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

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

Section 1.1.3. Reciprocal space

Th. Hahna*

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

1.1.3. Reciprocal space

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Printed symbol Explanation
a ∗ , b∗, c∗; or a∗i Basis vectors of the reciprocal lattice
a ∗ , b∗, c∗ Lengths of basis vectors of the reciprocal lattice
α ∗ , β∗, γ∗ Interaxial (lattice) angles of the reciprocal lattice b∗∧c∗, c∗∧a∗, a∗∧b∗
r ∗ ; or h Reciprocal-lattice vector
h , k, l; or hi Coordinates of a reciprocal-lattice point, expressed in units of a∗, b∗, c∗, coefficients of the reciprocal-lattice vector r∗
V ∗ Cell volume of the reciprocal lattice
G ∗ Matrix of the geometrical coefficients (metric tensor) of the reciprocal lattice








































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