Thermodynamics, Statistical Physics, and Quantum Mechanics

(Axel Boer) #1
236 SOLUTIONS

4.104 Electrons and Holes (Boston, Moscow
Phys-Tech)

a) Let the zero of energybe the bottom of the conduction band, so
(seeFigureS.4.104). Thenumber ofelectrons may befound from

where for electrons, and the Fermi distribution formula has been
approximated by

The concentration of electrons isthen


where


b) Inan intrinsicsemiconductor

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