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9. The importance of metallicity for temperature determination

We have taken account of the the effect of metallicity on temperature determination for all of the stars in the present study for which direct measurements of [Fe/H] exist. Unfortunately, measures are available for only 35 per cent of the total number of stars in the programme, and this is reflected to some extent in the spread of the relations between temperature and photometric indices such as tex2html_wrap_inline1631. Figure 4 (click here) plots derived temperatures against the arbitarily selected parameter tex2html_wrap_inline1635, using class V stars of the higher class of quality, with known values of [Fe/H] in the narrow range tex2html_wrap_inline2263. In these circumstances, the spread about the regression line is very small, although it must be admitted that there are only a few points.

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Figure 4: Plot of temperatures of Class V stars against tex2html_wrap_inline1635. The stars have known metallicities in the range -0.59<[Fe/H]<-0.34

In order to derive the effect of metallicity on the representation of determined temperature by functions of photometric indices, we have evaluated the residuals in a regression as a function of measured metallicity [Fe/H]. For stars of luminosity classes V and IV, the residuals depend on metallicity according to the function tex2html_wrap_inline2265 per cent. Accordingly, where metallicity values exist, the polynomial relations derived in the previous sections should be increased by this function. The full expression for temperature determination using a photometric quantity x, where x can be tex2html_wrap_inline1635, tex2html_wrap_inline1631 or tex2html_wrap_inline1629, and metallicity [Fe/H] is now:
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