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href="http://dbpedia.org/resource/Magnetic_space_group">Magnetic space group</a> </h1> </div> </div> <div class="row"> <div class="col"> <div class="text-muted"> An Entity of Type: <a href="http://www.w3.org/2002/07/owl#Thing">Thing</a>, from Named Graph: <a href="http://dbpedia.org">http://dbpedia.org</a>, within Data Space: <a href="http://dbpedia.org">dbpedia.org</a> </div> </div> </div> <div class="row pt-2"> <div class="col-xs-9 col-sm-10"> In solid state physics, the magnetic space groups, or Shubnikov groups, are the symmetry groups which classify the symmetries of a crystal both in space, and in a two-valued property such as electron spin. To represent such a property, each lattice point is colored black or white, and in addition to the usual three-dimensional symmetry operations, there is a so-called "antisymmetry" operation which turns all black lattice points white and all white lattice points black. Thus, the magnetic space groups serve as an extension to the crystallographic space groups which describe spatial symmetry alone. </div> <div class="col-xs-3 col-sm-2"> <a href="#" class="thumbnail"> <img src="http://commons.wikimedia.org/wiki/Special:FilePath/PG_C1.png?width=300" alt="thumbnail" class="img-fluid" /> </a> </div> </div> </div> </section>   <section> <div class="container-xl"> <div class="row"> <div class="table-responsive"> <table class="table table-hover table-sm table-light"> <thead> <tr> <th class="col-xs-3 ">Property</th> <th class="col-xs-9 px-3">Value</th> </tr> </thead> <tbody> <tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/abstract">dbo:abstract</a> </td><td class="col-10 text-break"><ul> <li>In solid state physics, the magnetic space groups, or Shubnikov groups, are the symmetry groups which classify the symmetries of a crystal both in space, and in a two-valued property such as electron spin. To represent such a property, each lattice point is colored black or white, and in addition to the usual three-dimensional symmetry operations, there is a so-called "antisymmetry" operation which turns all black lattice points white and all white lattice points black. Thus, the magnetic space groups serve as an extension to the crystallographic space groups which describe spatial symmetry alone. The application of magnetic space groups to crystal structures is motivated by Curie's Principle. Compatibility with a material's symmetries, as described by the magnetic space group, is a necessary condition for a variety of material properties, including ferromagnetism, ferroelectricity, topological insulation. (en)</li> <li style="display:none;">Группа антисимметрии в теории симметрии — группа, состоящая из преобразований, которые могут менять не только геометрическое положение объекта, но и также его некоторую двухзначную характеристику. Такой двухзначной характеристикой может быть, например, заряд (плюс-минус), цвет (чёрный-белый), знак вещественной функции, направление спина (вверх-вниз). Группы антисимметрии называются также группами магнитной симметрии, а также группами чёрно-белой симметрии. По аналогии с этими группами вводятся (Беловские группы, так как они были предложены в работах академика Н. В. Белова), в которых каждая точка объекта характеризуется уже не двухзначным, а многозначным параметром (цветом). (ru)</li> <li style="display:none;">在固体物理学中，磁空间群或舒勃尼科夫群是晶体在空间和二值性质（如电子自旋）中的对称性进行分类的对称群。为表示这种性质，每个格点以黑色或白色表示，并且除了三维的对称操作外，还有个“反对称操作”，它将黑色和白色格点的颜色互换。因此，磁空间群作为晶体空间群的拓展，仅描述空间对称性。 (zh)</li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/thumbnail">dbo:thumbnail</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="dbo:thumbnail" resource="http://commons.wikimedia.org/wiki/Special:FilePath/PG_C1.png?width=300" href="http://commons.wikimedia.org/wiki/Special:FilePath/PG_C1.png?width=300">wiki-commons:Special:FilePath/PG_C1.png?width=300</a></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageExternalLink">dbo:wikiPageExternalLink</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="dbo:wikiPageExternalLink nofollow" resource="http://www.ftj.agh.edu.pl/~Pytlik/msdb/msdb.htm%7Ctitle=Database" 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class="uri" rel="dbp:wikiPageUsesTemplate" resource="http://dbpedia.org/resource/Template:Reflist" href="http://dbpedia.org/resource/Template:Reflist">dbt:Reflist</a></li> <li><a class="uri" rel="dbp:wikiPageUsesTemplate" resource="http://dbpedia.org/resource/Template:See_also" href="http://dbpedia.org/resource/Template:See_also">dbt:See_also</a></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://purl.org/dc/terms/subject">dcterms:subject</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="dcterms:subject" resource="http://dbpedia.org/resource/Category:Magnetic_ordering" prefix="dcterms: http://purl.org/dc/terms/" href="http://dbpedia.org/resource/Category:Magnetic_ordering">dbc:Magnetic_ordering</a></li> <li><a class="uri" rel="dcterms:subject" resource="http://dbpedia.org/resource/Category:Group_theory" prefix="dcterms: http://purl.org/dc/terms/" href="http://dbpedia.org/resource/Category:Group_theory">dbc:Group_theory</a></li> <li><a class="uri" rel="dcterms:subject" resource="http://dbpedia.org/resource/Category:Crystallography" prefix="dcterms: http://purl.org/dc/terms/" href="http://dbpedia.org/resource/Category:Crystallography">dbc:Crystallography</a></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://www.w3.org/1999/02/22-rdf-syntax-ns#type">rdf:type</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="rdf:type" resource="http://www.w3.org/2002/07/owl#Thing" href="http://www.w3.org/2002/07/owl#Thing">owl:Thing</a></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#comment">rdfs:comment</a> </td><td class="col-10 text-break"><ul> <li style="display:none;">在固体物理学中，磁空间群或舒勃尼科夫群是晶体在空间和二值性质（如电子自旋）中的对称性进行分类的对称群。为表示这种性质，每个格点以黑色或白色表示，并且除了三维的对称操作外，还有个“反对称操作”，它将黑色和白色格点的颜色互换。因此，磁空间群作为晶体空间群的拓展，仅描述空间对称性。 (zh)</li> <li>In solid state physics, the magnetic space groups, or Shubnikov groups, are the symmetry groups which classify the symmetries of a crystal both in space, and in a two-valued property such as electron spin. To represent such a property, each lattice point is colored black or white, and in addition to the usual three-dimensional symmetry operations, there is a so-called "antisymmetry" operation which turns all black lattice points white and all white lattice points black. Thus, the magnetic space groups serve as an extension to the crystallographic space groups which describe spatial symmetry alone. (en)</li> <li style="display:none;">Группа антисимметрии в теории симметрии — группа, состоящая из преобразований, которые могут менять не только геометрическое положение объекта, но и также его некоторую двухзначную характеристику. Такой двухзначной характеристикой может быть, например, заряд (плюс-минус), цвет (чёрный-белый), знак вещественной функции, направление спина (вверх-вниз). 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href="http://commons.wikimedia.org/wiki/Special:FilePath/PG_S6'.png">wiki-commons:Special:FilePath/PG_S6'.png</a></li> <li><a class="uri" rel="foaf:depiction" resource="http://commons.wikimedia.org/wiki/Special:FilePath/PG_S6.png" href="http://commons.wikimedia.org/wiki/Special:FilePath/PG_S6.png">wiki-commons:Special:FilePath/PG_S6.png</a></li> <li><a class="uri" rel="foaf:depiction" resource="http://commons.wikimedia.org/wiki/Special:FilePath/PG_T.png" href="http://commons.wikimedia.org/wiki/Special:FilePath/PG_T.png">wiki-commons:Special:FilePath/PG_T.png</a></li> <li><a class="uri" rel="foaf:depiction" resource="http://commons.wikimedia.org/wiki/Special:FilePath/PG_Td'.png" href="http://commons.wikimedia.org/wiki/Special:FilePath/PG_Td'.png">wiki-commons:Special:FilePath/PG_Td'.png</a></li> <li><a