Elcoro Luis, Zúñiga F Javier, Perez-Mato J Manuel
Departmento de Física de la Materia Condensada, Facultad de Ciencias, Universidad del País Vasco, Apdo 644, Bilbao 48080, Spain.
Acta Crystallogr B. 2004 Feb;60(Pt 1):21-31. doi: 10.1107/S010876810302901X. Epub 2004 Jan 21.
The recently determined structure of NaCa(4)Nb(5)O(17) is reanalyzed within the superspace framework. The material follows the general features of the superspace model proposed for the perovskite-related compounds of the general formula A(n)B(n)O(3n+2) [Elcoro et al. (2001). Acta Cryst. B57, 471-484]. It can be described as a commensurate modulated structure with discontinuous atomic domains given by occupational crenel functions. These atomic domains automatically introduce the layered configuration of the actual structure in real space. However, the displacive modulations follow a quite different pattern from that observed in the Sr(n)(Nb,Ti)(n)O(3n+2) series, discussed in the above-mentioned reference. The superspace group relevant in this new case has been identified through a systematic search of all the possible groups and a comparison of the resulting superspace embeddings of the experimental three-dimensional structure. Being a commensurate structure, the fundamental ambiguity of the superspace description was broken by choosing the highest possible symmetry that yields smooth displacive atomic modulations and hence minimizes the number of parameters. The efficiency of the proposed superspace model is demonstrated with a new refinement of the structure. Assuming the model's general relevance, symmetry properties for the whole Ca,NaNb(n)O(3n+2) series are predicted.
在超空间框架内对最近确定的NaCa(4)Nb(5)O(17)结构进行了重新分析。该材料遵循为通式A(n)B(n)O(3n + 2)的钙钛矿相关化合物提出的超空间模型的一般特征[埃尔科罗等人(2001年)。《晶体学报》B57,471 - 484]。它可以被描述为一种具有由占据锯齿函数给出的不连续原子域的共格调制结构。这些原子域在实空间中自动引入了实际结构的层状构型。然而,位移调制遵循的模式与上述参考文献中讨论的Sr(n)(Nb,Ti)(n)O(3n + 2)系列中观察到的模式有很大不同。通过对所有可能的群进行系统搜索,并比较实验三维结构的超空间嵌入结果,确定了这种新情况下相关的超空间群。作为一种共格结构,通过选择能产生平滑位移原子调制并因此使参数数量最小化的尽可能高的对称性,打破了超空间描述的基本模糊性。通过对结构进行新的精修证明了所提出的超空间模型的有效性。假设该模型具有普遍相关性,预测了整个Ca,NaNb(n)O(3n + 2)系列的对称性质。