<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">JASMI</journal-id><journal-title-group><journal-title>Journal of Analytical Sciences, Methods and Instrumentation</journal-title></journal-title-group><issn pub-type="epub">2164-2745</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/jasmi.2015.54007</article-id><article-id pub-id-type="publisher-id">JASMI-61968</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Chemistry&amp;Materials Science</subject></subj-group></article-categories><title-group><article-title>
 
 
  Determination of N and O-Atoms, of N&lt;sub&gt;2&lt;/sub&gt;(A) and N&lt;sub&gt;2&lt;/sub&gt;(X, v &gt; 13) Metastable Molecules and N&lt;sub&gt;2&lt;/sub&gt;&lt;sup style=&quot;margin-left:-6px;&quot;&gt;+&lt;/sup&gt; Ion Densities in the Afterglows of Ar-N&lt;sub&gt;2&lt;/sub&gt; Microwave Discharges
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>ndre</surname><given-names>Ricard</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Hayat</surname><given-names>Zerrouki</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Jean-Philippe</surname><given-names>Sarrette</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Laplace, Toulouse, France</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>ricard@laplace.univ-tlse.fr(NR)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>14</day><month>12</month><year>2015</year></pub-date><volume>05</volume><issue>04</issue><fpage>59</fpage><lpage>65</lpage><history><date date-type="received"><day>5</day>	<month>November</month>	<year>2015</year></date><date date-type="rev-recd"><day>accepted</day>	<month>14</month>	<year>December</year>	</date><date date-type="accepted"><day>17</day>	<month>December</month>	<year>2015</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  Early afterglows of Ar-N
  <sub>2</sub> flowing microwave discharges are characterized by optical emission spectroscopy. The N and O atoms, the N
  <sub>2</sub>(A) and N
  <sub>2</sub>(X, v &gt; 13) metastable molecules and N
  <sub>2</sub>
  <sup style="margin-left:-6px;">+</sup> ion densities are determined by optical emission spectroscopy after calibration by NO titration for N and O-atoms and measurements of NO and N
  <sub>2</sub> band intensities. For an Ar-xN
  <sub>2</sub> gas mixture with &#215; increasing from 2 to 100% at 4 Torr, 100 Watt and an afterglow time of 3 &#215; 10
  <sup>- 3</sup> s at the 5 liter reactor inlet, it is found densities in the ranges of (2 - 6) &#215; 10
  <sup>14</sup> cm
  <sup>- 3</sup> for N-atoms, one order of magnitude lower for N
  <sub>2</sub>(X, v &gt; 13) and for O-atoms (coming from air impurity), of 10
  <sup>10</sup> - 10
  <sup>11</sup> cm
  <sup>- 3</sup> for N
  <sub>2</sub>(A) and of 10
  <sup>8</sup> - 10
  <sup>9</sup> cm
  <sup>- 3</sup> for N
  <sub>2</sub>
  <sup style="margin-left:-6px;">+</sup>.
