Special Issue "Crystal Symmetry and Structure"


A special issue of Symmetry (ISSN 2073-8994).

Deadline for manuscript submissions: closed (31 May 2014)

Special Issue Editor

Guest Editor
Prof. Dr. Gervais Chapuis
Federal School of Technology (EPFL), Route Cantonale, 1015 Lausanne, Switzerland
Website: http://people.epfl.ch/gervais.chapuis
E-Mail: gervais.chapuis@epfl.ch
Interests: (computer aided) crystallographic teaching; aperiodic material; incommensurate crystals; superspace symmetry

Special Issue Information

Dear Colleagues,

The concept of crystal structure is intimately related to the notion of symmetry. W.L. Bragg published the description of the first structures only a year after the discovery of diffraction by crystals a century ago. By combining both diffraction and symmetry considerations he could solve the first crystal structures. The description of the symmetry properties of the 230 space groups a few years later by P. Niggli in 1919 is at the origin of the tremendous success of diffraction methods for the elucidation of structures. Space groups are systematically used nowadays to solve, describe and classify any of them.

The paradigm of the three dimensional periodicity of crystalline matter ended up in the 1970’s when aperiodic structures were discovered. The classical concept of three-dimensional symmetry had to be extended to higher dimensional symmetry considerations. Currently, it is not unusual to describe well-ordered structures but aperiodic ones in space up to six dimensions, in the frame of the so-called superspace symmetry groups.

It is the aim of this special issue of Symmetry to present a broad spectrum of modern and recent aspects of symmetry considerations, which are at the disposal of the specialists in order to improve our understanding of the fine structure details of crystalline solids.

Prof. Dr. Gervais Chapuis
Guest Editor


Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. Papers will be published continuously (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are refereed through a peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed Open Access quarterly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 500 CHF (Swiss Francs). English correction and/or formatting fees of 250 CHF (Swiss Francs) will be charged in certain cases for those articles accepted for publication that require extensive additional formatting and/or English corrections.


  • point group symmetry
  • space group symmetry
  • superspace group symmetry
  • periodic crystal structures
  • aperiodic crystal structures
  • Bravais lattices
  • diffraction symmetry
  • local symmetry
  • scaling symmetry
  • molecular symmetry

Published Papers (6 papers)

Symmetry 2014, 6(3), 589-621; doi:10.3390/sym6030589
Received: 11 March 2014; in revised form: 27 June 2014 / Accepted: 3 July 2014 / Published: 21 July 2014
Show/Hide Abstract | PDF Full-text (866 KB)

Symmetry 2014, 6(2), 171-188; doi:10.3390/sym6020171
Received: 21 February 2014; in revised form: 18 March 2014 / Accepted: 26 March 2014 / Published: 31 March 2014
Show/Hide Abstract | Cited by 1 | PDF Full-text (493 KB) | HTML Full-text | XML Full-text

Symmetry 2014, 6(1), 148-163; doi:10.3390/sym6010148
Received: 21 January 2014; in revised form: 24 February 2014 / Accepted: 12 March 2014 / Published: 20 March 2014
Show/Hide Abstract | PDF Full-text (1355 KB) | HTML Full-text | XML Full-text

by  and
Symmetry 2012, 4(4), 566-580; doi:10.3390/sym4040566
Received: 3 August 2012; in revised form: 25 September 2012 / Accepted: 28 September 2012 / Published: 10 October 2012
Show/Hide Abstract | Cited by 1 | PDF Full-text (244 KB)

by  and
Symmetry 2012, 4(3), 537-544; doi:10.3390/sym4030537
Received: 3 July 2012; in revised form: 22 August 2012 / Accepted: 22 August 2012 / Published: 27 August 2012
Show/Hide Abstract | Cited by 2 | PDF Full-text (306 KB) | HTML Full-text | XML Full-text

Symmetry 2012, 4(3), 379-426; doi:10.3390/sym4030379
Received: 11 June 2012; in revised form: 27 June 2012 / Accepted: 5 July 2012 / Published: 17 July 2012
Show/Hide Abstract | Cited by 1 | PDF Full-text (20907 KB)
abstract graphic

Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

Title: Alternative Settings of Magnetic Space Groups
Type: Review
Authors: Branton Campbell and Harold T. Stokes
Abstract: The use of magnetic symmetry groups (Shubnikov) in the description and analysis of commensurate magnetic structures is becoming increasingly common. The cells, operators and group symbols of Belov, Neronova and Smirnova (BNS) and of Opechowski and Guccione (OG) provide two equivalent but somewhat different systems for describing a Shubnikov group. We will review the use of and the relationship between these two systems in the context of alternative space-group settings.

Last update: 27 January 2014

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