Interface of quasicrystal and crystal

doi:10.1088/1674-1056/20/7/076102

中国物理B ›› 2011, Vol. 20 ›› Issue (7): 76102-076102.doi: 10.1088/1674-1056/20/7/076102

Interface of quasicrystal and crystal

王清昭¹, 范蕾², 范天佑³, 解凌云³

(1)Department of Mathematics and Statistics, University of Minnesota Duluth, Duluth, MN 55812, USA; (2)School of Life Science, Beijing Institute of Technology, Beijing 100081, China; (3)School of Science, Beijing Institute of Technology, Beijing 100081, China

收稿日期:2010-10-20 修回日期:2011-03-14 出版日期:2011-07-15 发布日期:2011-07-15

Interface of quasicrystal and crystal

Fan Tian-You(范天佑)^a), Xie Ling-Yun(解凌云)^a)†, Fan Lei(范蕾)^b), and Wang Qing-Zhao(王清昭)^c)

^a School of Science, Beijing Institute of Technology, Beijing 100081, China; ^b School of Life Science, Beijing Institute of Technology, Beijing 100081, China; ^c Department of Mathematics and Statistics, University of Minnesota Duluth, Duluth, MN 55812, USA

Received:2010-10-20 Revised:2011-03-14 Online:2011-07-15 Published:2011-07-15

摘要/Abstract

摘要： A model on the coexisting phase of quasicrystal-crystal is proposed, with which we concretely investigate the interface effects for coexisting phases of one-dimensional orthorhombic quasicrystal-isotropic crystal and three-dimensional icosahedral quasicrystal-cubic crystal. The phason strain fields which play an important role in some processes are determined. Some factors affecting the strain fields, e.g., the material constants of phonon, phason, phonon—phason coupling of the quasicrystal and the elastic modulus and the size of the crystal are also explored.

关键词: icosahedral quasicrystal, interface defect, phase transition, Fourier transform

Abstract: A model on the coexisting phase of quasicrystal-crystal is proposed, with which we concretely investigate the interface effects for coexisting phases of one-dimensional orthorhombic quasicrystal-isotropic crystal and three-dimensional icosahedral quasicrystal-cubic crystal. The phason strain fields which play an important role in some processes are determined. Some factors affecting the strain fields, e.g., the material constants of phonon, phason, phonon—phason coupling of the quasicrystal and the elastic modulus and the size of the crystal are also explored.

Key words: icosahedral quasicrystal, interface defect, phase transition, Fourier transform

中图分类号: (Quasicrystals)

61.44.Br

68.35.-p (Solid surfaces and solid-solid interfaces: structure and energetics) 02.30.Nw (Fourier analysis)

范天佑, 解凌云, 范蕾, 王清昭. Interface of quasicrystal and crystal[J]. 中国物理B, 2011, 20(7): 76102-076102.

Fan Tian-You(范天佑), Xie Ling-Yun(解凌云), Fan Lei(范蕾), and Wang Qing-Zhao(王清昭). Interface of quasicrystal and crystal[J]. Chin. Phys. B, 2011, 20(7): 76102-076102.

