An attempt to describe one-dimensional incommensurate composite structure as phason-defected one-dimensional quasiperiodic structure

Abstract

An incommensurate phase with one-dimensional (1D) incommensurate composite structure newly discovered in an Al–Cu–Fe alloy coexists with the structurally related commensurate phase. Both of them can be described as a phason-defected 1D fictitious quasicrystal. The one-dimensional quasicrystal is obtained by cutting a six-dimensional (six-dimensional) crystal with physical space. With the increase of a particular linear phason strain, the section of the six-dimensional crystal transfers firstly to the incommensurate phase and then to the commensurate phase.