Single-crystal elastic properties of (Mg0.987, Fe0.013) O to 9 GPa

Hanni J. Reichmann, S. V. Sinogeikin, J. D. Bass

Research output: Contribution to journalArticle

Abstract

The single-crystal elastic moduli of (Mg0.987, Fe0.013)O were measured by Brillouin spectroscopy in a diamond-anvil cell at high pressures to 9 GPa at room temperature. The ambient-pressure single-crystal elastic moduli are (1) C11 = 291.2(3.0) GPa; (2) C12= 96.1(2.0) GPa; and (3) C'44 = 151.9(2.0) GPa. From the single-crystal moduli, the aggregate elastic moduli are calculated to be adiabatic bulk modulus Kso = 161.1(3.0) GPa, the Voigt bound of the shear modulus is Gv = 130.0(2.0), and the Reuss bound GR = 124.2(2.0) GPa, giving a Voigt-Reuss-Hill average G = 127.1(2.0) GPa. We find that the addition of 1.3 mol% of Fe has a surprisingly large effect on the aggregate shear modulus, decreasing the room-pressure value by 2.4% as compared to Brillouin data for periclase (MgO) measured with the same technique. The adiabatic bulk modulus also decreases by 1.3%, although this decrease is within the mutual uncertainties of the measurements. Our results confirm significant non-linearity in single-crystal elastic moduli C11 and C44 and the aggregate shear modulus G of magnesiowütite in the Mg-rich end. The pressure derivative of the bulk modulus K's = 4.2(2), as determined by a third-order finite-strain fit, is about 9% higher than the Brillouin results for the MgO end-member, whereas the pressure dependence of the shear modulus G'= 23(l) is found to be identical to that of periclase. The measurements demonstrate that even a small amount of Fe (1.3 mol%) has a measurable effect on the elastic properties of MgO-FeO solid solutions.

Original languageEnglish (US)
Pages (from-to)1306-1311
Number of pages6
JournalAmerican Mineralogist
Volume93
Issue number8-9
DOIs
StatePublished - Aug 1 2008

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elastic property
shear modulus
elastic modulus
bulk modulus
modulus of elasticity
elastic properties
Elastic moduli
Single crystals
periclase
crystal
shear
single crystals
diamond anvil cell
anvils
solid solution
pressure dependence
nonlinearity
rooms
solid solutions
diamonds

Keywords

  • Brillouin interferometry
  • Elastic properties
  • High press
  • Magnesiowüstite

ASJC Scopus subject areas

  • Geophysics
  • Geochemistry and Petrology

Cite this

Single-crystal elastic properties of (Mg0.987, Fe0.013) O to 9 GPa. / Reichmann, Hanni J.; Sinogeikin, S. V.; Bass, J. D.

In: American Mineralogist, Vol. 93, No. 8-9, 01.08.2008, p. 1306-1311.

Research output: Contribution to journalArticle

Reichmann, Hanni J. ; Sinogeikin, S. V. ; Bass, J. D. / Single-crystal elastic properties of (Mg0.987, Fe0.013) O to 9 GPa. In: American Mineralogist. 2008 ; Vol. 93, No. 8-9. pp. 1306-1311.
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abstract = "The single-crystal elastic moduli of (Mg0.987, Fe0.013)O were measured by Brillouin spectroscopy in a diamond-anvil cell at high pressures to 9 GPa at room temperature. The ambient-pressure single-crystal elastic moduli are (1) C11 = 291.2(3.0) GPa; (2) C12= 96.1(2.0) GPa; and (3) C'44 = 151.9(2.0) GPa. From the single-crystal moduli, the aggregate elastic moduli are calculated to be adiabatic bulk modulus Kso = 161.1(3.0) GPa, the Voigt bound of the shear modulus is Gv = 130.0(2.0), and the Reuss bound GR = 124.2(2.0) GPa, giving a Voigt-Reuss-Hill average G = 127.1(2.0) GPa. We find that the addition of 1.3 mol{\%} of Fe has a surprisingly large effect on the aggregate shear modulus, decreasing the room-pressure value by 2.4{\%} as compared to Brillouin data for periclase (MgO) measured with the same technique. The adiabatic bulk modulus also decreases by 1.3{\%}, although this decrease is within the mutual uncertainties of the measurements. Our results confirm significant non-linearity in single-crystal elastic moduli C11 and C44 and the aggregate shear modulus G of magnesiow{\"u}tite in the Mg-rich end. The pressure derivative of the bulk modulus K's = 4.2(2), as determined by a third-order finite-strain fit, is about 9{\%} higher than the Brillouin results for the MgO end-member, whereas the pressure dependence of the shear modulus G'= 23(l) is found to be identical to that of periclase. The measurements demonstrate that even a small amount of Fe (1.3 mol{\%}) has a measurable effect on the elastic properties of MgO-FeO solid solutions.",
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AU - Sinogeikin, S. V.

