The nitride spinels are of considerable interest. The structural parameters of the nitride spinels have been calculated by first-principles. A semiempirical model for the hardness is employed to predict the hardness of nitride spinels and related compounds. The studies show that the influence of the electronic density, the bond strength, and the ionicity on the hardness of γ-A₃N₄ (A=C, Si, Ge) all decrease monotonously in the order of γ-C₃N₄, γ-Si₃N₄, and γ-Ge₃N₄. The origin of superhardness in the group-IV nitride spinels results mainly from AᵗN₄ tetrahedral units rather than on AᵒN₆ octahedral units. The detailed studies of the nitride poly-morphs experimentally detected and theoretically proposed indicate that the increasing of coordination cannot always result in the increasing of hardness. It has to be emphasized that the relation between the coordination numbers and hardness has to be applied with care.
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Gao et al. (2005) studied this question.
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