View source for Serial reflection conditions

<Font color="red"> Conditions de réflexion sériales </Font> (''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 ''h''00, 0''k''0, 00''l''). For instance, for a screw axis parallel to [001], the reflection conditions are:

<table border cellspacing=0 cellpadding=5 align=center>
<tr> 
<th> type of reflection</th><th>reflection condition</th> <th> screw vector</th><th> screw axis</th> </tr>
<tr> <td rowspan=2>00''l''</td> <td>''l'' = 2 ''n''</td> <td>'''c'''/2</td><td> 2<sub>1</sub>; 4<sub>2</sub></td></tr>
<tr> 
<td>''l'' = 4 ''n''</td><td>'''c'''/4</td> <td> 4<sub>1</sub>; 4<sub>3</sub></td></tr>
<tr> <td rowspan=3>000''l''</td> <td>''l'' = 2 ''n''</td> <td>'''c'''/2</td><td> 6<sub>3</sub> </td></tr>
<tr> 
<td>''l'' = 3 ''n''</td> <td>'''c'''/3</td><td> 4<sub>1</sub>; 3<sub>1</sub>; 3<sub>2</sub>; 6<sub>2</sub>; 6<sub>4</sub></td></tr>
<tr> 
<td>''l'' = 6 ''n''</td><td>'''c'''/6</td><td>6<sub>1</sub>;6<sub>5</sub></td/tr>
</table>

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

==See also ==

[[reflection conditions]]<br>
Section 2.2.13 of ''International Tables of Crystallography, Volume A''

[[Category:X-rays]]<br>