https://dictionary.iucr.org/index.php?title=Subperiodic_crystal&feed=atom&action=history
Subperiodic crystal - Revision history
2024-03-28T09:35:25Z
Revision history for this page on the wiki
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https://dictionary.iucr.org/index.php?title=Subperiodic_crystal&diff=4856&oldid=prev
MassimoNespolo: grammar
2021-02-23T15:32:45Z
<p>grammar</p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 15:32, 23 February 2021</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;"></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 '''subperiodic crystal''' is a solid showing periodicity in a subspace of the three-dimensional Euclidean space. Subperiodic crystals are ordered thin film (including mono-layer) materials or [[modular crystal structure]]s in which the orientation / position of successive modules results in missing periodicity in at least one direction.</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 '''subperiodic crystal''' is a solid showing periodicity in a subspace of the three-dimensional Euclidean space. Subperiodic crystals are ordered thin<ins class="diffchange diffchange-inline">-</ins>film (including mono-layer) materials or <ins class="diffchange diffchange-inline">are </ins>[[modular crystal structure]]s in which the orientation / position of successive modules results in missing periodicity in at least one direction.</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>Subperiodic crystals are classified in the following categories.</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>Subperiodic crystals are classified in the following categories.</div></td></tr>
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MassimoNespolo
https://dictionary.iucr.org/index.php?title=Subperiodic_crystal&diff=4855&oldid=prev
MassimoNespolo: slight reformulation to prepare the new proposal Carol Brock is working on + typos
2021-02-23T09:15:00Z
<p>slight reformulation to prepare the new proposal Carol Brock is working on + typos</p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 09:15, 23 February 2021</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;"></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 '''subperiodic crystal''' is a solid showing periodicity in a subspace of the three-dimensional Euclidean space. Subperiodic crystals are thin<del class="diffchange diffchange-inline">-layer </del>(<del class="diffchange diffchange-inline">possibly </del>mono-layer<del class="diffchange diffchange-inline">( </del>materials or [[modular crystal structure]]s in which the orientation / position of successive modules results in missing periodicity in at least one direction.</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 '''subperiodic crystal''' is a solid showing periodicity in a subspace of the three-dimensional Euclidean space. Subperiodic crystals are <ins class="diffchange diffchange-inline">ordered </ins>thin <ins class="diffchange diffchange-inline">film </ins>(<ins class="diffchange diffchange-inline">including </ins>mono-layer<ins class="diffchange diffchange-inline">) </ins>materials or [[modular crystal structure]]s in which the orientation / position of successive modules results in missing periodicity in at least one direction.</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>Subperiodic crystals are classified in the following categories.</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>Subperiodic crystals are classified in the following categories.</div></td></tr>
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MassimoNespolo
https://dictionary.iucr.org/index.php?title=Subperiodic_crystal&diff=4854&oldid=prev
MassimoNespolo: slight reformulation to prepare the new proposal Carol Brock is working on
2021-02-23T09:13:59Z
<p>slight reformulation to prepare the new proposal Carol Brock is working on</p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 09:13, 23 February 2021</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l2" >Line 2:</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;"></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>A '''subperiodic crystal''' is a solid showing periodicity in a subspace of the three-dimensional Euclidean space. Subperiodic crystals are [[modular crystal structure]]s in which the orientation / position of successive modules results in missing periodicity in at least one direction.</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 '''subperiodic crystal''' is a solid showing periodicity in a subspace of the three-dimensional Euclidean space. Subperiodic crystals are <ins class="diffchange diffchange-inline">thin-layer (possibly mono-layer( materials or </ins>[[modular crystal structure]]s in which the orientation / position of successive modules results in missing periodicity in at least one direction.</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>Subperiodic crystals are classified in the following categories.</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>Subperiodic crystals are classified in the following categories.</div></td></tr>
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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;"></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 building modules can be of three types.</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 building modules <ins class="diffchange diffchange-inline">of modular structures </ins>can be of three types.</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>* ''Layers or sheets'', whose symmetry is described by one of the 80 types of [[subperiodic group|layer group]]; if the stacking of layers is periodic, a conventional, triperiodic crystal is obtained, although the period along the stacking direction may be much longer than the period along any direction within the modules; otherwise, the crystal is diperiodic and its diffraction pattern shows diffuse scattering along the direction of missing periodicity.</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>* ''Layers or sheets'', whose symmetry is described by one of the 80 types of [[subperiodic group|layer group]]; if the stacking of layers is periodic, a conventional, triperiodic crystal is obtained, although the period along the stacking direction may be much longer than the period along any direction within the modules; otherwise, the crystal is diperiodic and its diffraction pattern shows diffuse scattering along the direction of missing periodicity.</div></td></tr>
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MassimoNespolo
https://dictionary.iucr.org/index.php?title=Subperiodic_crystal&diff=4853&oldid=prev
MassimoNespolo: slight reformulation to prepare the new proposal Carol Brock is working on
2021-02-23T09:11:36Z
<p>slight reformulation to prepare the new proposal Carol Brock is working on</p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 09:11, 23 February 2021</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;"></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 '''subperiodic crystal''' is a <del class="diffchange diffchange-inline">[[crystal]] </del>showing periodicity in a subspace of the three-dimensional Euclidean space. Subperiodic crystals are [[modular crystal structure]]s in which the orientation / position of successive modules results in missing periodicity in at least one direction.</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 '''subperiodic crystal''' is a <ins class="diffchange diffchange-inline">solid </ins>showing periodicity in a subspace of the three-dimensional Euclidean space. Subperiodic crystals are [[modular crystal structure]]s in which the orientation / position of successive modules results in missing periodicity in at least one direction.</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>Subperiodic crystals are classified in the following categories.</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>Subperiodic crystals are classified in the following categories.</div></td></tr>
