Low Temperature Physics I / Kältephysik I pp 282-337 | Cite as

# Low Temperature Heat Capacity of Solids

Chapter

## Abstract

Since the publication of Eucken’s „Energie und Wärmeinhalt“ [*1*] in 1929 our knowledge of the heat capacity of solids has increased tremendously, especially in the very low temperature region.

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## General References

- [1]Eucken, A.: Energie und Wärmeinhalt, Bd. 8, Teil 1 im Handbuch der Experimentalphysik, Herausg. W. Wien u. F. Harms. Leipzig: Akademische Verlagsgesellschaft 1929.Google Scholar
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**34**, 170–174 (1911).CrossRefzbMATHGoogle Scholar - [2c]Einstein, A.: The first of these papers is historically important as marking two great theoretical advances: the application of Planck’s quantum theory outside its original domain; and the explanation of the failure of the equipartition law as evidenced by atomic heat values for certain elements which are lower than that predicted by the law of Dulong and Petit.Google Scholar
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**39**, 789–839 (1912). — This paper contains Debye’s derivation of his*T*3 law for heat capacity at low temperatures. Besides being of historical interest, his conclusions remain valid, in a restricted temperature range, even in more detailed theories.ADSCrossRefzbMATHGoogle Scholar - [4]Born, M., u. T. v. Kármán: Über Schwingungen in Raumgittern. Phys. Z.
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**14**, 65–71 (1913).Google Scholar - [4c]The first and third of these papers laid the foundation of the lattice theory which has since been developed by many workers, especially Blackman (see reference [
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**8**, 11–30 (1941). — A review of the experimental values of atomic heat at low temperatures, as compared with calculations based on Debye’s theory using elastic constants, and with the lattice theory as developed by Blackman and others. The apparent agreement with the Debye theory is shown in many cases to be largely fortuitous. References are included to Blackman’s original calculations of vibration spectra and to other calculations published up to 1940.ADSCrossRefGoogle Scholar - [6]Born, M., and K. Huang: Dynamical Theory of Crystal Lattices. London: Oxford University Press 1954. — Discussion of the application of lattice theory to a variety of problems. Sect. 4 through 6 treat thermodynamical applications, including heat capacity. A review of the methods which have been devised to evaluate vibration spectra is included, with references.zbMATHGoogle Scholar
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**26**, 277–291 (1954). — A review of magnetic and calorimetric data on superconducting elements, with the data for each element discussed in some detail. A summarizing table includes the crystal structure, normal transition temperature, critical field at absolute zero and magnetic and calorimetric values of*y*.ADSCrossRefGoogle Scholar - [11]Raynor, G. V.: The band structure of metals. Repts. Progr. Phys.
**15**, 173–248 (1952). — A comprehensive survey of theoretical calculations and experimental evidence on metallic band structures. Other types of data receive more attention than the electronic heat capacity.ADSCrossRefGoogle Scholar - [12]Daunt, J. G.: The electronic specific heat of metals. In Progress in Low Temperature Physics, ed. C. J. Gorter, vol. 1, pp. 202–223. Amsterdam and New York: North-Holland Publishing Company and Interscience Publishers, Inc. 1955. — A detailed discussion of the relation of the band structure to the electronic heat capacity, including magnetic evidence from superconductive elements. Extensive references are appended.Google Scholar
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*14*] are especially conveniently arranged.Google Scholar - [16]Serin, B.: The Magnetic threshold curve of superconductors. In Progress in Low Temperature Physics, ed. C. J. Gorter, vol. 1, pp. 138–150. Amsterdam and New York: North-Holland Publishing Company and Interscience Publishers, Inc. 1955. — The relation between the threshold curve and thermodynamic properties is discussed, with data on tin treated in detail.Google Scholar
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- Smoluchowski, R., editor: Phase Transformations in Solids. New York and London: John Wiley & Sons, Inc. and Chapman & Hall, Ltd. 1951. — Ter Haar gives a good account of the basic theory together with some applications. Nakamura and Kikuchi present detailed discussions of particular forms of the theory. The problem of order-disorder, both theoretical and experimental, is considered by Nix and Shockley. The last entry is a symposium in which a variety of cooperative phenomena are treated.Google Scholar

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© Springer-Verlag Berlin Heidelberg 1956