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首页> 外文期刊>Acta Crystallographica, Section B. Structural Science >Structure of incommensurate ammonium tetrafluoroberyllate studied by structure refinements and the maximum entropy method
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Structure of incommensurate ammonium tetrafluoroberyllate studied by structure refinements and the maximum entropy method

机译:通过结构改进和最大熵方法研究不等价四氟铍酸铵的结构

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Incommensurately modulated ammonium tetrafluoroberyllate (AFB) occurs in a narrow temperature interval between the paraelectric room-temperature phase with space group Pnma (T-i = 178 K) and the ferroelectric low-temperature phase with space group Pna2(1) (T-c = 173 K). The structure is determined from accurate single-crystal X-ray diffraction data collected with synchrotron radiation at 175 K. The superspace group of the structure is Pnma(alpha00) 0ss with alpha = 0.4796 (4). Both structure refinements and the maximum entropy method lead to the same structure model, which involves only single harmonic modulations. The building units of the structure are BeF42- and NH4+ complex ions with approximately tetrahedral point symmetry. They are relatively rigid and the modulations consist mainly of translations of the tetrahedra and their rotations around a fixed axis. The modulation is related to changes in the network of the hydrogen bonds. The low-temperature superstructure can be described as a commensurately modulated structure with the same superspace symmetry. The first harmonic modulations of the low-temperature and incommensurate phases are related by a scale factor with a value of approximately two. In addition, the low-temperature phase exhibits a second harmonic modulation that is responsible for shifts along c and the ferroelectricity in this phase. The experimental data of the incommensurate phase do not contain any evidence for the presence of a second harmonic in the modulation functions. This suggests that the development of the second harmonic, i.e. the development of the spontaneous polarization, is responsible for the lock-in transition. [References: 25]
机译:在空间群Pnma(Ti = 178 K)的顺电室温相与空间群Pna2(1)(Tc = 173 K)的铁电低温相之间的狭窄温度区间内,出现了不等调制的四氟铍酸铵(AFB)。 。该结构由在175 K的同步加速器辐射下收集的准确的单晶X射线衍射数据确定。该结构的超空间组为Pnma(alpha00)0ss,alpha = 0.4796(4)。结构的改进和最大熵方法都导致了相同的结构模型,该模型仅涉及单谐波调制。该结构的构建单元是具有近似四面体点对称性的BeF42-和NH4 +复合离子。它们是相对刚性的,并且调制主要包括四面体的平移及其绕固定轴的旋转。调节与氢键网络中的变化有关。低温上部结构可以描述为具有相同超空间对称性的相应调制的结构。低温相和不相称相的一次谐波调制的比例因子约为2。另外,低温相表现出二次谐波调制,该二次谐波引起沿c的偏移以及该相中的铁电。不相称相位的实验数据没有任何证据表明调制函数中存在二次谐波。这表明二次谐波的发展,即自发极化的发展,是锁定过渡的原因。 [参考:25]

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