Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 41 - Conduction of Electricity in Solids - Problems - Page 1273: 27b

Answer

$E_F = 9.43 eV$

Work Step by Step

The equation to find Fermi Energy is $E_F = \frac{(0.121)(h)}{m_e} n^{2/3}$ Where $h = 6.626\times 10^{-34} J.s$ $m_e=9.109\times 10^{-31} kg$ n from previous answer $n = 1.31 \times 10^{29} m^{-3}$ So straight away divide by charge $1.602 \times 10^{-19} J/eV$ to get answer in eV $E_F = \frac{(0.121)((6.626\times 10^{-34} J.s)^2)}{(9.109\times 10^{-31} kg)(1.602 \times 10^{-19} J/eV)} (1.31 \times 10^{29} m^{-3})^{2/3}$ $E_F = 9.43 eV$
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