十二次对称准周期结构的自相似变换及准晶胞构造  

Self-similar transformation and quasi-unit cell construction of quasi-periodic structure with twelve-fold rotational symmetry

作　　者：廖龙光[1] 付虹[1] 傅秀军[1] 

机构地区：[1]华南理工大学理学院物理系,广州510640

出　　处：《物理学报》2009年第10期7088-7093,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10474021)资助的课题~~

摘　　要：研究十二次对称准晶体模型的几何结构性质.修正了Socolar在正方形-菱形-六边形拼图模型中自相似变换的错误.在Stampfli-Gahler正方形-菱形-三角形拼图模型的基础上,成功地构造出了准晶胞,使得十二次对称准周期结构可以用覆盖理论描述.The structural properties of a quasicrystal model with twelve-fold rotational symmetry are studied.We correct the errors in the self-similar transformation of the square-rhombus-hexagon tiling model proposed by Socolar.Based on the Stampfli-Ghler square-rhombus-triangle tiling model,the quasi-unit cell is successfully constructed,which can describe the dodecagonal quasiperiodic structure by the covering theory.

关 键 词：准晶体 拼图模型 自相似变换 覆盖理论 

分 类 号：O753.3[理学—晶体学]