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Abstract

Assuming that the partial molar volume of each chemical component in a magma is constant, the magma density, rgr m , is expressed as 1/rgr m =sumC i /rgr fi , whereC i is the weight fraction, and rgr fi is the fractionation density of thei th component. Using this linear relationship between 1/rgr and weight fraction, the density change due to addition or subtraction of any component can be graphically estimated on 1/rgr vs oxide wt% diagrams. The compositional expansion coefficient of thei th component, beta fi , is expressed as beta i =rgr m /rgr fi –1. The compositional expansion coefficient of H2O has a much larger absolute value than those of any other oxide or mineral components, showing that addition of a small amount of H2O can significantly decrease magma density. These simple expressions facilitate the estimation of magma densities during fractionation.

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