| 十二次对称准周期结构的自相似变换及准晶胞构造 |
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| 引用本文： | 廖龙光,付虹,傅秀军.十二次对称准周期结构的自相似变换及准晶胞构造[J].物理学报,2009,58(10):7088-7093. |
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| 作者姓名： | 廖龙光 付虹 傅秀军 |
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| 作者单位： | 华南理工大学理学院物理系，广州 510640 |
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| 基金项目： | 国家自然科学基金（批准号： 10474021）资助的课题. |
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| 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-Ghler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.
关键词：
准晶体
拼图模型
自相似变换
覆盖理论
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| 关 键 词： | 准晶体 拼图模型 自相似变换 覆盖理论 |
| 收稿时间： | 2008-10-23 |
| 修稿时间： | 2/4/2009 12:00:00 AM |
Self-similar transformation and quasi-unit cell construction of quasi-periodic structure with twelve-fold rotational symmetry |
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| Liao Long-Guang,Fu Hong,Fu Xiu-Jun.Self-similar transformation and quasi-unit cell construction of quasi-periodic structure with twelve-fold rotational symmetry[J].Acta Physica Sinica,2009,58(10):7088-7093. |
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| Authors: | Liao Long-Guang Fu Hong Fu Xiu-Jun |
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| Abstract: | 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. |
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| Keywords: | quasicrystals tiling model self-similar transformation covering theory |
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