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About: Hermann–Mauguin notation
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class="text-nowrap">An Entity of Type: <a href="javascript:void()">Thing</a>, </span> <span class="text-nowrap">from Named Graph: <a href="http://dbpedia.org">http://dbpedia.org</a>, </span> <span class="text-nowrap">within Data Space: <a href="http://dbpedia.org">dbpedia.org</a></span> </div> </div> </div> <div class="row pt-2"> <div class="col-xs-9 col-sm-10"> <p class="lead">In geometry, Hermann–Mauguin notation is used to represent the symmetry elements in point groups, plane groups and space groups. It is named after the German crystallographer Carl Hermann (who introduced it in 1928) and the French mineralogist Charles-Victor Mauguin (who modified it in 1931). This notation is sometimes called international notation, because it was adopted as standard by the International Tables For Crystallography since their first edition in 1935.</p> </div> <div class="col-xs-3 col-sm-2"> <a href="#" class="thumbnail"> <img src="http://commons.wikimedia.org/wiki/Special:FilePath/Labeled_Triangle_Reflections.svg?width=300" alt="thumbnail" class="img-fluid" /> </a> </div> </div> </div> </section> <!-- page-header --> <!-- property-table --> <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"><small>dbo:</small>abstract</a> </td><td class="col-10 text-break"><ul> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ca" >La notació de Hermann-Mauguin o símbols de Hermann-Mauguin (o bé, notació internacional perquè va ser adoptada com a estàndard per la International Tables For Crystallography des de la seva primera edició de 1935.) prové dels cognoms de i de i proporciona els elements de les operacions de simetria d'un grup puntual o d'un grup d'espai la llargada de cada direcció de simetria d'un . La llargada d'una direcció de simetria es troba sempre de les operacions de simetria dins un grup holohedre, però no sempre en un grup meriedre. Les direccions de simetria són característiques de cada sistema reticular. La notació de Hermann–Mauguin, comparada amb la , és la preferida en la cristal·lografia. Una direcció de simetria de l'espai tridimensionnel s'indica per [uvw], on els tres índexs u, v, w són les coordenades del primer node de la xarxa la llargada de la direcció donada.</span><small> (ca)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="de" >Die Hermann-Mauguin-Symbolik (nach den Kristallographen Carl Hermann und Charles-Victor Mauguin) wird zur Beschreibung von Symmetrieelementen und Symmetriegruppen verwendet. Ihr Hauptanwendungsgebiet ist die Beschreibung der 32 kristallographischen Punktgruppen und der 230 kristallographischen Raumgruppen. Weiter wird sie zur Beschreibung zweidimensionaler ebener Gruppen, zwei- und dreidimensionaler subperiodischer Gruppen (Bandornament-, und ) und nicht-kristallographischer Gruppen verwendet. Normiert ist sie in den International Tables for Crystallography. Neben der Symbolik nach Hermann-Mauguin existiert eine Schreibweise nach Arthur Schoenflies, die Schoenflies-Symbolik. Sie wird jedoch kaum noch für die Beschreibung eines kristallinen Zustands genutzt, sondern zur Beschreibung der Symmetrie von Molekülen.</span><small> (de)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="es" >La notación de Hermann-Mauguin es usada en geometría para representar los en los distintos casos del grupo puntual, del grupo del papel pintado y del grupo espacial. Lleva el nombre del cristalógrafo alemán Carl Hermann (quien lo introdujo en 1928) y el mineralogista francés Charles-Victor Mauguin (quien lo modificó en 1931). Esta notación a veces se llama notación internacional, porque fue adoptada como estándar por las International Tables For Crystallography desde su primera edición en 1935. La notación de Hermann-Mauguin, en comparación con la notación de Schoenflies, se prefiere en cristalografía porque se puede usar fácilmente para incluir elementos de simetría traslacional y además especifica las direcciones de los ejes de simetría.</span><small> (es)</small></span></li> <li><span class="literal"><span property="dbo:abstract" lang="en" >In geometry, Hermann–Mauguin notation is used to represent the symmetry elements in point groups, plane groups and space groups. It is named after the German crystallographer Carl Hermann (who introduced it in 1928) and the French mineralogist Charles-Victor Mauguin (who modified it in 1931). This notation is sometimes called international notation, because it was adopted as standard by the International Tables For Crystallography since their first edition in 1935. The Hermann–Mauguin notation, compared with the Schoenflies notation, is preferred in crystallography because it can easily be used to include translational symmetry elements, and it specifies the directions of the symmetry axes.