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<ri:Resource created="2017-12-15T12:34:55Z" status="active" updated="2025-05-19T09:50:00Z" version="1.2" xmlns:ri="http://www.ivoa.net/xml/RegistryInterface/v1.0" xmlns:vr="http://www.ivoa.net/xml/VOResource/v1.0" xmlns:vs="http://www.ivoa.net/xml/VODataService/v1.1" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.ivoa.net/xml/VOResource/v1.0 http://vo.ari.uni-heidelberg.de/docs/schemata/VOResource.xsd http://www.ivoa.net/xml/VODataService/v1.1 http://vo.ari.uni-heidelberg.de/docs/schemata/VODataService.xsd" xsi:type="vs:CatalogService"><title>H_2_, D_2_, and HD c^3^{Pi}_u_^-^(v,N) levels</title><shortName>J/ApJS/232/19</shortName><identifier>ivo://CDS.VizieR/J/ApJS/232/19</identifier><altIdentifier>doi:10.26093/cds/vizier.22320019</altIdentifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>Liu X.</name></creator><creator><name>Shemansky D.E.</name></creator><creator><name>Yoshii J.</name></creator><creator><name>Liu M.J.</name></creator><creator><name>Johnson P.V.</name></creator><creator><name>Malone C.P.,Khakoo M.A.</name></creator><date role="Updated">2018-02-02T10:50:54Z</date><date role="Created">2017-12-15T12:34:55Z</date><contact><name>CDS support team</name><address>CDS, Observatoire de Strasbourg, 11 rue de l'Universite, F-67000 Strasbourg, France</address><email>cds-question@unistra.fr</email></contact></curation><content><subject>atomic-physics</subject><description>The c^3^{Pi}_u_ state of the hydrogen molecule has the second largest triplet-state excitation cross-section, and plays an important role in the heating of the upper thermospheres of outer planets by electron excitation. Precise energies of the H_2_, D_2_, and HD c^3^{Pi}_u_^-^(v,N) levels are calculated from highly accurate ab initio potential energy curves that include relativistic, radiative, and empirical non-adiabatic corrections. The emission yields are determined from predissociation rates and refined radiative transition probabilities. The excitation function and excitation cross-section of the c^3^{Pi}_u_ state are extracted from previous theoretical calculations and experimental measurements. The emission cross-section is determined from the calculated emission yield and the extracted excitation cross-section. The kinetic energy (Ek) distributions of H atoms produced via the predissociation of the c^3^{Pi}_u_ state, the c^3^{Pi}_u_^-^-b^3^{Sigma}_u_^+^ dissociative emission by the magnetic dipole and electric quadrupole, and the c^3^{Pi}_u_-a^3^{Sigma}_g_^+^-b^3^{Sigma}_u_^+^ cascade dissociative emission by the electric dipole are obtained. The predissociation of the c^3^{Pi}_u_^+^ and c^3^{Pi}_u_^-^ states both produce H(1s) atoms with an average Ek of ~4.1eV/atom, while the c^3^{Pi}_u_^-^-b^3^{Sigma}_u_^+^ dissociative emissions by the magnetic dipole and electric quadrupole give an average Ek of ~1.0 and ~0.8eV/atom, respectively. The c^3^{Pi}_u_-a^3^{Sigma}_g_^+^-b^3^{Sigma}_u_^+^ cascade and dissociative emission gives an average Ek of ~1.3 eV/atom. On average, each H_2_ excited to the c^3^{Pi}_u_ state in an H_2_-dominated atmosphere deposits ~7.1eV into the atmosphere while each H_2_ directly excited to the a^3^{Sigma}_g_^+^ and d^3^{Pi}_u_ states contribute ~2.3 and ~3.3eV, respectively, to the atmosphere. The spectral distribution of the calculated continuum emission arising from the X^1^{Sigma}_g_^+^-c^3^{Pi}_u_ excitation is significantly different from that of direct a^3^{Sigma}_g_^+^ or d^3^{Pi}_u_ excitations.</description><source format="bibcode">2017ApJS..232...19L</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/ApJS/232/19</referenceURL><type>Catalog</type><contentLevel>Research</contentLevel><relationship><relationshipType>IsServedBy</relationshipType><relatedResource ivo-id="ivo://CDS.VizieR/TAP">TAP VizieR generic service</relatedResource></relationship><relationship><relationshipType>related-to</relationshipType><relatedResource ivo-id="ivo://CDS.VizieR/J/ApJ/818/120">J/ApJ/818/120 : H_2_ d^3^{Pi}_u_ excitation by electron impact (Liu+, 2016)</relatedResource></relationship></content><rights>https://cds.unistra.fr/vizier-org/licences_vizier.html</rights><capability><interface xsi:type="vr:WebBrowser"><accessURL use="full">https://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/ApJS/232/19</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/ApJS/232/19</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/ApJS/232/19</mirrorURL></interface></capability><capability><interface xsi:type="vs:ParamHTTP"><accessURL use="base">https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/ApJS/232/19</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/votable?