参考文献 30

[1]	Edagawa K 2000 Materials Sci. Eng. A 294 646
[2]	Fan T Y and Mai Y W 2004 Appl. Mech. Rev. 57 325
[3]	Audier M and Guyot P 1986 Phil. Mag. B 53 L43
[4]	Jaric M V and Gratias D 1989 Extended Icosahedral Structures (Boston: Academic)
[5]	Jaric M V and Lundquist S 1990 Proceedings of Adriatico Research Conference on Quasicrystals (Singapore: World Scientific)
[6]	Sainfort D S and Dubost B 1986 J. Phys. (in Franch) 47 C3—21
[7]	Elser V and Henley C L 1985 Phys. Rev. Lett. 55 2883
[8]	Henley C L and Elser V 1986 Phil. Mag. B 531 L59
[9]	Wang J B, Gastaldi J and Wang R H 2001 Chin. Phys. Lett. 18 88
[10]	Wang J B, Mancini L, Wang R H and Gastaldi J 2003 J. Phys: Condens. Matter 15 L363
[11]	Wang J B, Yang W G and Wang R H 2003 J. Phys: Condens. Matter 15 1599
[12]	Ma J Y, Wang J B and Wang R H 2008 J. Phys. D: Appl. Phys. 41 085413
[13]	Lubensky T C, Ramaswamy S and Toner J 1985 Phys. Rev. B 32 7444
[14]	Lubensky T C and Socolar J E S 1986 Phys. Rev. Lett. 32 1440
[15]	Horn P M, Malzfeldt W, di Vincenzo D P, Toner J and Gambino R 1986 Phys. Rev. Lett. 57 1444
[16]	Li F H 1993 Crystal-Quasicrystal Transitions (Amsterdam: Elsevier) pp. 13—47
[17]	Li F H, Teng C M, Huang Z R, et al. 1988 Phil. Mag. Lett. 57 113
[18]	Liu G T, Guo R P and Fan T Y 2003 Chin. Phys. 12 1149
[19]	Li X F and Fan T Y 2002 Chin. Phys. 11 0266
[20]	Fan T Y, Li X F and Sun Y F 1999 Acta Phys. Sin. (Overseas Edition) 8 0288
[21]	Zhu A Y and Fan T Y 2007 Chin. Phys. 16 1111
[22]	Fan T Y, Wang X F and Zhu A Y 2009 Chin. Phys. B 18 709
[23]	Gong P, Hu C Z, Zhou X, Wang A J and Miao L 2006 Chin. Phys. 15 2065
[24]	Ding D H, Qin Y L, Wang R H, Hu C Z and Yang W G 1995 Chin. Phys. 4 816
[25]	Guo R P, He Q L and Liu G T 2009 Acta Phys. Sin. 58 118 (in Chinese)
[26]	Landau L D and Lifshtz I E 1968 Statistical Physics (New York: Pergamon)
[27]	Bak P 1985 Phys. Rev. B 32 5764
[28]	Liu G T, Fan T Y and Guo R P 2004 Int. J. Solid and Structure 41 3949
[29]	Edagawa K and Takeuchi S 2007 Dislocation in Solids Chapter 76 (Amsterdam: Elsevier) pp. 365—417
[30]	Edagawa K 2007 Phil. Mag. 87 2789

