Monday, January 17, 2022

GIBBS & EULER

Gibbs phase rule, a result of classical thermodynamics, is written as (a) P - C + F = 2, where P is the number of phases, and C is the number of components, and F is the number of degrees of freedom. The Euler formula for the polyhedra is thus (b) V - E + F = 2, where V is the number of vertices, and E is the number of edges, and F is the number of faces in a given polyhedron...And if P - C + F = V - E + F = 2, how then are the innumerable polyhedra related to the Gibbsean thermodynamics of phases-components-degrees of freedom of a chemical system…there is likely some analogy or connection, somehow, based upon these simple formulas but no one knows it yet…

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