The number of carriers reaches a maximum at an energy close to the edges of the two bands (Conduction and Valence). Find the expression for the energy where the number of carriers reaches a maximum (in terms of conduction and valence band energies) keeping in consideration non-degeneracy.

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)

10th Edition

ISBN:9781337399128

Author:Russell E. Smith

Publisher:Russell E. Smith

Chapter12: Electronic Control Devices

Section: Chapter Questions

Problem 14RQ

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Concept explainers

Types of Charge Carriers

A carrier is a type of object which carries a particular thing from one point to another point. For instance, people use different vehicles from one place to another, and the vehicle carries those people and acts as a carrier.

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The number of carriers reaches a maximum at an energy close to the edges of the two bands (Conduction and Valence). Find the expression for the energy where the number of carriers reaches a maximum (in terms of conduction and valence band energies) keeping in consideration non-degeneracy.
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Step 2: Density of States (DOS) and Fermi-Dirac Distribution

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Step 3: Total Number of Electrons in the Conduction Band and Finding the Maximum

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