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Serial reflection conditions

From Online Dictionary of Crystallography

Conditions de réflexion sériales (Fr).

Definition

The serial reflection conditions are the general reflection conditions due to the presence of screw axes. The resulting conditions apply only to onedimensional 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 reflectionreflection condition screw vector screw axis
00l l = 2 n c/2 21; 42
l = 4 nc/4 41; 43
000l l = 2 n c/2 63
l = 3 n c/3 41; 31; 32; 62; 64
l = 6 nc/661;65

The serial reflection conditions are listed in Table 2.2.13.2 of International Tables of Crystallography, Volume A.

See also

reflection conditions
Section 2.2.13 of International Tables of Crystallography, Volume A