https://dictionary.iucr.org/index.php?title=Partial_symmetry&feed=atom&action=historyPartial symmetry - Revision history2024-03-29T08:39:24ZRevision history for this page on the wikiMediaWiki 1.30.0https://dictionary.iucr.org/index.php?title=Partial_symmetry&diff=4557&oldid=prevBrianMcMahon: Tidied translations and corrected German (U. Mueller)2017-11-17T09:39:31Z<p>Tidied translations and corrected German (U. Mueller)</p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 09:39, 17 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">Symétrie partielle</font> (<del class="diffchange diffchange-inline"><i></del>Fr<del class="diffchange diffchange-inline"></i></del>)<del class="diffchange diffchange-inline">; </del><font color="red"><del class="diffchange diffchange-inline">Partielle symmetrie</del></font> (<del class="diffchange diffchange-inline"><i></del>Ge<del class="diffchange diffchange-inline"></i></del>)<del class="diffchange diffchange-inline">; </del><font color="black">Simmetria parziale</font> (<del class="diffchange diffchange-inline"><i></del>It<del class="diffchange diffchange-inline"></i></del>)<del class="diffchange diffchange-inline">; </del><font color="purple">部分対称</font> (<del class="diffchange diffchange-inline"><i></del>Ja<del class="diffchange diffchange-inline"></i></del>)<del class="diffchange diffchange-inline">; </del><font color="green">Simetría parcial</font> (<del class="diffchange diffchange-inline"><i></del>Sp<del class="diffchange diffchange-inline"></i></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">Symétrie partielle</font> (<ins class="diffchange diffchange-inline">''</ins>Fr<ins class="diffchange diffchange-inline">''</ins>)<ins class="diffchange diffchange-inline">. </ins><font color="red"><ins class="diffchange diffchange-inline">Teilsymmetrie</ins></font> (<ins class="diffchange diffchange-inline">''</ins>Ge<ins class="diffchange diffchange-inline">''</ins>)<ins class="diffchange diffchange-inline">. </ins><font color="black">Simmetria parziale</font> (<ins class="diffchange diffchange-inline">''</ins>It<ins class="diffchange diffchange-inline">''</ins>)<ins class="diffchange diffchange-inline">. </ins><font color="purple">部分対称</font> (<ins class="diffchange diffchange-inline">''</ins>Ja<ins class="diffchange diffchange-inline">''</ins>)<ins class="diffchange diffchange-inline">. </ins><font color="green">Simetría parcial</font> (<ins class="diffchange diffchange-inline">''</ins>Sp<ins class="diffchange diffchange-inline">''</ins>).</div></td></tr>
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</table>BrianMcMahonhttps://dictionary.iucr.org/index.php?title=Partial_symmetry&diff=4341&oldid=prevMassimoNespolo: languages2017-10-12T08:30:10Z<p>languages</p>
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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">Symétrie partielle</font> (<i>Fr</i>)<del class="diffchange diffchange-inline">. </del><font color="black">Simmetria parziale</font> (<i>It</i>).</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">Symétrie partielle</font> (<i>Fr</i>)<ins class="diffchange diffchange-inline">; <font color="red">Partielle symmetrie</font> (<i>Ge</i>); </ins><font color="black">Simmetria parziale</font> (<i>It<ins class="diffchange diffchange-inline"></i>); <font color="purple">部分対称</font> (<i>Ja</i>); <font color="green">Simetría parcial</font> (<i>Sp</ins></i>).</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;"></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>
</table>MassimoNespolohttps://dictionary.iucr.org/index.php?title=Partial_symmetry&diff=4057&oldid=prevBrianMcMahon: Style edits to align with printed edition2017-05-16T12:18:34Z<p>Style edits to align with printed edition</p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 12:18, 16 May 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">Symétrie partielle</font> (<i>Fr</i>)<del class="diffchange diffchange-inline">; </del><font color="black">Simmetria parziale</font> (<i>It</i>)</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">Symétrie partielle</font> (<i>Fr</i>)<ins class="diffchange diffchange-inline">. </ins><font color="black">Simmetria parziale</font> (<i>It</i>)<ins class="diffchange diffchange-inline">.