J/A+A/605/A102ivo://CDS.VizieR/J/A+A/605/A102doi:10.26093/cds/vizier.36050102CDSCharbonnel C.Decressin T.Lagarde N.Gallet F.Palacios A.,Auriere M.Konstantinova-Antova R.Mathis S.Anderson R.I.Dintrans B.2018-03-12T09:01:49Z2018-02-06T13:39:02ZCDS support team

CDS, Observatoire de Strasbourg, 11 rue de l'Universite, F-67000 Strasbourg, France

cds-question@unistra.frstellar-evolutionary-modelsRecent spectropolarimetric observations of otherwise ordinary (in terms e.g. of surface rotation and chemical properties) G, K, and M giants have revealed localized magnetic strips in the Hertzsprung-Russell diagram coincident with the regions where the first dredge-up and core helium burning occur. We seek to understand the origin of magnetic fields in such late-type giant stars, which is currently unexplained. In analogy with late-type dwarf stars, we focus primarily on parameters known to influence the generation of magnetic fields in the outer convective envelope. We compute the classical dynamo parameters along the evolutionary tracks of low- and intermediate-mass stars at various metallicities using stellar models that have been extensively tested by spectroscopic and asteroseismic observations. Specifically, these include convective turnover timescales and convective Rossby numbers, computed from the pre-main sequence (PMS) to the tip of the red giant branch (RGB) or the early asymptotic giant branch (AGB) phase. To investigate the effects of the very extended outer convective envelope, we compute these parameters both for the entire convective envelope and locally, that is, at different depths within the envelope. We also compute the turnover timescales and corresponding Rossby numbers for the convective cores of intermediate-mass stars on the main sequence. Our models show that the Rossby number of the convective envelope becomes lower than unity in the well-delimited locations of the Hertzsprung-Russell diagram where magnetic fields have indeed been detected. We show that {alpha}-{Omega} dynamo processes might not be continuously operating, but that they are favored in the stellar convective envelope at two specific moments along the evolution tracks, that is, during the first dredge-up at the base of the RGB and during central helium burning in the helium-burning phase and early-AGB. This general behavior can explain the so-called magnetic strips recently discovered by dedicated spectropolarimetric surveys of evolved stars.2017A&A...605A.102Chttps://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+A/605/A102CatalogResearchIsServedByTAP VizieR generic servicerelated-toJ/A+AS/101/415 : Grids of stellar models III. (Charbonnel+ 1993)J/A+AS/102/339 : Grids of stellar models IV (Schaerer+, 1993)J/A+AS/103/97 : Grids of stellar models V. (Meynet+ 1994)J/A+AS/115/339 : Stellar models VI. (Charbonnel+, 1996)J/A+AS/128/471 : Grids of stellar models. VII. (Mowlavi+ 1998)J/A+AS/135/405 : Grids of stellar models. VIII. (Charbonnel+ 1999)J/A+A/543/A108 : Grid of stellar models, asteroseismology (Lagarde+, 2012)J/A+A/537/A146 : Stellar models with rotation. 0.8<M<120, Z=0.014J/A+A/541/A41 : Basic tracks at Zinit=0.006 (Mowlavi+, 2012)J/A+A/558/A103 : Stellar models with rotation. 0.8<M<120, Z=0.002https://cds.unistra.fr/vizier-org/licences_vizier.htmlhttps://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/A+A/605/A102https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/A+A/605/A102http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/A+A/605/A102https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/A+A/605/A102https://vizier.iucaa.in/viz-bin/votable?