A grid of synthetic spectra and indices Fe5270, Fe5335, Mgb and Mg$_\mathsf{2}$ as a function of stellar parameters and [ $\mathsf{\alpha}$/Fe]

We have computed a grid of synthetic spectra in the wavelength range 4600-5600 A using revised model atmo- spheres, for a range of atmospheric parameters and values of (-elements/Fe)= 0: 0a nd+0.4. The Lick indices Fe5270, Fe5335, Mgb and Mg2 are measured on the grid spectra for FWHM= 2t o 8:3 A. Relations between the indices Fe5270, Fe5335 and Mg2 and the stellar parameters eective temperature Te; log g ,( Fe/H) and (/Fe), valid in the range 4000 Te 7000 K, are presented. These fitting functions are given for FWHM= 3:5 and 8.3 A. The indices were also measured for a list of 97 ref- erence stars with well-known stellar parameters observed at ESO and OHP, and these are compared to the computed indices. Finally, a comparison of the indices measured on the observed spectra and those derived from the fitting functions based on synthetic spectra is presented.

[1]  W. Liller,et al.  The mean sequence of the metal-poor globular cluster M30 /NGC 7099/ , 1980 .

[2]  I. Kovacs,et al.  Rotational structure of the spectra of diatomic molecules , 1972 .

[3]  William H. Press,et al.  Numerical recipes , 1990 .

[4]  R. Schiavon,et al.  Population Synthesis in the Blue. I. Synthesis of the Integrated Spectrum of 47 Tucanae from Its Color-Magnitude Diagram , 2001, astro-ph/0109364.

[5]  S. Faber,et al.  Old Stellar Populations. IV. Empirical Fitting Functions for Features in the Spectra of G and K Stars , 1993 .

[6]  S. Charlot,et al.  Spectral evolution of stellar populations using isochrone synthesis , 1993 .

[7]  David Burstein,et al.  Old Stellar Populations. VI. Absorption-Line Spectra of Galaxy Nuclei and Globular Clusters , 1997, astro-ph/9712258.

[8]  G. Bruzual,et al.  Stellar population synthesis at the resolution of 2003 , 2003, astro-ph/0309134.

[9]  D. Branch,et al.  Rotational Dependence of Franck-Condon Factors for Selected Band Systems of cn, C2, co, and CH , 1978 .

[10]  France.,et al.  A standard stellar library for evolutionary synthesis - II. The M dwarf extension , 1997, astro-ph/9710350.

[11]  W. Wiese,et al.  Atomic Transition Probabilities Scandium through Manganese , 1988 .

[12]  S. Anstee,et al.  A determination of the solar abundance of iron from the strong lines of Fe I , 1997 .

[13]  R. Bell,et al.  Modeling the LICK/IDS Spectral Feature Indices Using Synthetic Spectra , 1995 .

[14]  D. Branch,et al.  Rotational dependence of Franck-Condon factors for selected band systems of TiO, ZrO, MgO, LaO, and SiO , 1979 .

[15]  S. Langhoff,et al.  Theoretical study of the dissociation energy and the red and violet band systems of CN , 1988 .

[16]  David Burstein,et al.  Old stellar populations. II. an analysis of K-giant spectra. , 1985 .

[17]  J. Fuhr,et al.  Atomic transition probabilities for iron, cobalt, and nickel (A critical data compilation of allowed lines) , 1981 .

[18]  Peter H. Hauschildt,et al.  Model atmospheres for M (sub)dwarf stars. 1: The base model grid , 1995, astro-ph/9601150.

[19]  M. Grenon,et al.  Detailed Analysis of Nearby Bulgelike Dwarf Stars. I. Stellar Parameters, Kinematics, and Oxygen Abundances , 2001, astro-ph/0111224.

[20]  M. Larsson,et al.  The Influence of Collisional Transfers and Perturbations on Measured A and B State Lifetimes in CN , 1978 .

[21]  J. G. Phillips,et al.  Oscillator strengths of the CN red system , 1986 .

[22]  C. Soubiran,et al.  On-line determination of stellar atmospheric parameters $T_{\mathrm{eff}}$, $\log g$, [Fe/H] from ELODIE echelle spectra - II. The library of F5 to K7 stars , 1998 .

[23]  David Burstein,et al.  Old stellar populations. I. A spectroscopic comparison of galactic globular clusters, M 31 globular clusters, and elliptical galaxies. , 1984 .

[24]  N. Elander,et al.  Predissociation effects in the A, B, and C states of CH and the interstellar formation rate of CH via inverse predissociation. [Lifetime measurements, rotation-vibration levels] , 1976 .

[25]  Wolfgang L. Wiese,et al.  Atomic Transition Probabilities: Iron Through Nickel , 1988 .

[26]  A. McWilliam ABUNDANCE RATIOS AND GALACTIC CHEMICAL EVOLUTION , 1997 .

[27]  H. Holweger,et al.  The photospheric barium spectrum: Solar abundance and collision broadening of Baii lines by hydrogen , 1974 .

[28]  D. Ottaviani,et al.  Hγ and Hδ Absorption Features in Stars and Stellar Populations , 1997 .

[29]  David Burstein,et al.  Old stellar populations. 5: Absorption feature indices for the complete LICK/IDS sample of stars , 1994 .

[30]  Masa-Aki Hashimoto,et al.  Core-Collapse Supernovae and Their Ejecta , 1995 .

[31]  Bowen Liu,et al.  Oscillator Strengths and Photodissociation Cross Sections in the X-->A and X-->B' Band Systems in MgH , 1979 .

[32]  J. E. Gunn,et al.  Stellar spectrophotometric atlas, wavelengths from 3130 to 10800 A , 1983 .

[33]  S. Anstee,et al.  Width cross-sections for collisional broadening of s-p and p-s transitions by atomic hydrogen , 1995 .

[34]  New grids of ATLAS9 atmospheres I: Influence of convection treatments on model structure and on observable quantities , 2002, astro-ph/0206156.

[35]  Ingemar Furenlid,et al.  Solar flux atlas from 296 to 1300 nm , 1985 .

[36]  S. C. Trager,et al.  The Stellar Population Histories of Local Early-Type Galaxies. I. Population Parameters , 2000, astro-ph/0001072.

[37]  Paul Barklem,et al.  The broadening of d–f and f–d transitions by collisions with neutral hydrogen atoms , 1997 .

[38]  J. G. Phillips Perturbations in the Swan system of the C2 molecule , 1968 .

[39]  B. Barbuy A CALIBRATION OF MG2 VERSUS FE/H AND MG/FE , 1994 .

[40]  Usp,et al.  The Temperature Scale of Metal-rich M Giants Based On TiO Bands: Population Synthesis in the Near-Infrared , 1998, astro-ph/9807325.

[41]  L. Marschall,et al.  CCD photometry of the old open cluster M67 , 1993 .

[42]  Strasbourg,et al.  A standard stellar library for evolutionary synthesis: I. calibration of theoretical spectra , 1997, astro-ph/9701019.

[43]  G. Worthey Comprehensive stellar population models and the disentanglement of age and metallicity effects , 1994 .

[44]  H. Ågren,et al.  A theoretical investigation of the radiative properties of the CN red and violet systems , 1983 .