Soviet Physics Journal

, Volume 21, Issue 11, pp 1421–1425 | Cite as

Generalized skeletal approximation in the analysis of vibrational spectra of polymers

  • A. P. Kolesnikov
  • I. D. Mikhailov
  • Yu. V. Cheban
Article
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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.

Keywords

Polymer Potential Energy Vibrational Spectrum Mathematical Procedure Secular Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • A. P. Kolesnikov
    • 1
  • I. D. Mikhailov
    • 1
  • Yu. V. Cheban
    • 1
  1. 1.Patrice Lumumba International Friendship UniversityUSSR

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