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<ri:Resource created="1998-03-15T15:50:46Z" 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>Relativistic Free-Free Gaunt Factor</title><shortName>J/ApJS/63/661</shortName><identifier>ivo://CDS.VizieR/J/ApJS/63/661</identifier><altIdentifier>doi:10.26093/cds/vizier.20630661</altIdentifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>Nakagawa M.</name></creator><creator><name>Kohyama Y.</name></creator><creator><name>Itoh N.</name></creator><date role="Updated">1998-03-15T14:51:12Z</date><date role="Created">1998-03-15T15:50:46Z</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><subject>stellar-atmospheric-opacity</subject><description>The free-free Gaunt factor of the dense high-temperature stellar plasma is calculated by using the accurate relativistic cross section and is compared with the Gaunt factor derived by using Sommerfeld's exact nonrelativistic cross section. A wide range of electron degeneracy is accurately taken into account. Significant deviations from the nonrelativistic results are found for high-temperature cases. Results are presented in the form of extensive tables to facilitate applications.</description><source format="bibcode">1987ApJS...63..661N</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/ApJS/63/661</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/382/636">J/ApJ/382/636 : Rosseland mean free-free Gaunt factor (Itoh+ 1991)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/ApJS/74/291">J/ApJS/74/291 : Relativistic Free-Free Gaunt Factor. II. 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Gaunt factor, log({gamma}^2^)= -1.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-1.0</name><description>? Gaunt factor, log({gamma}^2^)= -1.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-0.5</name><description>? Gaunt factor, log({gamma}^2^)= -0.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G+0.0</name><description>? Gaunt factor, log({gamma}^2^)= 0.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G+0.5</name><description>? Gaunt factor, log({gamma}^2^)= 0.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G+1.0</name><description>? Gaunt factor, log({gamma}^2^)= 1.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G+2.0</name><description>? Gaunt factor, log({gamma}^2^)= 2.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column></table><table><name>J/ApJS/63/661/table7</name><description>&lt;&lt;g_ff&gt;&gt;, degeneracy parameter {eta}= 5.0</description><column><name>G-3.0</name><description>? Gaunt factor, log({gamma}^2^)= -3.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></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>Logu</name><description>*Log u, u=(h_bar_*{omega})/kT</description><ucd>phys.energy</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Elem</name><description>*Element for Gaunt factor calculation</description><ucd>phys.atmol.element</ucd><dataType xsi:type="vs:VOTableType" arraysize="2*">char</dataType></column><column><name>G-4.0</name><description>? Gaunt factor, log({gamma}^2^)= -4.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-3.5</name><description>? Gaunt factor, log({gamma}^2^)= -3.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-2.5</name><description>? Gaunt factor, log({gamma}^2^)= -2.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-2.0</name><description>? Gaunt factor, log({gamma}^2^)= -2.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-1.5</name><description>? Gaunt factor, log({gamma}^2^)= -1.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-1.0</name><description>? Gaunt factor, log({gamma}^2^)= -1.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-0.5</name><description>? Gaunt factor, log({gamma}^2^)= -0.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G+0.0</name><description>? Gaunt factor, log({gamma}^2^)= 0.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G+0.5</name><description>? Gaunt factor, log({gamma}^2^)= 0.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G+1.0</name><description>? Gaunt factor, log({gamma}^2^)= 1.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G+2.0</name><description>? Gaunt factor, log({gamma}^2^)= 2.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column></table><table><name>J/ApJS/63/661/table8</name><description>&lt;&lt;g_ff&gt;&gt;, degeneracy parameter {eta}=10.0</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>Logu</name><description>*Log u, u=(h_bar_*{omega})/kT</description><ucd>phys.energy</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Elem</name><description>*Element for Gaunt factor calculation</description><ucd>phys.atmol.element</ucd><dataType xsi:type="vs:VOTableType" arraysize="2*">char</dataType></column><column><name>G-4.0</name><description>? Gaunt factor, log({gamma}^2^)= -4.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-3.5</name><description>? Gaunt factor, log({gamma}^2^)= -3.