="squarewave voltage" start="9" end="11" orig_id="642"/>
          <entity id="e1279" type="G#PhysicalQuantity" text="rise time" start="14" end="16" orig_id="643"/>
          <entity id="e1280" type="G#PhysicalEffect" text="temporal jitter" start="22" end="24" orig_id="411"/>
        </entities>
      </sentence>
      <sentence id="s284" text="The single self-stabilized discharge filament provides the possibility to determine the spatio-temporal evolution of the electric field by the measured He singlet line intensity ratio in combination with a collision-radiation model .">
        <entities>
          <entity id="e1281" type="G#DischargeRegime" text="single self stabilized discharge filament" start="1" end="5" orig_id="141"/>
          <entity id="e1282" type="G#PlasmaProperties" text="spatio temporal evolution" start="11" end="13" orig_id="557"/>
          <entity id="e1283" type="G#PhysicalQuantity" text="electric field" start="15" end="17" orig_id="95"/>
          <entity id="e1284" type="G#PhysicalQuantity" text="he singlet line intensity ratio" start="20" end="25" orig_id="644"/>
          <entity id="e1285" type="G#Modelling" text="collision radiation model" start="29" end="31" orig_id="94"/>
        </entities>
      </sentence>
      <sentence id="s285" text="In this context, it would be interesting to vary the He/N 2 mixing ratio, as well as the gas gap width, in order to investigate the transition regime to the wellknown glow-like barrier discharge .">
        <entities>
          <entity id="e1286" type="G#Species" text="he n 2" start="10" end="12" orig_id="270"/>
          <entity id="e1287" type="G#PhysicalQuantity" text="he n 2 mixing ratio" start="10" end="14" orig_id="645"/>
          <entity id="e1288" type="G#PhysicalQuantity" text="gas gap width" start="18" end="21" orig_id="646"/>
          <entity id="e1289" type="G#DischargeRegime" text="transition regime" start="26" end="28" orig_id="647"/>
          <entity id="e1290" type="G#PlasmaSource" text="glow like barrier discharge" start="31" end="34" orig_id="38"/>
          <entity id="e1291" type="G#PlasmaSource" text="barrier discharge" start="32" end="34" orig_id="6"/>
        </entities>
      </sentence>
      <sentence id="s286" text="Moreover, it is planned to measure the morphology and lifetime of surface charges in correlation with the self-stabilization of discharge filaments under systematic variation of the gas system including various gases. .">
        <entities>
          <entity id="e1292" type="G#PhysicalQuantity" text="lifetime" start="9" end="10" orig_id="385"/>
          <entity id="e1293" type="G#PhysicalQuantity" text="surface charges" start="11" end="13" orig_id="114"/>
          <entity id="e1294" type="G#PhysicalEffect" text="self stabilization of discharge filaments" start="17" end="21" orig_id="302"/>
          <entity id="e1295" type="G#DischargeRegime" text="filaments" start="20" end="21" orig_id="29"/>
          <entity id="e1296" type="G#PlasmaMedium" text="gas system" start="26" end="28" orig_id="341"/>
          <entity id="e1297" type="G#PlasmaMedium" text="gases" start="30" end="31" orig_id="648"/>
        </entities>
      </sentence>
    </sentences>
    <keywords>
      <keyword>spatio temporal evolution</keyword>
      <keyword>charge carrier avalanches</keyword>
      <keyword>he singlet transitions</keyword>
      <keyword>secondary electron emission coefficients</keyword>
      <keyword>mass flow controllers</keyword>
      <keyword>gas gap width</keyword>
      <keyword>positive space charge formation</keyword>
      <keyword>collision radiation model</keyword>
      <keyword>electro optic pockels effect</keyword>
      <keyword>total flow rate</keyword>
      <keyword>discharge current maximum</keyword>
      <keyword>optical emission spectroscopy</keyword>
      <keyword>negatively charged cathodic dielectric</keyword>
      <keyword>cathodic di electric</keyword>
      <keyword>surface charge population</keyword>
      <keyword>Low Temperature Plasma Research</keyword>
    </keywords>
  </annotations>
</document>