-source=J/ApJS/232/19</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/ApJS/232/19</mirrorURL><queryType>GET</queryType><resultType>text/xml+votable</resultType></interface></capability><capability standardID="ivo://ivoa.net/std/TAP#aux"><interface xsi:type="vs:ParamHTTP" role="std"><accessURL use="base">https://tapvizier.cds.unistra.fr/TAPVizieR/tap</accessURL></interface></capability><coverage><footprint ivo-id="ivo://ivoa.net/std/moc"/></coverage><tableset><schema><name>default</name><table><name>J/ApJS/232/19/table4</name><description>Non-adiabatic transition energies and vibrational overlap integrals of the X^1^{Sigma}_g_^+^(v_i_,N_i_)-c^3^{Pi}_u_(v_j_,N_j_)</description><column><name>Ni</name><description>[0/15] The c rotational state</description><ucd>phys.mol.qn</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>recno</name><description>Record number assigned by the VizieR team. Should Not be used for identification.</description><ucd>meta.record</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>vj</name><description>[0/21] The X vibrational state</description><ucd>phys.mol.qn</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Nj</name><description>[1/17] The X rotational state</description><ucd>phys.mol.qn</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>vi</name><description>[0] The c vibrational state</description><ucd>phys.mol.qn</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Eij</name><description>[87724/118377] Transition energy</description><unit>cm**-1</unit><ucd>phys.energy;phys.atmol.transition</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>VOI</name><description>[-0.5/0.5] Vibrational Overlap Integral (1)</description><ucd>phys.mol.qn</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column></table><table><name>J/ApJS/232/19/table5</name><description>Energies, transition frequencies, transition probabilities and Franck-Condon Factors of the H_2_ a^3^{Sigma}_g_^+^-c^3^{Pi}_u_^-^ band systems</description><column><name>recno</name><description>Record number assigned by the VizieR team. Should Not be used for identification.</description><ucd>meta.record</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>N1</name><description>[1/15] Upper rotational level</description><ucd>phys.mol.qn</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>N0</name><description>[1/15] Lower rotational level</description><ucd>phys.mol.qn</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>v1</name><description>[0/21] Upper vibrational state</description><ucd>phys.mol.qn</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>v0</name><description>[0/20] Lower vibrational state</description><ucd>phys.mol.qn</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Elow</name><description>[94941/118377] Lower state energy</description><unit>cm**-1</unit><ucd>phys.energy</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Ea-Ec</name><description>[-23233.5/23432.2] Transition frequency (1)</description><unit>cm**-1</unit><ucd>em.freq;phys.atmol.transition</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>A</name><description>[/94299] Transition probability (2)</description><unit>s**-1</unit><ucd>phys.atmol.transProb</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>FCF</name><description>[/1] Franck-Condon factor (FCF=|&lt;v1,N1|v0,N0&gt;|^2^)</description><ucd>phys.atmol</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column></table><table><name>J/ApJS/232/19/table7</name><description>Predissociation rates, kinetic energy release, and FCFs of the c^3^{Pi}_u_^+^(v,N) levels</description><column><name>recno</name><description>Record number assigned by the VizieR team. Should Not be used for identification.</description><ucd>meta.record</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>v</name><description>[0/21] The v vibrational state</description><ucd>phys.mol.qn</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>N</name><description>[1/15] The N rotational level</description><ucd>phys.mol.qn</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Width</name><description>[0.0004/3.5] Predissociation width</description><unit>cm**-1</unit><ucd>phys.atmol</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Rate</name><description>Predissociation rate</description><unit>s**-1</unit><ucd>phys.atmol.transProb</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Ek</name><description>[7.2/10.2] Kenetic energy</description><unit>eV</unit><ucd>phys.energy;phys.atmol.level</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>FCF</name><description>Franck-Condon factor in units of 1/hartree; FCF=|&lt;c,v,N|b,Ek,N&gt;|^2^</description><ucd>phys.atmol</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column></table><table><name>J/ApJS/232/19/table8</name><description>Predissociation rates of the c^3^{Pi}_u_^-^ (v,N,J) levels</description><column><name>recno</name><description>Record number assigned by the VizieR team. Should Not be used for identification.