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N2 - The single-crystal elastic moduli of (Mg0.987, Fe0.013)O were measured by Brillouin spectroscopy in a diamond-anvil cell at high pressures to 9 GPa at room temperature. The ambient-pressure single-crystal elastic moduli are (1) C11 = 291.2(3.0) GPa; (2) C12= 96.1(2.0) GPa; and (3) C'44 = 151.9(2.0) GPa. From the single-crystal moduli, the aggregate elastic moduli are calculated to be adiabatic bulk modulus Kso = 161.1(3.0) GPa, the Voigt bound of the shear modulus is Gv = 130.0(2.0), and the Reuss bound GR = 124.2(2.0) GPa, giving a Voigt-Reuss-Hill average G = 127.1(2.0) GPa. We find that the addition of 1.3 mol% of Fe has a surprisingly large effect on the aggregate shear modulus, decreasing the room-pressure value by 2.4% as compared to Brillouin data for periclase (MgO) measured with the same technique. The adiabatic bulk modulus also decreases by 1.3%, although this decrease is within the mutual uncertainties of the measurements. Our results confirm significant non-linearity in single-crystal elastic moduli C11 and C44 and the aggregate shear modulus G of magnesiowütite in the Mg-rich end. The pressure derivative of the bulk modulus K's = 4.2(2), as determined by a third-order finite-strain fit, is about 9% higher than the Brillouin results for the MgO end-member, whereas the pressure dependence of the shear modulus G'= 23(l) is found to be identical to that of periclase. The measurements demonstrate that even a small amount of Fe (1.3 mol%) has a measurable effect on the elastic properties of MgO-FeO solid solutions.

AB - The single-crystal elastic moduli of (Mg0.987, Fe0.013)O were measured by Brillouin spectroscopy in a diamond-anvil cell at high pressures to 9 GPa at room temperature. The ambient-pressure single-crystal elastic moduli are (1) C11 = 291.2(3.0) GPa; (2) C12= 96.1(2.0) GPa; and (3) C'44 = 151.9(2.0) GPa. From the single-crystal moduli, the aggregate elastic moduli are calculated to be adiabatic bulk modulus Kso = 161.1(3.0) GPa, the Voigt bound of the shear modulus is Gv = 130.0(2.0), and the Reuss bound GR = 124.2(2.0) GPa, giving a Voigt-Reuss-Hill average G = 127.1(2.0) GPa. We find that the addition of 1.3 mol% of Fe has a surprisingly large effect on the aggregate shear modulus, decreasing the room-pressure value by 2.4% as compared to Brillouin data for periclase (MgO) measured with the same technique. The adiabatic bulk modulus also decreases by 1.3%, although this decrease is within the mutual uncertainties of the measurements. Our results confirm significant non-linearity in single-crystal elastic moduli C11 and C44 and the aggregate shear modulus G of magnesiowütite in the Mg-rich end. The pressure derivative of the bulk modulus K's = 4.2(2), as determined by a third-order finite-strain fit, is about 9% higher than the Brillouin results for the MgO end-member, whereas the pressure dependence of the shear modulus G'= 23(l) is found to be identical to that of periclase. The measurements demonstrate that even a small amount of Fe (1.3 mol%) has a measurable effect on the elastic properties of MgO-FeO solid solutions.

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