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Crystallography
Kristallographie
Last Updated: 2026-02-05 16:02:13
Abstract
The properties of crystals, which represent a large part of solid materials, are closely related to their structural symmetry. The aim of the lecture crystallography is to convey concepts and mathematical basics of symmetry theory, structure-property relationships, as well as the basic features of structure determination. Simple crystal structure types are discussed.
Objective
Introduction into the fundamental relationships between crystal structure, symmetry, and physical properties of solids. Emphasis: group-theoretical introduction into symmetry, discussion of the factors governing the formation of crystal structures, structural dependence of physical properties, fundamentals of experimental techniques probing the crystal structure.
Content
Symmetry and order: symmetry operations and lattices in two and three dimensions, point groups, space groups. Crystal structures: symmetry and geometrical factors governing the formation of crystal structures; close sphere packings; typical basic crystal structures. Structure/property relationships: Neumann's principle; examples: piezoelectricity, ferroelectric. Materials characterization: diffraction techniques.
Resources
Lecture Notes
A script of the lecture until 2014 is available. Script notes for the present lecture will be provided before the start of the lecture.
Literature
Walter Borchardt-Ott: Kristallographie. Springer 2002. Dieter Schwarzenbach: Kristallographie. Springer 2001.
General Information
- Language
- German
- Levels
- BSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- written 90 minutes
- Aids
- None
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture with exercise | Kristallographie |
|
2 h weekly |