</description><ucd>meta.record</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>v</name><description>[0/6] The v vibrational state</description><ucd>phys.mol.qn</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>N</name><description>[1/15] The N rotational level</description><ucd>phys.mol.qn</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>F1</name><description>[3/2447] F_1_ fine structure predissociation rate</description><unit>s**-1</unit><ucd>phys.energy;phys.atmol.level;arith.diff</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>F2</name><description>[243/270505] F_2_ fine structure predissociation rate</description><unit>s**-1</unit><ucd>phys.energy;phys.atmol.level;arith.diff</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>F3</name><description>[2/1073]? 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Should Not be used for identification.</description><ucd>meta.record</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>ID</name><description>Calculation identifier (1)</description><ucd>phys.atmol.element</ucd><dataType xsi:type="vs:VOTableType" arraysize="2*">char</dataType></column><column><name>v</name><description>[0/10] The v vibrational state</description><ucd>phys.mol.qn</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Eng-N1</name><description>[94941/113080] Calculated energy for N=1 rotational level</description><unit>cm**-1</unit><ucd>phys.energy;phys.atmol.level</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Eng-N2</name><description>Calculated energy for N=2 rotational level</description><unit>cm**-1</unit><ucd>phys.energy;phys.atmol.level</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Eng-N3</name><description>Calculated energy for N=3 rotational level</description><unit>cm**-1</unit><ucd>phys.energy;phys.atmol.level</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Eng-N4</name><description>Calculated energy for N=4 rotational level</description><unit>cm**-1</unit><ucd>phys.energy;phys.atmol.level</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Eng-N5</name><description>Calculated energy for N=5 rotational level</description><unit>cm**-1</unit><ucd>phys.energy;phys.atmol.level</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Eng-N6</name><description>Calculated energy for N=6 rotational level</description><unit>cm**-1</unit><ucd>phys.energy;phys.atmol.level</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Eng-N7</name><description>Calculated energy for N=7 rotational level</description><unit>cm**-1</unit><ucd>phys.energy;phys.atmol.level</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Eng-N8</name><description>Calculated energy for N=8 rotational level</description><unit>cm**-1</unit><ucd>phys.energy;phys.atmol.level</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Eng-N9</name><description>Calculated energy for N=9 rotational level</description><unit>cm**-1</unit><ucd>phys.energy;phys.atmol.level</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Eng-N10</name><description>Calculated energy for N=10 rotational level</description><unit>cm**-1</unit><ucd>phys.energy;phys.atmol.level</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Eng-N11</name><description>Calculated energy for N=11 rotational level</description><unit>cm**-1</unit><ucd>phys.energy;phys.atmol.level</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Eng-N12</name><description>Calculated energy for N=12 rotational level</description><unit>cm**-1</unit><ucd>phys.energy;phys.atmol.level</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Eng-N13</name><description>Calculated energy for N=13 rotational level</description><unit>cm**-1</unit><ucd>phys.energy;phys.atmol.level</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Eng-N14</name><description>Calculated energy for N=14 rotational level</description><unit>cm**-1</unit><ucd>phys.energy;phys.atmol.level</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Eng-N15</name><description>[98600/116384] Calculated energy for N=15 rotational level</description><unit>cm**-1</unit><ucd>phys.energy;phys.atmol.level</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column></table></schema></tableset></ri:Resource>