</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="fr" >Les symboles de Hermann-Mauguin (ou notation internationale), des noms de Carl Hermann et de Charles Victor Mauguin, donnent les éléments des opérations de symétrie d'un groupe ponctuel ou d'un groupe d'espace le long de chaque direction de symétrie d'un système réticulaire. Le long d'une direction de symétrie on trouve toujours des opérations de symétrie dans un groupe holohèdre, mais pas toujours dans un groupe mérièdre. Les directions de symétrie sont caractéristiques de chaque système réticulaire.</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="it" >Il sistema Hermann-Mauguin è una notazione utilizzata in cristallografia per descrivere i diversi gruppi puntuali, i e i gruppi spaziali. Deve il suo nome al cristallografo tedesco, (che la creò nel 1928) e al mineralogista francese, (il quale apportò modifiche nel 1931). Noto anche come sistema internazionale, il sistema è adottato come standard nelle Tabelle Internazionali per la Cristallografia ("International Tables For Crystallography" in inglese) sin dalla loro prima edizione del 1935. La notazione di Hermann–Mauguin è preferita in cristallografia poiché introduce in modo chiaro e semplice elementi di simmetria traslazionale e specifica la direzione degli assi di simmetria. Una notazione utilizzata in alternativa è il sistema Schoenflies, usata preferibilmente per classificare la simmetria delle molecole.</span><small> (it)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ja" >ヘルマン・モーガン記号(英語: Hermann–Mauguin notation)、または国際記号(英語: international notation)とは、結晶の点群や空間群、それらに含まれる対称要素の記述に用いられる記号である。ドイツの結晶学者とフランスの鉱物学者の名前に因んで名付けられた。</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ru" >Символы Германа — Могена используются для обозначения симметрии точечных групп (наряду с символами Шёнфлиса), плоских групп и пространственных групп. Были предложены немецким кристаллографом (англ. Carl Hermann) в 1928 году и модифицированы французским минералогом (фр. Charles Victor Mauguin) в 1931 году. Также называются международными символами, поскольку используются в Интернациональных Таблицах по Кристаллографии (International Tables for Crystallography), начиная с их первого издания в 1935 году. До этого для обозначения точечных и пространственных групп пользовались, как правило, символами Шёнфлиса.</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="zh" >在几何学中, 赫尔曼–莫甘记号(Hermann–Mauguin notation)是一套用于标记点群,和空间群中的对称要素的表示法,得名于德国晶体学家赫尔曼·卡尔(于1928年提出)和法国矿物学家查尔斯-维克多克·莫甘(于1931年修改)。1935年,在国际晶体学手册(International Tables For Crystallography)发表第一版时,赫尔曼–莫甘记号就被采用为标准记法,因而赫尔曼–莫甘记号有时也被称作国际记号(international notation)。 相比于(Schoenflies notation),赫尔曼–莫甘记号在晶体学中更加常用,其原因在于赫尔曼–莫甘记号更易于包含平移对称的元素,且指定了对称轴的方向。</span><small> (zh)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/thumbnail"><small>dbo:</small>thumbnail</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="dbo:thumbnail" resource="http://commons.wikimedia.org/wiki/Special:FilePath/Labeled_Triangle_Reflections.svg?width=300" 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href="http://dbpedia.org/resource/Category:Chemical_nomenclature"><small>dbc</small>:Chemical_nomenclature</a></span></li> <li><span class="literal"><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"><small>dbc</small>:Crystallography</a></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#comment"><small>rdfs:</small>comment</a> </td><td class="col-10 text-break"><ul> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="fr" >Les symboles de Hermann-Mauguin (ou notation internationale), des noms de Carl Hermann et de Charles Victor Mauguin, donnent les éléments des opérations de symétrie d'un groupe ponctuel ou d'un groupe d'espace le long de chaque direction de symétrie d'un système réticulaire. Le long d'une direction de symétrie on trouve toujours des opérations de symétrie dans un groupe holohèdre, mais pas toujours dans un groupe mérièdre. Les directions de symétrie sont caractéristiques de chaque système réticulaire.</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ja" >ヘルマン・モーガン記号(英語: Hermann–Mauguin notation)、または国際記号(英語: international notation)とは、結晶の点群や空間群、それらに含まれる対称要素の記述に用いられる記号である。ドイツの結晶学者とフランスの鉱物学者の名前に因んで名付けられた。</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ru" >Символы Германа — Могена используются для обозначения симметрии точечных групп (наряду с символами Шёнфлиса), плоских групп и пространственных групп. Были предложены немецким кристаллографом (англ. Carl Hermann) в 1928 году и модифицированы французским минералогом (фр. Charles Victor Mauguin) в 1931 году. Также называются международными символами, поскольку используются в Интернациональных Таблицах по Кристаллографии (International Tables for Crystallography), начиная с их первого издания в 1935 году. До этого для обозначения точечных и пространственных групп пользовались, как правило, символами Шёнфлиса.