Elastic properties of a single-crystal forsterite Mg2SiO4, up to 1,200 K

Elastic moduli of forsterite were measured between 300 and 1,200 K (≃ 1.6 times the Debye temperature) by the Rectangular Parallelepiped Resonance method. All the moduli decrease regularly with temperature. A summary of the results is as follows:Elastic moduli Cij in GPaT/KC11C22C33C44C55C660337.0205.6241.169.4953.5283.43300328.7199.8235.566.7880.9580.571,200292.9174.7207.155.3769.1467.22Temperature derivatives of elastic moduli, −∂Cij/∂T in MPa/K30038.426.929.412.312.514.11,20040.128.232.112.813.315.0temperature derivatives of elastic moduli, - ∂Cij/∂R in MPa/K whereCsi=(Cjj+Ckk−2·Cjk)/4; (i, j, k=1, 2, 3;i ≠j ≠k), and ρ is density in kg/m3. These data permit for the first time the calculation of elastic and thermal properties well into the classical range far above the Debye temperature. We find, for example, that the elastic constants, including the bulk moduls, closely follow standard equations throughout the measured temperature range. This information aids extrapolations up to the melting point. This data, coupled with thermal expansivity data permit the computations of thermal anharmonic parameters of minerals forT>θ.

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