Solutes and high field mobility

We further make the assumption that the electron mean energy is the same in the solution and in the pure liquid if the mobilities are the same. The rate of energy loss, A, suffered by an electron in solution when the field strength is increased from a value Eel, where elastic losses prevail, to a value where inelastic losses are operative, is given as 

On the average, the electron will transfer an energy AW in a collision, and Equation 7 becomes 

Here denotes the mean free path for inelastic scattering given as 

At high fields, iiEgi is constant and the drift velocity reaches a maximum where shows a maximum. 

In the pure rare gas liquid, energy losses are due to elastic collisions, and in the steady state, the energy gain from the field is balanced by these losses  

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