Treatment of the Normal Vibrations of Helical Polymers; Methods for Factoring theBMatrix and for Calculating Atomic Displacements
- 15 September 1967
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 47 (6) , 2034-2039
- https://doi.org/10.1063/1.1712234
Abstract
Theories on the degenerate normal vibrations of helical polymer chains were studied. A method for factoring the B matrix of infinite chains was worked out. For any phase difference, the factored B matrix is useful for calculating the G matrix and the atomic displacements. The atomic displacements for a degenerate vibration may be expressed with an ellipse that is common to all the repeat units. The atomic motion makes an elliptical locus when the pair of the degenerate vibrations take place with a phase shift. A refined method is presented for treating the normal vibrations of helical polymers of the dihedral group.Keywords
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