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The energy of twin-crystals

Published online by Cambridge University Press:  14 March 2018

Extract

Vernadsky has pointed out that in certain cases a twin-crystal appears to be a more stable form than the simple polyhedron, as proved by Scacchi's observation that twins sometimes exceed in magnitude and regularity simple crystals growing in the same solution. He suggests that an explanation can be found in the fact that the surfaceenergy may be tess for a twin than for a simple crystal of the same volume. The suggestion is a valuable one, but Vernadsky applies no quantitative test to his theory.

Type
Research Article
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 1909

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References

Page 245 note 1 Vernadsky, W., ‘Beitriige zur Energetik tier Krystalle.’ Zeits. Kryst. Min., 1908, vol. xlv, pp. 124142.Google Scholar

Page 245 note 2 See Hilton's ‘Mathematical Crystallography’, 1903, p. 107. With the notation there used n't = ρkt, and therefore 3 V = Σn's = ρΣks = ρE.

Page 246 note 1 The volume increases as the cube, and the surface-energy as the square of the linear dimensions of the crystal.