Compression mechanisms and equations of state

Abstract

Restricted accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Angel R. J. and Ross N. L. 1996Compression mechanisms and equations of statePhil. Trans. R. Soc. A.3541449–1459http://doi.org/10.1098/rsta.1996.0057SectionRestricted accessArticleCompression mechanisms and equations of state R. J. Angel Google Scholar Find this author on PubMed Search for more papers by this author and N. L. Ross Google Scholar Find this author on PubMed Search for more papers by this author R. J. Angel Google Scholar Find this author on PubMed Search for more papers by this author and N. L. Ross Google Scholar Find this author on PubMed Search for more papers by this author Published:15 June 1996https://doi.org/10.1098/rsta.1996.0057AbstractThe derivations of equations of state to describe the volume-pressure variation of a solid are based upon certain assumptions about the properties of the solid. For finite strain equations of state, these assumptions include homogeneity and isotropy of the strain distribution in the sample, the continuous differentiability of the equation of state parameters with respect to extensive variables, and the assumption that terms involving higher-order powers of the finite strain do not contribute significantly to the free energy of the material. We examine these assumptions and demonstrate that, within the experimental uncertainties, crystalline solids with no or limited degrees of internal structural freedom compress in the manner predicted by finite strain equations of state, even though in some cases the assumptions involved in the derivation of the equation of state are demonstrably violated. In more complex structures with a larger number of degrees of structural freedom, a variety of behaviour is observed; most undergo continuous structural change with increasing pressure and the evolution of the volume with pressure again follows that predicted by the finite strain equations of state. However, a significant number of complex structures undergo changes in compression mechanism which, in some cases, result in significant deviations from the behaviour predicted by the equations of state.FootnotesThis text was harvested from a scanned image of the original document using optical character recognition (OCR) software. As such, it may contain errors. Please contact the Royal Society if you find an error you would like to see corrected. Mathematical notations produced through Infty OCR. 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Angel R and Ross N (1997) Equations of state of mantle minerals from high-pressure diffraction, Physics and Chemistry of the Earth, 10.1016/S0079-1946(97)00087-6, 22:1-2, (119-123), Online publication date: 1-Jan-1997. This Issue15 June 1996Volume 354Issue 1711 Article InformationDOI:https://doi.org/10.1098/rsta.1996.0057Published by:Royal SocietyPrint ISSN:1364-503XOnline ISSN:1471-2962History: Published online01/01/1997Published in print15/06/1996 License:Scanned images copyright © 2017, Royal Society Citations and impact