Öz In this paper, elastic total cross sections of positrons which is scattered by bound silicon, gallium and antimony atoms have been calculated. The calculation of elastic scattering cross section for E<10 keV made with the partial wave expansions. The total elastic cross section have been taken for positrons of silicon, gallium and antimony calculated by Öztürk, Williamson and Antolak in the energy region 10 eV - 10 keV. In this article the screened Rutherford cross section with the spin-relativistic factor have been used for elastic scattering in the energy region 10 keV - 4 MeV