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18 pages, 3424 KiB  
Article
Large Number of Direct or Pseudo-Direct Band Gap Semiconductors among A3TrPn2 Compounds with A = Li, Na, K, Rb, Cs; Tr = Al, Ga, In; Pn = P, As
by Sabine Zeitz, Yulia Kuznetsova and Thomas F. Fässler
Molecules 2024, 29(17), 4087; https://doi.org/10.3390/molecules29174087 - 28 Aug 2024
Viewed by 538
Abstract
Due to the high impact of semiconductors with respect to many applications for electronics and energy transformation, the search for new compounds and a deep understanding of the structure–property relationship in such materials has a high priority. Electron-precise Zintl compounds of the composition [...] Read more.
Due to the high impact of semiconductors with respect to many applications for electronics and energy transformation, the search for new compounds and a deep understanding of the structure–property relationship in such materials has a high priority. Electron-precise Zintl compounds of the composition A3TrPn2 (A = Li − Cs, Tr = Al − In, Pn = P, As) have been reported for 22 possible element combinations and show a large variety of different crystal structures comprising zero-, one-, two- and three-dimensional polyanionic substructures. From Li to Cs, the compounds systematically lower the complexity of the anionic structure. For an insight into possible crystal–structure band–structure relations for all compounds (experimentally known or predicted), their band structures, density of states and crystal orbital Hamilton populations were calculated on a basis of DFT/PBE0 and SVP/TZVP basis sets. All but three (Na3AlP2, Na3GaP2 and Na3AlAs2) compounds show direct or pseudo-direct band gaps. Indirect band gaps seem to be linked to one specific structure type, but only for Al and Ga compounds. Arsenides show smaller band gaps than phosphides due to weaker Tr-As bonds. The bonding situation was confirmed by a Mullikan analysis, and most states close to the Fermi level were assigned to non-bonding orbitals. Full article
(This article belongs to the Special Issue Exclusive Feature Papers in Inorganic Chemistry, 2nd Edition)
Show Figures

Figure 1

Figure 1
<p>Overview of all known structure types within the <span class="html-italic">A</span><sub>3</sub><span class="html-italic">TrPn</span><sub>2</sub> system (with <span class="html-italic">A</span> = Li − Cs, <span class="html-italic">Tr</span> = Al, Ga, In, <span class="html-italic">Pn</span> = P, As). The respective structure types (denoted as (<b>A</b>–<b>H</b>) in the picture) are used to reference the structures. For all structures, the alkali metal <span class="html-italic">A</span> is depicted in red, the pnictide <span class="html-italic">Pn</span> in purple and the triel element <span class="html-italic">Tr</span> in grey.</p>
Full article ">Figure 2
<p>(<b>a</b>) Band structure and density of states of Li<sub>3</sub>AlP<sub>2</sub> (type <b>F</b>) with a direct band gap of 3.06 eV green arrow); (<b>b</b>) band structure and density of states of Cs<sub>3</sub>AlP<sub>2</sub> (type <b>A</b>) with a pseudo-direct band gap of 2.54 eV (green arrow) and an indirect band gap of 2.56 eV (orange arrow).</p>
Full article ">Figure 3
<p>(<b>a</b>) Band structure and density of states of Na<sub>3</sub>AlP<sub>2</sub> (type <b>E</b>) with an indirect band gap of 3.34 eV; (<b>b</b>) band structure and density of states of K<sub>3</sub>InP<sub>2</sub> (type <b>E</b>) with a direct band gap of 2.89 eV.</p>
