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XLIII. The ideal crystal at absolute zero

L. Salter

Open publisher page 32 citations

Abstract

Theoretical expressions for the internal energy, equilibrium volume, and elastic constants of the rare gas solids at absolute zero are derived, using a recently proposed approximation for the zero point energy of a crystal. The calculations show that, on the basis of a central force model, the zero point energy destroys the equality c 12=c 44 (Cauchy relation) for these solids.

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What this paper is about

Theoretical expressions for the internal energy, equilibrium volume, and elastic constants of the rare gas solids at absolute zero are derived, using a recently proposed approximation for the zero point energy of a crystal. The calculations show that, on the basis of a central force model, the zero point energy destroys the equality c 12=c 44 (Cauchy relation) for these solids.

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Available abstract

Theoretical expressions for the internal energy, equilibrium volume, and elastic constants of the rare gas solids at absolute zero are derived, using a recently proposed approximation for the zero point energy of a crystal. The calculations show that, on the basis of a central force model, the zero point energy destroys the equality c 12=c 44 (Cauchy relation) for these solids.

Key concepts: Zero-point energy, Absolute zero, Zero (linguistics), Ideal (ethics), Crystal (programming language), Internal energy, Cauchy distribution, Ideal gas

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