# Serial reflection conditions

(Difference between revisions)
 Revision as of 07:20, 5 May 2006 (view source)← Older edit Revision as of 07:27, 5 May 2006 (view source)Newer edit → Line 3: Line 3: == Definition == == Definition == - The serial reflection conditions are the general [[reflection conditions]] due to the presence of screw axes. + 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 ''h''00, 0''k''0, 00''l''). For instance, for a screw axis parallel to [001], the reflection conditions are: + + +
type of reflectionreflection condition screw vector screw axis
00''l'' ''l'' = 2 ''n'' '''c'''/2 21; 42
''l'' = 4 ''n'''''c'''/4 41; 43
000''l'' ''l'' = 2 ''n'' '''c'''/2 63
''l'' = 3 ''n'' '''c'''/3 41; 31; 32; 62; 64
''l'' = 6 ''n'''''c'''/661;65
+ + + + + + + + + + + + The serial reflection conditions are listed in Table 2.2.13.2 of ''International Tables of Crystallography, Volume A''. ==See also == ==See also ==

## Revision as of 07:27, 5 May 2006

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.