 
</p></abstract><kwd-group><kwd>Ar-N&lt;sub&gt;2&lt;/sub&gt; Microwave Discharge</kwd><kwd> Flowing Afterglow</kwd><kwd> N-Atoms</kwd><kwd> N&lt;sub&gt;2&lt;/sub&gt; Metastables</kwd><kwd>   N&lt;sub&gt;2&lt;/sub&gt;&lt;sup style=&quot;margin-left:-6px;&quot;&gt;+&lt;/sup&gt;  Ions</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Afterglows of N<sub>2</sub> flowing microwave discharges have been studied at medium gas pressures (1 - 20 Torr) for sterilization of medical instruments by N-atoms [<xref ref-type="bibr" rid="scirp.61968-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.61968-ref2">2</xref>] . The mentioned project of sterilization in N<sub>2</sub> afterglow is based on N-atom etching of bacteria without oxidation by O-atoms. A part of the present study is to detect the O-atoms from air impurity to appreciate their influence on the sterilization process.</p><p>The main part concerns a study of Ar-N<sub>2</sub> gas mixtures to enhance the sterilization process in the early afterglow. The interest of N<sub>2</sub> dilution into Ar is to increase the electron energy in the plasma at constant values of transmitted power and of gas pressure. Superelastic collisions of electrons on the Ar metastable atoms produced in the plasma could enhance the electron energy. It is mentioned here that in the present measurements of flowing afterglow, the Ar metastable atoms have disappeared after collisions on the tube wall (destruction probability of about 1). As a consequence, the excitation transfers of Ar metastable atoms on N<sub>2</sub> can be discarded at a distance of about 1 cm after the discharge end. Another interest of Argon dilution is to maintain the plasma at high gas pressure, up to the atmospheric gas pressure while keeping a plasma power as low than 100 Watt [<xref ref-type="bibr" rid="scirp.61968-ref3">3</xref>] .</p><p>The early flowing afterglows produced from Ar-N<sub>2</sub> microwave plasmas are presently studied by emission spectroscopy with the same experimental methods as in N<sub>2</sub>-H<sub>2</sub> RF afterglow [<xref ref-type="bibr" rid="scirp.61968-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.61968-ref5">5</xref>] , in N<sub>2</sub>, N<sub>2</sub>-O<sub>2</sub> [<xref ref-type="bibr" rid="scirp.61968-ref6">6</xref>] and in N<sub>2</sub>-H<sub>2</sub>, Ar-N<sub>2</sub>-H<sub>2,</sub> Ar-N<sub>2</sub>-O<sub>2</sub> microwave early afterglows [<xref ref-type="bibr" rid="scirp.61968-ref6">6</xref>] .</p><p>The present paper is focused on Ar-N<sub>2</sub> early afterglow by directly introducing the discharge tube of 5 mm dia. inside the 5 litre reactor. By this way, it is expected to add the metastable N<sub>2</sub>(A) and N<sub>2</sub>(X, v &gt; 13) molecules and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x10.png" xlink:type="simple"/></inline-formula> ions to the N-atoms in the surface treatments as previously experimented [<xref ref-type="bibr" rid="scirp.61968-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.61968-ref2">2</xref>] . The studied active species are as in [<xref ref-type="bibr" rid="scirp.61968-ref6">6</xref>] the N and O-atoms, the N<sub>2</sub>(A) and N<sub>2</sub>(X, v &gt; 13) metastable molecules and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x11.png" xlink:type="simple"/></inline-formula> ions. The intensities emitted by the N<sub>2</sub> first positive (1<sup>st</sup> pos.) and N<sub>2</sub> second positive (2<sup>nd</sup> pos.) systems and by the NO<sub>β</sub> bands are measured to obtain the mentioned active specie densities after NO titration to calibrate the N and O-atom densities [<xref ref-type="bibr" rid="scirp.61968-ref6">6</xref>] . The O-atoms are coming from air impurity in the discharge.</p></sec><sec id="s2"><title>2. Experimental Setup and NO Titration</title><p>The experimental setup is changed in comparison to the one used in [<xref ref-type="bibr" rid="scirp.61968-ref6">6</xref>] . The dia. 5 mm discharge tube is now directly connected to the 5 litre reactor as shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>. The Ar-N<sub>2</sub> microwave plasmas is always produced by a surfatron cavity at 2450 MHz, 100 Watt, 1 slm, but lowering the gas pressure from 8 Torr in [<xref ref-type="bibr" rid="scirp.61968-ref6">6</xref>] to 4 Torr to allow a satisfactory diffusion of the afterglow inside the 5 litre reactor.