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-3.0</name><description>? Gaunt factor, log({gamma}^2^)= -3.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-2.5</name><description>? Gaunt factor, log({gamma}^2^)= -2.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-2.0</name><description>? Gaunt factor, log({gamma}^2^)= -2.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-1.5</name><description>? Gaunt factor, log({gamma}^2^)= -1.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-1.0</name><description>? Gaunt factor, log({gamma}^2^)= -1.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-0.5</name><description>? Gaunt factor, log({gamma}^2^)= -0.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G+0.0</name><description>? Gaunt factor, log({gamma}^2^)= 0.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G+0.5</name><description>? Gaunt factor, log({gamma}^2^)= 0.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G+1.0</name><description>? Gaunt factor, log({gamma}^2^)= 1.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G+2.0</name><description>? Gaunt factor, log({gamma}^2^)= 2.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column></table><table><name>J/ApJS/63/661/table9</name><description>&lt;&lt;g_ff&gt;&gt;, degeneracy parameter {eta}=20.0</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>Logu</name><description>*Log u, u=(h_bar_*{omega})/kT</description><ucd>phys.energy</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Elem</name><description>*Element for Gaunt factor calculation</description><ucd>phys.atmol.element</ucd><dataType xsi:type="vs:VOTableType" arraysize="2*">char</dataType></column><column><name>G-4.0</name><description>? Gaunt factor, log({gamma}^2^)= -4.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-3.5</name><description>? Gaunt factor, log({gamma}^2^)= -3.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-3.0</name><description>? Gaunt factor, log({gamma}^2^)= -3.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-2.5</name><description>? Gaunt factor, log({gamma}^2^)= -2.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-2.0</name><description>? Gaunt factor, log({gamma}^2^)= -2.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-1.5</name><description>? Gaunt factor, log({gamma}^2^)= -1.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-1.0</name><description>? Gaunt factor, log({gamma}^2^)= -1.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-0.5</name><description>? Gaunt factor, log({gamma}^2^)= -0.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G+0.0</name><description>? Gaunt factor, log({gamma}^2^)= 0.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G+0.5</name><description>? Gaunt factor, log({gamma}^2^)= 0.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G+1.0</name><description>? Gaunt factor, log({gamma}^2^)= 1.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G+2.0</name><description>? Gaunt factor, log({gamma}^2^)= 2.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column></table><table><name>J/ApJS/63/661/table10</name><description>&lt;&lt;g_ff&gt;&gt;, degeneracy parameter {eta}=40.0</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>Logu</name><description>*Log u, u=(h_bar_*{omega})/kT</description><ucd>phys.energy</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Elem</name><description>*Element for Gaunt factor calculation</description><ucd>phys.atmol.element</ucd><dataType xsi:type="vs:VOTableType" arraysize="2*">char</dataType></column><column><name>G-4.0</name><description>? Gaunt factor, log({gamma}^2^)= -4.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-3.5</name><description>? Gaunt factor, log({gamma}^2^)= -3.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-3.0</name><description>? Gaunt factor, log({gamma}^2^)= -3.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-2.5</name><description>? Gaunt factor, log({gamma}^2^)= -2.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-2.0</name><description>? Gaunt factor, log({gamma}^2^)= -2.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-1.5</name><description>? Gaunt factor, log({gamma}^2^)= -1.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-1.0</name><description>? Gaunt factor, log({gamma}^2^)= -1.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G-0.5</name><description>? Gaunt factor, log({gamma}^2^)= -0.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G+0.0</name><description>? Gaunt factor, log({gamma}^2^)= 0.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G+0.5</name><description>? Gaunt factor, log({gamma}^2^)= 0.5</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G+1.0</name><description>? Gaunt factor, log({gamma}^2^)= 1.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>G+2.0</name><description>? Gaunt factor, log({gamma}^2^)= 2.0</description><ucd>phys.gauntFactor</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column></table></schema></tableset></ri:Resource>