3.26: 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 h 00, 0 k 0, 00 l ). For instance, for a screw axis parallel to [001], the reflection conditions are:
| type of reflection | reflection condition | screw vector | screw axis |
|---|---|---|---|
| 00 l | l = 2 n | c /2 | 2 1 ; 4 2 |
| l = 4 n | c /4 | 4 1 ; 4 3 | |
| 000 l | l = 2 n | c /2 | 6 3 |
| l = 3 n | c /3 | 4 1 ; 3 1 ; 3 2 ; 6 2 ; 6 4 | |
| l = 6 n | c /6 | 6 1 ;6 5 |
The serial reflection conditions are listed in Table 2.2.13.2 of International Tables of Crystallography, Volume A .