Difference between revisions of "Zonal reflection conditions"
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| − | < | + | <font color="blue">Conditions de réflexion zonales</font> (''Fr''). <font color="red">Zonale Auslöschungen</font> (''Ge''). <font color="black">Condizioni di riflessione zonali</font> (''It''). |
| + | |||
== Definition == | == Definition == | ||
| − | The zonal reflection conditions are the general [[reflection conditions]] due to the presence of glide planes. | + | The zonal reflection conditions are the general [[reflection conditions]] due to the presence of glide planes. The resulting conditions apply only to two-dimensional sets of reflections, ''i.e.'' to reciprocal-lattice nets containing the origin (such as ''hk''0, ''h''0''l'', 0''kl'', ''hhl''). For instance, for a glide plane parallel to (001): |
| + | |||
| + | <table border cellspacing=0 cellpadding=5 align=center> | ||
| + | <tr> | ||
| + | <th> Type of reflection</th><th>Reflection condition</th> <th> Glide vector</th><th> Glide plane</th> </tr> | ||
| + | <tr> <td rowspan=4>0''kl''</td> <td>''k'' = 2 ''n''</td> <td>'''b'''/2</td><td> ''b''</td></tr> | ||
| + | <tr> | ||
| + | <td>''l'' = 2 ''n''</td><td>'''c'''/2</td> <td> ''c''</td></tr> | ||
| + | <tr> | ||
| + | <td>''k'' + ''l'' = 2 ''n''</td><td>'''b'''/2 + '''c'''/2</td> <td> ''n''</td></tr> | ||
| + | <tr> | ||
| + | <td>''k'' + ''l'' = 4 ''n''<br>''k'', ''l'' = 2''n''</td><td>'''b'''/4 ± '''c'''/4</td> <td> ''d''</td></tr> | ||
| + | </table> | ||
| + | |||
| + | The zonal reflection conditions are listed in Table 2.1.3.7 of ''International Tables for Crystallography, Volume A'', 6th edition. | ||
==See also == | ==See also == | ||
| + | *[[Reflection conditions]] | ||
| + | *Chapter 2.1.3.13 of ''International Tables for Crystallography, Volume A'', 6th edition | ||
| − | + | [[Category:X-rays]] | |
| − | |||
| − | |||
| − | [[Category:X-rays]] | ||
Latest revision as of 14:55, 20 November 2017
Conditions de réflexion zonales (Fr). Zonale Auslöschungen (Ge). Condizioni di riflessione zonali (It).
Definition
The zonal reflection conditions are the general reflection conditions due to the presence of glide planes. The resulting conditions apply only to two-dimensional sets of reflections, i.e. to reciprocal-lattice nets containing the origin (such as hk0, h0l, 0kl, hhl). For instance, for a glide plane parallel to (001):
| Type of reflection | Reflection condition | Glide vector | Glide plane |
|---|---|---|---|
| 0kl | k = 2 n | b/2 | b |
| l = 2 n | c/2 | c | |
| k + l = 2 n | b/2 + c/2 | n | |
| k + l = 4 n k, l = 2n | b/4 ± c/4 | d |
The zonal reflection conditions are listed in Table 2.1.3.7 of International Tables for Crystallography, Volume A, 6th edition.
See also
- Reflection conditions
- Chapter 2.1.3.13 of International Tables for Crystallography, Volume A, 6th edition