The estimation of phason flips in 1D quasicrystal from the diffraction pattern

Buganski Ireneusz; Strzalka Radoslaw; Wolny Janusz

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The estimation of phason flips in 1D quasicrystal from the diffraction pattern

机译：从衍射图估计一维准晶体的相移

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The statistical approach based on the average unit-cell concept and the envelop functions for the diffraction pattern were used to estimate the number of phason flips in the model 1D quasicrystal (Fibonacci chain). The characteristic function of a statistical distribution expanded to a power series with distribution moments as coefficients can be used to retrieve phases of diffraction peaks. In addition, the number of flips in the structure can be designated in two ways: with the value of the second moment's value and directly from the shape of a probability density function retrieved from the diffraction pattern. In this paper, all calculations are performed for a nondecorated Fibonacci chain. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

机译：统计方法基于平均晶胞概念和包络函数的衍射图样，用于估算1D模型准晶体（斐波纳契链）中的相移。统计分布的特征函数可以扩展为具有分布矩作为系数的幂级数，可以用来获取衍射峰的相位。另外，可以用两种方式指定结构中的翻转次数：使用第二矩值的值，并直接使用从衍射图样检索出的概率密度函数的形状。在本文中，所有计算都是针对未装饰的斐波那契链进行的。（C）2015 WILEY-VCH Verlag GmbH＆Co.KGaA，Weinheim

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《Physica status solidi, B. Basic research》 |2016年第3期|共8页
作者
Buganski Ireneusz; Strzalka Radoslaw; Wolny Janusz;
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正文语种 eng
中图分类固体物理学;
关键词
average unit cell; envelope function; Fibonacci chains; phasons; quasicrystals; X-ray diffraction;

机译：平均晶胞;包络函数;斐波那契链;相位;准晶体;X射线衍射;

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1. The estimation of phason flips in 1D quasicrystal from the diffraction pattern [J] . Buganski Ireneusz, Strzalka Radoslaw, Wolny Janusz Physica status solidi, B. Basic research . 2016,第3期

机译：从衍射图估计一维准晶体的相移
2. Non-centro-symmetric electron diffraction pattern of icosahedral quasicrystal induced by combination of linear phason strain and curvature of Ewald sphere [J] . Dongxia Xiong, Lu Lu, Jianbo Wang, Micron: The international research and review journal for microscopy . 2013,第Null期

机译：线性声子应变和埃瓦尔德球面曲率相结合引起的二十面体准晶体的非中心对称电子衍射图
3. PERIODIC DIFFRACTION PATTERNS FOR 1D QUASICRYSTALS [J] . PAWEL BUCZEK, LORENZO SADUN, JANUSZ WOLNY Acta Physica Polonica. B, Particle Physics and Field Theory, Nuclear Physics, Theory of Relativity . 2005,第3期

机译：一维准晶体的周期衍射图案
4. Influence of Chemical Disorder, Magnetic Field and Phason Flips on the Localization of Electronic States in a Regular Icosahedral Quasicrystal [C] . S.F. Arslanov, E.I. Isaev, Yu.Kh. Vekilov MRS Meeting . 2001

机译：化学障碍，磁场和相位的影响在常规ICOSAHEDRAL拟拟合中的电子国家定位
5. Topics in solid state physics: Quasicrystal structures with continuous phasons and an oxygen hole in a copper oxide plane. [D] . Frenkel, David. 1989

机译：固态物理学主题：具有连续相控和在氧化铜平面上有一个氧孔的准晶体结构。
6. Unified structure theory of icosahedral quasicrystals: Evidence from neutron powder diffraction patterns that AlCrFeMnSi AlCuLiMg and TiNiFeSi icosahedral quasicrystals are twins of cubic crystals containing about 820 or 1012 atoms in a primitive unit cube [O] . Linus Pauling 1988

机译：二十面体准晶体的统一结构理论：来自中子粉末衍射图的证据表明AlCrFeMnSiAlCuLiMg和TiNiFeSi二十面体准晶体是立方晶体的孪晶在原始单位立方体中包含约820或1012个原子
7. Periodic diffraction patterns for 1D quasicrystals [O] . Buczek, Pawel, Sadun, Lorenzo, Wolny, Janusz 2005

机译：1D准晶的周期性衍射图

The estimation of phason flips in 1D quasicrystal from the diffraction pattern

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