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International Union of Crystallography
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Second Balkan School on Fundamental Crystallography / Workshop on Magnetic Symmetry and its Application in Magnetic Structure Description
Istanbul, Turkey, 13-19 July 2015
The event was intended to teach the fundamentals of crystallography, starting from theoretical group theory and its applications in solid state and magnetic symmetry.
A workshop where the participants can apply the methods taught directly on their cases at hand as well as having the opportunity to present their work also went on in parallel, as part of the school.
The school has been held in the Institute of Theoretical and Applied Physics (ITAP), located within the Ayazaga campus of the Istanbul Technical University (ITU), Istanbul, Turkey.
Scientific Program
SECTION I: INTRODUCTION AND BASIC CONCEPTS
- Affine spaces vs. vector spaces
- Mappings: affine and Euclidean; isometries
- Sets; homomorphisms, isomorphisms, automorphisms
- Symmetry operations as special case of isometries
- Introduction to group theory: abstract groups, subgroups, cosets
SECTION II: CRYSTALLOGRAPHY IN DIRECT SPACE
- Periodic structure of the crystalline matter
- Crystal lattice vs. crystal pattern and crystal structure
- Crystallographic calculations in direct space
- Symmetry directions in a lattice
- Unit cells: primitive cells, multiple cells, conventional cells in 2D and 3D
- Crystal families
- Symmetry groups and types of symmetry in direct space
- morphological symmetry
- symmetry of physical properties
- symmetry of lattices
- symmetry of the unit cell content
- symmetry of crystallographic patterns
- Hermann-Mauguin symbols for point groups
- Lattice systems
- Crystal systems
- Stereographic projection and the morphology of crystals
- Types of crystallographic point groups through the stereographic projection
- Symmetry operations with a glide component
- Space groups and types of space groups
- Exercises on the space group diagrams from Volume A of the International Tables for Crystallography
- Online tools for crystallography
SECTION III: CRYSTALLOGRAPHY IN RECIPROCAL SPACE
- The concept of dual lattices and the reciprocal lattice
- Crystallographic calculations in reciprocal space
- Integral, zonal and serial reflection conditions and their use to determine the space-group type
SECTION IV: CRYSTALLOGRAPHY ONLINE
- Introduction to the Bilbao Crystallographic Server
- Space Groups Retrieval Tools
- Group - Subgroup Relations of Space Groups
- Structure utilities and computer tools: different structure descriptions and structural relationships
- Tools for the study of structural phase transitions on the Bilbao Crystallographic Server
SECTION V: MAGNETIC SYMMETRY
- Magnetic space groups
- Representation analysis vs. magnetic symmetry description of magnetic structures
- Magnetic symmetry applications in the Bilbao Crystallographic Server
- Reflection conditions for magnetic space groups
- Maximal magnetic space groups for a given propagation vector and resulting magnetic structural models
- Database of magnetic structures on the Bilbao Crystallographic Server
International Program Committee and Lecturers
Program Committee- Massimo Nespolo, Université de Lorraine, Nancy, France
- Mois I. Aroyo, University of the Basque Country, Bilbao, Spain
- Suheyla Ozbey, Hacettepe University, Ankara, Turkey
- Emre S. Tasci, Middle East Technical University, Ankara, Turkey
Lecturers
- Mois I. Aroyo, University of the Basque Country, Bilbao, Spain
- J. Manuel Perez-Mato, University of the Basque Country, Bilbao, Spain
- Rosica P. Nicolova, Bulgarian Academy of Sciences, Sofia, Bulgaria
- F. Betul Kaynak, Hacettepe University, Ankara, Turkey
- Emre S. Tasci, Hacettepe University, Ankara, Turkey
Local Organizers
- Tolga Birkandan, Istanbul Technical University, Istanbul, Turkey
- Damla Kocak, Hacettepe University, Ankara, Turkey
- Cem Lider, Middle East Technical University, Ankara, Turkey
- Mustafa Tek, Middle East Technical University, Ankara, Turkey
- Ceren Sibel Sayin, Middle East Technical University, Ankara, Turkey
Details about the school are available at the local website.
The Organizers of the Second Balkan School on Fundamental Crystallography / Workshop on Magnetic Symmetry and its Application in Magnetic Structure Description have observed the basic policy of non-discrimination and affirms the right and freedom of scientists to associate in international scientific activity without regard to such factors as citizenship, religion, creed, political stance, ethnic origin, race, colour, language, age or sex, in accordance with the Statutes of the International Council for Science. At this school no barriers existed which would have preventd the participation of bona fide scientists.
