Group Theory Considerations in Quasicrystal to Crystal Transformations
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.
Yves Bréchet, Emmanuel Clouet, Alexis Deschamps, Alphonse Finel and Frédéric Soisson
D. Gratias and M. Quiquandon, "Group Theory Considerations in Quasicrystal to Crystal Transformations", Solid State Phenomena, Vols. 172-174, pp. 931-940, 2011