Abstract
There has been a remarkable symbiosis between crystal chemistry and the study of cellular structures such as that of foams. This was already foreshadowed by Kelvin in that the structure, originally proposed by him as the division of space with minimal surface area (and hence as the structure of a minimal energy foam of equal bubbles), also plays a prominent role in his discourse On the Molecular Tactics of a Crystal [2]. The Kelvin structure is, of course, derived from a space-filling packing of truncated octahedra and is better known to the crystal chemist as the framework of the sodalite structure. In this context it is considered the prototype of a series of framework structures built up of packings of simple polyhedra (those with three faces meeting at each vertex) generically known in the case of silicates as clathrasils, but of wide occurrence in crystal chemistry in other contexts as well.
One of the great lessons of condensed matter physics is that nature is more fertile than the human imagination in devising ways for matter to organize itself into coherent structures. —D. C. Wright & N. D. Mermin [1]
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O’Keeffe, M. (1999). Crystal Structures as Periodic Foams and Vice Versa . In: Sadoc, J.F., Rivier, N. (eds) Foams and Emulsions. NATO ASI Series, vol 354. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9157-7_24
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DOI: https://doi.org/10.1007/978-94-015-9157-7_24
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