The reduced rotation matrix: Plots and zeros

The reduced matrix elements of finite rotations in the angular momentum representation { d j m'm (β)} are presented in polar plots and root tables for several low spins having both integral and half-integral values. The plots present, for j ≤5/2, the magnitude of the matrix element as the length of the radius vector at the polar angle which corresponds to the Euler angle of rotation. The tables present those values of β, in the region 0≤ j ≤8, which satisfy the condition d j m'm (β)=0.