Measurement of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mo>(</mo><mfrac><mrow><mi>∂</mi><mi>P</mi></mrow><mrow><mi>∂</mi><mi>T</mi></mrow></mfrac><mo>)</mo></mrow><mrow><mi>V</mi></mrow></msub></mrow></math></span> and Related Properties in Solidified Gases. I. Solid <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="normal">He</mi></mrow><mrow><mn>4</mn></mrow></msup></mrow></math></span>

John F. Jarvis; Dietolf Ramm; Horst Meyer

doi:10.1103/PhysRev.170.320

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Measurement of ${(\frac{\partial P}{\partial T})}_{V}$ and Related Properties in Solidified Gases. I. Solid ${He}^{4}$

John F. Jarvis, Dietolf Ramm, and Horst Meyer

Department of Physics, Duke University, Durham, North Carolina 27706

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Phys. Rev. 170, 320 – Published 5 June, 1968

DOI: https://doi.org/10.1103/PhysRev.170.320

Abstract

A very sensitive strain gauge that is able to detect pressure changes of 2× $10^{- 5}$ bar inside a small container filled with solidified helium is described. Measurements of the variation of pressure with temperature along several isochores, both in the hcp and in the bcc phase of ${He}^{4}$ , are reported. From these data, the equation of state at $T = 0$ °K is obtained, leading to the compressibility coefficient $k_{T}$ and the change in internal energy as a function of volume. The temperature variation of $k_{T}$ is then obtained at several molar volumes and compared with results from other experiments. The quantity ${(\frac{\partial P}{\partial T})}_{V}$ is tabulated and its temperature variation is discussed. Combination of ${(\frac{\partial P}{\partial T})}_{V}$ data with those of others for the specific heat gives values of the Grüneisen coefficient, which is shown to be volume- and temperature-dependent.

References (20)

J. F. Jarvis, D. Ramm, and H. Meyer, Phys. Rev. Letters 18, 119 (1967) J. F. Jarvis, D. Ramm, H. Meyer, and R. L. Mills, Phys. Letters 25A, 692 (1967)
F. P. Lipschultz, V. J. Minkiewicz, T. A. Kitchens, G. Shirane, and R. Nathans, Phys. Rev. Letters 19, 1307 (1967)
D. O. Edwards and R. C. Pandorf, Phys. Rev. 140, A816 (1965) 152, 494 (E) (1966)
D. O. Edwards and R. C. Pandorf, Phys. Rev. 144, 143 (1966)
J. F. Jarvis and H. Meyer, in Proceedings of the Tenth International Conference on Low Temperature Physics, Moscow, 1966 (Viniti, Moscow, 1967)
G. Ahlers, Phys. Letters 24A 152 (1967) private communication
H. H. Sample and C. A. Swenson, Phys. Rev. 158, 188 (1967)
J. L. Baum, D. F. Brewer, J. G. Daunt, and D. O. Edwards, Phys. Rev. Letters 3, 127 (1959)
A. L. Thomson, H. Meyer, and P. N. Dheer, Phys. Rev. 132, 1455 (1963)
C. Le Pair, R. De Bruyn Ouboter, and J. Pit, Physica 31, 813 (1965)
R. L. Mills and S. G. Sydoriak, Ann. Phys. (N.Y.) 34, 276 (1965)
E. R. Grilly, Phys. Rev. 149, 97 (1966)
A. C. Anderson, W. Reese, and J. C. Wheatley, Phys. Rev. 130, 1644 (1963)
E. D. Adams, G. C. Straty, and E. L. Wall, Phys. Rev. Letters, 15, 549 (1965) G. C. Straty and E. D. Adams, Phys. Rev. 150, 123 (1966) M. F. Panczyk, R. A. Scribner, G. C. Straty, and E. D. Adams, Phys. Rev. Letters 19, 1102 (1967)
J. P. Frank, Phys. Letters 11, 208 (1964) L. P. Mezhov-Deglin, Zh. Eksperim. i Teor. Fiz. 49, 66 (1965) [English transl.: Soviet Phys.—JETP 22, 47 (1966)]
E. R. Grilly and R. L. Mills, Ann. Phys. (N. Y.) 18, 250 (1962)
G. Ahlers, Phys. Rev. 135, A10 (1964)
J. F. Jarvis, Ph.D. thesis, Duke University, 1967 (unpublished)
C. A. Swenson, Phys. Rev. 79, 626 (1950)
E. R. Grilly, in Proceedings of the Tenth International Conference on Low Temperature Physics, Moscow, 1966 (Viniti, Moscow, 1967)

