Abstract
The effect of changing the lattice parameter in Kronig and Penney's linear lattice model is investigated theoretically. Möglich and Rompe have predicted a decrease in the width of the forbidden energy zone as the lattice parameter is increased. It is shown that this is true only if the width of the potential throughs is increased whilst the thickness of the barriers is maintained constant. However, the opposite effect, i.e. an increase in the width of the forbidden zone, is expected when the potential troughs are kept constant and the width of the barriers is increased instead. In the intermediate case of a uniform expansion of potential hills and troughs, a small net decrease in the width of the forbidden zone is expected.
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