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Electron mobility
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===Derivation=== Starting with [[Newton's second law]]: <math display="block">a = F/m_e^* </math> where: *''a'' is the acceleration between collisions. *''F'' is the electric force exerted by the electric field, and *<math>m_e^* </math> is the [[Effective mass (solid-state physics)|effective mass]] of an electron. Since the force on the electron is β''eE'': <math display="block">a = -\frac{eE}{m_e^*} </math> This is the acceleration on the electron between collisions. The drift velocity is therefore: <math display="block">v_d = a \tau_c = -\frac{e\tau_c}{m_e^*}E,</math> where <math>\tau_c</math> is the [[mean free time]] Since we only care about how the drift velocity changes with the electric field, we lump the loose terms together to get <math display="block">v_d = -\mu_e E,</math> where <math>\mu_e = \frac{e\tau_c}{m_e^*}</math> Similarly, for holes we have <math display="block">v_d = \mu_h E,</math> where <math>\mu_h = \frac{e\tau_c}{m_h^*}</math> Note that both electron mobility and hole mobility are positive. A minus sign is added for electron drift velocity to account for the minus charge.
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