On the relationship between internal energy and both the polarizability volume and the diamagnetic susceptibility

Using experimental enthalpies of formation, polarizability volumes and diamagnetic susceptibilities, a relationship has been set up between these three parameters. It has been found that the internal energy is a state function dependent on both the polarizability volume and the diamagnetic susceptibility, or U(α, χ). This function has been identified by plotting the internal energy of formation difference versus the polarizability difference or the diamagnetic susceptibility difference. In addition, for the equations derived here it has been shown that the polarizability volume and the enthalpy of formation of a set of linear alkanes can be written as a function of the number of carbon atoms the molecule contains.