J. Ivanic et K. Ruedenberg, ROTATION MATRICES FOR REAL SPHERICAL-HARMONICS - DIRECT DETERMINATIONBY RECURSION, Journal of physical chemistry, 100(15), 1996, pp. 6342-6347
A recurrence procedure is derived for constructing the rotation matric
es between real spherical harmonics directly in terms of the elements
of the original 3x3 rotation matrix without the intermediary of any pa
rameters. The procedure furnishes a simple, efficient, and general met
hod for the formal as well as numerical evaluation of these representa
tion matrices.