Physics for Scientists and Engineers, Vol. 1
Physics for Scientists and Engineers, Vol. 1
6th Edition
ISBN: 9781429201322
Author: Paul A. Tipler, Gene Mosca
Publisher: Macmillan Higher Education
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Chapter 38, Problem 70P
To determine

The rms energy of a Fermi distribution and compare it with average and reason for their difference.

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For a solid in which the occupation of the energy states is given by the Fermi- Dirac distribution, the probability that a certain state is occupied at a temperature To is 0.4. If the temperature is doubled to 2To, what is the probability that the same state is occupied? Assume that the Fermi energy does not change with temperature.
b) Find Ef in terms of N and V.e) What is the pressure at tje Fermi gas at T=0 K. ?
Silicon is doped with phosphorus atoms (column V of Mendeleev table) with a concentration of 1018 cm-3 a- What is, at 27 °C, the electron density in doped Si. Use this result to derive the hole density. Which type of semiconductor is obtained? b- Calculate, at 27 °C, the position of the Fermi level EF and plot the band diagram.
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