-source=J/A+A/605/A102http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/A+A/605/A102GETtext/xml+votablehttps://tapvizier.cds.unistra.fr/TAPVizieR/tapdefaultJ/A+A/605/A102/z002Grid of stellar models for Z=0.002recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintZInitial Z abundancephys.atmol.initialfloatT[rs] s: standard prescriptions or r: th+rot prescriptionsmeta.codecharMass[0.85/6] Initial mass (0.85, 1.0, 1.5, 2.0, 2.5, 3.0, 4.0, 6.0)solMassphys.massfloatModModel numbermeta.id;meta.mainintLSurface luminositysolLumphys.luminositydoubleReffPhotospheric radiussolRadphys.size.radiusfloatTeffEffective temperatureKphys.temperature.effectiveintrhoeffPhotospheric densityg.cm**-3phys.densitydoublelog(g)Photospheric gravitylog(cm.s**-2)phys.gravitydoubleMlossMass-loss ratesolMass/yrphys.mass.lossdoubleMStellar masssolMassphys.massdoubletAgeyrtime.agedoubletchp/2Convective turnover timescale calculated at half of the pressure scale heightdtime.scaledoubletchpConvective turnover timescale calculated at the pressure scale heightdtime.scaledoubletcrconv/2Convective turnover timescale calculated at half of the radius of the convective envelopedtime.scaledoubletcmconv/2Convective turnover timescale calculated at half of the mass of the convective envelopedtime.scaledoubletcmaxMaximum convective turnover timescaledtime.scaledoubletgGlobal convective turnover timescaledtime.scaledoublerhp/2Radius at which tc_hp/2 was estimatedsolRadphys.size.radiusdoublerhpRadius at which tc_hp was estimatedsolRadphys.size.radiusdoublerrconv/2Radius at which tc_rconv/2 was estimatedsolRadphys.size.radiusdoublermconv/2Radius at which tc_mconv/2 was estimatedsolRadphys.size.radiusdoublermaxRadius at which tc_max was estimatedsolRadphys.size.radiusdoubleRohp/2Rossby number associated to tc_hp/2stat.paramdoubleRohpRossby number associated to tc_hpstat.paramdoubleRorconv/2Rossby number associated to tc_rconv/2stat.paramdoubleRomconv/2Rossby number associated to tc_mconv/2stat.paramdoubleRomaxRossby number associated to tc_maxstat.paramdoubleRogRossby number associated to tgstat.paramdoubleTcCentral temperatureKphys.temperaturedoubleTmaxMaximum of temperatureKphys.temperature;stat.maxdoubleMrTmaxMass coordinate of TmaxsolMassphys.massdoublerhocCentral densityg.cm**-3phys.densitydoublerhomaxDensity at the location of Tmaxg.cm**-3phys.densitydoublePcCentral pressure (cgs)dPaphys.pressuredoubleMbenvMass at the base of convective envelopesolMassphys.massdoubleXHcCentral abundance of H (mass fraction)phys.abund.XdoubleXHe3cCentral abundance of 3He (mass fraction)phys.abund.YdoubleXHe4cCentral abundance of 4He (mass fraction)phys.abund.YdoubleXC12cCentral abundance of 12C (mass fraction)phys.abunddoubleXC13cCentral abundance of 13C (mass fraction)phys.abunddoubleXC14cCentral abundance of 14C (mass fraction)phys.abunddoubleXN14cCentral abundance of 14N (mass fraction)phys.abunddoubleXO16cCentral abundance of 16O (mass fraction)phys.abunddoubleXO17cCentral abundance of 17O (mass fraction)phys.abunddoubleXO18cCentral abundance of 18O (mass fraction)phys.abunddoubleXF19cCentral abundance of 19F (mass fraction)phys.abunddoubleXNe20cCentral abundance of 20Ne (mass fraction)phys.abunddoubleXNe21cCentral abundance of 21Ne (mass fraction)phys.abunddoubleXNe22cCentral abundance of 22Ne (mass fraction)phys.abunddoubleXNa23cCentral abundance of 23Na (mass fraction)phys.abunddoubleXMg24cCentral abundance of 24Mg (mass fraction)phys.abunddoubleXMg25cCentral abundance of 25Mg (mass fraction)phys.abunddoubleXMg26cCentral abundance of 26Mg (mass