DOI: 10.1063/1.1742076. Equation of State and the Thermal Dependence of the Elastic Coefficients of Crystalline Argon

Equation of State and the Thermal Dependence of the Elastic Coefficients of Crystalline Argon

10.1063/1.1742076

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

An interaction potential of the form A/R10—B/R6 for two argon atoms is assumed. The values of A and B are evaluated using the heat of sublimation and the lattice constant at temperature T=0°K and pressure p=0. By assuming that each atom moves in a potential field because of all the other atoms at rest in their mean positions, a theory is developed for anharmonic vibrations using the perturbation theory for a harmonic oscillator. The partition function for each argon atom is obtained and the equation of state is calculated. The specific-heat equation obtained represents a correction of the Einstein form. The specific heats at constant pressure are calculated as a function of temperature and deviate from the experimental ones by only 3 percent at low temperatures (15°K—30°K) and only 1 percent at higher temperatures. The isothermal elastic coefficients C11, C12, and C44 are calculated by Born's method without neglecting the part played by the thermal energy. The Cauchy relation is found to be invalid, C44 being about twice C12 at the higher temperatures.

Bibliography

Henkel, J. H. (1955). Equation of State and the Thermal Dependence of the Elastic Coefficients of Crystalline Argon. The Journal of Chemical Physics, 23(4), 681â687.

Authors 1

John H. Henkel (first)

References 13 Referenced 53

10.1103/PhysRev.46.995 / Phys. Rev. (1934)
10.1063/1.1750498 / J. Chem. Phys. (1939)
10.1103/PhysRev.54.916 / Phys. Rev. (1938)
{'key': '2024020815532239700_r3a'}
10.1063/1.1750497 / J. Chem. Phys. (1939)
{'key': '2024020815532239700_r5'}
{'key': '2024020815532239700_r6', 'first-page': '636', 'volume': 'A107', 'year': '1925', 'journal-title': 'Proc. Roy. Soc. (London)'} / Proc. Roy. Soc. (London) (1925)
10.1143/ptp/5.3.412 / Progr. Theoret. Phys. (Japan) (1950)
{'key': '2024020815532239700_r8', 'first-page': '264', 'volume': 'A168', 'year': '1938', 'journal-title': 'Proc. Roy. Soc. (London)'} / Proc. Roy. Soc. (London) (1938)
{'key': '2024020815532239700_r9', 'first-page': '459', 'volume': 'B31', 'year': '1936', 'journal-title': 'Z. Physik Chem.'} / Z. Physik Chem. (1936)
{'key': '2024020815532239700_r10'}
10.1080/14786441008520379 / Phil. Mag. (1953)
{'key': '2024020815532239700_r12'}

Dates

Type	When
Created	20 years, 4 months ago (April 22, 2005, 1:26 p.m.)
Deposited	1 year, 6 months ago (Feb. 8, 2024, 12:10 p.m.)
Indexed	4 months, 2 weeks ago (April 11, 2025, 3:28 a.m.)
Issued	70 years, 4 months ago (April 1, 1955)
Published	70 years, 4 months ago (April 1, 1955)
Published Print	70 years, 4 months ago (April 1, 1955)

Funders 0

None

BibTeX

@article{Henkel_1955, title={Equation of State and the Thermal Dependence of the Elastic Coefficients of Crystalline Argon}, volume={23}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1742076}, DOI={10.1063/1.1742076}, number={4}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Henkel, John H.}, year={1955}, month=apr, pages={681–687} }

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