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The empirical relation ${E}_{0}\ensuremath{\propto}(\frac{1}{{a}_{0}^{2}})$ between the energy gap ${E}_{0}$ and lattice constant ${a}_{0}$ has been found to hold for a wide range of semiconductors with the cubic NaCl crystal structure.

Empirical Relation between Energy Gap and Lattice Constant in Cubic Semiconductors