Use of natural coordinates in calculating particle oscillations in a crystal lattice
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On the basis of the classical theory of crystal-lattice oscillation and the theory of molecular oscillation, the problem of writing equations of motion for crystal-lattice oscillation, using the change in bond length and angles between bonds as the coordinates, is considered. General methods of taking into account translational symmetry in the force-constant and kinematic-coefficient matrices are determined, and the problem of eliminating unwanted coordinates is considered. Oscillations in a plane quadratic lattice are used to illustrate the method.
KeywordsBond Length Crystal Lattice Classical Theory Translational Symmetry Quadratic Lattice
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