DOI: 10.1063/1.1731404. Contribution of Lattice Vibrations to the Order-Disorder Transformation in Alloys

Contribution of Lattice Vibrations to the Order-Disorder Transformation in Alloys

10.1063/1.1731404

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

The lattice vibrational partition function for a binary crystal is constructed from the normal mode frequencies in the classical nearest-neighbor harmonic approximation. The set of frequencies is computed as a function of the short-range order parameter by the use of the Born-von Karman analysis and second-order perturbation theory. The resulting form of the lattice vibrational partition function closely resembles that of the static configurational partition function so that a reexamination of the statistical thermodynamics, including lattice vibrational effects, proves to be straightforward. The derived thermodynamic quantities are compared with experiment for the case of β-brass. The theoretical heat capacity discontinuity as calculated by the method of Bethe and Kirkwood is increased from 1.7R to 6.1R by the inclusion of the lattice vibrational contribution. The agreement with the experimental value of about 5R is now satisfactory.

Bibliography

Wojtowicz, P. J., & Kirkwood, J. G. (1960). Contribution of Lattice Vibrations to the Order-Disorder Transformation in Alloys. The Journal of Chemical Physics, 33(5), 1299â1310.

Authors 2

Peter J. Wojtowicz (first)
John G. Kirkwood (additional)

References 29 Referenced 40

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{'key': '2024020819255905400_r3', 'first-page': '552', 'volume': 'A150', 'year': '1935', 'journal-title': 'Proc. Roy. Soc. (London)'} / Proc. Roy. Soc. (London) (1935)
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10.1103/PhysRev.60.605 / Phys. Rev. (1941)
10.1063/1.1702230 / J. Appl. Phys. (1952)
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{'key': '2024020819255905400_r22'}
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Dates

Type	When
Created	20 years, 7 months ago (Jan. 5, 2005, 9:43 p.m.)
Deposited	1 year, 6 months ago (Feb. 8, 2024, 2:35 p.m.)
Indexed	1 year, 6 months ago (Feb. 9, 2024, 5:58 a.m.)
Issued	64 years, 9 months ago (Nov. 1, 1960)
Published	64 years, 9 months ago (Nov. 1, 1960)
Published Print	64 years, 9 months ago (Nov. 1, 1960)

Funders 0

None

BibTeX

@article{Wojtowicz_1960, title={Contribution of Lattice Vibrations to the Order-Disorder Transformation in Alloys}, volume={33}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1731404}, DOI={10.1063/1.1731404}, number={5}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Wojtowicz, Peter J. and Kirkwood, John G.}, year={1960}, month=nov, pages={1299–1310} }

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