Corrections to Mobility Equations in the High-Field Regime

5 Corrections to Mobility Equations in the High-Field Regime 

Equation 1.10 for mobility is also modified at high E/N. In the two-T theory  

The expression derived from momentum-transfer theory  

Using K given above and A from Table 2.2, /8c by Equation 2.41 at very high E/N is —1/8 for the hard shell and -(0.066-0.085) for d with 1=8-12. The /8c value may also exceed 0.1 for real systems, especially when m M such as for Li /N2 where /8c reaches 0.3. So (l+/8c) may be a significant correction to Equation 2.38 and thus Equation 2.36. More sophisticated formulas for Tef account for ion diffusion explicitly, but Equation 2.39 comes within a couple percent of the exact values.  

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