fraction)phys.abunddoubleXAl26cCentral abundance of 26Al (mass fraction)phys.abunddoubleXAl27cCentral abundance of 27Al (mass fraction)phys.abunddoubleXSi28cCentral abundance of 28Si (mass fraction)phys.abunddoubleXHsSurface abundance of H (mass fraction)phys.abund.XdoubleXH2sSurface abundance of 2H (mass fraction)phys.abunddoubleXHe3sSurface abundance of 3He (mass fraction)phys.abund.YdoubleXHe4sSurface abundance of 4He (mass fraction)phys.abund.YdoubleXLi6sSurface abundance of 6Li (mass fraction)phys.abunddoubleXLi7sSurface abundance of 7Li (mass fraction)phys.abunddoubleXBe7sSurface abundance of 7Be (mass fraction)phys.abunddoubleXBe9sSurface abundance of 9Be (mass fraction)phys.abunddoubleXB10sSurface abundance of 10B (mass fraction)phys.abunddoubleXB11sSurface abundance of 11B (mass fraction)phys.abunddoubleXC12sSurface abundance of 12C (mass fraction)phys.abunddoubleXC13sSurface abundance of 13C (mass fraction)phys.abunddoubleXC14sSurface abundance of 14C (mass fraction)phys.abunddoubleXN14sSurface abundance of 14N (mass fraction)phys.abunddoubleXO16sSurface abundance of 16O (mass fraction)phys.abunddoubleXO17sSurface abundance of 17O (mass fraction)phys.abunddoubleXO18sSurface abundance of 18O (mass fraction)phys.abunddoubleXF19sSurface abundance of 19F (mass fraction)phys.abunddoubleXNe20sSurface abundance of 20Ne (mass fraction)phys.abunddoubleXNe21sSurface abundance of 21Ne (mass fraction)phys.abunddoubleXNe22sSurface abundance of 22Ne (mass fraction)phys.abunddoubleXNa23sSurface abundance of 23Na (mass fraction)phys.abunddoubleXMg24sSurface abundance of 24Mg (mass fraction)phys.abunddoubleXMg25sSurface abundance of 25Mg (mass fraction)phys.abunddoubleXMg26sSurface abundance of 26Mg (mass fraction)phys.abunddoubleXAl26sSurface abundance of 26Al (mass fraction)phys.abunddoubleXAl27sSurface abundance of 27Al (mass fraction)phys.abunddoubleXSi28sSurface abundance of 28Si (mass fraction)phys.abunddoubleJ/A+A/605/A102/z004Grid of stellar models for Z=0.004tAgeyrtime.agedoublerecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintZInitial Z abundancephys.atmol.initialfloatT[rs] s: standard prescriptions or r: th+rot prescriptionsmeta.codecharMass[0.85/6] Initial mass (0.85, 1.0, 1.5, 2.0, 2.5, 3.0, 4.0, 6.0)solMassphys.massfloatModModel numbermeta.id;meta.mainintLSurface luminositysolLumphys.luminositydoubleReffPhotospheric radiussolRadphys.size.radiusfloatTeffEffective temperatureKphys.temperature.effectiveintrhoeffPhotospheric densityg.cm**-3phys.densitydoublelog(g)Photospheric gravitylog(cm.s**-2)phys.gravitydoubleMlossMass-loss ratesolMass/yrphys.mass.lossdoubleMStellar masssolMassphys.massdoubletchp/2Convective turnover timescale calculated at half of the pressure scale heightdtime.scaledoubletchpConvective turnover timescale calculated at the pressure scale heightdtime.scaledoubletcrconv/2Convective turnover timescale calculated at half of the radius of the convective envelopedtime.scaledoubletcmconv/2Convective turnover timescale calculated at half of the mass of the convective envelopedtime.scaledoubletcmaxMaximum convective turnover timescaledtime.scaledoubletgGlobal convective turnover timescaledtime.scaledoublerhp/2Radius at which tc_hp/2 was estimatedsolRadphys.size.radiusdoublerhpRadius at which tc_hp was estimatedsolRadphys.size.radiusdoublerrconv/2Radius at which tc_rconv/2 was estimatedsolRadphys.size.radiusdoublermconv/2Radius at which tc_mconv/2 was estimatedsolRadphys.size.radiusdoublermaxRadius at which tc_max was estimatedsolRadphys.size.radiusdoubleRohp/2Rossby number associated to tc_hp/2stat.paramdoubleRohpRossby