Crystallography and Magnetic Phenomena
This essay describes the development of groups used for the specification of symmetries from ordinary and magnetic point groups to Fedorov and magnetic space groups, as well as other varieties of groups useful in the study of symmetric objects. In particular, we consider the problem of some incorrec...
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| Language: | English |
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MDPI AG
2015-02-01
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| Series: | Symmetry |
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| Online Access: | http://www.mdpi.com/2073-8994/7/1/125 |
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doaj-99be3706076f400b8b779b0f7e944e332020-11-24T22:32:13ZengMDPI AGSymmetry2073-89942015-02-017112514510.3390/sym7010125sym7010125Crystallography and Magnetic PhenomenaVojtěch Kopský0Bajkalska 28, Praha 10, 100 00 Prague, Czech RepublicThis essay describes the development of groups used for the specification of symmetries from ordinary and magnetic point groups to Fedorov and magnetic space groups, as well as other varieties of groups useful in the study of symmetric objects. In particular, we consider the problem of some incorrectness in Vol. A of the International Tables for Crystallography. Some results of tensor calculus are presented in connection with magnetoelectric phenomena, where we demonstrate the use of Ascher’s trinities and Opechowski’s magic relations and their connection. Specific tensor decomposition calculations on the grounds of Clebsch Gordan products are illustrated.http://www.mdpi.com/2073-8994/7/1/125magnetic space groupsmagnetoelectricitytrinitiesmagic relationstensorsInternational Tables |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Vojtěch Kopský |
| spellingShingle |
Vojtěch Kopský Crystallography and Magnetic Phenomena Symmetry magnetic space groups magnetoelectricity trinities magic relations tensors International Tables |
| author_facet |
Vojtěch Kopský |
| author_sort |
Vojtěch Kopský |
| title |
Crystallography and Magnetic Phenomena |
| title_short |
Crystallography and Magnetic Phenomena |
| title_full |
Crystallography and Magnetic Phenomena |
| title_fullStr |
Crystallography and Magnetic Phenomena |
| title_full_unstemmed |
Crystallography and Magnetic Phenomena |
| title_sort |
crystallography and magnetic phenomena |
| publisher |
MDPI AG |
| series |
Symmetry |
| issn |
2073-8994 |
| publishDate |
2015-02-01 |
| description |
This essay describes the development of groups used for the specification of symmetries from ordinary and magnetic point groups to Fedorov and magnetic space groups, as well as other varieties of groups useful in the study of symmetric objects. In particular, we consider the problem of some incorrectness in Vol. A of the International Tables for Crystallography. Some results of tensor calculus are presented in connection with magnetoelectric phenomena, where we demonstrate the use of Ascher’s trinities and Opechowski’s magic relations and their connection. Specific tensor decomposition calculations on the grounds of Clebsch Gordan products are illustrated. |
| topic |
magnetic space groups magnetoelectricity trinities magic relations tensors International Tables |
| url |
http://www.mdpi.com/2073-8994/7/1/125 |
| work_keys_str_mv |
AT vojtechkopsky crystallographyandmagneticphenomena |
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