A direct calculation is presented for the production of projections of phase relations. The projections obey the phase rule and take into account all phases not explicitly shown provided their chemical potentials are constant. The approach is a generalization of the method used by Thompson (1957) in deriving the immensely useful AFM projection.

The calculation is a simple matrix multiplication followed by normalization and permits construction of projections suitable for specific problems, avoiding the need to rely upon projections devised by others for different problems with different constraints.

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First page of Thermodynamically Valid Projections of Extensive Phase Relationships
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