Skip to main content
Chemistry LibreTexts

Serial reflection conditions

The serial reflection conditions are the general reflection conditions due to the presence of screw axes. The resulting conditions apply only to one-dimensional sets of reflections, i.e. reciprocal-lattice rows containing the origin (such as h00, 0k0, 00l). For instance, for a screw axis parallel to [001], the reflection conditions are:

type of reflection reflection condition screw vector screw axis
00l l = 2 n c/2 21; 42
l = 4 n c/4 41; 43
000l l = 2 n c/2 63
l = 3 n c/3 41; 31; 32; 62; 64
l = 6 n c/6 61;65

The serial reflection conditions are listed in Table of International Tables of Crystallography, Volume A.

See also

Section 2.2.13 of International Tables of Crystallography, Volume A