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- W4312122011 abstract "Elastic softening in the paraelastic phases of Ba$_{1-x}$Sr$_{x}$TiO$_{3}$ is largest near the transition temperatures and decreases on heating smoothly over extended temperature ranges. Softening extends to the highest measured temperature(850~K) for Ba-rich compounds. The temperature evolution of the excess compliance of the precursor softening follows a power law $delta Spropto |T-T_{mathrm{C}}|^{-kappa }$ with a characteristic exponent $kappa $ ranging between 1.5 in SrTiO$_{3}$ and 0.2 in BaTiO$_{3}$. The latter value is below the estimated lower bounds of displacive systems with three orthogonal soft phonon branches (0.5). An alternative Vogel-Fulcher analysis shows that the softening is described by extremely low Vogel-Fulcher energies $E_{a}$, which increase from SrTiO$_{3}$% to BaTiO$_{3}$ indicating a change from a displacive to a weakly order/disorder character of the elastic precursor. Mixed crystals of Ba$_{x}$% Sr$_{1-x}$TiO$_{3}$ possess intermediate behaviour. The amplitudes of the precursor elastic softening increases continuously from SrTiO$_{3}$ to BaTiO$% _{3}$. Using power law fittings reveals that the elastic softening is still $% 33%$ of the unsoftened Young's modulus at temperatures as high as 750 K in BaTiO$_{3}$ with $kappa simeq $ 0.2. This proves that the high temperature elastic properties of these materials are drastically affected by elastic precursor softening." @default.
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- W4312122011 date "2022-12-22" @default.
- W4312122011 modified "2023-10-01" @default.
- W4312122011 title "Elastic precursor effects during the Ba$_{1-x}$Sr$_{x}$TiO$_{3}$ ferroelastic phase transitions" @default.
- W4312122011 doi "https://doi.org/10.48550/arxiv.2212.11564" @default.
- W4312122011 hasPublicationYear "2022" @default.
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