We measure the volume luminosity density and surface luminosity density generated by the Galactic disc, using accurate data on the local luminosity function and the vertical structure of the disc. From the well-measured volume mass density and surface mass density, we derive local volume and surface mass-to-light ratios (M/L) for the Galactic disc, in the bands B, V and I. We obtain M/L for the local column of stellar matter of (M/L) B = 1.4 ± 0.2, (M/L) V = 1.5 ± 0.2 and (M/L) I = 1.2 ± 0.2. The dominant contributors to the surface luminosity in these bands are main-sequence turnoff stars and giants. Our results on the colours and M/L for the 'solar cylinder' well agree with population synthesis predictions using initial mass functions typical of the solar neighbourhood. Finally, we infer the global luminosity of the Milky Way, which appears to be underluminous by about 1σ with respect to the main locus of the Tully-Fisher relation, as observed for external galaxies.

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We derive an empirical effective temperature and bolometric luminosity calibration for G and K dwarfs, by applying our own implementation of the Infrared Flux Method to multiband photometry. Our study is based on 104 stars for which we have excellent BV(RI ) C JHK S photometry, excellent parallaxes and good metallicities.Colours computed from the most recent synthetic libraries (ATLAS9 and MARCS) are found to be in good agreement with the empirical colours in the optical bands, but some discrepancies still remain in the infrared. Synthetic and empirical bolometric corrections also show fair agreement.A careful comparison to temperatures, luminosities and angular diameters obtained with other methods in the literature shows that systematic effects still exist in the calibrations at the level of a few per cent. Our Infrared Flux Method temperature scale is 100-K hotter than recent analogous determinations in the literature, but is in agreement with spectroscopically calibrated temperature scales and fits well the colours of the Sun. Our angular diameters are typically 3 per cent smaller when compared to other (indirect) determinations of angular diameter for such stars, but are consistent with the limb-darkening corrected predictions of the latest 3D model atmospheres and also with the results of asteroseismology.Very tight empirical relations are derived for bolometric luminosity, effective temperature and angular diameter from photometric indices.We find that much of the discrepancy with other temperature scales and the uncertainties in the infrared synthetic colours arise from the uncertainties in the use of Vega as the flux calibrator. Angular diameter measurements for a well-chosen set of G and K dwarfs would go a long way to addressing this problem.

A comparison is made between the age–metallicity relations obtained from four different types of studies: F and G stars in the solar neighbourhood, analysis of open clusters, galactic structure studies with the stellar population synthesis technique and chemical evolution models. Metallicities of open clusters are corrected for the effects of the radial gradient, which we find to be −0.09 dex kpc−1 and most likely constant in time. We do not correct for the vertical gradient, because its existence and value are not firmly established. Stars and clusters trace a similar age–metallicity relation, showing an excess of rather metal‐rich objects in the age range 5–9 Gyr. Galactic structure studies tend to give a more metal‐poor relation than chemical evolution models. Neither relation explains the presence of old, relatively metal‐rich stars and clusters. This might be caused by uncertainties in the ages of the local stars, or pre‐enrichment of the disc with material from the bulge, possibly as a result of a merger event in the early phases of the formation of our Galaxy.