Model atmospheres of white dwarf stars are routinely computed taking i
nto account coherent (Thomson) scattering on free electrons. This pape
r presents a set of LTE model atmospheres computed with the account of
noncoherent Compton scattering, which in a physically correct way des
cribes photon frequency changes at the time of scattering. Effective t
emperatures T(eff) of white dwarfs chosen here are in the range 1 x 10
(5) K to 2 x 10(5) K, and are relevant to the hottest known white dwar
f stars. Surface gravity ranges from log g = 8.0 down to 5.2 (c.g.s. u
nits). Model atmospheres assume pure hydrogen, mixed hydrogen/helium a
nd pure helium chemical composition, thus corresponding to DA, DAO, an
d DO classes of white dwarfs. Most of the model atmospheres exhibit di
stinct effects of Compton scattering, which cause a huge rise of tempe
rature T in surface layers, as compared with models assuming Thomson s
cattering of continuum photons. Simultaneously, Compton scattering imp
lies a depression of the emerging fluxes in X-ray domain (lambda less-
than-or-equal-to 50 angstrom), since high energy photons are efficient
ly redistributed to lower energies after scattering with cooler electr
on gas. Both the above effects are strongest in pure H models of low g
ravity, approaching the critical gravity g(cr). Mixed He/H and pure He
models exhibit weaker effects of Compton heating and flux depression
in X-rays. High gravity models of log g = 8.0 are very weakly altered
by Comptonization in models of any T(eff) and chemical composition. Th
eoretical X-ray spectra which are presented here yet cannot account fo
r the observed deficiency of hot DA white dwarfs in the ROSAT X-ray an
d EUV surveys. However, significant heating of some model atmospheres
in the uppermost layers could have impact on the profiles of the stron
gest spectral lines.