Two Methods for the Evaluation of Exact Moments of Crystal Frequency Distribution Functions
- 1 August 1972
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 57 (3), 1321-1326
- https://doi.org/10.1063/1.1678395
Abstract
The moments of the frequency distribution function for the honeycomb lattice are determined by employing a change of variables. The moments for the triangular lattice are obtained from an analysis of the closed walks on the lattice, and a general formula is derived which sheds new light on this method. Further development of these methods, when used in conjunction with a computer, should reduce the difficulties incurred in the purely machine calculation of high order moments.Keywords
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