PHASES OP INTENSE PEAKS IN IPIC QUASICRYSTALS MODELS. FORMAL PATTERSON ANALYSIS

摘要

We show that, within the context of Interpenetrating Pseudo-Icosahedral Clusters (IPIC) models for i-quasicrystals, formal expressions of phases of intense peaks can be provided as quotients of formal series of several variables. We comment the roles played'by the deformations of pseudo-icosahedral clusters, their chemical disorders on shells, the site multiplicities - diffractive graduated skeleton of sites - and their mutual interactions through characteristic quadratic, cubic, ... forma invariant under the action of the icosahedral group. The Patterson function is carried out formally with the IPIC intensity expressions as series and is associated to a geometrical iteration process associated to the atomic surfaces in the internal space.