Abstract
When a crystalline solid is subjected to a temperature increase, its constituent polyhedra may change in size and shape and rotate relative to one another. If the deformation can be approximated by a linear transformation of atomic coordinates, these changes can be quantitatively described in terms of second rank tensors. An iterative least-squares method is used to calculate strain and rotation tensors given the positions of the coordinating atoms of a polyhedron at two temperatures. The method is applied to polyhedral thermal expansions in silicate and oxide minerals.
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Lager, G.A. A novel technique for characterizing thermal expansion in minerals. Phys Chem Minerals 3, 237–249 (1978). https://doi.org/10.1007/BF00633573
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DOI: https://doi.org/10.1007/BF00633573