Conference Agenda

Session
MS-36: Generalizations of crystallographic groups and their applications
Time:
Tuesday, 17/Aug/2021:
10:20am - 12:45pm

Session Chair: Gregory L McColm
Session Chair: Eden Delight Miro
Location: 221-2

60 2nd floor

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

Introduction to session

Gregory L McColm, Eden Delight Miro



10:25am - 10:55am

Behind the curve: Generating and analysing nets and tessellations on periodic minimalsurfaces in their universal covering space

Martin Cramer Pedersen1, Jacob J. K. Kirkensgaard1,2, Stephen T. Hyde3

1Niels Bohr Institute, University of Copenhagen; 2Department of Food Science, University of Copenhagen; 3School of Chemistry, University of Sydney



10:55am - 11:25am

Flat-branched semisimplicial complexes: a versatile tool for aperiodic solids

Pavel Kalugin1, André Katz2

1Laboratoire de Physique des Solides, Université Paris-Saclay, Orsay, France; 2Directeur de recherche honoraire, CNRS, France



11:25am - 11:45am

Coordinated Colorings and their Chromatic Groups

Agatha Kristel M. Abila1, Eduard C. Taganap2, Ma. Louise Antonette N. De las Peñas3

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



11:45am - 12:05pm

Advances in the application of magnetic and non-magnetic superspace-group symmetry

Branton J Campbell, Harold T Stokes

Brigham Young University, Physics & Astronomy, Provo, Utah, USA



12:05pm - 12:25pm

Magnetic modes compatible with the symmetry of crystals

Radoslaw Przenioslo, Piotr Fabrykiewicz, Izabela Sosnowska

University of Warsaw, Warsaw, Poland