Crystallographic Method for Exact Describing Quasicrystal Structures
摘要
In this paper the problem of the theory of a quasicrystal structures - the determination of coordinates of each atom of quasicrystal in analytical form - is solved. Within the framework of the proposed model a periodic crystal can be presented as a particular case of a quasicrystal. The simple and explicit analytical formulas which describe the location of each atom in a quasicrystal are given. The exact solutions for Penrose and Ammann-Beenker quasicrystal structures are given. On the basis of the analytical formulas the routines are created. The routines are inserted directly into graphical files generating the quasiperiodic structures.
引用
@article{arxiv.cond-mat/0107191,
title = {Crystallographic Method for Exact Describing Quasicrystal Structures},
author = {Vadim Gouliaev},
journal= {arXiv preprint arXiv:cond-mat/0107191},
year = {2016}
}
备注
8 pages, 5 figures-eps, LaTeX2e, AmS-LaTeX, see also http://www.kirensky.ru/download/tilings.zip, submitted to Acta Crystallographica A. Note: replaced with revised version Wed, 11 Jul 2001 02:08:48 GMT