Serial reflection conditions
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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 2.2.13.2 of International Tables of Crystallography, Volume A.