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Figure 3
Three different indexings of the lattice direction [230] obtained by adding the same integer number (0, 1 and [{\overline 1}]) to the first three indices of [2300]. Weber indices were introduced to provide a unique path among the infinitely many possibilities. However, the careless practice of systematically transforming them to integer values leads to inconsistencies, as demonstrated by the indexing [[14{\overline 5}0]] which, although satisfying the condition T = −U − V, corresponds to taking the coordinates of the third lattice along the direction, after the origin, as direction indices. This can be verified by converting [[14{\overline 5}0]] back to [uvw], which gives [690] instead of [230].

Journal logoJOURNAL OF
APPLIED
CRYSTALLOGRAPHY
ISSN: 1600-5767
Volume 51| Part 4| August 2018| Pages 1221-1225
https://doi.org/10.1107/S1600576718007033
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