https://dictionary.iucr.org/index.php?title=Bravais_flock&feed=atom&action=history
Bravais flock - Revision history
2024-03-28T15:28:23Z
Revision history for this page on the wiki
MediaWiki 1.30.0
https://dictionary.iucr.org/index.php?title=Bravais_flock&diff=4812&oldid=prev
MassimoNespolo: Redirected page to Bravais class
2019-05-30T15:48:08Z
<p>Redirected page to <a href="/Bravais_class" title="Bravais class">Bravais class</a></p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 15:48, 30 May 2019</td>
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<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline"><font color="blue">Troupeau de Bravais</font> (''Fr''). <font color="red">Bravais Herde</font> (''Ge''). <font color="black">Gregge di Bravais</font> (''It''). <font color="purple">ブラベー群れ</font> (''Ja''). <font color="green">Rebaño de Bravais</font> (''Sp'').</del></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">#REDIRECT </ins>[[Bravais class]]</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">== Definition ==</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">Space groups that are assigned to the same [[Bravais class]] belong to the same '''Bravais flock of space groups'''.</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">The introduction of the concept of Bravais flock is necessary in order to classify space groups on the basis of their Bravais type of lattice, independently from any accidental metric of the lattice.</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">An orthorhombic crystal may have accidentally ''a'' = ''b'' and have a tetragonal lattice not because of symmetry restrictions but just by accident. If the Bravais types of lattices were used directly to classify space groups, such a crystal would belong to another category with respect to an orthorhombic crystal without specialized metric. The concept of Bravais flock solves this ambiguity.</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">A space group ''G'' is ''assigned'' to a </del>[[Bravais class<del class="diffchange diffchange-inline">]] on the basis of the corresponding point group ''P'' and the [[arithmetic crystal class]] associated with it:</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">* If the arithmetic crystal class of ''G'' is a Bravais class, then ''G'' is assigned to that Bravais class;</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">* if the arithmetic crystal class of ''G'' is not a Bravais class, then the Bravais class to which ''G'' is assigned is obtained as follows:</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">** those Bravais classes are retained whose point group ''B'' is such that ''P'' is a subgroup of ''B'';</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">** ''G'' is assigned to that Bravais class, among those selected above, for which the ratio of the order of the point groups of ''B'' and of ''P'' is minimal.</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">For example, a space group of type ''I''4<sub>1</sub> belongs to the arithmetic crystal class 4''I'', to which two Bravais classes can be associated, 4/''mmmI'' and <math>m{\bar 3}mI</math>. The second condition uniquely assigns G to the Bravais flock of 4/''mmmI'', despite the fact that the Bravais class of the lattice may be <math>m{\bar 3}mI</math> as a result of accidental symmetry.</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">== See also ==</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">*Chapter 1.3.4.4.1 in of ''International Tables for Crystallography, Volume A'', 6th edition</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">[[category: Fundamental crystallography</del>]]</div></td><td colspan="2"> </td></tr>
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MassimoNespolo
https://dictionary.iucr.org/index.php?title=Bravais_flock&diff=4665&oldid=prev
BrianMcMahon: Tidied translations.
