Consistent application of the Boltzmann distribution to residual entropy in crystals. 6
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ABSTRACT : Four different approaches to residual entropy (the entropy remaining in crystals comprised of nonsymmetric molecules like CO, N2O, FClO3, and H2O as temperatures approach 0 K) are analyzed and a new method of its calculation is developed based on application of the Boltzmann distribution. The inherent connection of all four methods (based on combinatorics, thermodynamics, mixing, or statistical mechanicsâ€probabilities) to one another is shown. They yield the same numerical value of residual entropy when the “frozen-in†energy difference between the possible intermolecular interactions for different molecular arrangements (configurations) is negligible as compared to kBTfusion.
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Maxwell - Boltzmann distribution law.;Thermodynamics.;Distribution (Probability theory).;Kinetic theory of gases.;Molecular theory.;Statistical mechanics.;Chemistry, Physical and Theoretical.;Quantum theory.;Physics. --------20--