Abstract
The fundamental mathematical properties of the configuration of the univariant curves and their metastable extensions around an invariant point on a P-T diagram are studied by using an arrow-wheel model. On the basis of the model, the geometrical properties of the configurations and numbers of the unique configurations can be obtained. It is also shown that in constructing the configuration, the model supersedes the pencil theorem. The equation of the divariant phase assemblages induced by a univariant chemical reaction is derived. The equation contains terms similar in form to that of the univariant chemical reaction expressed as a stoichiometric equation. However, each stoichio-metric coefficient of the reaction is reduced to 1 in the equation of the divariant phase assemblages. The signs of the coefficients are preserved or consistently reversed. The divariant region theorem by Schreinemakers is, thus, presented in a concrete manner. The n + 2 equations of the divarianc phase assemblages derived from t...
Published Version
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