what is the value of energy of free electron
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This reflects the fact that the density of states g(E) is proportional to E1/2, so there is a relatively large number of higher energy electrons in a free electron gas.
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9.5: Free Electron Model of Metals.
Element Conduction Band Electron Density (1028m−3) Free-Electron Model Fermi Energy (eV)
Ba 3.15 3.64
Cu 8.47 7.00
Au 5.90 5.53
Fe 17.0 11.1
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