A Simulational Approach to Form a Quasi Crystal

S. Miyazima¹, Y. Fujimoto¹, T. Tanaka¹ and T. Ogawa²

¹Department of Engineering Physics, Chubu University, Kasugai, Aichi 487, Japan
²Department of Physics, Tukuba University, Tukuba, Ibaragi, Japan

(Received May 24, 1990; Accepted August 7, 1990)

Keywords: Quasi Crystal, Computer Simulation, Penrose Pattern, Distance Relation

Abstract. A computer simulation is performed to form a two-dimensional quasi crystal from a group of particles by quenching and annealing in various ways of treatments. Two different methods which include many variations are applied and the Fourier patterns of obtained quasi crystals are compared with the Fourier pattern of the Penrose lattice which is a prototype of the quasi crystal. We have reached the conclusion that a directional order is of the utmost importance for a decagonal structure. However it is impossible to obtain the quasi crystal only from a directional correlation and it is necessary to require distance relationships at least up to the sixth nearest neighboring atoms.