Derive the effective mass of an electron
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Explanation:
DEFINITION, DESCRIPTION AND DERIVATION OF EFFECTIVE MASS OF ELECTRON,effective mass is that mass which an electron seems to have when it is present in the periodic potential in a lattice crystal. NATURE the graph between the energy and the propagation constant (k) is in the parabolic form.
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Effective mass for density of states calculations
where Mc is the number of equivalent band minima. For silicon one obtains: me,dos* = (ml mt mt)1/3 = (6)2/3 (0.89 x 0.19 x 0.19)1/3 m0 = 1.08 m0.8
For electrons or electron holes in a solid, the effective mass is usually stated in units of the rest mass of an electron, me (9.11×10−31 kg).
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