</p><p>The plasma is located inside the dia.5 mm tube with a length after the surfatron gap varying from about 5 cm in pure N<sub>2</sub> to 20 cm in the Ar-2%N<sub>2</sub> gas mixture. With a discharge tube length of 30 cm after the surfatron gap, the residence time before the afterglow in the 5 litre reactor is 3 &#215; 10<sup>−3</sup> s.</p><p>The optical emission spectroscopy across the reactor is performed by means of an optical fiber connected to an Acton Spectra Pro 2500i spectrometer (grating 600 gr/mm) equipped with a Pixis 256E CCD detector (front illuminated 1024 &#215; 256 pixels).</p><p>The N-atom density is obtained from the I<sub>580</sub> measured intensity after calibration by NO titration as described in [<xref ref-type="bibr" rid="scirp.61968-ref6">6</xref>] .</p><fig id="fig1"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> Microwave discharge and post-discharge reactor of 5 liters</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1000188x12.png"/></fig></sec><sec id="s3"><title>3. The Ar-N<sub>2</sub> Early Afterglow</title><sec id="s3_1"><title>3.1. N-Atom Density</title><p>As reported in [<xref ref-type="bibr" rid="scirp.61968-ref6">6</xref>] , the pure late afterglow emission is produced by reaction R1 in <xref ref-type="table" rid="table1">Table 1</xref>.</p><p>The N<sub>2</sub> (580 nm) band head intensity (<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x13.png" xlink:type="simple"/></inline-formula>) in arbitrary unit (a.u) was measured for constant parameters of the Acton spectrometer (grating 600 gr/mm, slit of 150 μm, integrating time 1 s).</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x14.png" xlink:type="simple"/></inline-formula>is then deduced from reaction R1 with v’ = 11 and hυ = hc/λ (580 nm), as follows:</p><disp-formula id="scirp.61968-formula1"><label>(1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1000188x15.png"  xlink:type="simple"/></disp-formula><p>with k<sub>1</sub> explicited in [<xref ref-type="bibr" rid="scirp.61968-ref4">4</xref>] - [<xref ref-type="bibr" rid="scirp.61968-ref6">6</xref>] .</p><p>The reaction R1 produced with an excess of Ar atoms results in a change of the N<sub>2</sub>(B, v') distribution as compared to pure N<sub>2</sub> at a given a<sub>N+N</sub> value. The N + N recombination coefficient a<sub>N+N</sub> has been calculated in [<xref ref-type="bibr" rid="scirp.61968-ref6">6</xref>] in conditions of pink and late afterglows for Ar-xN<sub>2</sub> gas mixture with x from 2% to 100%.</p><p>Equation (1) becomes:</p><disp-formula id="scirp.61968-formula2"><label>(2)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1000188x16.png"  xlink:type="simple"/></disp-formula><p>By NO titration,it has been verified the same k<sub>1</sub> value inside the error bars as for pure N<sub>2</sub> [<xref ref-type="bibr" rid="scirp.61968-ref6">6</xref>] :</p><p>k<sub>1</sub> = 0.6 (+/− 0.3)10<sup>−26</sup> cm<sup>6</sup> counts/s with <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x17.png" xlink:type="simple"/></inline-formula> in counts/s and [N] in cm<sup>−3</sup>.</p><p>It is obtained a<sub>N+N</sub> = 0.9 for pure N<sub>2</sub> and a<sub>N+N</sub> = 0.5 for the Ar-2% N<sub>2</sub> mixture in the 5 litre reactor.</p><p>This result indicates that the early afterglow in N<sub>2</sub> is dominated by the N+N recombination as expressed by R1.</p><p>The N-atom density is then obtained in the 5 litre reactor by taking into account the change of diameter from 2.1 cm in the tube to 15 cm in the reactor.</p><p>It is reported in <xref ref-type="fig" rid="fig2">Figure 2</xref> the N-atom density variation with the %N<sub>2</sub> into Ar</p><p>A slow increase of N-atom density is found in the range 2% - 10% N<sub>2</sub> to reach a constant value of (5 - 6) &#215; 10<sup>14</sup> cm<sup>−3</sup> between 10 and 100% N<sub>2</sub>. The uncertainty on N-atom density is estimated to be 30% [<xref ref-type="bibr" rid="scirp.61968-ref6">6</xref>] .</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Kinetic reactions in Ar-N<sub>2</sub> afterglow</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  colspan="2"  >Reactions</th></tr></thead><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x18.png" xlink:type="simple"/></inline-formula> <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x19.