Determining the Parameters of Tetrahedral Splittings in the A 1 - and A 2 -Type States of Molecules with Spherical Symmetry ( T d or О h )

A method of analytical description of one of the most complex problems in the study of high symmetry quantum-mechanical objects, namely, tetrahedral splittings, is considered. Results are presented that allow tetrahedral splittings of the vibrational states of A1 and A2 symmetries for polyad N ≤ 4 to be determined in an analytical form.