The pattern of the rotation-vibrational energy levels in isolated vibrational components of (\mathrm{CF}{4}) has recently been described ( B. I. Zhilinskii et al.. J. Mol. Spectros: 160, 192-216, 1993) in terms of the semiclassical model for the rotation of molecules. The present paper discusses the interaction between neighboring vibrational components due to a transfer from one component to the other of either one 6 -fold cluster, one 8 -fold cluster, one 12 -fold cluster, or two 6 -fold clusters. The rules for which transfers are possible are derived from a consideration of the formation of common points between the two corresponding classical rotational energy surfaces. These rules are conveniently stated in terms of the local symmetry indices ( B. I. Zhilinskii and S. Brodersen. J. Mol. Spectrosc. 163, 326-338. 1994 ) characterizing the symmetries of the two vibrational components. Three examples of such interactions are discussed in detail: first a crossing of one vibrational component from the (v{3}) vibrational state with one of the components from the (2 v_{4}) state: second. a crossing of one vibrational component from the (p_{3}) vibrational slate with the two components of the (E) substate of (3 v_{2}); and finally, the rearrangement of the vibrational components of the (I) : and (F_{2}) substates of the (2 v_{4}) vibrational state into five components of the combined (E+F_{2}) substate.
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