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >R1</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x20.png" xlink:type="simple"/></inline-formula> <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x21.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >R2</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x22.png" xlink:type="simple"/></inline-formula> <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x23.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >R3</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x24.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >R4</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x25.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >R5</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x26.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >R6</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x27.png" xlink:type="simple"/></inline-formula> <sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x28.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >R7<sub> </sub> <sub> </sub></td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x29.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >R8</td></tr></tbody></table></table-wrap><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> Active species density versus the %N<sub>2</sub> into the Ar-N<sub>2</sub> early afterglow in the 5 litre reactor at 4 Torr, 1 Slm, afterglow time of 3 &#215; 10<sup>−3</sup> s, plasma 100 Watt</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1000188x30.png"/></fig></sec><sec id="s3_2"><title>3.2. Density of O-Atoms in Impurity in the Ar-N<sub>2</sub> Early Afterglow</title><p>The NO<sub>β</sub> bands are presently observed as a result of the recombination of N and O atoms by reaction R2. In a similar way than for Equation (1), the NO (320 nm) measured band intensity (<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x31.png" xlink:type="simple"/></inline-formula>) is deduced from reaction R2 as follows:</p><disp-formula id="scirp.61968-formula3"><label>(3)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1000188x32.png"  xlink:type="simple"/></disp-formula><p>The coefficients in k<sub>3</sub> are explicited in ref. 6 as for k<sub>1</sub>.</p><p>The O atom density can be deduced from the N-atom density by considering the a<sub>N+N</sub>. <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x33.png" xlink:type="simple"/></inline-formula>ratio of reactions 2 and 3, as follows:</p><disp-formula id="scirp.61968-formula4"><label>(4)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1000188x34.png"  xlink:type="simple"/></disp-formula><p>with k<sub>4</sub> = k<sub>1</sub>/k<sub>3</sub>.</p><p>After several NO titration experiments, it was found in [<xref ref-type="bibr" rid="scirp.61968-ref6">6</xref>] : k<sub>4</sub> = 1(+/−0.4). From k<sub>4</sub> obtained by NO titration, the O-atom density in the Ar-N<sub>2</sub> early afterglow inside the reactor was determined by Equation (4) after measurements of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x35.png" xlink:type="simple"/></inline-formula> and [N] versus the N<sub>2</sub> percent into Ar. The results are reproduced in <xref ref-type="fig" rid="fig2">Figure 2</xref>. If the uncertainty on N-atom density is estimated to be 30% (see part 3.1), the experimental errors on O-atom density calculated from Equation (4), with the uncertainty on k<sub>4</sub> of 40% is 90% that is near the order of magnitude.</p><p>As shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>, there is a slow decrease of the O-atom density from 3 to 2 &#215; 10<sup>13</sup> cm<sup>−3</sup> between 2% to 100%N<sub>2</sub>.</p></sec><sec id="s3_3"><title>3.3. Density of N<sub>2</sub>(A) Metastable Molecules</title><p>It has been detected the N<sub>2</sub>(C, 1&#174; B, 0) emission at 316 nm near the NO<sub>β</sub> emission at 320 nm which is used as in [<xref ref-type="bibr" rid="scirp.61968-ref4">4</xref>] - [<xref ref-type="bibr" rid="scirp.61968-ref6">6</xref>] to determine the density of the N<sub>2</sub>(A) metastable molecule.</p><p>It is considered that the N<sub>2</sub> 2<sup>nd</sup> positive system in the early afterglow is produced by reaction R3.