number associated to tc_hpstat.paramdoubleRorconv/2Rossby number associated to tc_rconv/2stat.paramdoubleRomconv/2Rossby number associated to tc_mconv/2stat.paramdoubleRomaxRossby number associated to tc_maxstat.paramdoubleRogRossby number associated to tgstat.paramdoubleTcCentral temperatureKphys.temperaturedoubleTmaxMaximum of temperatureKphys.temperature;stat.maxdoubleMrTmaxMass coordinate of TmaxsolMassphys.massdoublerhocCentral densityg.cm**-3phys.densitydoublerhomaxDensity at the location of Tmaxg.cm**-3phys.densitydoublePcCentral pressure (cgs)dPaphys.pressuredoubleMbenvMass at the base of convective envelopesolMassphys.massdoubleXHcCentral abundance of H (mass fraction)phys.abund.XdoubleXHe3cCentral abundance of 3He (mass fraction)phys.abund.YdoubleXHe4cCentral abundance of 4He (mass fraction)phys.abund.YdoubleXC12cCentral abundance of 12C (mass fraction)phys.abunddoubleXC13cCentral abundance of 13C (mass fraction)phys.abunddoubleXC14cCentral abundance of 14C (mass fraction)phys.abunddoubleXN14cCentral abundance of 14N (mass fraction)phys.abunddoubleXO16cCentral abundance of 16O (mass fraction)phys.abunddoubleXO17cCentral abundance of 17O (mass fraction)phys.abunddoubleXO18cCentral abundance of 18O (mass fraction)phys.abunddoubleXF19cCentral abundance of 19F (mass fraction)phys.abunddoubleXNe20cCentral abundance of 20Ne (mass fraction)phys.abunddoubleXNe21cCentral abundance of 21Ne (mass fraction)phys.abunddoubleXNe22cCentral abundance of 22Ne (mass fraction)phys.abunddoubleXNa23cCentral abundance of 23Na (mass fraction)phys.abunddoubleXMg24cCentral abundance of 24Mg (mass fraction)phys.abunddoubleXMg25cCentral abundance of 25Mg (mass fraction)phys.abunddoubleXMg26cCentral abundance of 26Mg (mass fraction)phys.abunddoubleXAl26cCentral abundance of 26Al (mass fraction)phys.abunddoubleXAl27cCentral abundance of 27Al (mass fraction)phys.abunddoubleXSi28cCentral abundance of 28Si (mass fraction)phys.abunddoubleXHsSurface abundance of H (mass fraction)phys.abund.XdoubleXH2sSurface abundance of 2H (mass fraction)phys.abunddoubleXHe3sSurface abundance of 3He (mass fraction)phys.abund.YdoubleXHe4sSurface abundance of 4He (mass fraction)phys.abund.YdoubleXLi6sSurface abundance of 6Li (mass fraction)phys.abunddoubleXLi7sSurface abundance of 7Li (mass fraction)phys.abunddoubleXBe7sSurface abundance of 7Be (mass fraction)phys.abunddoubleXBe9sSurface abundance of 9Be (mass fraction)phys.abunddoubleXB10sSurface abundance of 10B (mass fraction)phys.abunddoubleXB11sSurface abundance of 11B (mass fraction)phys.abunddoubleXC12sSurface abundance of 12C (mass fraction)phys.abunddoubleXC13sSurface abundance of 13C (mass fraction)phys.abunddoubleXC14sSurface abundance of 14C (mass fraction)phys.abunddoubleXN14sSurface abundance of 14N (mass fraction)phys.abunddoubleXO16sSurface abundance of 16O (mass fraction)phys.abunddoubleXO17sSurface abundance of 17O (mass fraction)phys.abunddoubleXO18sSurface abundance of 18O (mass fraction)phys.abunddoubleXF19sSurface abundance of 19F (mass fraction)phys.abunddoubleXNe20sSurface abundance of 20Ne (mass fraction)phys.abunddoubleXNe21sSurface abundance of 21Ne (mass fraction)phys.abunddoubleXNe22sSurface abundance of 22Ne (mass fraction)phys.abunddoubleXNa23sSurface abundance of 23Na (mass fraction)phys.abunddoubleXMg24sSurface abundance of 24Mg (mass fraction)phys.abunddoubleXMg25sSurface abundance of 25Mg (mass fraction)phys.abunddoubleXMg26sSurface abundance of 26Mg (mass fraction)phys.abunddoubleXAl26sSurface abundance of 26Al (mass fraction)phys.abunddoubleXAl27sSurface abundance of 