Transformation Processes in Minerals (Reviews in Mineralogy by Simon A. T. Redfern, Michael A. Carpenter

By Simon A. T. Redfern, Michael A. Carpenter

Publication by means of Redfern, Simon A. T.

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21 22 Dove, Trachenko, Tucker & Keen Figure 17. Temperature dependence of the mean Si–O bond length, determined from the T(r) functions, 〈Si–O〉, compared with the distance between the mean positions of the Si and O atoms, 〈Si〉– 〈O〉, determined by Rietveld refinement methods. Figure 18. Si–Si–Si angle distribution function for quartz for the same range of temperatures as shown in Figure 15 (top). The positions and widths of the two peaks that coalesce are shown as a function of temperature in the lower plots.

K. , is i usually aaccompaniedd by changges in latticce param meters. If su uitable refereence states are a defined, such lattice parameter vvariations caan be deescribed quantitatively as a combination of llinear and sshear strainns. What waas origin nally a geom metrical desscription theen becomes a thermodyynamic desccription if thhe relatiionships of the strains to o the elastic constants arre also defineed. For a phhase transitioon in wh hich the parrent and product phasees are relateed by symm metry, only very specifi fic comb binations of strain will be b consistentt with the syymmetry chaange, and thhe magnitudees of eaach strain wiill depend diirectly on th he extent of transformatiion.

Phys Chem Minerals 27:285–290 Heaney PJ (1994) Structure and chemistry of the low-pressure silica polymorphs. Rev Mineral 29:1–40 Heine V, Welche PRL, Dove MT (1999) Geometric origin and theory of negative thermal expansion in framework structures. J Am Ceramic Soc 82:1793–1802 Hua GL, Welberry TR, Withers RL, Thompson JG (1988) An electron-diffraction and lattice-dynamical study of the diffuse scattering in β-cristobalite, SiO2. Journal of Applied Crystallogr 21:458–465 Keen DA (1997) Refining disordered structural models using reverse Monte Carlo methods: Application to vitreous silica.

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