Mathematical crystallography in the 21st century-Reference-Cited by-同舟云学术

Mathematical crystallography in the 21st century

Published:2015-11-01 Issue:12 Volume:230 Page:691-698
ISSN:2196-7105
Container-title:Zeitschrift für Kristallographie - Crystalline Materials
language:en
Short-container-title:

Author:

Senechal Marjorie¹

Affiliation:

1. Smith College, Northampton, Massachusetts, USA

Abstract

Abstract As crystallography merges with materials science and engineering, mathematical crystallography is growing in new directions, including: Characterizing new materials with unusual properties; Imaging, including but not limited to diffraction; Exploring and exploiting superspaces; Mapping the aperiodic landscape, from chaos to classical periodicity and beyond; Re-modeling the structures of real crystals, both periodic and aperiodic; Modeling self-assembly and self-reorganization on the nanoscale. In short, it’s not (just) about space groups and tilings anymore.

Publisher

Walter de Gruyter GmbH

Subject

Inorganic Chemistry,Condensed Matter Physics,General Materials Science

Link

https://www.degruyter.com/document/doi/10.1515/zkri-2015-1870/pdf

Reference49 articles.

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2. H. Brown, R. Bülow, J. Neubüser, H. Wondratschek, H. Zassenhaus, Crystallographic Groups of Four-Dimensional Space, John Wiley & Sons, New York, 1978.

3. For a current summary, see https://en.wikipedia.org/wiki/Space_groups. Accessed September 7, 2015.

4. B. Yandell, ed., The Honors Class, A.K. Peters Natick, 2001.

5. M. Senechal, What is . . . a quasicrystal? Notices Amer. Math. Soc.2006, 53, 886; http://www.ams.org/notices/200608/whatis–senechal.pdf. Accessed September 7, 2015.