Maxwell Relations are commonly known as a set of four partial differential equations between four thermodynamic quantities or potentials: pressure (P), volume (V), temperature (T), and entropy (S). So for example the expression (∂T/∂V) |S means the partial derivative of T with respect to V while keeping S constant.
- (∂T/∂V) |S = -(∂P/∂S) |V
- (∂P/∂T) |V = (∂S/∂V) |T
- -(∂S/∂P) |T = (∂V/∂T) |P
- (∂V/∂S) |P = (∂T/∂P) |S
In my diagram above, the expressions that are equal are on either side of the common leg of adjacent isosceles right triangles.