The net electron mobility ?n of a semiconductor is a combination of the mobility due to the ionized impurity scattering, which is proportional to T^3/2 , and the mobility due to the lattice scattering, which is proportional to T^-3/2 . For a given semiconductor, the mobility as a function of T is found to be maximal at room temperature T = 300 K. At what temperature the diffusion coefficient Dn is maximal?
Mathematical Explanation-
Diffusion coefficient is directly proportional to mobility.lf mobility of a semiconductor is maximum at 300k means diffusion will also be maximum at the same temperature.
Conceptual Explanation-
Mobility is defined as drift velocity per unit applied electric field.More is the mobility means its velocity under applied electric field is more.Means more and more particles can diffuse inside at that temperature hence more will be the diffusion coefficient.
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