Next: 4. Crystallographic Calculations Using the Reciprocal
Up: 3. Reciprocal Space and Dual Space
Previous: 3.2 The volumes of the unit
Relation (3.7) is the most convenient one to use to compute the reciprocal lattice parameters or any quantity related to them. Let a, b, c and be the direct lattice parameters. The doubly covariant coefficients of the metric tensor are then:
(3.15) |
Its determinant, that is the square of the volume of the direct lattice unit cell is equal to:
(3.16) |
By inversing 3.15 we obtain the doubly contravariant of the metric tensor, gij
(3.17) |
Using (3.17), we can easily obtain the following relations:
(3.18) |
Copyright © 1981, 1998 International Union of Crystallography
IUCr Webmaster