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<ri:Resource created="2018-10-08T13:30:31Z" status="active" updated="2025-06-13T15:25:00Z" 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>Limb-darkening for TESS, Kepler, Corot, MOST</title><shortName>J/A+A/618/A20</shortName><identifier>ivo://CDS.VizieR/J/A+A/618/A20</identifier><altIdentifier>doi:10.26093/cds/vizier.36180020</altIdentifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>Claret A.</name></creator><date role="Updated">2019-04-18T11:24:15Z</date><date role="Created">2018-10-08T13:30:31Z</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>astronomical-models</subject><subject>stellar-atmospheres</subject><subject>photometry</subject><description>One of the biggest problems we can encounter while dealing with the limb-darkening coefficients for stellar atmospheric models with spherical symmetry is the difficulty of adjusting both the limb and the central parts simultaneously. In particular, the regions near the drop-offs are not well reproduced for most models, depending on Teff, log g, or wavelength. Even if the law with four terms is used, these disagreements still persist. Here we introduce a new method that considerably improves the description of both the limb and the central parts and that will allow users to test models of stellar atmospheres with spherical symmetry more accurately in environments such as exoplanetary transits, eclipsing binaries, etc.</description><source format="bibcode">2018A&amp;A...618A..20C</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+A/618/A20</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/A+A/363/1081">J/A+A/363/1081 : Non-linear limb-darkening law for LTE models (Claret, 2000)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/529/A75">J/A+A/529/A75 : Limb-darkening coefficients (Claret+, 2011)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/546/A14">J/A+A/546/A14 : Limb-darkening for CoRoT, Kepler, Spitzer (Claret+, 2012)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/600/A30">J/A+A/600/A30 : Limb-darkening for TESS satellite (Claret, 2017)</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/A+A/618/A20</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/A+A/618/A20</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/A+A/618/A20</mirrorURL></interface></capability><capability><interface xsi:type="vs:ParamHTTP"><accessURL use="base">https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/A+A/618/A20</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/votable?-source=J/A+A/618/A20</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/A+A/618/A20</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/A+A/618/A20/TESSq</name><description>a,b quadratic LDCs, PHOENIX models for TESS</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>logg</name><description>[2.5/6.0] Surface gravity</description><unit>cm.s**-2</unit><ucd>phys.gravity</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Teff</name><description>[1500/12000] Effective temperature</description><unit>K</unit><ucd>phys.temperature.effective</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Z</name><description>[0] Metallicity (log[M/H])</description><ucd>phys.abund.Z</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>L/HP</name><description>[2] Mixing-length parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>a</name><description>Eq.2 spherical linear limb darkening coefficient a (FSM) (2)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>b</name><description>Eq.2 spherical linear limb darkening coefficient b (FSM) (2)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>mu</name><description>MU_CRI_ parameter (FSM)</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>chi2</name><description>SQRT(CHI2Q) (FSM)</description><ucd>stat.fit.chi2</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Mod</name><description>[PD PC] Model name (G1)</description><ucd>meta.id;stat.param;meta.modelled</ucd><dataType xsi:type="vs:VOTableType" arraysize="2*">char</dataType></column><column><name>Sys</name><description>System (TESS, KEPLER, COROT or MOST)</description><ucd>meta.id</ucd><dataType xsi:type="vs:VOTableType" arraysize="6*">char</dataType></column></table><table><name>J/A+A/618/A20/COROTa</name><description>a_1_,a_2_,a_3_,a_4_ LDCs, PHOENIX models for COROT</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>logg</name><description>[2.5/6.0] Surface gravity</description><unit>cm.s**-2</unit><ucd>phys.gravity</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Teff</name><description>[1500/12000] Effective temperature</description><unit>K</unit><ucd>phys.temperature.effective</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Z</name><description>[0] Metallicity (log[M/H])</description><ucd>phys.abund.Z</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>L/HP</name><description>[2] Mixing-length parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>a1</name><description>Eq. 1 spherical linear limb darkening coefficient a1 (FSM) (1)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>a2</name><description>Eq. 1 spherical linear limb darkening coefficient a2 (FSM) (1)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>a3</name><description>Eq. 1 spherical linear limb darkening coefficient a3 (FSM) (1)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>a4</name><description>Eq. 1 spherical linear limb darkening coefficient a4 (FSM) (1)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>mu</name><description>MU_CRI_ parameter (FSM)</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>chi2</name><description>SQRT(CHI2Q) (FSM)</description><ucd>stat.fit.chi2</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Mod</name><description>[PD PC] Model name (G1)</description><ucd>meta.id;stat.param;meta.modelled</ucd><dataType xsi:type="vs:VOTableType" arraysize="2*">char</dataType></column><column><name>Sys</name><description>System (TESS, KEPLER, COROT or MOST)</description><ucd>meta.id</ucd><dataType xsi:type="vs:VOTableType" arraysize="6*">char</dataType></column></table><table><name>J/A+A/618/A20/MOSTa</name><description>a_1_,a_2_,a_3_,a_4_ LDCs, PHOENIX models for MOST</description><column><name>mu</name><description>MU_CRI_ parameter (FSM)</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</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>logg</name><description>[2.5/6.0] Surface gravity</description><unit>cm.s**-2</unit><ucd>phys.gravity</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Teff</name><description>[1500/12000] Effective temperature</description><unit>K</unit><ucd>phys.temperature.effective</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Z</name><description>[0] Metallicity (log[M/H])</description><ucd>phys.abund.Z</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>L/HP</name><description>[2] Mixing-length parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>a1</name><description>Eq. 1 spherical linear limb darkening coefficient a1 (FSM) (1)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>a2</name><description>Eq. 1 spherical linear limb darkening coefficient a2 (FSM) (1)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>a3</name><description>Eq. 1 spherical linear limb darkening coefficient a3 (FSM) (1)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>a4</name><description>Eq. 1 spherical linear limb darkening coefficient a4 (FSM) (1)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>chi2</name><description>SQRT(CHI2Q) (FSM)</description><ucd>stat.fit.chi2</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Mod</name><description>[PD PC] Model name (G1)</description><ucd>meta.id;stat.param;meta.modelled</ucd><dataType xsi:type="vs:VOTableType" arraysize="2*">char</dataType></column><column><name>Sys</name><description>System (TESS, KEPLER, COROT or MOST)</description><ucd>meta.id</ucd><dataType xsi:type="vs:VOTableType" arraysize="6*">char</dataType></column></table><table><name>J/A+A/618/A20/MOSTq</name><description>a,b quadratic LDCs, PHOENIX models for MOST</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>logg</name><description>[2.5/6.0] Surface gravity</description><unit>cm.s**-2</unit><ucd>phys.gravity</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Teff</name><description>[1500/12000] Effective temperature</description><unit>K</unit><ucd>phys.temperature.effective</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Z</name><description>[0] Metallicity (log[M/H])</description><ucd>phys.abund.Z</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>L/HP</name><description>[2] Mixing-length parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>a</name><description>Eq.2 spherical linear limb darkening coefficient a (FSM) (2)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>b</name><description>Eq.2 spherical linear limb darkening coefficient b (FSM) (2)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>mu</name><description>MU_CRI_ parameter (FSM)</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>chi2</name><description>SQRT(CHI2Q) (FSM)</description><ucd>stat.fit.chi2</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Mod</name><description>[PD PC] Model name (G1)</description><ucd>meta.id;stat.param;meta.modelled</ucd><dataType xsi:type="vs:VOTableType" arraysize="2*">char</dataType></column><column><name>Sys</name><description>System (TESS, KEPLER, COROT or MOST)</description><ucd>meta.id</ucd><dataType xsi:type="vs:VOTableType" arraysize="6*">char</dataType></column></table><table><name>J/A+A/618/A20/TESSa</name><description>a_1_,a_2_,a_3_,a_4_ LDCs, PHOENIX models for TESS</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>logg</name><description>[2.5/6.0] Surface gravity</description><unit>cm.s**-2</unit><ucd>phys.gravity</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Teff</name><description>[1500/12000] Effective temperature</description><unit>K</unit><ucd>phys.temperature.effective</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Z</name><description>[0] Metallicity (log[M/H])</description><ucd>phys.abund.Z</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>L/HP</name><description>[2] Mixing-length parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>a1</name><description>Eq. 1 spherical linear limb darkening coefficient a1 (FSM) (1)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>a2</name><description>Eq. 1 spherical linear limb darkening coefficient a2 (FSM) (1)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>a3</name><description>Eq. 1 spherical linear limb darkening coefficient a3 (FSM) (1)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>a4</name><description>Eq. 1 spherical linear limb darkening coefficient a4 (FSM) (1)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>mu</name><description>MU_CRI_ parameter (FSM)</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>chi2</name><description>SQRT(CHI2Q) (FSM)</description><ucd>stat.fit.chi2</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Mod</name><description>[PD