Single-crystal elasticity of stishovite

New experimental data obtained using high-frequency resonant ultrasound spectroscopy and a Gingham check structure model

Akira Yoneda, Titus Cooray, Anton Shatskiy

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Single-crystal elasticity of stishovite was examined using a new experimental technique and an empirical macroscopic model. Employing high-frequency resonant ultrasound spectroscopy, single-crystal elastic constants of stishovite were determined: C 11=443(3), C 33=781(4), C 12=193(2), C 23=199(2), C 44=256(2), and C 33=316(2)GPa. The frequency range of the resonant ultrasound spectroscopy techniques was 6-20MHz, which is much lower than the ~10GHz range of the Brillouin scattering technique. Of the elastic constants, the shear elastic constants C 44 and C 66 are consistent with the average value of the previously mentioned Brillouin scattering. Conversely, the four elastic constants, C 11, C 33, C 12, and C 23, slightly deviate outside the range of previous Brillouin scattering results. The present results, except those for C 12, are consistent with recent lattice dynamic analysis of inelastic X-ray scattering data. The adiabatic bulk modulus was calculated as 298GPa, which is smaller and more consistent with the result of compression experiments than any other Brillouin scattering results (301-312GPa). The present result shows greater P-wave velocity anisotropy (24.7%) than any preceding work. To understand the unique elastic properties of stishovite, the Gingham check model was proposed and examined. The result shows that the octahedron of 6-coordinated Si in stishovite crystal has stiffness comparable to that of diamond.

Original languageEnglish
Pages (from-to)80-86
Number of pages7
JournalPhysics of the Earth and Planetary Interiors
Volume190-191
DOIs
Publication statusPublished - Jan 2012

Fingerprint

stishovite
elasticity
elastic properties
spectroscopy
scattering
crystal
single crystals
lattice dynamics
bulk modulus
elastic property
dynamic analysis
diamond
P-wave
wave velocity
stiffness
P waves
anisotropy
compression
ultrasound
frequency ranges

Keywords

  • Acoustic velocity
  • Bulk modulus
  • Elasticity
  • Finite element method
  • Resonant ultrasound spectroscopy
  • Stishovite

ASJC Scopus subject areas

  • Geophysics
  • Space and Planetary Science
  • Physics and Astronomy (miscellaneous)
  • Astronomy and Astrophysics

Cite this

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abstract = "Single-crystal elasticity of stishovite was examined using a new experimental technique and an empirical macroscopic model. Employing high-frequency resonant ultrasound spectroscopy, single-crystal elastic constants of stishovite were determined: C 11=443(3), C 33=781(4), C 12=193(2), C 23=199(2), C 44=256(2), and C 33=316(2)GPa. The frequency range of the resonant ultrasound spectroscopy techniques was 6-20MHz, which is much lower than the ~10GHz range of the Brillouin scattering technique. Of the elastic constants, the shear elastic constants C 44 and C 66 are consistent with the average value of the previously mentioned Brillouin scattering. Conversely, the four elastic constants, C 11, C 33, C 12, and C 23, slightly deviate outside the range of previous Brillouin scattering results. The present results, except those for C 12, are consistent with recent lattice dynamic analysis of inelastic X-ray scattering data. The adiabatic bulk modulus was calculated as 298GPa, which is smaller and more consistent with the result of compression experiments than any other Brillouin scattering results (301-312GPa). The present result shows greater P-wave velocity anisotropy (24.7{\%}) than any preceding work. To understand the unique elastic properties of stishovite, the Gingham check model was proposed and examined. The result shows that the octahedron of 6-coordinated Si in stishovite crystal has stiffness comparable to that of diamond.",
keywords = "Acoustic velocity, Bulk modulus, Elasticity, Finite element method, Resonant ultrasound spectroscopy, Stishovite",
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AU - Cooray, Titus

AU - Shatskiy, Anton

PY - 2012/1

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N2 - Single-crystal elasticity of stishovite was examined using a new experimental technique and an empirical macroscopic model. Employing high-frequency resonant ultrasound spectroscopy, single-crystal elastic constants of stishovite were determined: C 11=443(3), C 33=781(4), C 12=193(2), C 23=199(2), C 44=256(2), and C 33=316(2)GPa. The frequency range of the resonant ultrasound spectroscopy techniques was 6-20MHz, which is much lower than the ~10GHz range of the Brillouin scattering technique. Of the elastic constants, the shear elastic constants C 44 and C 66 are consistent with the average value of the previously mentioned Brillouin scattering. Conversely, the four elastic constants, C 11, C 33, C 12, and C 23, slightly deviate outside the range of previous Brillouin scattering results. The present results, except those for C 12, are consistent with recent lattice dynamic analysis of inelastic X-ray scattering data. The adiabatic bulk modulus was calculated as 298GPa, which is smaller and more consistent with the result of compression experiments than any other Brillouin scattering results (301-312GPa). The present result shows greater P-wave velocity anisotropy (24.7%) than any preceding work. To understand the unique elastic properties of stishovite, the Gingham check model was proposed and examined. The result shows that the octahedron of 6-coordinated Si in stishovite crystal has stiffness comparable to that of diamond.

AB - Single-crystal elasticity of stishovite was examined using a new experimental technique and an empirical macroscopic model. Employing high-frequency resonant ultrasound spectroscopy, single-crystal elastic constants of stishovite were determined: C 11=443(3), C 33=781(4), C 12=193(2), C 23=199(2), C 44=256(2), and C 33=316(2)GPa. The frequency range of the resonant ultrasound spectroscopy techniques was 6-20MHz, which is much lower than the ~10GHz range of the Brillouin scattering technique. Of the elastic constants, the shear elastic constants C 44 and C 66 are consistent with the average value of the previously mentioned Brillouin scattering. Conversely, the four elastic constants, C 11, C 33, C 12, and C 23, slightly deviate outside the range of previous Brillouin scattering results. The present results, except those for C 12, are consistent with recent lattice dynamic analysis of inelastic X-ray scattering data. The adiabatic bulk modulus was calculated as 298GPa, which is smaller and more consistent with the result of compression experiments than any other Brillouin scattering results (301-312GPa). The present result shows greater P-wave velocity anisotropy (24.7%) than any preceding work. To understand the unique elastic properties of stishovite, the Gingham check model was proposed and examined. The result shows that the octahedron of 6-coordinated Si in stishovite crystal has stiffness comparable to that of diamond.

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