Kozliak, Evguemil I. 4 0
Consistent application of the Boltzmann distribution to residual entropy in crystals. 6 6 - - - - - - - - . - . - 0 . - . - 0 .
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.
5
5
2 = =
2
2 --0------
6 --0-- 2 --------
0 2 --
--20------
Maxwell - Boltzmann distribution law.;Thermodynamics.;Distribution (Probability theory).;Kinetic theory of gases.;Molecular theory.;Statistical mechanics.;Chemistry, Physical and Theoretical.;Quantum theory.;Physics. --------20--
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QD1 .J826ce / 2
/ 2
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/
Consistent application of the Boltzmann distribution to residual entropy in crystals. 6 6 - - - - - - - - . - . - 0 . - . - 0 .
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.
5
5
2 = =
2
2 --0------
6 --0-- 2 --------
0 2 --
--20------
Maxwell - Boltzmann distribution law.;Thermodynamics.;Distribution (Probability theory).;Kinetic theory of gases.;Molecular theory.;Statistical mechanics.;Chemistry, Physical and Theoretical.;Quantum theory.;Physics. --------20--
--------20--
----2
QD1 .J826ce / 2
/ 2
/
/