Abstract
Kerner showed that for a lattice of A-atoms with B-atoms, periodically interspread, the Saxon-Hutner theorem does not hold. Here the equations for determining one- electron energy levels in a generalized diatomic lattice of rectangular potential barriers is given, which has been obtained by the method of the transfer matrix. Numerical work makes clear that though the polarity criterion restores the Saxon-Hutner theorem for Kerner's model, it would not do so for more general lattices. Explicit examples are given.
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