Modeling physical and thermodynamic properties via inverse normalizing transformations

The inverse normalizing transformation (INT) represents a generalization of the inverse of the Box-Cox transformation. It is shown that several well-known and widely used property correlation equations, such as the Antoine, the truncated Riedel, the Rackett, and the Guggenheim equations can be derived from the INT. Its use is demonstrated for modeling the temperature dependence of vapor pressure, solid and liquid heat capacity, vapor and liquid viscosity, and surface tension data. It is shown that the INT can represent satisfactorily curves of different shapes and, as such, its use can be beneficial in modeling the temperature dependence of various physical and thermodynamic properties.