An exact recursion for the occupational degeneracy of dumbbells on a hexagonal lattice space
- 1 October 1985
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 83 (7) , 3626-3632
- https://doi.org/10.1063/1.449169
Abstract
We derive a ten-term recursion relation that describes exactly the occupational degeneracy for indistinguishable dumbbells distributed on a hexagonal lattice space. The generating functions, normalization, expectation, dispersion, and continuous representation of the associated statistics are also treated. In addition, the occupational degeneracy at saturation is discussed.Keywords
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