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Generalized skeletal approximation in the analysis of vibrational spectra of polymers

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Abstract

A mathematical procedure is given for analyzing the low-frequency region of the vlbrational spectrum for a defective polymer; this reduces the order of the secular equation to the number of degrees of freedom of the atoms forming the skeleton. As a result, the matrices for the kinetic and potential energies become frequency-dependent, and they describe the vibrations of the skeleton at frequencies near zero, with the nodes bearing lumped masses equal to the masses of the repeating units.

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Authors and Affiliations

  1. Patrice Lumumba International Friendship University, USSR

    A. P. Kolesnikov, I. D. Mikhailov & Yu. V. Cheban

Authors
  1. A. P. Kolesnikov
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  2. I. D. Mikhailov
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  3. Yu. V. Cheban
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 41–47, November, 1978.

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Kolesnikov, A.P., Mikhailov, I.D. & Cheban, Y.V. Generalized skeletal approximation in the analysis of vibrational spectra of polymers. Soviet Physics Journal 21, 1421–1425 (1978). https://doi.org/10.1007/BF00890348

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  • DOI: https://doi.org/10.1007/BF00890348

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