Marius Wolpmann, M. Etter, A. Kirsch, F. Balzaretti, W. Dononelli, L. Robben, T. Gesing
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Small-box refinements against radial pair distribution functions (PDF) allowed the determination of anisotropic displacement ellipsoids (ADP) for Na+ and O2−, indicating a strong dependency of the ADP of Na+ on the chemical composition. Significantly lower thermal displacements from MD calculations suggested an influence of structural displacements. For compounds with an aspherical ADP for sodium, structural models could be refined in which the sodium is located on two 8e or one 24i site (both partially occupied), and also temperature-dependent (100 K–300 K) for the compounds with Ga–Ge framework. 3D-plots of the bond-valence sums of Na+ further validate the structural differences. 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The structures were examined using in-house and synchrotron X-ray diffraction, Raman spectroscopy, force-field structure optimizations and DFT based ab-initio molecular dynamics (MD) computations. Calculated phonon density of states (PDOS) of the 12 compounds show only minor differences within a framework composition with a lowering of certain phonon energies with increasing anion size. Earlier published Debye and Einstein temperatures obtained with a Debye-Einstein-anharmonicity (DEA) model approach are confirmed using the determined low-temperature lattice parameters (18 K–293 K) and show no correlation with the respective PDOS. Small-box refinements against radial pair distribution functions (PDF) allowed the determination of anisotropic displacement ellipsoids (ADP) for Na+ and O2−, indicating a strong dependency of the ADP of Na+ on the chemical composition. Significantly lower thermal displacements from MD calculations suggested an influence of structural displacements. For compounds with an aspherical ADP for sodium, structural models could be refined in which the sodium is located on two 8e or one 24i site (both partially occupied), and also temperature-dependent (100 K–300 K) for the compounds with Ga–Ge framework. 3D-plots of the bond-valence sums of Na+ further validate the structural differences. 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引用次数: 0
摘要
摘要以Al-Si, Ga-Si, Al-Ge和Ga-Ge为T1-T2骨架,合成了X = Cl−,Br−,I−的一般型|Na8X2|[T1T2O4]6钠盐。利用内部和同步加速器x射线衍射、拉曼光谱、力场结构优化和基于DFT的从头算分子动力学(MD)计算对这些结构进行了检测。12种化合物的声子态密度(PDOS)在一个框架组成中只有很小的差异,随着阴离子大小的增加,某些声子能量降低。先前发表的Debye-Einstein-anharmonicity (DEA)模型方法得到的Debye和Einstein温度,使用确定的低温晶格参数(18 K - 293 K)进行了验证,并且显示与各自的PDOS没有相关性。基于径向对分布函数(PDF)的小盒改进可以确定Na+和O2−的各向异性位移椭球体(ADP),表明Na+的ADP与化学成分有很强的依赖性。明显较低的热位移从MD计算表明结构位移的影响。对于具有非球面ADP的钠化合物,可以改进结构模型,其中钠位于两个8e或一个24i位点(均部分占据),并且具有Ga-Ge框架的化合物也依赖于温度(100 K - 300 K)。Na+的键价和的3d图进一步验证了结构差异。这些结果表明,在许多情况下,卤化物钠石的局部结构不能用已知的平均结构来最好地描述,甚至可能不是立方结构。
Halide-sodalites: thermal behavior at low temperatures and local deviations from the average structure
Abstract Sodalites of the general type |Na8X2|[T1T2O4]6 with X = Cl−, Br−, I− have been synthesized for Al–Si, Ga–Si, Al–Ge and Ga–Ge as T1–T2 frameworks. The structures were examined using in-house and synchrotron X-ray diffraction, Raman spectroscopy, force-field structure optimizations and DFT based ab-initio molecular dynamics (MD) computations. Calculated phonon density of states (PDOS) of the 12 compounds show only minor differences within a framework composition with a lowering of certain phonon energies with increasing anion size. Earlier published Debye and Einstein temperatures obtained with a Debye-Einstein-anharmonicity (DEA) model approach are confirmed using the determined low-temperature lattice parameters (18 K–293 K) and show no correlation with the respective PDOS. Small-box refinements against radial pair distribution functions (PDF) allowed the determination of anisotropic displacement ellipsoids (ADP) for Na+ and O2−, indicating a strong dependency of the ADP of Na+ on the chemical composition. Significantly lower thermal displacements from MD calculations suggested an influence of structural displacements. For compounds with an aspherical ADP for sodium, structural models could be refined in which the sodium is located on two 8e or one 24i site (both partially occupied), and also temperature-dependent (100 K–300 K) for the compounds with Ga–Ge framework. 3D-plots of the bond-valence sums of Na+ further validate the structural differences. These results imply that the local structure of halide-sodalites in many cases is not best described by the known average structure and may even not be cubic.
期刊介绍:
Zeitschrift für Kristallographie – Crystalline Materials was founded in 1877 by Paul von Groth and is today one of the world’s oldest scientific journals. It offers a place for researchers to present results of their theoretical experimental crystallographic studies. The journal presents significant results on structures and on properties of organic/inorganic substances with crystalline character, periodically ordered, modulated or quasicrystalline on static and dynamic phenomena applying the various methods of diffraction, spectroscopy and microscopy.