Abstract
Improvements have been made in a differential dilatometer using the three-terminal capacitance detector. The dilatometer is of copper and has been calibrated from 1.5–34 K in an extended series of observations using silicon and lithium fluoride as low-expansion reference materials. The expansion of silver and gold samples has been measured relative to the dilatometer, while the calibrations themselves have been used to determine the expansion of copper relative to the reference materials. Analyses of six sets of observations indicate that below 12 K the linear expansion coefficient α of copper is represented by
corresponding to respective electronic and lattice Grüneisen parameters γ e =0.9 3 and γ 0 =γ 1 =1.78. Measurements on oxygen-free silver yield
below 7 K, whence γ e ≃ 0.9 7 , γ 0 =γ 1 =2.23. By contrast, silver containing ca. 0.02 at. % oxygen showed a much larger expansion at the lowest temperatures: below 7 K, 1010α ∼ 7T+1.19T 3. We have not been able to obtain an unambiguous representation for gold, but find a reasonable fit below 7 K to be
with γ 1 ≃ 2.94 and γ e ≳ 0.7 (free-electron value).
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References
R. H. Carr, R. D. McCammon, and G. K. White,Proc. Roy. Soc. (London)A280, 72 (1964).
R. H. Carr and C. A. Swenson,Cryogenics 4, 76 (1964).
J. M. Shapiro, D. R. Taylor, and G. M. Graham,Can. J. Phys. 42, 835 (1964).
J. F. Kos and J. L. G. Lamarche,Can. J. Phys. 47, 2509 (1969).
F. N. D. Pereira, C. H. Barnes, and G. M. Graham,J. Appl. Phys. 41, 5050 (1970).
G. M. Graham, Univ. of Toronto, to be published.
J. G. Collins and G. K. White,Progr. Low Temp. Phys. 4, 450 (1964).
T. H. K. Barron,Phil. Mag. 46, 720 (1955).
K. O. McLean, C. A. Swenson, and C. R. Case,J. Low Temp. Phys. 7, 77 (1972) (the following paper in this issue).
G. K. White,Cryogenics 1, 151 (1961).
J. S. Rogers, R. J. Tainsh, M. S. Anderson, and C. A. Swenson,Metrologia 4, 47 (1968).
C. P. Pickup and W. R. G. Kemp,Cryogenics 9, 90 (1969).
R. H. Carr, R. D. McCammon, and G. K. White,Phil. Mag. 12, 157 (1965).
P. W. Sparks and C. A. Swenson,Phys. Rev. 163, 779 (1967).
H. Ibach,Phys. Status Solidi 31, 625 (1969).
G. K. White,Proc. Roy. Soc. (London)A286, 204 (1965).
G. K. White and A. T. Pawlowicz,J. Low Temp. Phys. 2, 631 (1970).
G. K. White,Proc. First Thermal Expansion Symp., Washington, 1968, to be published.
G. K. White, to be published.
T. Rubin, H. W. Altman, and H. L. Johnston,J. Am. Chem. Soc. 76, 5289 (1954).
T. A. Hahn,J. Appl. Phys. 41, 5096 (1970); C. G. Kirby and H. Preston-Thomas, private communication, 1968.
G. Hetherington and K. H. Jack,Phys. Chem. Glasses 3, 129 (1962).
D. N. Batchelder and R. O. Simmons,J. Chem. Phys. 41, 2324 (1964).
D. F. Gibbons,Phys. Rev. 112, 136 (1958).
G. K. White,Proc. Third Symp. on Thermal Expansion, Corning, N.Y., 1971.
R. K. Kirby and T. A. Hahn, private communication, 1970.
T. H. K. Barron and J. A. Morrison,Can. J. Phys 35, 799 (1957).
M. Blackman,Handb. d. Phys. VII/1, 325 (1955).
American Institute of Physics Handbook, 2nd ed. (McGraw-Hill, New York, 1963).
W. C. Overton and J. Gaffney,Phys. Rev. 98, 969 (1955).
J. R. Neighbours and G. A. Alers,Phys. Rev. 111, 707 (1958).
G. T. Furukawa, W. G. Saba, and M. L. Reilly, NSRDS-NBS 18, U.S. Govt. Printing Office, Washington, D.C., 1968.
D. L. Martin,Phys. Rev. 170, 650 (1968).
F. W. Sheard,Phil. Mag. 3, 1381 (1958).
W. B. Daniels,Phys. Rev. Letters 8, 3 (1962).
J. G. Collins,Phil. Mag. 8, 323 (1963).
D. E. Schuele and C. S. Smith,J. Phys. Chem. Solids 25, 801 (1964).
W. B. Daniels and C. S. Smith,Phys. Rev. 111, 713 (1958).
P. S. Ho, J. P. Poirier, and A. L. Ruoff,Phys. Status Solidi 35, 1017 (1969).
K. Salama and G. A. Alers,Phys. Rev. 161, 673 (1967).
Y. Hiki and A. V. Granato,Phys. Rev. 144, 411 (1966); see also Y. Hiki, A. V. Granato, and J. F. Thomas,Phys. Rev. 153, 764 (1967).
C. S. Smith, private communication.
G. R. Barsch and Z. P. Chang,Phys. Status Solidi 19, 139 (1967).
I. M. Templeton,Proc. Roy. Soc. (London)A292, 413 (1966).
W. J. O'Sullivan and J. E. Schirber,Phys. Rev. 170, 667 (1968).
J. G. Collins,Ann. Acad. Sci. Fennicae AVI, No. 210, 239 (1966).
H. L. Davis, J. S. Faulkner, and H. W. Joy,Phys. Rev. 167, 601 (1968).
R. W. Munn,Phys. Letters 29A, 395 (1969).