Abstract. It is shown that a 6-j symbol for SO(2l+1) in which four primitive spinor representations (1/21/2. . .1/2) appear is directly related to an SO(3) rotation matrix possessing a rank of l+1/2 and characterised by the Euler angles (0, 1/2 pi , 0). An interpretation is given in terms of a rotation operator exp(1/2i pi T_y) acting in the combined spin and quasispin space of an atomic l shell, whose states mod T, M_T) are defined in a quasiparticle scheme in which four coupled spinors (1/21/2. . .1/2) are used.

Print publication: Issue 6 (21 April 1987)