Electron energy in metal and Fermi energy:



If we consider the three dimensional metal, electrons will move in all directions so that three quantum numbers n x, n y, n z are needed. Let us assume the potential energy inside the cubic crystal with side 'a' is zero and infinity at outside.


Therefore the permitted energy levels can be written as from equation (42).

 

                 

Fig. 6 The Fermi distribution curve
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