</p><p>The N<sub>2</sub> (316 nm) measured intensity (<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x36.png" xlink:type="simple"/></inline-formula>) is then given by:</p><disp-formula id="scirp.61968-formula5"><label>(5)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1000188x37.png"  xlink:type="simple"/></disp-formula><p>with k<sub>5</sub> explicited in [<xref ref-type="bibr" rid="scirp.61968-ref6">6</xref>] .</p><p>From Equations (3) and (5), it comes the following <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x38.png" xlink:type="simple"/></inline-formula> intensity ratio:</p><disp-formula id="scirp.61968-formula6"><label>(6)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1000188x39.png"  xlink:type="simple"/></disp-formula><p>with k<sub>6</sub> = k<sub>3</sub>/k<sub>5</sub>. The N<sub>2</sub>(A) density is then obtained from equation (6) with the N and O atom densities previously determined. <sub></sub></p><p>As shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>, the N<sub>2</sub>(A) density kept a constant value in the Ar-N<sub>2</sub> gas mixture. It is estimated that it is obtained the order of magnitude of N<sub>2</sub>(A) density in the range 10<sup>10</sup> - 10<sup>11</sup> cm<sup>−3</sup>.</p></sec><sec id="s3_4"><title>3.4. Density of N<sub>2</sub>(X, v &gt; 13) Molecules</title><p>The production of N<sub>2</sub>(B, 11) by R1 in the early afterglow is less than 1 ( a<sub>N+N</sub> &lt; 1).</p><p>Other collisional processes in the pink afterglow [<xref ref-type="bibr" rid="scirp.61968-ref7">7</xref>] also excite the N<sub>2</sub>(B) states, in addition to reaction R1.</p><p>For this other part (1 − a<sub>N+N</sub>), it is considered the reactions R4 and R5 whose rate coefficients are reported in [<xref ref-type="bibr" rid="scirp.61968-ref4">4</xref>] - [<xref ref-type="bibr" rid="scirp.61968-ref6">6</xref>] . The contribution of reactions R4 and R5 on <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x40.png" xlink:type="simple"/></inline-formula> is then written as follows:</p><disp-formula id="scirp.61968-formula7"><label>(7)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1000188x41.png"  xlink:type="simple"/></disp-formula><p>where k<sub>R4</sub>, k<sub>R5</sub> are the rate coefficients of reactions R4, R5. As<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x42.png" xlink:type="simple"/></inline-formula>, it is deduced:</p><disp-formula id="scirp.61968-formula8"><label>(8)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1000188x43.png"  xlink:type="simple"/></disp-formula><p>With the experimental values of a<sub>N+N</sub> and of N and N<sub>2</sub>(A) densities, it is found that <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x44.png" xlink:type="simple"/></inline-formula> is about 2 orders of magnitude lower than [N]<sup>2</sup>k<sub>1</sub>.It results that Equation 8 can be simplified as:</p><disp-formula id="scirp.61968-formula9"><label>(9)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1000188x45.png"  xlink:type="simple"/></disp-formula><p>From the obtained values of N-atom and N<sub>2</sub>(A) density, it was deduced the values of [N<sub>2</sub>(X, v &gt; 13)] as reproduced in <xref ref-type="fig" rid="fig2">Figure 2</xref>.</p><p>It is observed about one order of magnitude lower N<sub>2</sub>(X, v &gt; 13) density as compared to N values.</p><p>Such values of [N<sub>2</sub>(X, v &gt; 13)] can be considered as an estimated value depending on the R5 rate coefficient.</p></sec><sec id="s3_5"><title>3.5. Density of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x46.png" xlink:type="simple"/></inline-formula> Ions</title><p>The emission of the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x47.png" xlink:type="simple"/></inline-formula> band at 391 nm is observed in the present early afterglows. It is generally proposed [<xref ref-type="bibr" rid="scirp.61968-ref8">8</xref>] that the<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x47.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x48.png" xlink:type="simple"/></inline-formula>, 391 nm band is produced in the pink afterglow by reactions R6 and R7.