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Serial reflection conditions

From Online Dictionary of Crystallography

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Conditions de réflexion sériales (Fr). Condizioni di riflessione seriali </Font>(It)

Definition

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 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