Coefficients are calculated for the alignment transfer between levels of hyperfine structure (hfs) of atoms with electron momenta j=1, 1.5, and 2 and nuclear spins i=0.5, 1, 1.5, 2, 2.5, 3, and 3.5 under the influence of nonresonance collisions with atoms of a foreign gas. The results are tabulated. A concrete application of the results is illustrated in calculating numerical values of the effective cross sections for collisional transfer of alignment between hfs levels of the first excited n
sup2P
sub3/
sub2 state of rubidium and cesium atoms. (AIP)