Assuming that the partial molar volume of each chemical component in a magma is constant, the magma density,
m
, is expressed as 1/
m
=
C
i
/
fi
, where
C
i
is the weight fraction, and
fi
is the fractionation density of the
i
th component. Using this linear relationship between 1/

and weight fraction, the density change due to addition or subtraction of any component can be graphically estimated on 1/

vs oxide wt% diagrams. The compositional expansion coefficient of the
i
th component,
fi
, is expressed as
i
=
m
/
fi
–1. The compositional expansion coefficient of H
2O has a much larger absolute value than those of any other oxide or mineral components, showing that addition of a small amount of H
2O can significantly decrease magma density. These simple expressions facilitate the estimation of magma densities during fractionation.