Full article ">Figure 4
<p>(<b>a</b>) COHP for all heteroatomic interactions in Li<sub>3</sub>AlP<sub>2</sub> and Na<sub>3</sub>AlP<sub>2</sub>. (<b>b</b>) COHP for Tr-Tr interactions for Na<sub>3</sub>AlP<sub>2</sub> and K<sub>3</sub>InP<sub>2</sub>. (<b>c</b>) Al-P bond projected COHP for Li<sub>3</sub>AlP<sub>2</sub> and Cs<sub>3</sub>AlP<sub>2</sub>. For all plots, the red line represents the Fermi level at 0 eV and the grey, dashed line the top of the band gap. For Cs<sub>3</sub>AlP<sub>2</sub>, the atomic positions in the projected DOS refer to the assigned positions in the scheme.</p>
Full article ">Scheme 1
<p>Polyanions in compounds of the composition A<sub>5</sub>TtP<sub>3</sub> and A<sub>10</sub>Tt<sub>2</sub>P<sub>6</sub> (A = Li − Cs; Tt = Si − Sn).</p>
Full article ">Scheme 2
<p>Lewis valence structures of the various building units in A<sub>3</sub>TrPn<sub>2</sub> Zintl phases. Mesomere valence formulae <b>1a</b> and <b>1b</b> of the “zero”-dimensional [<span class="html-italic">Tr</span><sub>2</sub><span class="html-italic">Pn</span><sub>4</sub>]<sup>6−</sup> unit of two edge-sharing triangular planar units. The dimeric [<span class="html-italic">Tr</span><sub>2</sub><span class="html-italic">Pn</span><sub>4</sub>]<sup>6−</sup> unit <b>2</b> and the one-dimensional <math display="inline"><semantics> <mrow> <mmultiscripts> <mrow> <mo>[</mo> <mi>T</mi> <mi>r</mi> <msub> <mrow> <mi>P</mi> <mi>n</mi> </mrow> <mrow> <mn>4</mn> <mo>/</mo> <mn>2</mn> </mrow> </msub> <mo>]</mo> </mrow> <none/> <mrow> <mn>3</mn> <mo>−</mo> </mrow> <mprescripts/> <mrow> <mo>∞</mo> </mrow> <mrow> <mn>1</mn> </mrow> </mmultiscripts> </mrow> </semantics></math> string <b>3</b> of edge-sharing tetrahedra, a TrPn<sub>4</sub> tetrahedra <b>4</b> and the adamantane type subunit <b>5</b>. Further connecting atoms are represented in grey colour without formal charges.</p>
Full article ">
15 pages, 3621 KiB  
Article
Completing the Ba–As Compositional Space: Synthesis and Characterization of Three New Binary Zintl Arsenides, Ba3As4, Ba5As4, and Ba16As11
by Spencer R. Watts, Lindsey M. Wingate, Svilen Bobev and Sviatoslav Baranets
Crystals 2024, 14(6), 570; https://doi.org/10.3390/cryst14060570 - 20 Jun 2024
Viewed by 1337
Abstract
Three novel binary barium arsenides, Ba3As4, Ba5As4, and Ba16As11, were synthesized and their crystal and electronic structures were investigated. Structural data collected via the single-crystal X-ray diffraction method indicate that the [...] Read more.
Three novel binary barium arsenides, Ba3As4, Ba5As4, and Ba16As11, were synthesized and their crystal and electronic structures were investigated. Structural data collected via the single-crystal X-ray diffraction method indicate that the anionic substructures of all three novel compounds are composed of structural motifs based on the homoatomic As–As contacts, with [As2]4− dimers found in Ba5As4 and Ba16As11, and an [As4]6− tetramer found in Ba3As4. Ba3As4 and Ba5As4 crystallize in the orthorhombic crystal system—with the non-centrosymmetric space group Fdd2 (a = 15.3680(20) Å, b = 18.7550(30) Å, c = 6.2816(10) Å) for the former, and the centrosymmetric space group Cmce (a = 16.8820(30) Å, b = 8.5391(16) Å, and c = 8.6127(16) Å) for the latter—adopting Eu3As4 and Eu5As4 structure types, respectively. The heavily disordered Ba16As11 structure was solved in the tetragonal crystal system with the space group P4¯21m (a = 12.8944(12) Å and c = 11.8141(17) Å). The Zintl concept can be applied to each of these materials as follows: Ba3As4 = (Ba2+)3[As4]6−, Ba5As4 = (Ba2+)5(As3−)2[As2]4−, and 2 × Ba16As11 = (Ba2+)32(As3−) ≈ 20[As2]4− ≈ 1, pointing to the charge-balanced nature of these compounds. Electronic structure calculations indicate narrow bandgap semiconducting behavior, with calculated bandgaps of 0.47 eV for Ba3As4, 0.34 eV for Ba5As4, and 0.33 eV for Ba16As11. Full article