PC] Model name (G1)</description><ucd>meta.id;stat.param;meta.modelled</ucd><dataType xsi:type="vs:VOTableType" arraysize="2*">char</dataType></column><column><name>Sys</name><description>System (TESS, KEPLER, COROT or MOST)</description><ucd>meta.id</ucd><dataType xsi:type="vs:VOTableType" arraysize="6*">char</dataType></column></table><table><name>J/A+A/618/A20/KEPLERa</name><description>a_1_,a_2_,a_3_,a_4_ LDCs, PHOENIX models for KEPLER</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>logg</name><description>[2.5/6.0] Surface gravity</description><unit>cm.s**-2</unit><ucd>phys.gravity</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Teff</name><description>[1500/12000] Effective temperature</description><unit>K</unit><ucd>phys.temperature.effective</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Z</name><description>[0] Metallicity (log[M/H])</description><ucd>phys.abund.Z</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>L/HP</name><description>[2] Mixing-length parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>a1</name><description>Eq. 1 spherical linear limb darkening coefficient a1 (FSM) (1)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>a2</name><description>Eq. 1 spherical linear limb darkening coefficient a2 (FSM) (1)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>a3</name><description>Eq. 1 spherical linear limb darkening coefficient a3 (FSM) (1)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>a4</name><description>Eq. 1 spherical linear limb darkening coefficient a4 (FSM) (1)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>mu</name><description>MU_CRI_ parameter (FSM)</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>chi2</name><description>SQRT(CHI2Q) (FSM)</description><ucd>stat.fit.chi2</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Mod</name><description>[PD PC] Model name (G1)</description><ucd>meta.id;stat.param;meta.modelled</ucd><dataType xsi:type="vs:VOTableType" arraysize="2*">char</dataType></column><column><name>Sys</name><description>System (TESS, KEPLER, COROT or MOST)</description><ucd>meta.id</ucd><dataType xsi:type="vs:VOTableType" arraysize="6*">char</dataType></column></table><table><name>J/A+A/618/A20/KEPLERq</name><description>a,b quadratic LDCs, PHOENIX models for KEPLER</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>logg</name><description>[2.5/6.0] Surface gravity</description><unit>cm.s**-2</unit><ucd>phys.gravity</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Teff</name><description>[1500/12000] Effective temperature</description><unit>K</unit><ucd>phys.temperature.effective</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Z</name><description>[0] Metallicity (log[M/H])</description><ucd>phys.abund.Z</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>L/HP</name><description>[2] Mixing-length parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>a</name><description>Eq.2 spherical linear limb darkening coefficient a (FSM) (2)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>b</name><description>Eq.2 spherical linear limb darkening coefficient b (FSM) (2)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>mu</name><description>MU_CRI_ parameter (FSM)</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>chi2</name><description>SQRT(CHI2Q) (FSM)</description><ucd>stat.fit.chi2</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Mod</name><description>[PD PC] Model name (G1)</description><ucd>meta.id;stat.param;meta.modelled</ucd><dataType xsi:type="vs:VOTableType" arraysize="2*">char</dataType></column><column><name>Sys</name><description>System (TESS, KEPLER, COROT or MOST)</description><ucd>meta.id</ucd><dataType xsi:type="vs:VOTableType" arraysize="6*">char</dataType></column></table><table><name>J/A+A/618/A20/COROTq</name><description>a,b quadratic LDCs, PHOENIX models for COROT</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>logg</name><description>[2.5/6.0] Surface gravity</description><unit>cm.s**-2</unit><ucd>phys.gravity</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Teff</name><description>[1500/12000] Effective temperature</description><unit>K</unit><ucd>phys.temperature.effective</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Z</name><description>[0] Metallicity (log[M/H])</description><ucd>phys.abund.Z</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>L/HP</name><description>[2] Mixing-length parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>a</name><description>Eq.2 spherical linear limb darkening coefficient a (FSM) (2)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>b</name><description>Eq.2 spherical linear limb darkening coefficient b (FSM) (2)</description><ucd>phot.limbDark</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>mu</name><description>MU_CRI_ parameter (FSM)</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>chi2</name><description>SQRT(CHI2Q) (FSM)</description><ucd>stat.fit.chi2</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Mod</name><description>[PD PC] Model name (G1)</description><ucd>meta.id;stat.param;meta.modelled</ucd><dataType xsi:type="vs:VOTableType" arraysize="2*">char</dataType></column><column><name>Sys</name><description>System (TESS, KEPLER, COROT or MOST)</description><ucd>meta.id</ucd><dataType xsi:type="vs:VOTableType" arraysize="6*">char</dataType></column></table></schema></tableset></ri:Resource>