Tables for
Volume B
Reciprocal space
Edited by U. Shmueli

International Tables for Crystallography (2010). Vol. B, ch. 2.2, p. 215   | 1 | 2 |

Section 2.2.1. List of symbols and abbreviations

C. Giacovazzoa*

aDipartimento Geomineralogico, Campus Universitario, 70125 Bari, Italy, and Institute of Crystallography, Via G. Amendola, 122/O, 70125 Bari, Italy
Correspondence e-mail:

2.2.1. List of symbols and abbreviations

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[f_{j}] atomic scattering factor of jth atom
[Z_{j}] atomic number of jth atom
N number of atoms in the unit cell
m order of the point group
[[\sigma_{r}]_{p}, [\sigma_{r}]_{q}, [\sigma_{r}]_{N}, \ldots = \textstyle\sum\limits_{j = 1}^{p} Z_{j}^{r}, \textstyle\sum\limits_{j = 1}^{q} Z_{j}^{r}, \textstyle\sum\limits_{j = 1}^{N} Z_{j}^{r}, \ldots][[\sigma_{r}]_{N}] is always abbreviated to [\sigma_{r}] when N is the number of atoms in the cell[\textstyle\sum\nolimits_{p}, \textstyle\sum\nolimits_{q}, \textstyle\sum\nolimits_{N},\ldots = \textstyle\sum\limits_{j = 1}^{p} f_{j}^{2}, \textstyle\sum\limits_{j = 1}^{q} f_{j}^{2}, \textstyle\sum\limits_{j = 1}^{N} f_{j}^{2}, \ldots]
s.f. structure factor
n.s.f. normalized structure factor
cs. centrosymmetric
ncs. noncentrosymmetric
s.i. structure invariant
s.s. structure seminvariant
[{\bf C} = ({\bf R}, {\bf T})] symmetry operator; R is the rotational part, T the translational part
[\varphi_{\bf h}] phase of the structure factor [F_{\bf h} = |F_{\bf h}| \exp (i\varphi_{\bf h})]

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