2017-11-28T17:15:39Z
<p>Tidied translations.</p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 17:15, 28 November 2017</td>
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<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><font color="blue">Troupeau de Bravais </font> (''Fr''). <<del class="diffchange diffchange-inline">Font </del>color="red">Bravais Herde</<del class="diffchange diffchange-inline">Font</del>> (''Ge''). <<del class="diffchange diffchange-inline">Font </del>color="<del class="diffchange diffchange-inline">green</del>"><del class="diffchange diffchange-inline">Rebaño de </del>Bravais</<del class="diffchange diffchange-inline">Font</del>> (''<del class="diffchange diffchange-inline">Sp</del>''). <<del class="diffchange diffchange-inline">Font </del>color="<del class="diffchange diffchange-inline">black</del>"><del class="diffchange diffchange-inline">Gregge di Bravais</del></<del class="diffchange diffchange-inline">Font</del>> (''<del class="diffchange diffchange-inline">It</del>''). <<del class="diffchange diffchange-inline">Font </del>color="<del class="diffchange diffchange-inline">purple</del>"><del class="diffchange diffchange-inline">ブラベー群れ</del></font> (''<del class="diffchange diffchange-inline">Ja</del>'').</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><font color="blue">Troupeau de Bravais</font> (''Fr''). <<ins class="diffchange diffchange-inline">font </ins>color="red">Bravais Herde</<ins class="diffchange diffchange-inline">font</ins>> (''Ge''). <<ins class="diffchange diffchange-inline">font </ins>color="<ins class="diffchange diffchange-inline">black</ins>"><ins class="diffchange diffchange-inline">Gregge di </ins>Bravais</<ins class="diffchange diffchange-inline">font</ins>> (''<ins class="diffchange diffchange-inline">It</ins>''). <<ins class="diffchange diffchange-inline">font </ins>color="<ins class="diffchange diffchange-inline">purple</ins>"><ins class="diffchange diffchange-inline">ブラベー群れ</ins></<ins class="diffchange diffchange-inline">font</ins>> (''<ins class="diffchange diffchange-inline">Ja</ins>''). <<ins class="diffchange diffchange-inline">font </ins>color="<ins class="diffchange diffchange-inline">green</ins>"><ins class="diffchange diffchange-inline">Rebaño de Bravais</ins></font> (''<ins class="diffchange diffchange-inline">Sp</ins>'').</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>== Definition ==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>== Definition ==</div></td></tr>
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BrianMcMahon
https://dictionary.iucr.org/index.php?title=Bravais_flock&diff=3938&oldid=prev
BrianMcMahon: Edits to align with printed edition
2017-05-13T09:39:30Z
<p>Edits to align with printed edition</p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 09:39, 13 May 2017</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td>
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<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><font color="blue">Troupeau de Bravais </font> (''Fr'')<del class="diffchange diffchange-inline">; </del><Font color="red">Bravais <del class="diffchange diffchange-inline">herde</del></Font> (''Ge'')<del class="diffchange diffchange-inline">; </del><Font color="green">Rebaño de Bravais</Font> (''Sp'')<del class="diffchange diffchange-inline">; </del><Font color="black">Gregge di Bravais</Font> (''It'')<del class="diffchange diffchange-inline">; </del><Font color="purple">ブラベー群れ</font> (''Ja'').</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><font color="blue">Troupeau de Bravais </font> (''Fr'')<ins class="diffchange diffchange-inline">. </ins><Font color="red">Bravais <ins class="diffchange diffchange-inline">Herde</ins></Font> (''Ge'')<ins class="diffchange diffchange-inline">. </ins><Font color="green">Rebaño de Bravais</Font> (''Sp'')<ins class="diffchange diffchange-inline">. </ins><Font color="black">Gregge di Bravais</Font> (''It'')<ins class="diffchange diffchange-inline">. </ins><Font color="purple">ブラベー群れ</font> (''Ja'').</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>== Definition ==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>== Definition ==</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Space groups that are assigned to the same [[Bravais class]] belong to the same '''Bravais flock of space groups'''.</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Space groups that are assigned to the same [[Bravais class]] belong to the same '''Bravais flock of space groups'''.</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>The introduction of the concept of Bravais flock is necessary in order to classify space groups on the basis of their Bravais type of lattice, independently from any accidental metric of the lattice.</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>The introduction of the concept of Bravais flock is necessary in order to classify space groups on the basis of their Bravais type of lattice, independently from any accidental metric of the lattice.