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Quartz as a mineral has a stable crystalline phase at room temperature and atmospheric pressure; at low temperatures it is in the α phase and when it is heated up, it transforms into the β phase through the intermediate (incommensurate)  phase within the temperature interval of nearly 1.3 K at around 847 K. The order parameter Q occurs due to a tilting of SiO4 tetrahedra around the threefold axis, which can be related to variation of the peak-intensity with the temperature in quartz. In this study, we analyze the temperature dependence of the Bragg peak-intensity measured through the α-β transition in quartz, as obtained from the literature according to a power-law formula. From our analysis, we deduce the values of the critical exponent β for the order parameter (Bragg peak-intensity) for the α-incommensurate (IC-)β transition. Our β values indicate that the β-IC phase transition is of a second order and that the IC-α phase transition is of a weak first order, as also reported in the literature

journal of solid state physics

Temperature Dependence of the Bragg Peak-Intensity Close to the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi mathvariant="bold-italic">α</mml:mi></mml:mrow></mml:math>-Incommensurate-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi mathvariant="bold-italic">β</mml:mi></mml:mrow></mml:math> Transition in Quartz

Temperature Dependence of the Bragg Peak-Intensity Close to the α-Incommensurate-β Transition in Quartz