XCI. The self-energy and interaction energy of stacking faults in metals

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Abstract
A model is considered of a crystal lattice having slip of less than a lattice vector on two close packed planes. The effect of this slip on the eigenvalues of one electron wave functions extending throughout the crystal is calculated, using first order perturbation theory to give the wave functions in a perfect crystal. The self-energy of a fault in a monovalent metal is found to be about 20 ergs/cm2. The interaction energy is found to be about 0·4 ergs/cm2 when the faults are one lattice plane apart and negligible when they are further apart. An unsuccessful attempt is made to calculate the effect of electrons with wave vectors near zone faces. The theory involved a clarification of the Bloch-Floquet theory and the use of a contour integral to sum the zeros of an exponential sum.