Coomber's relationship
Coomber's relationship can be used to describe how the internal pressure and dielectric constant of a non-polar liquid are related. As p i = ( ∂ E ∂ V ) T {\displaystyle p_{i}=\left({\frac {\partial E}{\partial V}}\right)_{T}\,} , which defines the internal pressure of a liquid, it can be found that: p i = n ⋅ I ⋅ b ( T ) N 2 α 2 V n + 1 {\displaystyle p_{i}=n\cdot I\cdot b(T){\frac {N^{2}\alpha ^{2}}{V^{n+1}}}} where N {\displaystyle N} is equal to the number of molecules I {\displaystyle I} is the ionization potential of the liquid b ( T ) {\displaystyle b(T)} is a temperature dependent relation based on numerical constants of the pair summation from inter-particle geometry α {\displaystyle \alpha } is the polarizability V {\displaystyle V} is the volume of the liquid where for most non-polar liquids n = 1 {\displaystyle n=1} == References == Meeten, G.H., "Theoretical Basis for Coomber's Relationship", Nature Vol.