Legendre Transformation and Thermodynamic Potentials

Legendre transformation is a highly important topic in the study of thermodynamics. In this paper, the idea of Legendre transformation is discussed in a simple manner, and the interconnections between thermodynamic potentials are shown using Legendre transformation. Not only common potentials—internal energy, Helmholtz free energy, Gibbs potential, and enthalpy—a few uncommon potentials of various thermodynamic systems are also discussed.