The Slater method of obtaining wave functions for metallic lattices is applied to the face-centered lattice. The solutions previously obtained by Krutter for this lattice were mainly for certain simple lines in momentum space. Methods are developed for obtaining more general solutions from these special ones. On this basis the entire 110 plane is worked out. For certain new lines in this plane especially simple solutions are given. An approximate method suitable for calculating energy contours in momentum space for small values of momentum is developed.
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W. Shockley (1937) studied this question.
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