Fundamentals of Crystallography - NFPL107
Title: Základy krystalografie
Guaranteed by: Department of Condensed Matter Physics (32-KFKL)
Faculty: Faculty of Mathematics and Physics
Actual: from 2019
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:1/1, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Teaching methods: full-time
Additional information: http://www.xray.cz/fpl107
Guarantor: prof. RNDr. Radomír Kužel, CSc.
doc. RNDr. Stanislav Daniš, Ph.D.
RNDr. Milan Dopita, Ph.D.
Classification: Physics > Solid State Physics
Opinion survey results   Examination dates   WS schedule   Noticeboard   
Annotation -
Last update: Mgr. Kateřina Mikšová (12.05.2022)
Crystal structures and symmetry. History, crystal lattice, plane and space lattices. Symmetry operations. Point, plane and space groups. Symmetry and physical properties. Chemical crystallography, structure databases, crystal structure visualization. Some properties of groups, groups in different dimensions. Comparison of structures.
Course completion requirements -
Last update: prof. RNDr. Radomír Kužel, CSc. (12.05.2022)

Active participation during semester. Solution of practical tasks. Oral exam with simple tasks non-requiring calculations

Literature -
Last update: prof. RNDr. Radomír Kužel, CSc. (10.05.2019)

Václav Valvoda, Milena Polcarová, Pavel Lukáč: Základy strukturní analýzy. Univerzita Karlova. Praha 1992.

I. Kraus: Úvod do strukturní rentgenografie. Academia. Praha 1985.

Další

Maureen M. Julian: Foundations of Crystallography with Computer Applications. CRC Press. Taylor and Francis Group. 2015

Boris K. Vainshtein: Modern crystallography. Vol. 1. Fundamentals of crystals. Symmetry, and methods of structural crystallography. (Second enlarged edition.) Berlin: Springer-Verlag, 1994

Robert E. Newnham: Properties of Materials. Anisotropy. Symmetry. Structure. Oxford University Press. 2005

Marc de Graaf and Michael McHenry: Structure of Materials. An Introduction to Crystallograhy, Diffraction and Symmetry. Cambridge University Press. 2007
Requirements to the exam - Czech
Last update: prof. RNDr. Radomír Kužel, CSc. (06.10.2017)

Zkouška je převážně ústní z probírané látky + příklady zaměřené na symetrii krystalů, rovinné a prostorové grupy.
Syllabus -
Last update: T_KFES (21.05.2004)
I. Crystals and their symmetry.
Historic introduction. Local symmetry of atoms in solids, directional and isotropic bonds of atoms. Construction of crystals with the aid of the atomic layers with different symmetry - close packed structures, primitive and centered structures. Interstitial structures. Crystal representation with the aid of projections - crystallographic planes.

II. Representation of symmetry of ordered structures
Translation periodicity of crystals. Plane and space (Bravais) lattices. Crystallogrpahic classes. Notation of planes, directions and points. Reciprocal lattice. Miller indeces. Crystallographic symmetry elements. Matrix representation of symmetry elements. Macroscopic symmetry of crystals and point group. Plane and space groups. Stereographic projection.

III. Representation of crystallographic groups
Introduction to group theory. Basic definitions. Crystallogrpahic groups. Sub-groups and super-groups. Examples of groups. Classification of plane and space groups in International Tables of Crystallography.

International (Hermann-Mauguin) and Schoenflies symbols. Diagrams of space groups. Generators. Wyckoff positions.

IV. Symmetry and physiacl properties of crystals
Anisotropy of physical properties and their tensor description. Anisotropic temperature factor. Electric and elastic properties of crystals - pyroelectricity, dielectric and optical properties, piezoelectricity