# Topics:PCG Portfolio

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- Crystal structures and their transformations

- Space Group Symmetry
- Symmetry lowering
- Structural phase transitions – Landau theory
- Representation analysis
- Tensors in crystallography
- Charge density
- Modulated crystal structures – Superspace group approach

- Elastic properties

- Strain-stress relations
- Pressure effects

- Bulk properties

- Thermal expansion in crystals
- Atomic displacement parameters: relationship with phonons fireworks and specific heat.

- Magnetic structures

- Description of magnetic structures – propagation vectors
- Magnetic symmetry analysis – irreps and coreps
- Spin density determination with polarised neutrons.
- XYZ and spherical polarimetry applied to crystalline materials

- Microstructure analysis

- Strain effects
- Particle size and distribution
- Stacking faults
- Texture

- Diffraction methods

- CW neutron and x-rays
- TOF neutrons
- Energy dispersive x-rays
- Diffraction imaging – TEDDI etc.
- Time-resolved crystallography
- Crystallography under high pressure
- High-magnetic-field crystallography
- SX techniques: Laue, time-sorted Laue…

- Data analysis

- Refinement of structural parameters –least square – Rietveld
- Direct-space methods – simulated annealing
- Single-crystal techniques – twinning

- Instrumentation

- Diffraction geometries
- Principles of TOF/CW instrument design
- Detector technologies of X-rays and neutrons