27Al (mass fraction)phys.abunddoubleXSi28sSurface abundance of 28Si (mass fraction)phys.abunddoubleJ/A+A/605/A102/z0001Grid of stellar models for Z=0.0001TcCentral temperatureKphys.temperaturedoublerecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintZInitial Z abundancephys.atmol.initialfloatT[rs] s: standard prescriptions or r: th+rot prescriptionsmeta.codecharMass[0.85/6] Initial mass (0.85, 1.0, 1.5, 2.0, 2.5, 3.0, 4.0, 6.0)solMassphys.massfloatModModel numbermeta.id;meta.mainintLSurface luminositysolLumphys.luminositydoubleReffPhotospheric radiussolRadphys.size.radiusfloatTeffEffective temperatureKphys.temperature.effectiveintrhoeffPhotospheric densityg.cm**-3phys.densitydoublelog(g)Photospheric gravitylog(cm.s**-2)phys.gravitydoubleMlossMass-loss ratesolMass/yrphys.mass.lossdoubleMStellar masssolMassphys.massdoubletAgeyrtime.agedoubletchp/2Convective turnover timescale calculated at half of the pressure scale heightdtime.scaledoubletchpConvective turnover timescale calculated at the pressure scale heightdtime.scaledoubleXNa23sSurface abundance of 23Na (mass fraction)phys.abunddoubletcrconv/2Convective turnover timescale calculated at half of the radius of the convective envelopedtime.scaledoubletcmconv/2Convective turnover timescale calculated at half of the mass of the convective envelopedtime.scaledoubletcmaxMaximum convective turnover timescaledtime.scaledoubletgGlobal convective turnover timescaledtime.scaledoublerhp/2Radius at which tc_hp/2 was estimatedsolRadphys.size.radiusdoublerhpRadius at which tc_hp was estimatedsolRadphys.size.radiusdoublerrconv/2Radius at which tc_rconv/2 was estimatedsolRadphys.size.radiusdoublermconv/2Radius at which tc_mconv/2 was estimatedsolRadphys.size.radiusdoublermaxRadius at which tc_max was estimatedsolRadphys.size.radiusdoubleRohp/2Rossby number associated to tc_hp/2stat.paramdoubleRohpRossby number associated to tc_hpstat.paramdoubleRorconv/2Rossby number associated to tc_rconv/2stat.paramdoubleRomconv/2Rossby number associated to tc_mconv/2stat.paramdoubleRomaxRossby number associated to tc_maxstat.paramdoubleRogRossby number associated to tgstat.paramdoubleTmaxMaximum of temperatureKphys.temperature;stat.maxdoubleMrTmaxMass coordinate of TmaxsolMassphys.massdoublerhocCentral densityg.cm**-3phys.densitydoublerhomaxDensity at the location of Tmaxg.cm**-3phys.densitydoublePcCentral pressure (cgs)dPaphys.pressuredoubleMbenvMass at the base of convective envelopesolMassphys.massdoubleXHcCentral abundance of H (mass fraction)phys.abund.XdoubleXHe3cCentral abundance of 3He (mass fraction)phys.abund.YdoubleXHe4cCentral abundance of 4He (mass fraction)phys.abund.YdoubleXC12cCentral abundance of 12C (mass fraction)phys.abunddoubleXC13cCentral abundance of 13C (mass fraction)phys.abunddoubleXC14cCentral abundance of 14C (mass fraction)phys.abunddoubleXN14cCentral abundance of 14N (mass fraction)phys.abunddoubleXO16cCentral abundance of 16O (mass fraction)phys.abunddoubleXO17cCentral abundance of 17O (mass fraction)phys.abunddoubleXO18cCentral abundance of 18O (mass fraction)phys.abunddoubleXF19cCentral abundance of 19F (mass fraction)phys.abunddoubleXNe20cCentral abundance of 20Ne (mass fraction)phys.abunddoubleXNe21cCentral abundance of 21Ne (mass fraction)phys.abunddoubleXNe22cCentral abundance of 22Ne (mass fraction)phys.abunddoubleXNa23cCentral abundance of 23Na (mass fraction)phys.abunddoubleXMg24cCentral abundance of 24Mg (mass fraction)phys.abunddoubleXMg25cCentral abundance of 25Mg (mass fraction)phys.abunddoubleXMg26cCentral abundance of 26Mg (mass fraction)phys.abunddoubleXAl26cCentral