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The rise and fall of Weber indices

Abstract : Weber indices were introduced to provide a unique expression of a lattice direction with respect to the four-axis setting used for hexagonal and rhombohedral crystals. They are in general fractional indices, even in the case of a primitive hexagonal unit cell, but they are often carelessly reduced to integer values. This corresponds, on the one hand, to taking as direction indices the nodes of a lattice further from the origin and, on the other hand, to adopting a hybrid indexing between direct and reciprocal space. A critical analysis of the drawbacks of Weber indices is presented, which justifies the reluctance of crystallographers to adopt them, despite a more widespread use in fields like electron microscopy and metal science.
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Submitted on : Wednesday, August 22, 2018 - 3:26:41 PM
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Massimo Nespolo. The rise and fall of Weber indices. Journal of Applied Crystallography, International Union of Crystallography, 2018, 51 (4), pp.1221-1225. ⟨10.1107/S1600576718007033⟩. ⟨hal-01859761⟩



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