Single-crystal elasticity of zoisite Ca2Al3 Si3O12(OH) by Brillouin scattering

Zhu Mao; Fuming Jiang; Thomas S. Duffy

doi:10.2138/am.2007.2329

Single-crystal elasticity of zoisite Ca₂Al₃ Si₃O₁₂(OH) by Brillouin scattering

Zhu Mao, Fuming Jiang, Thomas S. Duffy

Research output: Contribution to journal › Article › peer-review

35 Scopus citations

Abstract

The single-crystal elastic constants of zoisite Ca₂Al₃Si₃O₁₂(OH) were determined by Brillouin scattering at ambient conditions. The elastic tensor was obtained by an inversion of acoustic velocity data for three different crystal planes. The aggregate bulk modulus, shear modulus, and Poisson's ratio are K_S0 = 125.3(4) GPa, G₀ = 72.9(2) GPa, and σ₀ = 0.26(1) for the VRH (Voigt-Reuss-Hill) average, respectively. The maximum azimuthal anisotropy of zoisite is 22% for compressional velocity and 33% for shear velocity. The maximum shear splitting is 21% along the [001] direction. Our results resolve the discrepancies in bulk modulus and axial compressibilities reported from static compression studies, and provide the first experimental constraints on the shear modulus. Trends in the elastic moduli of minerals in the CaO-Al₂O₃- SiO₂-H₂O (CASH) system are evaluated.

Original language	English (US)
Pages (from-to)	570-576
Number of pages	7
Journal	American Mineralogist
Volume	92
Issue number	4
DOIs	https://doi.org/10.2138/am.2007.2329
State	Published - Apr 2007

All Science Journal Classification (ASJC) codes

Geophysics
Geochemistry and Petrology

Keywords

Brillouin scattering
Elasticity
Single crystal
Zoisite

Access to Document

10.2138/am.2007.2329

Cite this

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title = "Single-crystal elasticity of zoisite Ca2Al3 Si3O12(OH) by Brillouin scattering",

abstract = "The single-crystal elastic constants of zoisite Ca2Al3Si3O12(OH) were determined by Brillouin scattering at ambient conditions. The elastic tensor was obtained by an inversion of acoustic velocity data for three different crystal planes. The aggregate bulk modulus, shear modulus, and Poisson's ratio are KS0 = 125.3(4) GPa, G0 = 72.9(2) GPa, and σ0 = 0.26(1) for the VRH (Voigt-Reuss-Hill) average, respectively. The maximum azimuthal anisotropy of zoisite is 22% for compressional velocity and 33% for shear velocity. The maximum shear splitting is 21% along the [001] direction. Our results resolve the discrepancies in bulk modulus and axial compressibilities reported from static compression studies, and provide the first experimental constraints on the shear modulus. Trends in the elastic moduli of minerals in the CaO-Al2O3- SiO2-H2O (CASH) system are evaluated.",

keywords = "Brillouin scattering, Elasticity, Single crystal, Zoisite",

author = "Zhu Mao and Fuming Jiang and Duffy, {Thomas S.}",

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AU - Mao, Zhu

AU - Jiang, Fuming

AU - Duffy, Thomas S.

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Y1 - 2007/4

N2 - The single-crystal elastic constants of zoisite Ca2Al3Si3O12(OH) were determined by Brillouin scattering at ambient conditions. The elastic tensor was obtained by an inversion of acoustic velocity data for three different crystal planes. The aggregate bulk modulus, shear modulus, and Poisson's ratio are KS0 = 125.3(4) GPa, G0 = 72.9(2) GPa, and σ0 = 0.26(1) for the VRH (Voigt-Reuss-Hill) average, respectively. The maximum azimuthal anisotropy of zoisite is 22% for compressional velocity and 33% for shear velocity. The maximum shear splitting is 21% along the [001] direction. Our results resolve the discrepancies in bulk modulus and axial compressibilities reported from static compression studies, and provide the first experimental constraints on the shear modulus. Trends in the elastic moduli of minerals in the CaO-Al2O3- SiO2-H2O (CASH) system are evaluated.

AB - The single-crystal elastic constants of zoisite Ca2Al3Si3O12(OH) were determined by Brillouin scattering at ambient conditions. The elastic tensor was obtained by an inversion of acoustic velocity data for three different crystal planes. The aggregate bulk modulus, shear modulus, and Poisson's ratio are KS0 = 125.3(4) GPa, G0 = 72.9(2) GPa, and σ0 = 0.26(1) for the VRH (Voigt-Reuss-Hill) average, respectively. The maximum azimuthal anisotropy of zoisite is 22% for compressional velocity and 33% for shear velocity. The maximum shear splitting is 21% along the [001] direction. Our results resolve the discrepancies in bulk modulus and axial compressibilities reported from static compression studies, and provide the first experimental constraints on the shear modulus. Trends in the elastic moduli of minerals in the CaO-Al2O3- SiO2-H2O (CASH) system are evaluated.

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