Regular Article
Vibrational Spectra of Tetrahedral Fullerenes

https://doi.org/10.1006/jmsp.1998.7726Get rights and content

Abstract

From the topological structures of the following classes of tetrahedral fullerenes—(1) Cn(h,h; −i,i), Cn(h, 0; −i, 2i), Cn(2h+i, −h+i;i,i), Cn(hi,h+ 2i; −i, 2i), and Cn(h,i; 0,i) forTdsymmetry; (2) Cn(h,k;k,h), Cn(h,k; −hk,k), and Cn(h,k; −h,h+k) forThsymmetry; (3) Cn(h,k;i,j) forTsymmetry—we have obtained theoretically the formulas for the numbers of their IR and Raman active modes for all of the tetrahedral fullerenes through the decomposition of their nuclear motions into irreducible representations by means of group theory.

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