Model atmospheres of isolated neutron stars with low magnetic field are calculated with Compton scattering taking into account .
Models with effective temperatures 1 , 3 and 5 MK , with two values of surface gravity ( \log~ { } g = 13.9 and 14.3 ) , and different chemical compositions are calculated .
Radiation spectra computed with Compton scattering are softer than the computed with Thomson scattering at high energies ( E > 5 keV ) for hot ( T _ { eff } > 1 MK ) atmospheres with hydrogen-helium composition .
Compton scattering is more significant to hydrogen models with low surface gravity .
The emergent spectra of the hottest ( T _ { eff } > 3 MK ) model atmospheres can be described by diluted blackbody spectra with hardness factors \sim 1.6 - 1.9 .
Compton scattering is less important for models with solar abundance of heavy elements .