Relativistic Hartree-Fock Hyperfine-Structure Calculations for the Scandium, Copper, Gallium, and Bromine Atoms

The magnetic dipole and electric quadrupole hyperfine constants have been calculated for the ${}_{}{}^2{}_{}{}^{}D_{\frac{3}{2}}^{}{}_{}{}^{}$ and ${}_{}{}^2{}_{}{}^{}D_{\frac{5}{2}}^{}{}_{}{}^{}$ states of scandium and copper and the ${}_{}{}^2{}_{}{}^{}P_{\frac{1}{2}}^{}{}_{}{}^{}$ and ${}_{}{}^2{}_{}{}^{}P_{\frac{3}{2}}^{}{}_{}{}^{}$ states of gallium and bromine atoms. Both restricted and unrestricted numerical relativistic Hartree-Fock calculations have been carried out; the relativistic core-polarization contribution to the hyperfine constants is studied in comparison with the nonrelativistic results.