Crystallography

Abstract

Introduction into the fundamental relationships between chemical composition, crystal structure and physical properties of solids.Emphasis is on the group-theoretical introduction into symmetry, on the discussion of the factors governing the formation of crystal structures, on the structural dependence of physical properties as well as on the fundamentals of X-ray diffraction.

Objective

Introduction into the fundamental relationships between chemical composition, crystal structure and physical properties of solids.

Content

Symmetry and order: Point groups (32 crystal classes), Translation groups (14 Bravais lattices), 2D and 3D space groups. Crystal chemistry: geometrical, physical and chemical factors governing the formation of crystal structures; close sphere packings; typical basic crystal structures; lattice energy; noncrystallographic symmetry - quasicrystals; structure of surfaces. Structure/property relationships: Example super ionic conductors; quartz (piezoelectricity); perowskite and derivative structures (ferroelectrics and high-temperature superconductors); magnetic materials (SmCo5 type). Materials characterization: X-ray diffraction on single and polycrystalline materials.

Resources