</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="zh" >在几何学中, 赫尔曼–莫甘记号(Hermann–Mauguin notation)是一套用于标记点群,和空间群中的对称要素的表示法,得名于德国晶体学家赫尔曼·卡尔(于1928年提出)和法国矿物学家查尔斯-维克多克·莫甘(于1931年修改)。1935年,在国际晶体学手册(International Tables For Crystallography)发表第一版时,赫尔曼–莫甘记号就被采用为标准记法,因而赫尔曼–莫甘记号有时也被称作国际记号(international notation)。 相比于(Schoenflies notation),赫尔曼–莫甘记号在晶体学中更加常用,其原因在于赫尔曼–莫甘记号更易于包含平移对称的元素,且指定了对称轴的方向。</span><small> (zh)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ca" >La notació de Hermann-Mauguin o símbols de Hermann-Mauguin (o bé, notació internacional perquè va ser adoptada com a estàndard per la International Tables For Crystallography des de la seva primera edició de 1935.) prové dels cognoms de i de i proporciona els elements de les operacions de simetria d'un grup puntual o d'un grup d'espai la llargada de cada direcció de simetria d'un . La llargada d'una direcció de simetria es troba sempre de les operacions de simetria dins un grup holohedre, però no sempre en un grup meriedre. Les direccions de simetria són característiques de cada sistema reticular.</span><small> (ca)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="de" >Die Hermann-Mauguin-Symbolik (nach den Kristallographen Carl Hermann und Charles-Victor Mauguin) wird zur Beschreibung von Symmetrieelementen und Symmetriegruppen verwendet. Ihr Hauptanwendungsgebiet ist die Beschreibung der 32 kristallographischen Punktgruppen und der 230 kristallographischen Raumgruppen. Weiter wird sie zur Beschreibung zweidimensionaler ebener Gruppen, zwei- und dreidimensionaler subperiodischer Gruppen (Bandornament-, und ) und nicht-kristallographischer Gruppen verwendet. Normiert ist sie in den International Tables for Crystallography.</span><small> (de)</small></span></li> <li><span class="literal"><span property="rdfs:comment" lang="en" >In geometry, Hermann–Mauguin notation is used to represent the symmetry elements in point groups, plane groups and space groups. It is named after the German crystallographer Carl Hermann (who introduced it in 1928) and the French mineralogist Charles-Victor Mauguin (who modified it in 1931). This notation is sometimes called international notation, because it was adopted as standard by the International Tables For Crystallography since their first edition in 1935.</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="es" >La notación de Hermann-Mauguin es usada en geometría para representar los en los distintos casos del grupo puntual, del grupo del papel pintado y del grupo espacial. Lleva el nombre del cristalógrafo alemán Carl Hermann (quien lo introdujo en 1928) y el mineralogista francés Charles-Victor Mauguin (quien lo modificó en 1931). Esta notación a veces se llama notación internacional, porque fue adoptada como estándar por las International Tables For Crystallography desde su primera edición en 1935.</span><small> (es)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="it" >Il sistema Hermann-Mauguin è una notazione utilizzata in cristallografia per descrivere i diversi gruppi puntuali, i e i gruppi spaziali. Deve il suo nome al cristallografo tedesco, (che la creò nel 1928) e al mineralogista francese, (il quale apportò modifiche nel 1931). Noto anche come sistema internazionale, il sistema è adottato come standard nelle Tabelle Internazionali per la Cristallografia ("International Tables For Crystallography" in inglese) sin dalla loro prima edizione del 1935.</span><small> (it)</small></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#label"><small>rdfs:</small>label</a> </td><td class="col-10 text-break"><ul> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ca" >Notació de Hermann-Mauguin</span><small> (ca)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="de" >Hermann-Mauguin-Symbolik</span><small> (de)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="es" >Notación de Hermann-Mauguin</span><small> (es)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="fr" >Symboles de Hermann-Mauguin</span><small> (fr)</small></span></li> <li><span class="literal"><span property="rdfs:label" lang="en" >Hermann–Mauguin notation</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="it" >Sistema Hermann-Mauguin</span><small> (it)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ja" >ヘルマン・モーガン記号</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ru" >Символика Германа — Могена</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="zh" >赫尔曼–莫甘记号</span><small> (zh)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://www.w3.org/2002/07/owl#sameAs"><small>owl:</small>sameAs</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="owl:sameAs" 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