GET_pdf delibra

Volume 3 (1) 1997, 91-95

Combinations of the spherical harmonics and the spherical rotator functions invariant with respect to the symmetry group O h

Wojciechowski Krzysztof W.

Institute of Molecular Physics, Polish Academy of Sciences
Smoluchowskiego 17/19, 60-179 Poznań, Poland

DOI:   10.12921/cmst.1997.03.01.91-95



The coefficients sufficient to construct all the invariant (with respect to elements of
the symmetry group Oh) cubic harmonics and the invariant cubic rotator (known also as the Wigner) functions are given up to l=30.


[1] C. G. Gray and K. E. Gubbins, Theory of Molecular Fluids, Clarendon Press,
Oxford, 1984.
[2] H. M. James and T. A. Keenan, J. Chem. Phys. 31, 12 (1959).
[3] F. C. Von der Lage and H. A. Bethe, Phys. Rev. 71, 612 (1947).
[4] S. L. Altmann and A. P. Cracknell, Rev. Mod. Phys. 37, 19 (1965).
[5] S. Wolfram, Mathematica, A System for Doing Mathematics by Computer,
Wolfram Res. Inc. (1992).