</p><p>The <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x49.png" xlink:type="simple"/></inline-formula> intensity is then expressed as follows:</p><disp-formula id="scirp.61968-formula10"><label>(10)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1000188x50.png"  xlink:type="simple"/></disp-formula><p>with<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x51.png" xlink:type="simple"/></inline-formula>, where c<sub>391</sub> is the spectral response of spectrometer, V is the detected afterglow volume, A<sub>391</sub> the Einstein coefficient of the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x51.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x52.png" xlink:type="simple"/></inline-formula> (391 nm) transition, k<sub>R7</sub> the rate coefficient of reaction R7 with <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x51.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x52.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x53.png" xlink:type="simple"/></inline-formula> [<xref ref-type="bibr" rid="scirp.61968-ref9">9</xref>] , <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x51.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x52.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x53.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x54.png" xlink:type="simple"/></inline-formula>and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x51.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x52.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x53.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x55.png" xlink:type="simple"/></inline-formula> [<xref ref-type="bibr" rid="scirp.61968-ref10">10</xref>] .</p><p>By comparing the intensities of I<sup>m</sup><sub>316</sub> from Equation (5) and I<sup>m</sup><sub>391</sub> from equation (10), it is calculated:</p><disp-formula id="scirp.61968-formula11"><label>(11)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-1000188x56.png"  xlink:type="simple"/></disp-formula><p>with k<sub>11</sub> increasing from 6.6 10<sup>−2</sup> in pure N<sub>2</sub> to 0.17 in Ar-2%N<sub>2</sub>.</p><p>By assuming the equality [N<sub>2</sub>, X, v&gt;12] = [N<sub>2</sub>, X, v &gt; 13], it is found a <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x57.png" xlink:type="simple"/></inline-formula> density which decreases from about 10<sup>9</sup> cm<sup>−3</sup> in pure N<sub>2</sub> to 2 &#215; 10<sup>8</sup> cm<sup>−3</sup> in Ar-10%N<sub>2</sub> and increases again to 10<sup>9</sup> cm<sup>−3</sup> in Ar-2%N<sub>2</sub>. To verify that the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x57.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x58.png" xlink:type="simple"/></inline-formula> ions are not coming from the end of a plasma jet at Ar-2%N<sub>2</sub>, the measurements have also be performed 5 cm above in the 5 litre reactor, keeping about the same results.</p><p>Compared to published data [<xref ref-type="bibr" rid="scirp.61968-ref11">11</xref>] [<xref ref-type="bibr" rid="scirp.61968-ref12">12</xref>] , the value of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x59.png" xlink:type="simple"/></inline-formula> density in pure N<sub>2</sub> appears to be in the same order of magnitude.</p></sec></sec><sec id="s4"><title>4. Interest of Ar-N<sub>2</sub> Gas Mixture for Surface Treatments</title><p>It is reported in <xref ref-type="fig" rid="fig3">Figure 3</xref> the N/N<sub>2</sub>, N<sub>2</sub>(X, v &gt; 13)/N<sub>2</sub>, N<sub>2</sub>(A)/N<sub>2</sub> and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x60.png" xlink:type="simple"/></inline-formula> density ratio versus the %N<sub>2</sub> into</p><fig id="fig3"  position="float"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title> Density ratios of active species on N<sub>2</sub> versus the %N<sub>2</sub> in the Ar-N<sub>2</sub> gas mixtures. In addition <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x62.png" xlink:type="simple"/></inline-formula> ratio</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-1000188x61.png"/></fig><p>Ar. Clearly, there is an interest of low %N<sub>2</sub> to increase the active species density relative to N<sub>2</sub> if it can be considered that the Ar atoms have no influence on the surface processes.</p><p>The <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x63.png" xlink:type="simple"/></inline-formula> density ratio is nearly constant from pure N<sub>2</sub> to Ar-10%N<sub>2</sub> with a new increase with Ar-2%N<sub>2</sub>.