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5. Conclusion

We have presented an updated and complete calibration scheme of the Geneva photometric system in terms of effective temperature, surface gravity and metallicity for all B to mid-G stars of the main sequence or just above it. This calibration can be applied to giant B, A and F stars but not to red giants, and it will not give a reliable estimate of the surface gravity of giant F stars . It cannot be used either for B to G supergiants, since it is based on LTE atmosphere models and no supergiant has been included in our set of standard stars. Reddened B stars can be dealt with (provided the reddening is not too large, i.e. not greater than about tex2html_wrap_inline3658 and the reddening law is standard). For cool stars (tex2html_wrap_inline3660 K), metallicities can be safely estimated in the range tex2html_wrap_inline3662, and the upper limit of this range extends to about +0.6 in the case of Am stars, which are hotter (7000 - 8000 K).

The new features of this calibration are:

The weakness of our calibration lies in the inadequacy of the atmosphere models around the transition between radiative and convective atmospheres, i.e. near tex2html_wrap_inline3672 K. We have tested different ways of treating the convection, but found no simple way to reproduce the change of slope of the cluster sequences. We also checked whether a change of the microturbulent velocity tex2html_wrap_inline3674 could account for that; this is a reasonable assumption, since it is known empirically that tex2html_wrap_inline3676 increases with tex2html_wrap_inline3678 up to about 8000 K (EAGLNT93, Coupry & Burkhart 1992). But, the increase of tex2html_wrap_inline3680 from cool (5500 K) to hot (tex2html_wrap_inline3682) stars being observationally both small (about tex2html_wrap_inline3684) and smooth, it cannot account for the observed sequence of the Hyades in the d/B2-V1 diagram, since this sequence has a slope which increases abruptly around 7000 K. One would have to make both tex2html_wrap_inline3688 increase e.g. from 2 to tex2html_wrap_inline3690 and overshooting disappear at tex2html_wrap_inline3692 K, to reproduce the observed sequence, but this would appear extremely ad hoc. Therefore, the cureseems far from straightforward. As a result, the photometrically estimated surface gravities of cool stars are not so reliable as one would expect from the accuracy and homogeneity of the Geneva data. The most reliable values are those obtained for unevolved, solar-metallicity stars.

The calibration we have just presented is not complete in the sense that it does not give explicitly the absolute magnitude, bolometric correction, mass, colour excess and distance of the star. In particular, we have dropped the determination of the mass which was offered by NN90 and KN90; the reason is that the Barcelona group (Prof. F. Figueras and co-workers) has devised a code which interpolates the mass and age of a star from its effective temperature and gravity, in evolutionary tracks from various authors including Schaller et al. (1992). We had no reason to duplicate their work. The other physical parameters can be found using calibrations published by other authors. For the intrinsic colours (hence interstellar reddening) of O, B and early A stars (hereafter ``hot stars''), see Cramer (1993), who updated an earlier work (Cramer 1982). Intrinsic colours of B2 to M0 stars have also been estimated by Hauck (1993). The bolometric correction of the hot stars can be obtained from a formula given in Appendix by Cramer (1984a); a formula giving tex2html_wrap_inline3694 as a function of X is also given in that paper, but it should be considered as superseded by our work. A calibration of the X and Y parameters in terms of Crawford's tex2html_wrap_inline3702 index is worth mentioning too (Cramer 1984b): it allows to detect tex2html_wrap_inline3704 emission when both Geneva and tex2html_wrap_inline3706 photometric data are available. The absolute magnitude of hot stars can be obtained from a recent work by Cramer (1994), which supersedes an earlier calibration (Cramer & Maeder 1979). The absolute magnitude of A and F stars (excluding supergiants) can be obtained from the calibration of Hauck (1973). The intrinsic colours of A and F supergiants have been estimated by Meynet & Hauck (1985). Finally, the Geneva system has been calibrated for G, K and M-type stars essentially by Grenon (1978, 1982) and Grenon & Golay (1979), as mentioned above in Sect. 4.

A fortran code has been written, which applies our calibration to stars measured in the Geneva system. This code is available by anonymous ftp at the Centre de Données de Strasbourg (CDS), following the instructions given in A&A 280, E1-E2 (1993). This code uses several ascii files containing the inverted grids, which are, of course, also available. The (uncorrected) Geneva colours of the Kurucz models are also available at the CDS.

 table640

   Table 2: Eclipsing binaries and other stars used as surface gravity standards (hot stars)

   Table 3: Stars of the Orion association used as surface gravity standard (hot stars)

   Table 4: Standard stars of effective temperature (intermediate stars)

   Table 5: Eclipsing binaries used as surface gravity standards for intermediate stars

   Table 6: Stars of the Orion association used as surface gravity standards (intermediate stars)

   Table 7: Stars of the Pleiades used as surface gravity standards (intermediate stars)

   Table 8: Stars of IC 2391 used as surface gravity standards (intermediate stars)

   Table 9: Standard stars of effective temperature (cool stars)

   Table 10: Stars of the Hyades used as surface gravity standards (cool stars)

  Table 10: continued

  Table 10: continued

   Table 11: Stars of IC 2391 used as surface gravity standards (cool stars)

   Table 12: Coefficients a, b and c of Eq. (15), for the correction of log in the case of cool stars

   Table 13: Stars of Edvardsson et al. (1993) used as metallicity and surface gravity standards (cool stars)

  Table 13: continued

  Table 13: continued

   Table 14: Additional standard stars for metallicity (cool stars)

Acknowledgements

This work was supported in part by the Fonds National de la Recherche Scientifique. We thank Mr. David Bersier (Geneva Observatory) for having computed the colours of the corrected models of cool stars.


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