Exact Classical Harmonic Free Energy of the Triangular Lattice
- 1 April 1971
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 54 (7) , 2910-2911
- https://doi.org/10.1063/1.1675271
Abstract
The exact classical Helmholtz free energy per particle for a monatomic triangular lattice with first-neighbor harmonic interactions is shown to be given as F / kT = − 2ln(kT / hν0) + 12ln6 − (9 / π)L(π / 6), where ν0 = (2π)−1(κ / m)1/2, and L is Lobachevskiy's function.Keywords
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