</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;"></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>The symmetry operations of a [[space group]] are [[Euclidean mapping|isometries]] operating on the whole [[crystal pattern]] and are also called '''total operations''' or '''global operations'''. More generally, the crystal space can be divided in ''N'' components S<sub>1</sub> to S<sub>''N''</sub>, and a coincidence operation &phi;(S<sub>''i''</sub>)&rarr;S<sub>''j''</sub> can act on just the ''i''<del class="diffchange diffchange-inline">-</del>th component S<sub>''i''</sub> to bring it to coincide with the ''j''<del class="diffchange diffchange-inline">-</del>th component S<sub>''j''</sub>. Such an operation is not one of the operations of the space group of the crystal because it is not a coincidence operation of the whole crystal space; it is not even defined, in general, for any component ''k'' different from ''i''. It is called a '''partial operation''': from the mathematical viewpoint, partial operations are [[Groupoid|space-groupoid operations]].  </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>The symmetry operations of a [[space group]] are [[Euclidean mapping|isometries]] operating on the whole [[crystal pattern]] and are also called '''total operations''' or '''global operations'''. More generally, the crystal space can be divided in ''N'' components S<sub>1</sub> to S<sub>''N''</sub>, and a coincidence operation &phi;(S<sub>''i''</sub>)&rarr;S<sub>''j''</sub> can act on just the ''i''th component S<sub>''i''</sub> to bring it to coincide with the ''j''th component S<sub>''j''</sub>. Such an operation is not one of the operations of the space group of the crystal because it is not a coincidence operation of the whole crystal space; it is not even defined, in general, for any component ''k'' different from ''i''. It is called a '''partial operation''': from the mathematical viewpoint, partial operations are [[Groupoid|space-groupoid operations]].  </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>When ''i'' = ''j'', ''i<del class="diffchange diffchange-inline">''</del>.<del class="diffchange diffchange-inline">''</del>e''<del class="diffchange diffchange-inline">. </del>when the operation is &phi;(S<sub>''i''</sub>)&rarr;S<sub>''i''</sub> and brings a component to coincide with itself, the partial operation is of special type and is called '''[[local symmetry|local]]'''. A local operation is in fact a symmetry operation, which is defined only on a part of the crystal space: local operations may constitute a [[subperiodic group]].</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>When ''i'' = ''j'', ''i.e<ins class="diffchange diffchange-inline">.</ins>'' when the operation is &phi;(S<sub>''i''</sub>)&rarr;S<sub>''i''</sub> and brings a component to coincide with itself, the partial operation is of special type and is called '''[[local symmetry|local]]'''. A local operation is in fact a symmetry operation, which is defined only on a part of the crystal space: local operations may constitute a [[subperiodic group]].</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>BrianMcMahonhttps://dictionary.iucr.org/index.php?title=Partial_symmetry&diff=2844&oldid=prevMassimoNespolo at 17:34, 28 December 20082008-12-28T17:34:24Z<p></p>
<p><b>New page</b></p><div><font color="blue">Symétrie partielle</font> (<i>Fr</i>); <font color="black">Simmetria parziale</font> (<i>It</i>)<br />
<br />
<br />
The symmetry operations of a [[space group]] are [[Euclidean mapping|isometries]] operating on the whole [[crystal pattern]] and are also called '''total operations''' or '''global operations'''. More generally, the crystal space can be divided in ''N'' components S<sub>1</sub> to S<sub>''N''</sub>, and a coincidence operation &phi;(S<sub>''i''</sub>)&rarr;S<sub>''j''</sub> can act on just the ''i''-th component S<sub>''i''</sub> to bring it to coincide with the ''j''-th component S<sub>''j''</sub>. Such an operation is not one of the operations of the space group of the crystal because it is not a coincidence operation of the whole crystal space; it is not even defined, in general, for any component ''k'' different from ''i''. It is called a '''partial operation''': from the mathematical viewpoint, partial operations are [[Groupoid|space-groupoid operations]]. <br />
<br />
When ''i'' = ''j'', ''i''.''e''. when the operation is &phi;(S<sub>''i''</sub>)&rarr;S<sub>''i''</sub> and brings a component to coincide with itself, the partial operation is of special type and is called '''[[local symmetry|local]]'''. A local operation is in fact a symmetry operation, which is defined only on a part of the crystal space: local operations may constitute a [[subperiodic group]].<br />
<br />
[[Category: Fundamental crystallography]]</div>MassimoNespolo