超空间
下部结构
结晶学
上部结构
晶体结构
离子
空间组
Crystal(编程语言)
衍射
群(周期表)
材料科学
物理
化学
X射线晶体学
光学
程序设计语言
结构工程
量子力学
超对称性
计算机科学
工程类
热力学
数学物理
作者
Atsushi Ooishi,Yuichi Michiue,Shiro Funahashi,Takashi Takeda,Naoto Hirosaki
出处
期刊:Acta Crystallographica Section B: Structural Science, Crystal Engineering and Materials
[Wiley]
日期:2020-01-23
卷期号:76 (1): 76-84
被引量:4
标识
DOI:10.1107/s2052520619016391
摘要
Composite crystals Sr x Li 2+ x Al 2− x O 4 :Eu 2+ were synthesized and their structures were determined using single-crystal X-ray diffraction. The commensurate structure with a modulation wavevector q = 5 c* /6 was analyzed in a conventional manner in 3D space, while a structure model in (3+1)-dimensional superspace was used for the other two crystals with modulation wavevectors slightly differing from 5 c* /6. The superstructure of the commensurate phase was described using the space group P 4/ n and a common superspace group I 4/ m (00γ)00 was used for the (3+1)D structures of all three crystals. The whole structure of each crystal consists of two substructures. Basis vectors a and b are common, but c is different for the two substructures. The first substructure is a host framework constructed by (Li/Al)O 4 tetrahedra sharing edges. A linear connection of cavities is seen to be channel-like, in which Sr ions locate as guest cations forming the second substructure. The crystal of q = 5 c* /6 contains five Sr ions per six cavities in a channel. Sr ions are distributed at seven sites, some of which are partially occupied. Statistical disorder of local structure models for the location of Sr ions in the channel was assumed to explain the results. Such a partially disordered character was also seen in the incommensurate phases and properly embodied by a (3+1)D model containing an atomic domain of the Sr ion with occupational modulation. Plots of the occupation factor, interatomic distances and the bond valence sum at each metal site as functions of t (= x 4 − q · r ) are roughly identical in the three crystals, which are considered as members of the same series of composite crystals.
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