Specific Heat of Niobium-Tin

L. J. Vieland; A. W. Wicklund

doi:10.1103/PhysRev.166.424

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Specific Heat of Niobium-Tin

L. J. Vieland and A. W. Wicklund

RCA Laboratories, Princeton, New Jersey

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Phys. Rev. 166, 424 – Published 10 February, 1968

DOI: https://doi.org/10.1103/PhysRev.166.424

Abstract

The specific heat of ${Nb}_{3}$ Sn has been measured over the temperature range 1-42°K, and in magnetic fields up to 52.5 kG. The data can be interpreted to give $γ = 13.1$ mJ/g atom ° $K^{2}$ , $\frac{Δ C}{γ T_{c}} = 2.4$ , $H_{0} = 5350 G$ , and $κ (T_{c}) = 21.7$ . The Debye temperature $Θ$ appears to increase at the rate of 1°K/°K over most of the range of the measurements, with $Θ (0) = 228^{\circ}$ K. Measurements have also been made on a sample of composition ${Nb}_{4}$ Sn, and on vapor-grown ${Nb}_{3}$ Sn similar to that exhibiting the cubic-tetragonal lattice transformation. The specific heat of ${Nb}_{3}$ Sn can be reconciled with elastic-constant data only if it is assumed that the lattice softening implied by the decreasing velocity of sound with decreasing temperatures is limited to frequencies considerably below the Debye frequency.

References (43)

D. W. Woodard and G. D. Cody, RCA Rev. 25, 393 (1964)
V. Hoffstein and R. W. Cohen, Bull. Am. Phys. Soc. 12, 56 (1967)
K. R. Keller and J. J. Hanak, Phys. Rev. 154, 628 (1967)
J. S. Shier and R. D. Taylor, Bull. Am. Phys. Soc. 12, 378 (1967)
L. J. Vieland and A. W. Wicklund, Phys. Letters 23, 223 (1966)
B. W. Batterman and C. S. Barrett, Phys. Rev. 145, 296 (1966)
R. Mailfert, B. W. Batterman, and J. J. Hanak, Phys. Letters 24A, 315 (1967)
L. R. Testardi, R. R. Soden, E. S. Greiner, J. H. Wernick, and V. G. Chirba, Phys. Rev. 154, 399 (1967)
F. J. Morin and J. P. Maita, Phys. Rev. 129, 1115 (1963)
Cheng Guo-kuang, Liu Ti-Lang, and Kuan Wei-yen, Acta Phys. Sinica 21, 817 (1965)
G. D. Cody and R. W. Cohen, Rev. Mod. Phys. 36, 213 (1964)
H. J. Levinstein and J. E. Kunzler, Phys. Letters 20, 581 (1966)
J. Bardeen, L. N. Cooper, and J. R. Schrieffer, Phys. Rev. 108, 1175 (1957)
D. R. Bosomworth and G. W. Cullen, Phys. Rev. 160, 346 (1967)
Nineteenth Annual Calorimetry Conference, 1964, Washington, D. C. (unpublished)
G. Ahlers, Rev. Sci. Instr. 37, 477 (1966)
D. L. Martin, Can. J. Phys. 38, 17 (1960)
F. E. Hoare, L. C. Jackson, and N. Kurti, Experimental Cryophysics (Butterworths Scientific Publications, Ltd., London, 1961), p. 233
[18], p. 235
A. C. Rose-Innes, Low Temperature Physics (D. Van Nostrand Co., Inc., New York, 1964), p. 40
R. C. Pandorf, C. Y. Chen, and J. G. Daunt, Cryogenics 2, 239 (1962)
W. L. Picklesheimer, Oak Ridge National Laboratory Report No. ORNL 2296, 1957 (unpublished)
L. J. Vieland, RCA Rev. 25, 366 (1964)
S. Maitra and R. E. Prange, University of Maryland Technical Report No. 266, 1965 (unpublished)
B. Muhlschlegel, Z. Physik 155, 313 (1959)
A. T. Hirshfeld, H. A. Leupold, and H. A. Boorse, Phys. Rev. 127, 1501 (1962)
D. K. Finnemore and D. E. Mapother, Phys. Rev. 140, A507 (1965)
H. Suhl, B. T. Matthias, and L. R. Walker, Phys. Rev. Letters 3, 552 (1959)
L. Yunlung Shen, N. M. Senozan, and N. E. Phillips, Phys. Rev. Letters 14, 1025 (1965)
R. Radebaugh and P. H. Keesom, Phys. Rev. 149, 209 (1966)
T. P. Sheahen, Phys. Rev. 149, 368 (1966)
D. L. Decker, D. E. Mapother, and R. W. Shaw, Phys. Rev. 112, 1888 (1958)
K. Maki, Phys. Rev. 148, 362 (1966)
L. P. Gor'kov, Zh. Esperim. i Teor. Fiz. 37, 833 (1959) [English transl.: Soviet Phys.—JETP 10, 593 (1960)]
D. B. Montgomery, Appl. Phys. Letters 6, 108 (1965)
L. J. Vieland, Phys. Letters 15, 23 (1965)
K. Fuchs, Proc. Roy. Soc. (London) 157A, 444 (1936)
W. P. Mason, in American Institute of Physics Handbook (McGraw-Hill Book Co., Inc., New York, 1957), Sec. 3f
L. R. Testardi and T. B. Bateman, Phys. Rev. 154, 402 (1967)
J. M. Ziman, Principles of the Theory of Solids (Cambridge University Press, London, 1964), p. 173
A. M. Clogston, A. C. Gossard, V. Jaccarino, and Y. Yafet, Rev. Mod. Phys. 36, 170 (1964)
G. D. Cody (private communication)
P. W. Anderson and E. I. Blount, Phys. Rev. Letters 14, 217 (1965)

