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Microscopic dynamic and macroscopic thermodynamic character of the I\bar 1 - P\bar 1 phase transition in anorthite
Authors:Simon A T Redfern  Ekhard Salje
Institution:1. Department of Geology, University of Manchester, Oxford Road, M13 9PL, Manchester, UK
2. Department of Chemistry, University of Manchester, Oxford Road, M13 9PL, Manchester, UK
3. Department of Earth Sciences, University of Cambridge, Downing Street, CB2 3EQ, Cambridge, UK
Abstract:The dynamic character of the 
$$I\bar 1 - P\bar 1$$
phase transition in anorthite from Monte Somma has been studied by high-temperature hard mode infrared spectroscopy. The mean local order parameter, as revealed by the temperature evolution of the frequencies of absorption bands between 540 and 620 cm-1, follows classical second-order Landau behaviour with a critical exponent β = 1.. There is no observable first-order step. Anomalous line broadening of the 582 cm-1 band indicates that dynamic fluctuations with a relaxation time τ ≈ 10−10 s exist over a limited temperature interval of approximately 150 K about Tc, and decay rapidly as T becomes greater than Tc. Previous order-disorder models of the high-temperature 
$$I\bar 1$$
phase are not supported by these results. The Ca-flip motions, which we link to the line broadening, stabilize the driving soft mode of the transition. These flip motion fluctuations do not give rise to departures from the classical Landau theory because of the essential co-elastic nature of the phase transition. In the light of these results the 
$$I\bar 1 - P\bar 1$$
structural instability can be described as an essentially displacive transition.
Keywords:
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