abundance of 26Al (mass fraction)phys.abunddoubleXAl27cCentral abundance of 27Al (mass fraction)phys.abunddoubleXSi28cCentral abundance of 28Si (mass fraction)phys.abunddoubleXHsSurface abundance of H (mass fraction)phys.abund.XdoubleXH2sSurface abundance of 2H (mass fraction)phys.abunddoubleXHe3sSurface abundance of 3He (mass fraction)phys.abund.YdoubleXHe4sSurface abundance of 4He (mass fraction)phys.abund.YdoubleXLi6sSurface abundance of 6Li (mass fraction)phys.abunddoubleXLi7sSurface abundance of 7Li (mass fraction)phys.abunddoubleXBe7sSurface abundance of 7Be (mass fraction)phys.abunddoubleXBe9sSurface abundance of 9Be (mass fraction)phys.abunddoubleXB10sSurface abundance of 10B (mass fraction)phys.abunddoubleXB11sSurface abundance of 11B (mass fraction)phys.abunddoubleXC12sSurface abundance of 12C (mass fraction)phys.abunddoubleXC13sSurface abundance of 13C (mass fraction)phys.abunddoubleXC14sSurface abundance of 14C (mass fraction)phys.abunddoubleXN14sSurface abundance of 14N (mass fraction)phys.abunddoubleXO16sSurface abundance of 16O (mass fraction)phys.abunddoubleXO17sSurface abundance of 17O (mass fraction)phys.abunddoubleXO18sSurface abundance of 18O (mass fraction)phys.abunddoubleXF19sSurface abundance of 19F (mass fraction)phys.abunddoubleXNe20sSurface abundance of 20Ne (mass fraction)phys.abunddoubleXNe21sSurface abundance of 21Ne (mass fraction)phys.abunddoubleXNe22sSurface abundance of 22Ne (mass fraction)phys.abunddoubleXMg24sSurface abundance of 24Mg (mass fraction)phys.abunddoubleXMg25sSurface abundance of 25Mg (mass fraction)phys.abunddoubleXMg26sSurface abundance of 26Mg (mass fraction)phys.abunddoubleXAl26sSurface abundance of 26Al (mass fraction)phys.abunddoubleXAl27sSurface abundance of 27Al (mass fraction)phys.abunddoubleXSi28sSurface abundance of 28Si (mass fraction)phys.abunddoubleJ/A+A/605/A102/z014Grid of stellar models for Z=0.014ZInitial Z abundancephys.atmol.initialfloatrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintT[rs] s: standard prescriptions or r: th+rot prescriptionsmeta.codecharMass[0.85/6] Initial mass (0.85, 1.0, 1.5, 2.0, 2.5, 3.0, 4.0, 6.0)solMassphys.massfloatModModel numbermeta.id;meta.mainintLSurface luminositysolLumphys.luminositydoubleReffPhotospheric radiussolRadphys.size.radiusfloatTeffEffective temperatureKphys.temperature.effectiveintrhoeffPhotospheric densityg.cm**-3phys.densitydoublelog(g)Photospheric gravitylog(cm.s**-2)phys.gravitydoubleMlossMass-loss ratesolMass/yrphys.mass.lossdoubleMStellar masssolMassphys.massdoubletAgeyrtime.agedoubletchp/2Convective turnover timescale calculated at half of the pressure scale heightdtime.scaledoubletchpConvective turnover timescale calculated at the pressure scale heightdtime.scaledoubletcrconv/2Convective turnover timescale calculated at half of the radius of the convective envelopedtime.scaledoubletcmconv/2Convective turnover timescale calculated at half of the mass of the convective envelopedtime.scaledoubletcmaxMaximum convective turnover timescaledtime.scaledoubletgGlobal convective turnover timescaledtime.scaledoublerhp/2Radius at which tc_hp/2 was estimatedsolRadphys.size.radiusdoublerhpRadius at which tc_hp was estimatedsolRadphys.size.radiusdoublerrconv/2Radius at which tc_rconv/2 was estimatedsolRadphys.size.radiusdoublermconv/2Radius at which tc_mconv/2 was estimatedsolRadphys.size.radiusdoublermaxRadius at which tc_max was estimatedsolRadphys.size.radiusdoubleRohp/2Rossby number associated to tc_hp/2stat.paramdoubleRohpRossby number associated to tc_hpstat.paramdoubleRorconv/2Rossby number associated to