Abstract
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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