The character of relaxation of atoms around a vacancy in cubic silicon carb
ide is determined with the help of the empirical potential of Tersoff The r
ecursion method of Haydock and Nex is applied to calculate the density of s
tates derived from atoms situated around the defect. The outward relaxation
of the lattice surrounding a empty site is established. The lattice relaxa
tion results in the shift of gap states toward the conduction band. Vacancy
levels of carbon at 0.5 eV and silicon at 0.45 and 1.98 eV are revealed in
the band gap. The obtained results are compared with the experimental ones
and with the data of other calculations. The work shows the importance of
taking into account the lattice relaxation in examining vacancy states in s
emiconducting compounds.