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>An orthorhombic crystal may have accidentally ''a'' = ''b'' have a tetragonal lattice not because of symmetry restrictions but just by accident. If the Bravais types of lattices were used directly to classify space <del class="diffchange diffchange-inline">group</del>, such a crystal would <del class="diffchange diffchange-inline">be go in </del>another category with respect to an orthorhombic crystal without specialized metric. The concept of Bravais flock solves this ambiguity.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>An orthorhombic crystal may have accidentally ''a'' = ''b'' <ins class="diffchange diffchange-inline">and </ins>have a tetragonal lattice not because of symmetry restrictions but just by accident. If the Bravais types of lattices were used directly to classify space <ins class="diffchange diffchange-inline">groups</ins>, such a crystal would <ins class="diffchange diffchange-inline">belong to </ins>another category with respect to an orthorhombic crystal without specialized metric. The concept of Bravais flock solves this ambiguity.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>A space group G is ''assigned'' to a [[Bravais class]] on the basis of the corresponding point group P and the [[arithmetic crystal class]] associated with it:</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>A space group <ins class="diffchange diffchange-inline">''</ins>G<ins class="diffchange diffchange-inline">'' </ins>is ''assigned'' to a [[Bravais class]] on the basis of the corresponding point group <ins class="diffchange diffchange-inline">''</ins>P<ins class="diffchange diffchange-inline">'' </ins>and the [[arithmetic crystal class]] associated with it:</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* If the arithmetic crystal class of G is a Bravais class, then G is assigned to that Bravais class;</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* If the arithmetic crystal class of <ins class="diffchange diffchange-inline">''</ins>G<ins class="diffchange diffchange-inline">'' </ins>is a Bravais class, then <ins class="diffchange diffchange-inline">''</ins>G<ins class="diffchange diffchange-inline">'' </ins>is assigned to that Bravais class;</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* if the arithmetic crystal class of G is not a Bravais class, then the Bravais class to which G is assigned is obtained as follows:</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* if the arithmetic crystal class of <ins class="diffchange diffchange-inline">''</ins>G<ins class="diffchange diffchange-inline">'' </ins>is not a Bravais class, then the Bravais class to which <ins class="diffchange diffchange-inline">''</ins>G<ins class="diffchange diffchange-inline">'' </ins>is assigned is obtained as follows:</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>** those Bravais classes are retained whose point group <del class="diffchange diffchange-inline"> </del>B is such that P is a subgroup of B;</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>** those Bravais classes are retained whose point group <ins class="diffchange diffchange-inline">''</ins>B<ins class="diffchange diffchange-inline">'' </ins>is such that <ins class="diffchange diffchange-inline">''</ins>P<ins class="diffchange diffchange-inline">'' </ins>is a subgroup of <ins class="diffchange diffchange-inline">''</ins>B<ins class="diffchange diffchange-inline">''</ins>;</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>** G is assigned to that Bravais class, among those selected above, for which the ratio of the order of the point groups of B and of P is minimal.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>** <ins class="diffchange diffchange-inline">''</ins>G<ins class="diffchange diffchange-inline">'' </ins>is assigned to that Bravais class, among those selected above, for which the ratio of the order of the point groups of <ins class="diffchange diffchange-inline">''</ins>B<ins class="diffchange diffchange-inline">'' </ins>and of <ins class="diffchange diffchange-inline">''</ins>P<ins class="diffchange diffchange-inline">'' </ins>is minimal.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>For example, a space group of type ''I''4<sub>1</sub> belongs to the arithmetic crystal class 4''I'', to which two Bravais <del class="diffchange diffchange-inline">class </del>can be associated, 4/''mmmI'' and <math>m{\bar 3}mI</math>. The second condition uniquely assigns G to the Bravais flock of 4/''mmmI'', despite the fact that the Bravais class of the lattice may be <math>m{\bar 3}mI</math> as a result of accidental symmetry.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>For example, a space group of type ''I''4<sub>1</sub> belongs to the arithmetic crystal class 4''I'', to which two Bravais <ins class="diffchange diffchange-inline">classes </ins>can be associated, 4/''mmmI'' and <math>m{\bar 3}mI</math>. The second condition uniquely assigns G to the Bravais flock of 4/''mmmI'', despite the fact that the Bravais class of the lattice may be <math>m{\bar 3}mI</math> as a result of accidental symmetry.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>== See also ==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>== See also ==</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">Section </del>1.3.4.4.1 in of ''International Tables <del class="diffchange diffchange-inline">of </del>Crystallography, Volume A'', <del class="diffchange diffchange-inline">6<sup>th</sup> </del>edition</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">*Chapter </ins>1.3.4.4.1 in of ''International Tables <ins class="diffchange diffchange-inline">for </ins>Crystallography, Volume A'', <ins class="diffchange diffchange-inline">6th </ins>edition</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[category: Fundamental crystallography]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[category: Fundamental crystallography]]</div></td></tr>