Interface of quasicrystal and crystal

Interface of quasicrystal and crystal

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 30

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Chenjun Zhang(张晨骏), Xiaoke He(何小可), Zhiyu Min(闵志宇), and Baozhong Li(李保忠). Tailoring of thermal expansion and phase transition temperature of ZrW₂O₈ with phosphorus and enhancement of negative thermal expansion of ZrW_1.5P_0.5O_7.75[J]. 中国物理B, 2023, 32(4): 48201-048201.
[2]	Fuzhong Nian(年福忠) and Xia Zhang(张霞). Topological phase transition in network spreading[J]. 中国物理B, 2023, 32(3): 38901-038901.
[3]	Xu-De Wang(汪徐德), Xu Geng(耿旭), Jie-Yu Pan(潘婕妤), Meng-Qiu Sun(孙梦秋), Meng-Xiang Lu(陆梦想), Kai-Xin Li(李凯芯), and Su-Wen Li(李素文). Real-time observation of soliton pulsation in net normal-dispersion dissipative soliton fiber laser[J]. 中国物理B, 2023, 32(2): 24210-024210.
[4]	Di Zhang(张迪), Yunrui Duan(段云瑞), Peiru Zheng(郑培儒), Yingjie Ma(马英杰), Junping Qian(钱俊平), Zhichao Li(李志超), Jian Huang(黄建), Yanyan Jiang(蒋妍彦), and Hui Li(李辉). Liquid-liquid phase transition in confined liquid titanium[J]. 中国物理B, 2023, 32(2): 26801-026801.
[5]	Long Zhou(周龙), Xu-Long Zhang(张旭龙), Yu-Ying Cao(曹玉莹), Fu Zheng(郑富), Hua Gao(高华), Hong-Fei Liu(刘红飞), and Zhi Ma(马治). Prediction of flexoelectricity in BaTiO₃ using molecular dynamics simulations[J]. 中国物理B, 2023, 32(1): 17701-017701.
[6]	Tina Raoufi, Jincheng He(何金城), Binbin Wang(王彬彬), Enke Liu(刘恩克), and Young Sun(孙阳). Magnetocaloric properties and Griffiths phase of ferrimagnetic cobaltite CaBaCo₄O₇[J]. 中国物理B, 2023, 32(1): 17504-017504.
[7]	Wei Hu(胡伟), Wen-Wei Luo(罗文崴), Mu-Sheng Wu(吴木生), Bo Xu(徐波), and Chu-Ying Ouyang(欧阳楚英). Configurational entropy-induced phase transition in spinel LiMn₂O₄[J]. 中国物理B, 2022, 31(9): 98202-098202.
[8]	Xin Guan(关欣), Gang Chen(陈刚), Jing Pan(潘婧), and Zhi-Guo Gui(桂志国). Hard-core Hall tube in superconducting circuits[J]. 中国物理B, 2022, 31(8): 80302-080302.
[9]	Qingrong Shao(邵倾蓉), Jing Meng(孟婧), Xiaoyan Zhu(朱晓艳), Yali Xie(谢亚丽), Wenjuan Cheng(程文娟), Dongmei Jiang(蒋冬梅), Yang Xu(徐杨), Tian Shang(商恬), and Qingfeng Zhan(詹清峰). Exchange-coupling-induced fourfold magnetic anisotropy in CoFeB/FeRh bilayer grown on SrTiO₃(001)[J]. 中国物理B, 2022, 31(8): 87503-087503.
[10]	Yong-Huan Wang(王永欢), Yun Zhang(张云), Yu Liu(刘瑜), Xiao Tan(谈笑), Ce Ma(马策), Yue-Chao Wang(王越超), Qiang Zhang(张强), Deng-Peng Yuan(袁登鹏), Dan Jian(简单), Jian Wu(吴健), Chao Lai(赖超), Xi-Yang Wang(王西洋), Xue-Bing Luo(罗学兵), Qiu-Yun Chen(陈秋云), Wei Feng(冯卫), Qin Liu(刘琴), Qun-Qing Hao(郝群庆), Yi Liu(刘毅), Shi-Yong Tan(谭世勇), Xie-Gang Zhu(朱燮刚), Hai-Feng Song(宋海峰), and Xin-Chun Lai(赖新春). Effect of f-c hybridization on the $\gamma\to \alpha$ phase transition of cerium studied by lanthanum doping[J]. 中国物理B, 2022, 31(8): 87102-087102.
[11]	Jianfei Chen(陈健菲), Chaohua Wu(吴超华), Jingtao Fan(樊景涛), and Gang Chen(陈刚). Characterization of topological phase of superlattices in superconducting circuits[J]. 中国物理B, 2022, 31(8): 88501-088501.
[12]	Hengli Xie(谢恒立), Jiaxiang Wang(王家祥), Lingrui Wang(王玲瑞), Yong Yan(闫勇), Juan Guo(郭娟), Qilong Gao(高其龙), Mingju Chao(晁明举), Erjun Liang(梁二军), and Xiao Ren(任霄). Structural evolution and bandgap modulation of layered β-GeSe₂ single crystal under high pressure[J]. 中国物理B, 2022, 31(7): 76101-076101.
[13]	Wen-Ji Shen(沈文吉), Tian-Xiao Liang(梁天笑), Zhao Liu(刘召), Xin Wang(王鑫), De-Fang Duan(段德芳), Hong-Yu Yu(于洪雨), and Tian Cui(崔田). Structural evolution and molecular dissociation of H₂S under high pressures[J]. 中国物理B, 2022, 31(7): 76102-076102.
[14]	Ying Han(韩颖), Bo Gao(高博), Jiayu Huo(霍佳雨), Chunyang Ma(马春阳), Ge Wu(吴戈),Yingying Li(李莹莹), Bingkun Chen(陈炳焜), Yubin Guo(郭玉彬), and Lie Liu(刘列). Spatio-spectral dynamics of soliton pulsation with breathing behavior in the anomalous dispersion fiber laser[J]. 中国物理B, 2022, 31(7): 74208-074208.
[15]	Zhi-Xu Zhang(张志旭), Lu Qi(祁鲁), Wen-Xue Cui(崔文学), Shou Zhang(张寿), and Hong-Fu Wang(王洪福). Topological phase transition in cavity optomechanical system with periodical modulation[J]. 中国物理B, 2022, 31(7): 70301-070301.