Abstract
Summary We present an analysis of principal vibrational modes whose propagation creates the standing waves along the lateral surfaces of the elongated fullerenes. We deduce the recurrence rules determining the possibility of resonances between the skew and vertical modes, as well as the appearance of isolated standing waves with nodes in the elongated fullerenes CN with N = 50 + 10k, k= 1,2,3…. We discuss briefly the influence of different vibrational spectra on the mechanical stability of CN-elongated fullerenes, and its impact on the relative rate of their production. This work has been partly supported by the joint French-German Research Programme “PROCOPE”.
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