Elastic anomalies accompanying phase transitions in (Ca,Sr)TiO3 perovskites I: Landau theory and a calibration for SrTiO3

Carpenter, M. A. (2007) Elastic anomalies accompanying phase transitions in (Ca,Sr)TiO3 perovskites I: Landau theory and a calibration for SrTiO3. American Mineralogist, 92 (2-3). pp. 309-327. DOI https://doi.org/10.2138/am.2007.2295

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Landau theory has been used to develop expressions for the elastic anomalies that accompany octahedral tilting transitions in perovskites that are associated with the M and R points of the Brillouin zone. The master equation is a 246 Landau potential with saturation terms that provides phenomenological descriptions of transition sequences from a parent cubic structure through tetragonal or rhombohedral intermediates to orthorhombic or monoclinic product structures. Data from the literature have been used to determine values for all the coefficients required to generate a quantitative description of the PmFormulam{leftrightarrow}I4/mcm transition in SrTiO3, which is taken as a model system. Solutions to the Landau expansion have been adapted to include the general influence of hydrostatic pressure and non-hydrostatic stress on transition temperature and the evolution of the order parameter. Critical examination of elastic constant data from the literature reveals inconsistencies between the results of measurements on tetragonal samples using ultrasonic rather than Brillouin scattering methods. An internally consistent data set has, nevertheless, been assembled. Good qualitative agreement was obtained between the general pattern of calculated and observed variations of all the single crystal elastic constants, and semi-quantitative agreement was obtained for C11, C33, C12, and C13. Some inconsistencies remain in relation to the temperature dependence of the square of the soft mode frequencies in the tetragonal phase, which follow the square of the order parameter rather than its inverse susceptibility, but the 246 potential seems to provide a good description of the structural evolution of SrTiO3 over a wide temperature interval up to the cubic-tetragonal transition point.

Item Type: Article
Additional Information: Includes pdf of Erratum published in American Mineralogist 94, 2009
Uncontrolled Keywords: 2007 AREP IA53 2007 P
Subjects: 03 - Mineral Sciences
Divisions: 03 - Mineral Sciences
Journal or Publication Title: American Mineralogist
Volume: 92
Page Range: pp. 309-327
Identification Number: https://doi.org/10.2138/am.2007.2295
Depositing User: Sarah Humbert
Date Deposited: 16 Feb 2009 13:01
Last Modified: 23 Jul 2013 10:01
URI: http://eprints.esc.cam.ac.uk/id/eprint/183

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