Brillouin scattering of SrTiO<sub>3</sub>under high pressure

Ishidate, Takeo; Sasaki, Shigeo; Inoue, Kuon

doi:10.1080/08957958808202480

Cited by 36 publications

(36 citation statements)

References 26 publications

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“…Several experimental and theoretical studies have explained the cubic-tetragonal transition in SrTiO 3 . Among those studies, acoustic measurements at low temperatures [5][6][7] and at high pressures [8] and Brillouin [9], Raman [1,10], and X-ray diffraction [1] have been reported, as was also pointed out previously [1].…”

Section: Introductionmentioning

confidence: 99%

Calculation of the frequency shifts and damping constant for the Raman modes (A$_{1g}$, B$_{1})$ near the tetragonal-cubic transition in SrTiO$_{3}$

Kiraci¹,

Yurtseven²

2017

Turk J Phys

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Raman shifts of the soft mode A 1g and the B 1 mode are calculated at various pressures at room temperature for the cubic-tetragonal transition (P C = 9.5 GPa) in SrTiO 3 . This calculation is performed using the observed volume data through the mode Grüneisen parameters of A 1g and B 1 , which vary with pressure, by fitting to the experimental wavenumbers in this crystalline system. Calculated Raman shifts are then used as order parameters to predict the pressure dependence of the damping constant and the inverse relaxation time for the cubic-tetragonal transition in SrTiO 3 . Our predictions from the pseudospin-phonon coupling and the energy fluctuation models can be compared with the experimental measurements when available in the literature.

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Section: Introductionmentioning

confidence: 99%

Calculation of the frequency shifts and damping constant for the Raman modes (A$_{1g}$, B$_{1})$ near the tetragonal-cubic transition in SrTiO$_{3}$

Kiraci¹,

Yurtseven²

2017

Turk J Phys

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“…Straight lines are fits to the data at low pressures for cubic states, while broken lines are the calculated variations of K and G for tetragonal CST95 (λ 4 = 0.11 GPa, P c = 2.11 GPa), relative to the extrapolation of the fits to data for the cubic structure. Dotted lines represent trends of data from the literature for SrTiO 3 (Beattie and Samara, 1971;Ishidate et al, 1988;Fischer et al, 1989Fischer et al, , 1993Lheureux et al, 1999). lated variations are based on a solution for q 4 and e t which is somewhat speculative in assuming that the thermodynamic character is intermediate between tricritical for CST92 and 246 for SrTiO 3 , however, (λ 4 = −0.11 GPa).…”

Section: Elastic Anomalies As a Function Of Pressurementioning

confidence: 99%

“…At room temperature, e t is zero in cubic CST92 CST100 but it then increases with increasing Ca content from CST92. The evolution of q 4 2 at T = 295 K is given by Equation 2, with (Bell and Rupprecht, 1963;Liebermann et al, 1977;Ishidate et al, 1988;Ledbetter et al, 1990;Fischer et al, 1993;Sinelnikov et al, 1998;Kung and Rigden, 1999;Lheureux et al, 1999;Webb et al, 1999).…”

Section: Elastic Anomalies As a Function Of Compositionmentioning

confidence: 99%

Section: Elastic Anomalies As a Function Of Pressurementioning

confidence: 99%

“…The single crystal data given by Ishidate et al (1988) were collected using Brillouin spectroscopy. At pressures above 6.4 GPa they were from within a single twin domain of the tetragonal structure (Ishidate et al, 1988). Neither of C 66 and show any deflection through the transition point, as predicted by applying Equation 7 to Equation 1, while the data for C 11 agree closely with the calculated variations.…”

Section: Elastic Anomalies As a Function Of Pressurementioning

confidence: 99%

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Structural evolution, strain and elasticity of perovskites at high pressures and temperatures

Carpenter

Sondergeld

et al. 2006

Journal of Mineralogical and Petrological Sciences

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Octahedral tilting transitions in perovskites are usually identified by the significant lattice distortions which accompany them. The underlying mechanism of coupling between the tilts and the macroscopic strain also gives rise to large anomalies in single crystal and bulk elastic moduli. Landau theory provides an effective framework for describing these different changes in properties and relating them, quantitatively, to the evolution of the driving order parameter for the transition. This approach has been used to analyse the overall elastic behaviour of perovskites belonging to the CaTiO 3 SrTiO 3 (CST) solid solution, which is expected to be closely analogous to the behaviour of silicate perovskites at higher pressures and temperatures. Pm3 m ↔ I4/mcm and I4/mcm ↔ Pnma transitions in CST perovskites are marked by changes in the shear modulus of ~ 10 30%. The evolution of the order parameter and, hence, of the octahedral tilt angles through these can be followed through the variations of spontaneous strains extracted from high resolution lattice parameter data. Contributions to the elastic softening which are due to strain/octahedral tilt coupling have been calculated using a fully parameterised Landau model of the Pm3 m ↔ I4/mcm transition as a function of temperature, pressure and composition. Differences between calculated elastic constants and experimental data from Dynamical Mechanical Analysis, pulse echo ultrasonics and Resonant Ultrasound Spectroscopy suggest that a proportion of the total softening in tetragonal samples may be due to anelastic effects. The anelastic contributions are observed at frequencies of both a few Hz and 10's of MHz, and can be understood in terms of strain contributions arising from movements of transformation twin walls in response to an externally applied shear stress. Similar transitions in other perovskites are likely to display small anomalies in the bulk modulus, due to weak coupling between octahedral tilts and volume strain, but much larger anomalies in the shear modulus. The elastic properties of tetragonal and orthorhombic structures are likely to be quite different due to different anelastic contributions from twin wall displacements.

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Brillouin scattering at high pressure: an overview

Polian

2003

J Raman Spectroscopy

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Brillouin scattering allows the determination of acoustic velocities and adiabatic elastic moduli in matter. These data are crucial in many areas of science, such as fundamental physics, geosciences and technology, especially when measured as a function of the density (pressure). In this paper, we present a review of the work performed on Brillouin scattering under high pressure in diamond anvil cells, emphasizing the most recent results.

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Brillouin scattering of SrTiO₃under high pressure

Cited by 36 publications

References 26 publications

Calculation of the frequency shifts and damping constant for the Raman modes (A$_{1g}$, B$_{1})$ near the tetragonal-cubic transition in SrTiO$_{3}$

Calculation of the frequency shifts and damping constant for the Raman modes (A$_{1g}$, B$_{1})$ near the tetragonal-cubic transition in SrTiO$_{3}$

Structural evolution, strain and elasticity of perovskites at high pressures and temperatures

Brillouin scattering at high pressure: an overview

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Brillouin scattering of SrTiO3under high pressure

Cited by 36 publications

References 26 publications

Calculation of the frequency shifts and damping constant for the Raman modes (A$_{1g}$, B$_{1})$ near the tetragonal-cubic transition in SrTiO$_{3}$

Calculation of the frequency shifts and damping constant for the Raman modes (A$_{1g}$, B$_{1})$ near the tetragonal-cubic transition in SrTiO$_{3}$

Structural evolution, strain and elasticity of perovskites at high pressures and temperatures

Brillouin scattering at high pressure: an overview

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Brillouin scattering of SrTiO₃under high pressure