</table>
BrianMcMahon
https://dictionary.iucr.org/index.php?title=Bravais_flock&diff=3821&oldid=prev
MassimoNespolo: /* See also */ 6th edition of ITA
2017-04-10T15:05:53Z
<p><span dir="auto"><span class="autocomment">See also: </span> 6th edition of ITA</span></p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 15:05, 10 April 2017</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>== See also ==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>== See also ==</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Section <del class="diffchange diffchange-inline">8</del>.<del class="diffchange diffchange-inline">2</del>.<del class="diffchange diffchange-inline">6 </del>in of ''International Tables of Crystallography, Volume A''</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Section <ins class="diffchange diffchange-inline">1</ins>.<ins class="diffchange diffchange-inline">3</ins>.<ins class="diffchange diffchange-inline">4.4.1 </ins>in of ''International Tables of Crystallography, Volume A''<ins class="diffchange diffchange-inline">, 6<sup>th</sup> edition</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[category: Fundamental crystallography]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[category: Fundamental crystallography]]</div></td></tr>
</table>
MassimoNespolo
https://dictionary.iucr.org/index.php?title=Bravais_flock&diff=3652&oldid=prev
MassimoNespolo: languages
2016-04-07T16:19:11Z
<p>languages</p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 16:19, 7 April 2016</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td>
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<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"><font color="blue">Troupeau de Bravais </font> (''Fr''); <Font color="red">Bravais herde</Font> (''Ge''); <Font color="green">Rebaño de Bravais</Font> (''Sp''); <Font color="black">Gregge di Bravais</Font> (''It''); <Font color="purple">ブラベー群れ</font> (''Ja'').</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>== Definition ==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>== Definition ==</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Space groups that are assigned to the same [[Bravais class]] belong to the same '''Bravais flock of space groups'''.</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Space groups that are assigned to the same [[Bravais class]] belong to the same '''Bravais flock of space groups'''.</div></td></tr>
</table>
MassimoNespolo
https://dictionary.iucr.org/index.php?title=Bravais_flock&diff=2322&oldid=prev
MassimoNespolo at 16:11, 23 February 2007
2007-02-23T16:11:56Z
<p></p>
<p><b>New page</b></p><div>== Definition ==<br />
Space groups that are assigned to the same [[Bravais class]] belong to the same '''Bravais flock of space groups'''.<br />
<br />
<br />
The introduction of the concept of Bravais flock is necessary in order to classify space groups on the basis of their Bravais type of lattice, independently from any accidental metric of the lattice.<br />
<br />
An orthorhombic crystal may have accidentally ''a'' = ''b'' have a tetragonal lattice not because of symmetry restrictions but just by accident. If the Bravais types of lattices were used directly to classify space group, such a crystal would be go in another category with respect to an orthorhombic crystal without specialized metric. The concept of Bravais flock solves this ambiguity.<br />
<br />
A space group G is ''assigned'' to a [[Bravais class]] on the basis of the corresponding point group P and the [[arithmetic crystal class]] associated with it:<br />
* If the arithmetic crystal class of G is a Bravais class, then G is assigned to that Bravais class;<br />
* if the arithmetic crystal class of G is not a Bravais class, then the Bravais class to which G is assigned is obtained as follows:<br />
** those Bravais classes are retained whose point group B is such that P is a subgroup of B;<br />
** G is assigned to that Bravais class, among those selected above, for which the ratio of the order of the point groups of B and of P is minimal.<br />
<br />
For example, a space group of type ''I''4<sub>1</sub> belongs to the arithmetic crystal class 4''I'', to which two Bravais class can be associated, 4/''mmmI'' and <math>m{\bar 3}mI</math>. The second condition uniquely assigns G to the Bravais flock of 4/''mmmI'', despite the fact that the Bravais class of the lattice may be <math>m{\bar 3}mI</math> as a result of accidental symmetry.<br />
<br />
== See also ==<br />
Section 8.2.6 in of ''International Tables of Crystallography, Volume A''<br />
<br />
[[category: Fundamental crystallography]]</div>
MassimoNespolo