We present non-LTE corrections to abundances of Fe, O, Na, and Mg derived f
rom LTE analyses of F-K stars over a broad range of gravities and metal abu
ndances; they were obtained using statistical equilibrium calculations and
new model atoms. Line opacity was considered by means of an empirical proce
dure where it was attributed to a veil of weak Fe I lines; in the case of s
olar-type dwarfs, results were compared with those obtained using (LTE) mea
n intensities computed from OSMARCS models. We think that the empirical pro
cedure produces better results for metal-poor stars, while mean intensities
should perhaps be preferred for the Sun (where departures from LTE are any
way not very large). Collisions with both electrons and H I atoms were cons
idered. Since cross sections for this second mechanism are very poorly know
n, lye calibrated them empirically by matching observations of RR Lyrae var
iables at minimum light (discussed in Clementini et al. 1995). These stars
were selected because non-LTE effects are expected to be larger in these st
ars than in those usually considered in the study of the chemical evolution
of the Galaxy (cool main sequence and red giant branch stars). We found th
at different non-LTE mechanisms are important for the different species and
transitions considered; on the whole, our calculations yielded moderate co
rrections to LTE abundances for high excitation O lines in warm dwarfs and
giants, Na and Mg lines in giants and supergiants, and Fe I lines in F-supe
rgiants (where corrections becomes very large for IR O lines). Non-LTE corr
ections were found to be negligible in the other cases studied.