</p><p>There is thus an interest of Ar-xN<sub>2</sub> gas mixtures with x = 2% - 20% for surface treatments with high N, N<sub>2</sub>(A, Xv &gt; 13) and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x64.png" xlink:type="simple"/></inline-formula> density values ( see <xref ref-type="fig" rid="fig2">Figure 2</xref>).</p><p>The <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x65.png" xlink:type="simple"/></inline-formula> density ratio decreased from pure N<sub>2</sub> to Ar-10%N<sub>2</sub> with an increase at Ar-2%N<sub>2</sub> to find again the value in pure N<sub>2</sub>.</p><p>This increase of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x66.png" xlink:type="simple"/></inline-formula> density for Ar-2%N<sub>2</sub> could be the result of the charge transfer R8 at the benefit of the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x66.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x67.png" xlink:type="simple"/></inline-formula> ions [<xref ref-type="bibr" rid="scirp.61968-ref13">13</xref>] .</p></sec><sec id="s5"><title>5. Conclusions</title><p>Densities of N and O atoms (the O-are coming from air impurity), N<sub>2</sub>(A) and N<sub>2</sub>(X, v &gt; 13) metastable molecules and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x68.png" xlink:type="simple"/></inline-formula> ions have been determined in Ar-N<sub>2</sub> early afterglows of flowing microwave discharges at 1 slm, 4 Torr, afterglow time of 3 &#215; 10<sup>−3</sup> s and 100 W, after NO calibration.</p><p>The density of these active species are obtained by comparing the N<sub>2</sub> (580 nm), NO<sub>β</sub> (320 nm), N<sub>2</sub> (316 nm) and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x69.png" xlink:type="simple"/></inline-formula> (391 nm) band intensities and by writing the dominant kinetic equations.</p><p>It is found densities in the ranges of (2 - 6) &#215; 10<sup>14</sup> cm<sup>−3</sup> for N-atoms, one order of magnitude lower for both N<sub>2</sub>(X, v &gt; 13) and O-atoms (coming from air impurity), of 10<sup>10</sup> - 10<sup>11</sup> cm<sup>−3</sup> for N<sub>2</sub>(A) and of 10<sup>8</sup> - 10<sup>9</sup> cm<sup>−3</sup> for<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x70.png" xlink:type="simple"/></inline-formula>.</p><p>The densities obtained by these line-ratio measurements are with an uncertainty of 30% for N-atoms and the order of magnitude for O-atoms and N<sub>2</sub>(A) metastable molecules. Estimated densities values are obtained for the N<sub>2</sub>(X, v &gt; 13) metastable and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x71.png" xlink:type="simple"/></inline-formula> ions which are depending on the kinetics reaction rates.</p><p>It is found that the main interest of N<sub>2</sub> dilution into Ar is to increase the N/N<sub>2</sub> dissociation from 0.5% in N<sub>2</sub> to about 10% in the Ar-2%N<sub>2</sub> which could be of interest for surface reactions of N-atoms with less N<sub>2</sub> molecules. The other N<sub>2</sub>(A)/ N<sub>2</sub>, N<sub>2</sub>(X, v &gt; 13)/N<sub>2</sub> density ratios are also increasing at low %N<sub>2</sub> into Ar. It is not the case for the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x72.png" xlink:type="simple"/></inline-formula> and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x72.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-1000188x73.png" xlink:type="simple"/></inline-formula> ratios which are constant or decreasing from pure N<sub>2</sub> up to 10%N<sub>2</sub>.</p></sec><sec id="s6"><title>Cite this paper</title><p>AndreRicard,HayatZerrouki,Jean-PhilippeSarrette, (2015) Determination of N and O-Atoms, of N<sub>2</sub>(A) and N<sub>2</sub>(X, v&gt; 13) Metastable Molecules and N<sub>2</sub><sup>+</sup> Ion Densities in the Afterglows of Ar-N<sub>2</sub> Microwave Discharges. Journal of Analytical Sciences, Methods and Instrumentation,05,59-65. doi: 10.4236/jasmi.2015.54007</p></sec></body><back><ref-list><title>References</title><ref id="scirp.61968-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Villeger, S., Sarrette, J.P. and Ricard, A. (2005) Synergy between N and O Atom Action and Substrate Temperature in a Sterilization Process Using a Flowing N&lt;sub&gt;2&lt;/sub&gt;-O&lt;sub&gt;2&lt;/sub&gt; Microwave Post-Discharge. Plasma Process and Polymers, 2, 709-711.  
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