Error analysis for bracketed phase equilibrium data

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Scientific paper

The proper treatment of experimental errors associated with experimental phase boundary determinations and derived results is necessary for a full interpretation and for critical comparison with other data. In the past, mathematical approximations used in treating phase equilibrium data have overestimated standard deviations and confidence limits by as much as a factor of two, thus hindering the proper interpretation of results. We have derived the correct expressions for calculating uncertainties in the location of a phase boundary and in quantities derived from a boundary such as the free energy of formation of a phase. For the special case of a pair of experimental; points with equal errors bracketing the phase boundary, we have prepared equations and graphs which are particularly easy to use. Our approach can be extended to more problems involving the analysis of phase equilibrium experiments.

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