Group Theory Considerations in Quasicrystal to Crystal Transformations

Denis Gratias; Marianne Quiquandon

doi:10.4028/www.scientific.net/SSP.172-174.931

Paper Titles

The Structure and the Evolution of Titanate Nanobelts, Used as Seeds for the Nucleation of Hydroxyapatite at the Surface of Titanium Implants
p.905

Restitution of the Shapes and Orientations of the Prior Austenitic Grains from Inherited Alpha' Orientation Maps in Steels
p.911

Phase Transformations on Friction Welding of Dissimilar Thermochemically Treated Steels
p.916

Direct Spheroidization of High Carbon Steels: Effect of Thermomechanical Processing
p.922

Group Theory Considerations in Quasicrystal to Crystal Transformations
p.931

Quasicrystalline Phase Transformation in the Quaternary and Ternary Systems AlCuMnFe and AlPdMn
p.941

Hydrogen-Storage Properties of Nanocrystalline Mg-Based Materials Created through Controlled Devitrification of a Metallic Glass
p.947

Phase Transformations in Amorphous Bilayer Ribbons
p.953

Nucleation and Growth of Triangular Prismatic Iron Carbides in Amorphous Films by In Situ Transmission Electron Microscopy
p.959

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Group Theory Considerations in Quasicrystal to Crystal Transformations

Abstract:

We first discuss several aspects of group theory for reformulating the group-subgroup re-lations in quasicrystals to crystals transformations based on the original approach proposed by D.Mermin and his group on indiscernability groups. In the second part of the paper, we discuss ways ofdetermining the possible space-groups of approximants of quasicrystals as generated by the perpen-dicular shear technique.