International
Tables for
Crystallography
Volume A
Space-group symmetry
Edited by Th. Hahn

International Tables for Crystallography (2006). Vol. A, ch. 1.1, p. 2

Section 1.1.2. Directions and planes

Th. Hahna*

aInstitut für Kristallographie, Rheinisch-Westfälische Technische Hochschule, Aachen, Germany
Correspondence e-mail: hahn@xtal.rwth-aachen.de

1.1.2. Directions and planes

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Printed symbolExplanation
[uvw] Indices of a lattice direction (zone axis)
[\langle uvw \rangle] Indices of a set of all symmetrically equivalent lattice directions
(hkl) Indices of a crystal face, or of a single net plane (Miller indices)
(hkil) Indices of a crystal face, or of a single net plane, for the hexagonal axes [{\bf a}_{1}], [{\bf a}_{2}], [{\bf a}_{3}], c (Bravais–Miller indices)
[\{hkl\}] Indices of a set of all symmetrically equivalent crystal faces (`crystal form'), or net planes
[\{hkil\}] Indices of a set of all symmetrically equivalent crystal faces (`crystal form'), or net planes, for the hexagonal axes [{\bf a}_{1}], [{\bf a}_{2}], [{\bf a}_{3}], c
hkl Indices of the Bragg reflection (Laue indices) from the set of parallel equidistant net planes (hkl)
[d_{hkl}] Interplanar distance, or spacing, of neighbouring net planes (hkl)








































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