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MassimoNespolo
https://dictionary.iucr.org/index.php?title=Subperiodic_crystal&diff=4849&oldid=prev
MassimoNespolo at 16:17, 18 February 2021
2021-02-18T16:17:24Z
<p></p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 16:17, 18 February 2021</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>Subperiodic crystals are classified in the following categories.</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>Subperiodic crystals are classified in the following categories.</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>* ''Diperiodic crystals'', showing periodicity along two of the three directions of three-dimensional Euclidean space<del class="diffchange diffchange-inline">; examples include polytypes </del>built by layers whose sequence is non-periodic ("disordered")<del class="diffchange diffchange-inline">, </del>thin films<del class="diffchange diffchange-inline">, graphene</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>* ''Diperiodic crystals'', showing periodicity along two of the three directions of three-dimensional Euclidean space<ins class="diffchange diffchange-inline">. Polytypes </ins>built by layers whose sequence is non-periodic ("disordered") <ins class="diffchange diffchange-inline">are one important example. Graphene and ordered </ins>thin films <ins class="diffchange diffchange-inline">are another</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>* ''Monoperiodic crystals'', showing periodicity along one of the three directions of three-dimensional Euclidean space; examples include polytypes built by rods whose sequence is non-periodic ("disordered") in both directions.</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>* ''Monoperiodic crystals'', showing periodicity along one of the three directions of three-dimensional Euclidean space; examples include polytypes built by rods whose sequence is non-periodic ("disordered") in both directions.</div></td></tr>
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MassimoNespolo
https://dictionary.iucr.org/index.php?title=Subperiodic_crystal&diff=4848&oldid=prev
MassimoNespolo: examples.
2021-02-18T15:38:49Z
<p>examples.</p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 15:38, 18 February 2021</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>Subperiodic crystals are classified in the following categories.</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>Subperiodic crystals are classified in the following categories.</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>* ''Diperiodic crystals'', showing periodicity along two of the three directions of three-dimensional Euclidean space;</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>* ''Diperiodic crystals'', showing periodicity along two of the three directions of three-dimensional Euclidean space; <ins class="diffchange diffchange-inline">examples include polytypes built by layers whose sequence is non-periodic ("disordered"), thin films, graphene.</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>* ''Monoperiodic crystals'', showing periodicity along one of the three directions of three-dimensional Euclidean space.</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>* ''Monoperiodic crystals'', showing periodicity along one of the three directions of three-dimensional Euclidean space<ins class="diffchange diffchange-inline">; examples include polytypes built by rods whose sequence is non-periodic ("disordered") in both directions</ins>.</div></td></tr>
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MassimoNespolo
https://dictionary.iucr.org/index.php?title=Subperiodic_crystal&diff=4843&oldid=prev
MassimoNespolo: Created page with "<font color="blue">Cristal sous-périodique</font> (''Fr''). <font color="red">Subperiodische Kristall</font> (''Ge''). <font color="black">Cristallo subperiodico</font> (''It..."
2021-02-17T15:06:37Z
<p>Created page with "<font color="blue">Cristal sous-périodique</font> (''Fr''). <font color="red">Subperiodische Kristall</font> (''Ge''). <font color="black">Cristallo subperiodico</font> (''It..."</p>
<p><b>New page</b></p><div><font color="blue">Cristal sous-périodique</font> (''Fr''). <font color="red">Subperiodische Kristall</font> (''Ge''). <font color="black">Cristallo subperiodico</font> (''It''). <font color="purple">亜周期結晶</font> (''Ja''). <font color="green">Cristal subperiódico</font> (''Sp'').<br />
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A '''subperiodic crystal''' is a [[crystal]] showing periodicity in a subspace of the three-dimensional Euclidean space. Subperiodic crystals are [[modular crystal structure]]s in which the orientation / position of successive modules results in missing periodicity in at least one direction.<br />
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Subperiodic crystals are classified in the following categories.<br />
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* ''Diperiodic crystals'', showing periodicity along two of the three directions of three-dimensional Euclidean space;<br />
* ''Monoperiodic crystals'', showing periodicity along one of the three directions of three-dimensional Euclidean space.<br />
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The building modules can be of three types.<br />
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* ''Layers or sheets'', whose symmetry is described by one of the 80 types of [[subperiodic group|layer group]]; if the stacking of layers is periodic, a conventional, triperiodic crystal is obtained, although the period along the stacking direction may be much longer than the period along any direction within the modules; otherwise, the crystal is diperiodic and its diffraction pattern shows diffuse scattering along the direction of missing periodicity.<br />
* ''Rods or chains'', whose symmetry is described by one of the 75 types of [[subperiodic group|rod group]]; if the stacking of rods is periodic in both directions a conventional, triperiodic crystal is obtained, although the period along the stacking directions may be much longer than the period along the rod; otherwise, the crystal is diperiodic or monoperiodic depending on whether the lack of periodicity occurs in one or both directions. Accordingly, its diffraction pattern shows diffuse scattering along the direction(s) of missing periodicity.<br />
* ''Blocks or bricks'', whose symmetry is described by one of the 32 types of crystallographic [[point group|point group]]; if the stacking of modules is periodic in all the three directions, a conventional, triperiodic crystal is obtained; otherwise, the solid is diperiodic, monoperiodic or non-periodic depending on whether the lack of periodicity occurs in one, two or three directions. Accordingly, its diffraction pattern shows diffuse scattering along the direction(s) of missing periodicity. A non-periodic solid is no longer a crystal.<br />
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[[Category:Fundamental crystallography]]</div>
MassimoNespolo