[c1] D. W. Woodard and G. D. Cody, RCA Rev. 25, 393 (1964)

[c2] V. Hoffstein and R. W. Cohen, Bull. Am. Phys. Soc. 12, 56 (1967)

[c3] K. R. Keller and J. J. Hanak, Phys. Rev. 154, 628 (1967)

[c4] J. S. Shier and R. D. Taylor, Bull. Am. Phys. Soc. 12, 378 (1967)

[c5] L. J. Vieland and A. W. Wicklund, Phys. Letters 23, 223 (1966)

[c6] B. W. Batterman and C. S. Barrett, Phys. Rev. 145, 296 (1966)

[c7] R. Mailfert, B. W. Batterman, and J. J. Hanak, Phys. Letters 24A, 315 (1967)

[c8] L. R. Testardi, R. R. Soden, E. S. Greiner, J. H. Wernick, and V. G. Chirba, Phys. Rev. 154, 399 (1967)

[c9] F. J. Morin and J. P. Maita, Phys. Rev. 129, 1115 (1963)

[c10] Cheng Guo-kuang, Liu Ti-Lang, and Kuan Wei-yen, Acta Phys. Sinica 21, 817 (1965)

[c11] G. D. Cody and R. W. Cohen, Rev. Mod. Phys. 36, 213 (1964)

[c12] H. J. Levinstein and J. E. Kunzler, Phys. Letters 20, 581 (1966)

[c13] J. Bardeen, L. N. Cooper, and J. R. Schrieffer, Phys. Rev. 108, 1175 (1957)

[c14] D. R. Bosomworth and G. W. Cullen, Phys. Rev. 160, 346 (1967)

[c15] Nineteenth Annual Calorimetry Conference, 1964, Washington, D. C. (unpublished)

[c16] G. Ahlers, Rev. Sci. Instr. 37, 477 (1966)

[c17] D. L. Martin, Can. J. Phys. 38, 17 (1960)

[c18] F. E. Hoare, L. C. Jackson, and N. Kurti, Experimental Cryophysics (Butterworths Scientific Publications, Ltd., London, 1961), p. 233

[c19] [18], p. 235

[c20] A. C. Rose-Innes, Low Temperature Physics (D. Van Nostrand Co., Inc., New York, 1964), p. 40

[c21] R. C. Pandorf, C. Y. Chen, and J. G. Daunt, Cryogenics 2, 239 (1962)

[c22] W. L. Picklesheimer, Oak Ridge National Laboratory Report No. ORNL 2296, 1957 (unpublished)

[c23] L. J. Vieland, RCA Rev. 25, 366 (1964)

[c24] S. Maitra and R. E. Prange, University of Maryland Technical Report No. 266, 1965 (unpublished)

[c25] B. Muhlschlegel, Z. Physik 155, 313 (1959)

[c26] A. T. Hirshfeld, H. A. Leupold, and H. A. Boorse, Phys. Rev. 127, 1501 (1962)

[c27] D. K. Finnemore and D. E. Mapother, Phys. Rev. 140, A507 (1965)

[c28] H. Suhl, B. T. Matthias, and L. R. Walker, Phys. Rev. Letters 3, 552 (1959)

[c29] L. Yunlung Shen, N. M. Senozan, and N. E. Phillips, Phys. Rev. Letters 14, 1025 (1965)

[c30] R. Radebaugh and P. H. Keesom, Phys. Rev. 149, 209 (1966)

[c31] T. P. Sheahen, Phys. Rev. 149, 368 (1966)

[c32] D. L. Decker, D. E. Mapother, and R. W. Shaw, Phys. Rev. 112, 1888 (1958)

[c33] K. Maki, Phys. Rev. 148, 362 (1966)

[c34] L. P. Gor'kov, Zh. Esperim. i Teor. Fiz. 37, 833 (1959) [English transl.: Soviet Phys.—JETP 10, 593 (1960)]

[c35] D. B. Montgomery, Appl. Phys. Letters 6, 108 (1965)

[c36] L. J. Vieland, Phys. Letters 15, 23 (1965)

[c37] K. Fuchs, Proc. Roy. Soc. (London) 157A, 444 (1936)

[c38] W. P. Mason, in American Institute of Physics Handbook (McGraw-Hill Book Co., Inc., New York, 1957), Sec. 3f

[c39] L. R. Testardi and T. B. Bateman, Phys. Rev. 154, 402 (1967)

[c40] J. M. Ziman, Principles of the Theory of Solids (Cambridge University Press, London, 1964), p. 173

[c41] A. M. Clogston, A. C. Gossard, V. Jaccarino, and Y. Yafet, Rev. Mod. Phys. 36, 170 (1964)

[c42] G. D. Cody (private communication)

[c43] P. W. Anderson and E. I. Blount, Phys. Rev. Letters 14, 217 (1965)

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Specific Heat of Niobium-Tin

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