The effect of pressure on the lattice parameter, hence the molar volume, of four ferromagnesian garnet specimens was determined up to 328 kb at room temperature by means of the X-ray diffraction technique employing a diamond-anvil high-pressure cell. Using a Birch-Murnaghan equation with a (∂KT/∂P)T value of 5.45, the isothermal bulk modulus at zero pressure Ko has been computed to be 1.90±0.06 Mb for the synthetic end member pyrope, 1.77±0.06 Mb for the natural pyrope (Pyrope60 Almanditesi31), 1.73±0.06 Mb for the natural almandite (Pyrope22 Almandite72), and 1.68±0.05 Mb for the synthetic end member almandite. An equation relating the bulk modulus to the composition of a binary solid solution was derived. It was found that the bulk modulus of the almandite-pyrope solid solutions is inversely proportional to the mole fraction and is expressed by: where Xpy is the mole fraction of pyrope. The seismic parameter for these solid solutions can be expressed as a function of the mean atomic weight by:
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Takahashi et al. (1970) studied this question.
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