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1. Introduction

The purpose of the investigation is the determination of accurate (one per cent) temperatures for selected stars for use in a flux calibration for ISO, as described by van der Bliek et al. (1992) using the Infrared Flux Method. The method and its applications have been discussed in detail by Blackwell et al. (1980, 1990, 1991), Blackwell & Lynas-Gray (1994), Saxner & Hammarbäck (1985), Bell & Gustafsson (1989), Smalley (1993), Glushneva et al. (1993) and Alonso et al. (1995). Because of known limitations of the IRFM, the range of stars is restricted to those with temperatures between 10000 K and 4200 K, and surface gravities between tex2html_wrap_inline1553 and 1.0.

The method is based on the measurement of two stellar quantities: the absolute monochromatic continuum flux density, tex2html_wrap_inline1555, at a chosen wavelength tex2html_wrap_inline1557 in the near infrared, and the absolute integrated flux F. The ratio of these two quantities is related to the stellar temperature T through the equation
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where tex2html_wrap_inline1563 gives the monochromatic flux from the star as a function of effective temperature, the surface gravity, the wavelength at which the monochromatic flux is determined, and the atomic abundances. The method is applied by calculating the right-hand side of the equation as a function of temperature for a chosen value of tex2html_wrap_inline1557 on the Rayleigh-Jeans tail, and for selected values of tex2html_wrap_inline1567 and A, using a range of model stellar atmospheres. This procedure gives a calibration relating temperatures to measured values of R. Later calibrations, for example those of Blackwell & Lynas-Gray (1994) have been made using more recent models by Kurucz (1991, 1992). Other calibrations have been published by Alonso et al. (1996a) for dwarf and subdwarf stars, and by Mégessier (1994). The accuracy of flux calculations using model atmospheres has been considered by van der Bliek et al. (1996), whilst Mégessier (1994) has assessed the influence of the model atmosphere on derivations of temperature.

The dependence of the IRFM on stellar metallicity has been discussed by Mégessier (1994) and by Smalley (1993). However, an accurate correction for metallicity cannot always be made for the present program stars because of a lack of precise measurements of [Fe/H]. In addition, even the solar iron abundance is now uncertain to the extent of 0.12 dex following the work of, for example, Holweger et al. (1991, 1995) and Blackwell et al. (1995). Most of the basic [Fe/H] values adopted for the stars in this paper have been taken from the survey of measurements by Cayrel de Strobel et al. (1992), supplemented by those given by Edvardsson et al. (1993). Where there are no direct measures, Schuster & Nissen (1989) and Carney (1979) have suggested methods of deriving [Fe/H] depending on stellar photometry, but the results are probably uncertain to 0.6 dex. In these circumstances, we have assumed a mean value of tex2html_wrap_inline1573 dex for stars for which there are no direct measures of [Fe/H], a value which corresponds to the mean measured value of [Fe/H] for all of the stars in this program. For the majority of stars, these procedures should give results with a mean temperature error of less than 0.5 per cent through uncertainty in metallicity.

The IRFM requires values of interstellar extinction so that corrections can be made to observed infrared and integrated fluxes. Blackwell & Lynas-Gray (1994) give a table showing the effect of interstellar extinction on the determination of temperature. In the present work, individual extinction values have been obtained using parallaxes measured by the Hipparcos satellite (ESA 1997). The Hipparcos parallaxes for the more distant stars have been of the utmost importance, for they have enabled the the IRFM to be greatly extended in its range of application. Following previous work we assume an average interstellar extinction of AV = 0.8 mag/kpc, with Allen's (1955) wavelength dependence, but also consider the results of the complex mapping of extinction made by Arenou et al. (1992).


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