Temperature variation of elastic constants of single-crystal forsterite between -190.DEG. and 400.DEG.C.

Elastic constants of forsterite Mg2SiO4 were measured by the rectangular parallelepiped resonance (RPR) method at temperatures between -190° and 400°C. Elastic constant Cij(Mbar) and their temperature derivatives ∂Cij/∂T (kbar/deg) are:The adiabatic bulk modulus Ks=1.292Mbar (25°C) and its temperature derivatives ∂Ks/∂T=-0.160kbar/deg (20°-400°C) are obtained by the Voigt-Reuss-Hill scheme.In the temperature range from 100 to 1000K, the Gruneisen constant calculated from the measured bulk modulus is virtually constant at 1.1±0.1, while the Gruneisen-Anderson parameter δs, defined as -(∂ In Ks/∂T)/α(α: the coefficient of volume thermal expansion), decreases with increase of temperature, but tends to approach a constant value of 4.0±0.1 above 500K.

[1]  Mineo Kumazawa,et al.  MEASUREMENT OF ELASTIC CONSTANTS AND INTERNAL FRICTIONS ON SINGLE-CRYSTAL MgO BY RECTANGULAR PARALLELEPIPED RESONANCE , 1976 .

[2]  H. Spetzler,et al.  Equation of State of Polycrystalline and Single‐Crystal MgO to 8 Kilobars and 800°K , 1970 .

[3]  I. Ohno,et al.  FREE VIBRATION OF A RECTANGULAR PARALLELEPIPED CRYSTAL AND ITS APPLICATION TO DETERMINATION OF ELASTIC CONSTANTS OF ORTHORHOMBIC CRYSTALS , 1976 .

[4]  I. Suzuki Thermal Expansion of Periclase and Olivine, and their Anharmonic Properties , 1975 .

[5]  Mineo Kumazawa,et al.  Elastic moduli, pressure derivatives, and temperature derivatives of single‐crystal olivine and single‐crystal forsterite , 1969 .

[6]  Harold H. Demarest,et al.  Cube‐Resonance Method to Determine the Elastic Constants of Solids , 1971 .

[7]  Mineo Kumazawa,et al.  Elastic properties of garnet solid-solution series , 1978 .

[8]  O. Anderson,et al.  Pressure Derivatives of Elastic Constants of Single‐Crystal MgO at 23° and ‐195.8°C , 1966 .

[9]  Naohiro Soga,et al.  Estimation of bulk modulus and sound velocities of oxides at very high temperatures , 1966 .

[10]  G. R. Barsch,et al.  Elastic constants of single‐crystal forsterite as a function of temperature and pressure , 1969 .

[11]  Takayasu Goto,et al.  THE DETERMINATION OF THE ELASTIC CONSTANTS OF NATURAL ALMANDINE-PYROPE GARNET BY RECTANGULAR PARALLELEPIPED RESONANCE METHOD , 1976 .

[12]  A. Warner,et al.  New Piezoelectric Materials , 1965 .

[13]  Naohiro Soga,et al.  High‐Temperature Elasticity and Expansivity of Forsterite and Steatite , 1967 .