Structural transformations in quasicrystals induced by higher dimensional lattice transitions

TY - JOUR

T1 - Structural transformations in quasicrystals induced by higher dimensional lattice transitions

AU - Indelicato, Giuliana

AU - Cermelli, Paolo

AU - Salthouse, David G.

AU - Twarock, Reidun

AU - Zanzotto, Giovanni

AU - Keef, Thomas

PY - 2012/5/8

Y1 - 2012/5/8

N2 - We study the structural transformations induced, via the cut-and-project method, in quasicrystals and tilings by lattice transitions in higher dimensions, with a focus on transition paths preserving at least some symmetry in intermediate lattices. We discuss the effect of such transformations on planar aperiodic Penrose tilings, and on three-dimensional aperiodic Ammann tilings with icosahedral symmetry. We find that locally the transformations in the aperiodic structures occur through the mechanisms of tile splitting, tile flipping and tile merger, and we investigate the origin of these local transformation mechanisms within the projection framework.

AB - We study the structural transformations induced, via the cut-and-project method, in quasicrystals and tilings by lattice transitions in higher dimensions, with a focus on transition paths preserving at least some symmetry in intermediate lattices. We discuss the effect of such transformations on planar aperiodic Penrose tilings, and on three-dimensional aperiodic Ammann tilings with icosahedral symmetry. We find that locally the transformations in the aperiodic structures occur through the mechanisms of tile splitting, tile flipping and tile merger, and we investigate the origin of these local transformation mechanisms within the projection framework.

UR - http://www.scopus.com/inward/record.url?scp=84861910767&partnerID=8YFLogxK

U2 - 10.1098/rspa.2011.0680

DO - 10.1098/rspa.2011.0680

M3 - Article

SN - 1364-5021

VL - 468

SP - 1452

EP - 1471

JO - Proceedings of the Royal Society A

JF - Proceedings of the Royal Society A

IS - 2141

ER -