Relationship Between Space Groups and Point Groups



After showing that the symmetry operations of a crystal form a group, we show how to go over from this group to the space group characterizing the crystal structure on the microscopic scale, and then to the point group, which governs its macroscopic physical properties. The rigorous proof is preceded by an example which allows the reader to grasp these notions intuitively.


Synchrotron Radiation Point Group Quotient Group Free Electron Laser Symmetry Operation 
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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Institut de Minéralogie, de Physique des Matériaux et de Cosmochimie, case 115, 4 place JussieuUniversité Pierre et Marie CurieParisFrance
  2. 2.Laboratoire Matériaux et Phénomènes Quantiques, Bâtiment Condorcet, case 7021Université Paris Diderot-Paris 7Paris CedexFrance
  3. 3.Grenoble-INP et Institut Néel du CNRS, B.P. 166Université Grenoble-AlpesGrenobleFrance

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