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A computational procedure is developed for the calculation of the composition at chemical equilibrium of systems of many constituents. The general equations are applied to homogeneous systems and to homogeneous systems which exist in the presence of a single additional pure phase. A brief discussion is given of appropriate numerical methods of computation.

An analytical criterion is given for the choice of independent components. An inclusive discussion of equilibrium in systems of many constituents is thereby achieved. By reason of symmetry, the resulting conditions are particularly suited to form the basis of a calculation of the equilibrium composition of the system.

Consistent normal coordinate treatments, involving force-constants which are related to bond structures and which may be transferred from one molecule to another, are applied to hydrogen cyanide, methyl cyanide, and the methyl halides. The connection with previous treatments of acetylene, ethane, and methyl and dimethyl acetylene is discussed. A method of setting up such a consistent treatment is described, and a table of force constants for a number of bond structures is given. The structural significance of these force constants is briefly discussed.

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