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<ri:Resource created="2026-09-01T08:15:06Z" status="active" updated="2026-09-01T07:15:31Z" 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>TiO i^1^{Pi}-a^1^{Delta} system in stellar spectra</title><shortName>J/A+A/713/A13</shortName><identifier>ivo://CDS.VizieR/J/A+A/713/A13</identifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>Schmidt M.R.</name></creator><date role="Updated">2026-09-01T07:15:31Z</date><date role="Created">2026-09-01T08:15:06Z</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>Titanium monoxide plays an important role in determining the atmospheric structure of M-type stars and in shaping the visible part of their spectra. The precision of synthetic spectra when confronted with high-resolution observations depends on the completeness of the included transitions and on the accuracy of line positions and line intensities. We aim to systematically assess the quality of synthetic spectra computed with up-to-date TiO line lists by comparing them with high-resolution, high signal-to-noise spectra of cool stars calibrated in absolute or relative flux. We compute synthetic spectra for late-type M giants and identify systematic discrepancies in the wavelength range 5810-5850{AA}. To investigate the origin of these discrepancies, we analyse experimental TiO absorption cross-sections. We report the detection of a molecular band of the singlet system ^1^{Pi^-a^1^{Delta} of the TiO, with an R-head located at 5814.8{AA}, overlapping the 1-3 band of the {alpha} (C^3^{Delta}-X^3^{Delta}) system. The lower state of the band is identified as the a^1^{Delta} v"=0 state, while the upper state is most likely the ^1^{Pi} in its ground vibrational state. The empirical band intensity is derived by comparing the relative strengths of neighbouring bands from the C^3^{Delta}-X^3^{Delta} and B^3^{Pi}^-X^3^{Delta} systems in the experimental cross-section. The band intensity is further validated by synthetic spectrum calculations for the late-type giant 30 Her (M6 III) and comparison with its observed spectrum from the MELCHIORS library. The i^1^{Pi} (optionally 2^1^{Pi}) electronic state has been predicted by theoretical calculations. While energies of two vibrationally excited states were previously inferred from de-perturbation analyses of the {alpha} system, accurate spectroscopic constants for this electronic state were lacking. The newly identified band is sufficiently strong to affect the flux distribution in the spectra of cool stars.</description><source format="bibcode">2026A&amp;A...713A..13S</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+A/713/A13</referenceURL><type>Catalog</type><contentLevel>Research</contentLevel><relationship><relationshipType>IsServedBy</relationshipType><relatedResource ivo-id="ivo://CDS.VizieR/TAP">TAP VizieR generic service</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/713/A13</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/A+A/713/A13</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/A+A/713/A13</mirrorURL></interface></capability><capability><interface xsi:type="vs:ParamHTTP"><accessURL use="base">https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/A+A/713/A13</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/votable?-source=J/A+A/713/A13</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/A+A/713/A13</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/713/A13/table1</name><description>Lines and residuals for the TiO i^1^{Pi} - a^1^{Delta} transition</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>J'</name><description>Total angular momentum of upper state</description><ucd>phys.angMomentum</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>P'</name><description>Upper state e/f parity</description><ucd>phys.atmol.parity</ucd><dataType xsi:type="vs:VOTableType" arraysize="1*">char</dataType></column><column><name>J''</name><description>Total angular momentum of lower state</description><ucd>phys.mol.qn</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>P''</name><description>Lower state e/f parity</description><ucd>phys.atmol.parity</ucd><dataType xsi:type="vs:VOTableType" arraysize="1*">char</dataType></column><column><name>Obs</name><description>Observed line position, cm^-1^</description><unit>cm**-1</unit><ucd>em.wl</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Calc</name><description>Calculated line position, cm^-1^</description><unit>cm**-1</unit><ucd>em.wl</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>O-C</name><description>Observed - calculated value, cm^-1^</description><unit>cm**-1</unit><ucd>stat.fit.residual</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Line</name><description>Line assignment (1)</description><ucd>meta.id;spect.line</ucd><dataType xsi:type="vs:VOTableType" arraysize="52*">char</dataType></column></table><table><name>J/A+A/713/A13/table3</name><description>PGOPHER line list for TiO i^1^{Pi} - a^1^{Delta} transition</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>J'</name><description>Total angular momentum of upper state</description><ucd>phys.angMomentum</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>P'</name><description>Upper state e/f parity</description><ucd>phys.atmol.parity</ucd><dataType xsi:type="vs:VOTableType" arraysize="1*">char</dataType></column><column><name>J''</name><description>Total angular momentum of lower state</description><ucd>phys.mol.qn</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>P''</name><description>Lower state e/f parity</description><ucd>phys.atmol.parity</ucd><dataType xsi:type="vs:VOTableType" arraysize="1*">char</dataType></column><column><name>Pos</name><description>Calculated line position, cm^-1^</description><unit>cm**-1</unit><ucd>em.wl</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Eup</name><description>Upper state energy level, cm^-1^</description><unit>cm**-1</unit><ucd>phys.energy;phys.atmol.level</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Elo</name><description>Lower state energy level, cm^-1^</description><unit>cm**-1</unit><ucd>phys.energy;phys.atmol.level</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>A</name><description>Einstein A value, s^-1^</description><unit>s**-1</unit><ucd>phys.atmol.transProb</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>f</name><description>Oscillator strength</description><ucd>phys.atmol.oscStrength</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Line</name><description>Line assignment (1)</description><ucd>meta.id;spect.line</ucd><dataType xsi:type="vs:VOTableType" arraysize="57*">char</dataType></column></table></schema></tableset></ri:Resource>