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 $p_{i}=\left({\frac {\partial E}{\partial V}}\right)_{T}\,$ , which defines the internal pressure of a liquid, it can be found that:

p_{i}=n\cdot I\cdot b(T){\frac {N^{2}\alpha ^{2}}{V^{n+1}}}

where

$N$ is equal to the number of molecules
$I$ is the ionization potential of the liquid
$b(T)$ is a temperature dependent relation based on numerical constants of the pair summation from inter-particle geometry
$\alpha$ is the polarizability
$V$ is the volume of the liquid

where for most non-polar liquids $n=1$

References

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

v
t
e

frontpage hit counter