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.
Complete list of metadatas

Cited literature [14 references]  Display  Hide  Download

https://hal.univ-lorraine.fr/hal-01859761
Contributor : Massimo Nespolo <>
Submitted on : Wednesday, August 22, 2018 - 3:26:41 PM
Last modification on : Saturday, August 25, 2018 - 1:10:28 AM
Long-term archiving on : Friday, November 23, 2018 - 6:52:36 PM

File

Weber.pdf
Publisher files allowed on an open archive

Identifiers

Collections

Citation

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⟩

Share

Metrics

Record views

60

Files downloads

141