Session | ||
MS-36: Generalizations of crystallographic groups and their applications
Invited: Pavel Kalouguine (France), Martin Cramer Pedersen (Denmark) | ||
Session Abstract | ||
Space groups describe the global symmetry of a periodic structure. Generalizations of space groups are often necessary to investigate additional structural features, physical properties or aperiodic structures. These generalizations include superspace groups and chromatic groups (collectively called metacrystallographic groups), groups in non-Euclidean geometries and groupoids. Whereas superspace groups are now part of the daily work of the structural crystallographer, other generalizations are less well known. The microsymposium aims at reviewing these concepts and presenting new results in the field. For all abstracts of the session as prepared for Acta Crystallographica see PDF in Introduction, or individual abstracts below. | ||
Introduction | ||
Presentations | ||
10:20am - 10:25am
ID: 1765 / MS-36: 1 Introduction Oral/poster Introduction to session 10:25am - 10:55am
ID: 726 / MS-36: 2 Theory, computation, modelling, data, standards Invited lecture to session MS: Generalizations of crystallographic groups and their applications Keywords: hyperbolic geometry, symmetry groups, chemical nets, graph embeddings, minimal surfaces Behind the curve: Generating and analysing nets and tessellations on periodic minimalsurfaces in their universal covering space 1Niels Bohr Institute, University of Copenhagen; 2Department of Food Science, University of Copenhagen; 3School of Chemistry, University of Sydney External Resource: https://www.xray.cz/iucrv/vidp.asp?id=273
10:55am - 11:25am
ID: 1203 / MS-36: 3 Physics and fundamental crystallography Invited lecture to session MS: Generalizations of crystallographic groups and their applications Keywords: aperiodic solids, quasicrystals, matching rules, diffraction, density Flat-branched semisimplicial complexes: a versatile tool for aperiodic solids 1Laboratoire de Physique des Solides, Université Paris-Saclay, Orsay, France; 2Directeur de recherche honoraire, CNRS, France External Resource: https://www.xray.cz/iucrv/vidp.asp?id=274
11:25am - 11:45am
ID: 354 / MS-36: 4 Bursary application Oral/poster MS: Generalizations of crystallographic groups and their applications Keywords: local and global color symmetry, coordinated colorings, chromatic groups Coordinated Colorings and their Chromatic Groups 1Southern Luzon State University - Lucena Campus, Lucena City, 4301, Philippines; 2Department of Mathematics and Physics, Central Luzon State University, Science City of Munoz, Nueva Ecija 3120, Philippines; 3Department of Mathematics, Ateneo de Manila University, Quezon City, Metro Manila 1108, Philippines Bibliography
A.K.M. Abila, M.L.A.N. De Las Peñas, and E.C. Taganap. “Local and global color symmetries of a symmetrical pattern”, Acta Crystallographica Section A: Foundations and Advances 75(5). External Resource: https://www.xray.cz/iucrv/vidp.asp?id=275
11:45am - 12:05pm
ID: 978 / MS-36: 5 Theory, computation, modelling, data, standards Oral/poster MS: Generalizations of crystallographic groups and their applications Keywords: magnetic superspace group, superspace symmetry detection, incommensurate, isotropy subgroup Advances in the application of magnetic and non-magnetic superspace-group symmetry Brigham Young University, Physics & Astronomy, Provo, Utah, USA External Resource: https://www.xray.cz/iucrv/vidp.asp?id=276
12:05pm - 12:25pm
ID: 1107 / MS-36: 6 Theory, computation, modelling, data, standards Oral/poster MS: Methods and software developments for magnetic-structure analysis, Generalizations of crystallographic groups and their applications, Crystal structure prediction Keywords: symmetry, magnetic ordering, magnetic groups, neutron diffraction Magnetic modes compatible with the symmetry of crystals University of Warsaw, Warsaw, Poland External Resource: https://www.xray.cz/iucrv/vidp.asp?id=277
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