class="uri" rel="foaf:depiction" resource="http://commons.wikimedia.org/wiki/Special:FilePath/PG_Td.png" href="http://commons.wikimedia.org/wiki/Special:FilePath/PG_Td.png">wiki-commons:Special:FilePath/PG_Td.png</a></li> <li><a class="uri" rel="foaf:depiction" resource="http://commons.wikimedia.org/wiki/Special:FilePath/PG_Th'.png" href="http://commons.wikimedia.org/wiki/Special:FilePath/PG_Th'.png">wiki-commons:Special:FilePath/PG_Th'.png</a></li> <li><a class="uri" rel="foaf:depiction" resource="http://commons.wikimedia.org/wiki/Special:FilePath/PG_Th.png" href="http://commons.wikimedia.org/wiki/Special:FilePath/PG_Th.png">wiki-commons:Special:FilePath/PG_Th.png</a></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://xmlns.com/foaf/0.1/isPrimaryTopicOf">foaf:isPrimaryTopicOf</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="foaf:isPrimaryTopicOf" resource="http://en.wikipedia.org/wiki/Magnetic_space_group" href="http://en.wikipedia.org/wiki/Magnetic_space_group">wikipedia-en:Magnetic_space_group</a></li> </ul></td></tr><tr class="even"><td class="col-2">is <a class="uri" href="http://dbpedia.org/ontology/wikiPageRedirects">dbo:wikiPageRedirects</a> of</td><td class="col-10 text-break"><ul> <li><a class="uri" rev="dbo:wikiPageRedirects" resource="http://dbpedia.org/resource/Magnetic_space_groups" href="http://dbpedia.org/resource/Magnetic_space_groups">dbr:Magnetic_space_groups</a></li> <li><a class="uri" rev="dbo:wikiPageRedirects" resource="http://dbpedia.org/resource/Shubnikov_group" href="http://dbpedia.org/resource/Shubnikov_group">dbr:Shubnikov_group</a></li> <li><a class="uri" rev="dbo:wikiPageRedirects" resource="http://dbpedia.org/resource/Shubnikov_groups" href="http://dbpedia.org/resource/Shubnikov_groups">dbr:Shubnikov_groups</a></li> </ul></td></tr><tr class="odd"><td class="col-2">is <a class="uri" href="http://dbpedia.org/ontology/wikiPageWikiLink">dbo:wikiPageWikiLink</a> of</td><td class="col-10 text-break"><ul> <li><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Magnetic_space_groups" href="http://dbpedia.org/resource/Magnetic_space_groups">dbr:Magnetic_space_groups</a></li> <li><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Shubnikov_group" href="http://dbpedia.org/resource/Shubnikov_group">dbr:Shubnikov_group</a></li> <li><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Shubnikov_groups" href="http://dbpedia.org/resource/Shubnikov_groups">dbr:Shubnikov_groups</a></li> <li><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Magnetic_structure" href="http://dbpedia.org/resource/Magnetic_structure">dbr:Magnetic_structure</a></li> <li><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Alexei_Vasilievich_Shubnikov" href="http://dbpedia.org/resource/Alexei_Vasilievich_Shubnikov">dbr:Alexei_Vasilievich_Shubnikov</a></li> <li><a class="uri" rev="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/3-j_symbol" href="http://dbpedia.org/resource/3-j_symbol">dbr:3-j_symbol</a></li> </ul></td></tr><tr class="even"><td class="col-2">is <a class="uri" href="http://www.w3.org/2000/01/rdf-schema#seeAlso">rdfs:seeAlso</a> of</td><td class="col-10 text-break"><ul> <li><a class="uri" rev="rdfs:seeAlso" resource="http://dbpedia.org/resource/Multiferroics" href="http://dbpedia.org/resource/Multiferroics">dbr:Multiferroics</a></li> </ul></td></tr><tr class="odd"><td class="col-2">is <a class="uri" href="http://xmlns.com/foaf/0.1/primaryTopic">foaf:primaryTopic</a> of</td><td class="col-10 text-break"><ul> <li><a class="uri" rev="foaf:primaryTopic" resource="http://en.wikipedia.org/wiki/Magnetic_space_group" href="http://en.wikipedia.org/wiki/Magnetic_space_group">wikipedia-en:Magnetic_space_group</a></li> </ul></td></tr> </tbody> </table> </div> </div> </div> </section>   <section> <div class="container-xl"> <div class="text-center p-4 bg-light"> <a 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