A GEOMETRIC VISUALIZATION OF NORMAL COORDINATE TRANSFORMATIONS APPLIED TO THE DETERMINATION OF FORCE CONSTANTS AND BOND MOMENT $PARAMETERS^{*}$
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Date
1954
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Publisher
Ohio State University
Abstract
The normal coordinate transformation L may be factored into a matrix PA, where P is completely determined by the kinetic energy matrix G, and A is an orthonormal matrix. Hence A may be visualized as a rotation in $n(n-1)/2$ - space, n being the order of the secular equation: It can be determined only by study of isotopic molecules or by the imposition of special restrictions on the potential function. The consideration of all such rotations is a convenient way of considering all possible sets of force constants, bond-moment parameters, etc. In the simple case $n = 2$, graphical representations in terms of the single rotation angle are especially perspicuous. We shall illustrate the application to the determination of the force constants of $C_{2}H_{4}$ and the bond-moment parameters of $CF_{2}$ and $C_{2}F_{4}$.
Description
$^{*}$This research was sponsored by the Office of Ordnance Research, U. S. Army.
Author Institution: School of Chemistry, University of Minnesota
Author Institution: School of Chemistry, University of Minnesota