Influence of Atomic Masses on the Coriolis Coupling Coefficients in Some Symmetrical Molecules. I. Tetrahedral XY4-Type Molecules

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Abstract
Coriolis coupling coefficients (ζ values of tetrahedral XY4 molecules are studied in relation to the same quantities of the Z4 tetrahedron. The existence of upper and lower limits is proved for the ζ values of XY4. In particular, one has |ζ24|→1/2 and ζ44→1/2 as the upper limits with increasing atomic mass ratio mY/mX. The same values, which are independent of the force constants, are found in the Z4 model, where the central atom is absent. Lower limits are also derived for |ζ24| and ζ44, but appear to be functions of the force constants. Calculated ζ24 and ζ44 values for 36 molecules of the tetrahedral XY4 type are reported, and are studied as function of the atomic mass ratio. The regularities that have been observed are presented graphically. Carbon tetrahalides, methanes, and silanes are the molecules which have been studied most extensively, and for which the applied force constants are reported.