closest packing
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Author(s):  
R. M. Zakalyukin ◽  
E. A. Levkevich ◽  
A. V. Nikolaeva

Objectives. Pentafluorodistannates of alkali metals are promising materials for use as electrolytes in fluoride-ion batteries due to their electrophysical properties, such as high fluoride-ion conductivity. This work aims to synthesize crystals of alkali metals MeSn2F5 (Me = Na, K, Rb, Cs), carry out X-ray diffraction studies on them, and investigate the possibility of obtaining lithium fluorostannates.Methods. Supersaturated aqueous solutions were employed to synthesize the crystals. The X-ray diffraction (XRD) analysis was carried out.Results. Oversaturated solutions yield microcrystalline powders of sodium, potassium, rubidium, and cesium pentafluorodistannates. The presence of a single-phase was confirmed by XRD analysis of the powders corresponding to the MеSn2F5 (Mе = Na, K, Rb, Cs) composition. XRD data analysis and literature indicated that MеSn2F5 (Mе = K, Rb, Cs) have a fluorite-like structure, with the cations forming three-layer closest packing. The RbSn2F5 compound was discovered to be isostructural to KSn2F5. Based on this discovery, RbSn2F5 was reindexed to a hexagonal unit cell with parameters a = 7.40(3) Å, с = 10.12(6) Å (KSn2F5 P3, a = 7.29(3) Å, с = 9.86(2) Å). The CsSn2F5 compound was reindexed to a monoclinic unit cell (a = 10.03(4) Å, b = 5.92(7) Å, c = 11.96(9) Å, β = 107.4(5)°). A crystallochemical analysis of the pentafluorodistannates was carried out, and common structural motifs were discovered. The motifs are similar to lead tetrafluorostannate PbSnF4, the best fluoride-ion conductor. The effect of the pentafluorodistannates structures on the ionic conductivity is considered. The LiF–SnF2 system contains no compounds; the compositions were obtained by melting the original fluorides. Conclusions. MеSn2F5 (Mе = Na, K, Rb, Cs) were synthesized and investigated by XRD analysis. The structural characteristics of the RbSn2F5 and CsSn2F5 compounds have been redefined. The crystallochemical structure is analyzed in relation to the electrophysical properties of the alkali metal pentafluorodistannates. Pentafluorodistannates MеSn2F5 (Mе = K, Rb, Cs) have a fluorite-like structural motif with cubic parameters а = 5.694 Å (KSn2F5), а = 5.846 Å (RbSn2F5), а = 6.100 Å (CsSn2F5), with the cations forming three-layer closest packing. The cationic layers alternate like Me–Sn–Sn–Me (Mе = K, Rb, Cs). For KSn2F5 and RbSn2F5, they are normal to the three-fold axis and normal to the four-fold axis in the case of CsSn2F5.


2020 ◽  
Vol 32 (40) ◽  
pp. 2002857
Author(s):  
Xinyue Tan ◽  
Shize Geng ◽  
Yujin Ji ◽  
Qi Shao ◽  
Ting Zhu ◽  
...  

2020 ◽  
Vol 75 (6-7) ◽  
pp. 625-631
Author(s):  
Eva M. Heppke ◽  
Shamini Mahadevan ◽  
Martin Lerch

AbstractThe substitution of Cu/Ag by lithium in complex thiospinels with the general formula AI2BIICIV3XVI8 was achieved by ball milling and a subsequent annealing step in an atmosphere of H2S. Four hitherto unknown compounds Li2MSn3S8 with M = Mg, Mn, Fe, Ni were obtained without side phases and have been structurally investigated. From X-ray powder diffraction experiments, space group Fd$\overline{3}$m and a spinel-type structure are suggested. In these so-called normal spinels, lithium occupies one eighth of the tetrahedral voids (Wyckoff position 8a) of the cubic closest packing of the sulfide ions whereas M and Sn can be found on one half of the octahedral voids (Wyckoff position 16d).


2020 ◽  
Vol 98 (7) ◽  
pp. 327-331
Author(s):  
Ren A. Wiscons ◽  
Adam J. Matzger

Materials that lack inversion symmetry (noncentrosymmetric) demonstrate a diversity of desirable optical and electronic properties in bulk such as second harmonic generation, chiral emission, and piezo-, pyro-, and ferro-electricity. Unfortunately, it is challenging to reliably access noncentrosymmetric packing motifs because the closest packing of molecules is often achieved through inversion symmetry operators, leading to the relatively low occurrence of noncentrosymmetry in organic crystals. In this study, the occurrence of noncentrosymmetry in materials that adopt planar packing motifs is investigated because molecular species achieve closest packing in two dimensions through rotations and (or) glides, symmetry operators that do not individually lead to centrosymmetry. It is found that of the 18 crystal structures investigated here adopting planar packing motifs, 13 structures (72%) are noncentrosymmetric showing in-plane polarization. The 13 noncentrosymmetric crystal structures differ from the centrosymmetric structures by directional halogen bonding interactions or steric collisions that align the polarization directions of neighboring layers, leading to bulk structural polarity. The results from this investigation will be of use for designing noncentrosymmetric materials for application in optical and electronic devices.


2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Gaolong Zhang ◽  
Zhaoyu Yan ◽  
Fuqiang He ◽  
Ruipan Wang ◽  
Changping Chen

The mixture design method (MDM) has been used to design the concrete workability with the three-graded stone. The results indicated that the proportion of the stone corresponding to the minimum paste demand (Pmin) can meet that corresponding to the approximate closest packing density (ACPDmax). When the workability reaches its maximum value, the paste thickness (Tpaste) and mortar thickness (Tmortar) do not reach their respective extreme values. Therefore, the combined effect of the Tpaste and Tmortar needs to be considered when evaluating concrete workability. Compared with concrete designed by the maximum packing density, the concrete designed by the Pmin + ACPDmax has a lower cost; however, stone surface area (Sstone) and the average particle size of the stone (DA-stone) are increased by 8.6% and reduced by 5.7%, respectively. Therefore, the contradictory weakening effect of an increase in the Sstone and a decrease in the DA-stone on the interface transition zone in both cases requires further investigation.


Langmuir ◽  
2019 ◽  
Vol 36 (2) ◽  
pp. 618-627 ◽  
Author(s):  
Meng Chen ◽  
Huijun Zhou ◽  
Runliang Zhu ◽  
Xiancai Lu ◽  
Hongping He

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