Calculation of the angular dependence of the multi-center auger matrix element

The multi-center Auger matrix element as it may occur in the theory of Auger transitions in solids is calculated. Bound state wave functions are described by a linear combination of Gaussian-type orbitals while the continuum wave function is expressed in a series of plane waves. No approximations are necessary throughout the calculation. As an application of the theory the system Ni(100)?c(2 × 2)S is treated in a similar way as done by Gadzuk.