Coomber's relationship explained

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 = \left( (\partial E)/(\partial V)} \right) _{T} , which defines the internal pressure of a liquid, it can be found that:$$p\_i\; =\; n\; \backslash cdot\; I\; \backslash cdot\; b(T)\; \backslash frac$$whereN is equal to the number of moleculesI is the ionization potential of the liquidb(T) is a temperature dependent relation based on numerical constants of the pair summation from inter-particle geometry\alpha is the polarizabilityV is the volume of the liquidwhere for most non-polar liquids n =1

References

• Meeten, G.H., "Theoretical Basis for Coomber's Relationship", Nature Vol. 223, August 23, 1969