tc_rconv/2stat.paramdoubleRomconv/2Rossby number associated to tc_mconv/2stat.paramdoubleRomaxRossby number associated to tc_maxstat.paramdoubleRogRossby number associated to tgstat.paramdoubleTcCentral temperatureKphys.temperaturedoubleTmaxMaximum of temperatureKphys.temperature;stat.maxdoubleMrTmaxMass coordinate of TmaxsolMassphys.massdoublerhocCentral densityg.cm**-3phys.densitydoublerhomaxDensity at the location of Tmaxg.cm**-3phys.densitydoublePcCentral pressure (cgs)dPaphys.pressuredoubleMbenvMass at the base of convective envelopesolMassphys.massdoubleXHcCentral abundance of H (mass fraction)phys.abund.XdoubleXHe3cCentral abundance of 3He (mass fraction)phys.abund.YdoubleXHe4cCentral abundance of 4He (mass fraction)phys.abund.YdoubleXC12cCentral abundance of 12C (mass fraction)phys.abunddoubleXC13cCentral abundance of 13C (mass fraction)phys.abunddoubleXC14cCentral abundance of 14C (mass fraction)phys.abunddoubleXN14cCentral abundance of 14N (mass fraction)phys.abunddoubleXO16cCentral abundance of 16O (mass fraction)phys.abunddoubleXO17cCentral abundance of 17O (mass fraction)phys.abunddoubleXO18cCentral abundance of 18O (mass fraction)phys.abunddoubleXF19cCentral abundance of 19F (mass fraction)phys.abunddoubleXNe20cCentral abundance of 20Ne (mass fraction)phys.abunddoubleXNe21cCentral abundance of 21Ne (mass fraction)phys.abunddoubleXNe22cCentral abundance of 22Ne (mass fraction)phys.abunddoubleXNa23cCentral abundance of 23Na (mass fraction)phys.abunddoubleXMg24cCentral abundance of 24Mg (mass fraction)phys.abunddoubleXMg25cCentral abundance of 25Mg (mass fraction)phys.abunddoubleXMg26cCentral abundance of 26Mg (mass fraction)phys.abunddoubleXAl26cCentral abundance of 26Al (mass fraction)phys.abunddoubleXAl27cCentral abundance of 27Al (mass fraction)phys.abunddoubleXSi28cCentral abundance of 28Si (mass fraction)phys.abunddoubleXHsSurface abundance of H (mass fraction)phys.abund.XdoubleXH2sSurface abundance of 2H (mass fraction)phys.abunddoubleXHe3sSurface abundance of 3He (mass fraction)phys.abund.YdoubleXHe4sSurface abundance of 4He (mass fraction)phys.abund.YdoubleXLi6sSurface abundance of 6Li (mass fraction)phys.abunddoubleXLi7sSurface abundance of 7Li (mass fraction)phys.abunddoubleXBe7sSurface abundance of 7Be (mass fraction)phys.abunddoubleXBe9sSurface abundance of 9Be (mass fraction)phys.abunddoubleXB10sSurface abundance of 10B (mass fraction)phys.abunddoubleXB11sSurface abundance of 11B (mass fraction)phys.abunddoubleXC12sSurface abundance of 12C (mass fraction)phys.abunddoubleXC13sSurface abundance of 13C (mass fraction)phys.abunddoubleXC14sSurface abundance of 14C (mass fraction)phys.abunddoubleXN14sSurface abundance of 14N (mass fraction)phys.abunddoubleXO16sSurface abundance of 16O (mass fraction)phys.abunddoubleXO17sSurface abundance of 17O (mass fraction)phys.abunddoubleXO18sSurface abundance of 18O (mass fraction)phys.abunddoubleXF19sSurface abundance of 19F (mass fraction)phys.abunddoubleXNe20sSurface abundance of 20Ne (mass fraction)phys.abunddoubleXNe21sSurface abundance of 21Ne (mass fraction)phys.abunddoubleXNe22sSurface abundance of 22Ne (mass fraction)phys.abunddoubleXNa23sSurface abundance of 23Na (mass fraction)phys.abunddoubleXMg24sSurface abundance of 24Mg (mass fraction)phys.abunddoubleXMg25sSurface abundance of 25Mg (mass fraction)phys.abunddoubleXMg26sSurface abundance of 26Mg (mass fraction)phys.abunddoubleXAl26sSurface abundance of 26Al (mass fraction)phys.abunddoubleXAl27sSurface abundance of 27Al (mass fraction)phys.abunddoubleXSi28sSurface abundance of 28Si (mass fraction)phys.abunddouble