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Objective

The objective of this school is to provide students with a basic understanding of the structure and properties of hypermaterials. It also aims to provide a stepping stone for young people to participate in research in this fascinating field.

The following topics will be selected and treated in each lecture.
  • Modulated structures
  • Composite structures
  • Quasicrystals and approximants
  • Metallurgy/Alloys
  • Magnetic structures
  • Stability and phase transitions
  • Surfaces, thin films and 2-D aperiodic structures
  • Disorder and defects
  • Self-assembly
  • Manipulated assembly
  • Mesoscopic systems
  • Aperiodic chemical and biological crystals

  • Mathematics of aperiodic structures
  • Symmetry of aperiodic structures
  • Tiling descriptions
  • Higher-dimensional descriptions of aperiodic systems
  • Topological aspects of aperiodicity

  • Electronic properties
  • Magnetic properties
  • Mechanical properties
  • Dynamics - phonons and phasons
  • Thermal properties
  • Novel phenomena (e.g. aperiodicity and strongly correlated electron systems, superconductivity)

  • New methods of investigation
  • Progress in instrumentation
  • Scattering methods and diffraction theory
  • Diffuse scattering
  • Data processing methods
  • Solution, refinement and interpretation of structure
  • Aperiodic systems under extreme conditions: temperature, pressure, and magnetic field

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