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Calibration of Al/Si order variations in anorthite
Authors:M A Carpenter  R J Angel  L W Finger
Institution:(1) Department of Earth Sciences, University of Cambridge, Downing Street, CB2 3EQ Cambridge, England;(2) Department of Geological Sciences, University College London, Gower Street, WC1E 6BT London, England;(3) Department of Crystallography, Birkbeck College, Malet Street, WC1E 7HX London, England;(4) Geophysical Laboratory, 2801 Upton Street, NW, 20008 Washington DC, USA
Abstract:New single crystal diffraction data for natural and heat-treated anorthite crystals (Angel et al. 1990) allow the determination of their states of Al/Si order in terms of a macroscopic order parameter,Q OD , for the transition. Numerical values ofQ OD obtained from estimates of site occupancies are shown to vary with the scalar spontaneous strain, epsi s , as epsi s propQ OD 2 , and with the ratio of the sums of typeb (superlattice) reflections and typea (sublattice) reflections asSgrI b/SgrI a propQ OD 2 . An empirical calibration for pure anorthite is obtained giving 
$$Q_{OD}  = 10.1\left( 5 \right)\sqrt {\varepsilon _s } $$
varies between sim 0.92 and sim 0.87 in samples equilibrated at Tle1300° C, but then falls off relatively rapidly with increasing temperature, reaching sim 0.7 near the melting point (sim 1557° C). The observed temperature dependence does not conform to the predictions of the simplest single order parameter models; coupling ofQ OD withQ of the transition is suspeeted.
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