[c1] J. F. Jarvis, D. Ramm, and H. Meyer, Phys. Rev. Letters 18, 119 (1967) J. F. Jarvis, D. Ramm, H. Meyer, and R. L. Mills, Phys. Letters 25A, 692 (1967)

[c2] F. P. Lipschultz, V. J. Minkiewicz, T. A. Kitchens, G. Shirane, and R. Nathans, Phys. Rev. Letters 19, 1307 (1967)

[c3] D. O. Edwards and R. C. Pandorf, Phys. Rev. 140, A816 (1965) 152, 494 (E) (1966)

[c4] D. O. Edwards and R. C. Pandorf, Phys. Rev. 144, 143 (1966)

[c5] J. F. Jarvis and H. Meyer, in Proceedings of the Tenth International Conference on Low Temperature Physics, Moscow, 1966 (Viniti, Moscow, 1967)

[c6] G. Ahlers, Phys. Letters 24A 152 (1967) private communication

[c7] H. H. Sample and C. A. Swenson, Phys. Rev. 158, 188 (1967)

[c8] J. L. Baum, D. F. Brewer, J. G. Daunt, and D. O. Edwards, Phys. Rev. Letters 3, 127 (1959)

[c9] A. L. Thomson, H. Meyer, and P. N. Dheer, Phys. Rev. 132, 1455 (1963)

[c10] C. Le Pair, R. De Bruyn Ouboter, and J. Pit, Physica 31, 813 (1965)

[c11] R. L. Mills and S. G. Sydoriak, Ann. Phys. (N.Y.) 34, 276 (1965)

[c12] E. R. Grilly, Phys. Rev. 149, 97 (1966)

[c13] A. C. Anderson, W. Reese, and J. C. Wheatley, Phys. Rev. 130, 1644 (1963)

[c14] E. D. Adams, G. C. Straty, and E. L. Wall, Phys. Rev. Letters, 15, 549 (1965) G. C. Straty and E. D. Adams, Phys. Rev. 150, 123 (1966) M. F. Panczyk, R. A. Scribner, G. C. Straty, and E. D. Adams, Phys. Rev. Letters 19, 1102 (1967)

[c15] J. P. Frank, Phys. Letters 11, 208 (1964) L. P. Mezhov-Deglin, Zh. Eksperim. i Teor. Fiz. 49, 66 (1965) [English transl.: Soviet Phys.—JETP 22, 47 (1966)]

[c16] E. R. Grilly and R. L. Mills, Ann. Phys. (N. Y.) 18, 250 (1962)

[c17] G. Ahlers, Phys. Rev. 135, A10 (1964)

[c18] J. F. Jarvis, Ph.D. thesis, Duke University, 1967 (unpublished)

[c19] C. A. Swenson, Phys. Rev. 79, 626 (1950)

[c20] E. R. Grilly, in Proceedings of the Tenth International Conference on Low Temperature Physics, Moscow, 1966 (Viniti, Moscow, 1967)

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Measurement of ${(\frac{\partial P}{\partial T})}_{V}$ and Related Properties in Solidified Gases. I. Solid ${He}^{4}$

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Measurement of (∂P∂T)V and Related Properties in Solidified Gases. I. Solid He4

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Measurement of ${(\frac{\partial P}{\partial T})}_{V}$ and Related Properties in Solidified Gases. I. Solid ${He}^{4}$