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On the volume of solid solutions: an anisotropic approach

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Abstract

The dependence of the unit cell volume on intensive parameters as temperature T, pressure p, or concentration x is considered in thermodynamic calculations through bulk properties like thermal expansion, compressibility or the partial molar volume. On the other hand, crystal physics takes account of the anisotropy—inherent to crystals—and hence aims at the study of the behaviour of the individual cell parameters through a tensorial description. In this contribution, we show how the established use of the strain–tensor can be extended in order to minimize uncertainties or even fallacies in the treatment of the volume of solid solutions.

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Acknowledgements

We wish to thank the Deutsche Forschungsgemeinschaft (DFG) for financial support (De 412/27-1, 2), S. Bass and E. Kirchhof for their help with some of the syntheses and H. Küppers and P. Tolédano for their kind advice. Two anonymous reviewers helped us in improving the manuscript and are gratefully acknowledged.

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Correspondence to L. Peters.

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Peters, L., Knorr, K., Schmid-Beurmann, P. et al. On the volume of solid solutions: an anisotropic approach. Phys Chem Minerals 33, 10–16 (2006). https://doi.org/10.1007/s00269-005-0057-7

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  • DOI: https://doi.org/10.1007/s00269-005-0057-7

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