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Non-muffin-tin band theories of the multiple-scattering type.

Numerical calculations on an empty-lattice model are used to illustrate the fact that the greatest improvement in the accuracy of the eigenvalues for a non-muffin-tin potential comes from the inclusion of the off-diagonal elements of the scattering matrices. The eigenvalues calculated with a recently proposed formulation are seen to be no better than those obtained with other schemes that ignore near-field corrections.