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CIX. The zero point energy and Θ crystals

1952; Taylor & Francis; Volume: 43; Issue: 345 Linguagem: Inglês

10.1080/14786441008520250

1941-5990

C. Domb, L. Salter,

Solid-state spectroscopy and crystallography

Summary The calculations of Montroll of the moments of the frequency spectrum of a number of crystal lattices enable an accurate estimate to be made of the zero point energy of these lattices. It has been customary to use the value 9/8kΘ, based on the Debye approximation, to estimate the zero point energy, and it is shown that this formula is only accurate if Θ L , the limiting value of Θ for high temperatures is used. It is shown that Θ L can be simply expressed in terms of the force constants between atoms of the crystal.