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On the atomic volume relations in certain isomorphous series. III.

Published online by Cambridge University Press:  14 March 2018

A. F. Hallimond*
Affiliation:
Museum of Practical Geology, London

Extract

Accurate knowledge of the compressibility of solids was first due in a large measure to the investigations of T. W. Richards, who showed that the pressure-volume curves for sodium and potassium approximate in form to rectangular hyperbolae, that the compressibilities of the free alkali metals are nearly proportional to the atomic volumes, and that the atoms can be treated as filling the available space. Richards then endeavoured to calculate the relative volumes of the combined elements in the alkali halides, assuming that the large contraction which takes place on forming the compound was due to an internal pressure which affected equally the alkali metal and the halogen.

Type
Research Article
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 1929

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References

page 70 note 1 Communicated by permission of the Director. Previous papers of this series in Min. Mag., 1927, vol. 21, p. 277; 1928, vol. 21, p. 480.

page 70 note 2 Richards, T. W., Journ. Amer. Chem. Soc, 1923, vol. 45, pp. 422-437.CrossRefGoogle Scholar Additional data for the compressibilities have been made available in the observations of Adams, Johnson and Williamson, Bridgeman, and Slater. The data were studied extensively by Richards in a series of papers of which a brief account is given in Trans. Faraday Soc, 1928, vol. 24, pp. 53-164, 165-179. A fuller account will be found in Journ. de Chimie Physique, February, 1928, vol. 25, pp. 83-119. News of the death of this distinguished investigator was received only a few weeks after the latter summary appeared (‘Nature’, May 5, 1928). In his later work Richards developed the formula pv = k into relation-ships of the type (p+П)(v—b) = k, but for the present purpose the simpler formula affords an extensive agreement with the data, and will be used as a first approximation to the real form of the pressure-volume curve.

page 72 note 1 Bridgeman, P. W., Proc. Amer. Acad., 1923, vol. 58, pp. 165-242.CrossRefGoogle Scholar

page 73 note 1 Zeits. Krist., 1927, vol. 65, appendix, p. 14.

page 74 note 1 James, R. W. and Firth, Elsie M., Proc. Roy. Soc. London, Ser. A, 1927, vol. 117, pp. 62-87.CrossRefGoogle Scholar

page 74 note 2 Adams, L. H., Journ. Washington Acad. Sci., 1927, vol. 17, pp. 529-533.Google Scholar

page 75 note 1 Slater, J. C., Physical Review, 1924, vol. 23, pp. 488-500.CrossRefGoogle Scholar

page 75 note 2 Both 3·5 and 4·5 lead to less satisfactory results for the halogens.

page 76 note 1 Adams, L. H. and Williamson, E. D., Journ. Franklin Inst., 1923, vol. 195, p. 494.CrossRefGoogle Scholar

page 76 note 2 Hallimond, A. F., Min. Mag., 1927, vol. 21, p. 204.Google Scholar