Difference between revisions of "Zonal reflection conditions"
From Online Dictionary of Crystallography
AndreAuthier (talk | contribs) |
AndreAuthier (talk | contribs) |
||
| Line 3: | Line 3: | ||
== 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 twodimensional 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 2.2.13.2 of ''International Tables of Crystallography, Volume A''. | ||
==See also == | ==See also == | ||
Revision as of 07:26, 5 May 2006
Conditions de réflexion zonales (Fr).
Definition
The zonal reflection conditions are the general reflection conditions due to the presence of glide planes. The resulting conditions apply only to twodimensional 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 2.2.13.2 of International Tables of Crystallography, Volume A.
See also
reflection conditions
Section 2.2.13 of International Tables of Crystallography, Volume A