(This article belongs to the Section Inorganic Crystalline Materials)
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Figure 1

Figure 1
<p>Phase diagram with reported formation energies of selected barium arsenides [<a href="#B35-crystals-14-00570" class="html-bibr">35</a>,<a href="#B36-crystals-14-00570" class="html-bibr">36</a>,<a href="#B37-crystals-14-00570" class="html-bibr">37</a>,<a href="#B41-crystals-14-00570" class="html-bibr">41</a>,<a href="#B42-crystals-14-00570" class="html-bibr">42</a>]. New phases reported in this paper are highlighted in red. The formation energy for Ba<sub>16</sub>As<sub>11</sub> is not provided as it was not reported/predicted.</p>
Full article ">Figure 2
<p>(<b>a</b>) The Ba<sub>3</sub>As<sub>4</sub> structure, with highlighted [As<sub>4</sub>]<sup>6−</sup> tetramers, and the outlined unit cell; (<b>b</b>) the trigonal prismatic arrangement of As-centred [AsBa<sub>6</sub>] polyhedra; (<b>c</b>) a close-up view of the [As<sub>4</sub>]<sup>6−</sup> Zintl anion, with reported interatomic As−As distances; (<b>d</b>,<b>e</b>) a distinct representation of the As-centered coordination polyhedra for As1 and As2. Barium atoms are shown in orange and arsenic atoms are shown in blue.</p>
Full article ">Figure 3
<p>(<b>a</b>) A representation of the Ba<sub>5</sub>As<sub>4</sub> structure, with slabs made of [BaBa<sub>8</sub>] cubes, and the outlined unit cell. As–As dimers are located between the cubes; (<b>b</b>,<b>c</b>) the trigonal prismatic arrangements of As-centered [AsBa<sub>6</sub>] polyhedra encasing the [As<sub>2</sub>]<sup>4−</sup> anions; (<b>d</b>) a representation of As2-centered distorted trigonal prisms of Ba atoms. The color code is the same as in <a href="#crystals-14-00570-f001" class="html-fig">Figure 1</a>.</p>
Full article ">Figure 4
<p>(<b>a</b>) A view of the Ba<sub>16</sub>As<sub>11</sub> structure along the [001] direction, with outlined barium polyhedra. The unit cell is highlighted; (<b>b</b>) the characteristic square prism–antiprism column, with all details of the structural disorder; (<b>c</b>) the simplified structural model used for electronic structure calculations. Note the noticeably elongated As6–As6 contact. The color code is the same as in <a href="#crystals-14-00570-f001" class="html-fig">Figure 1</a>.</p>
Full article ">Figure 5
<p>Calculated Total (DOS) and Partial (PDOS) density of states plots for (<b>a</b>) Ba<sub>3</sub>As<sub>4</sub>, (<b>b</b>) Ba<sub>5</sub>As<sub>4</sub>, and (<b>c</b>) Ba<sub>16</sub>As<sub>11</sub>. The Fermi level is the energy reference at 0 eV. An additional dashed line for (<b>c</b>) at ca. 0.48 eV indicates a 2-electron shift per unit cell, which corresponds to 1 electron per formula unit.</p>
Full article ">Figure 6
<p>Calculated Crystal Orbital Hamilton plots (COHP) for (<b>a</b>) Ba<sub>3</sub>As<sub>4</sub>, (<b>b</b>) Ba<sub>5</sub>As<sub>4</sub>, and (<b>c</b>) Ba<sub>16</sub>As<sub>11</sub>. The Fermi level is the energy reference at 0 eV. An additional dashed line at ca. 0.48 eV indicates a 1-electron shift per formula unit.</p>
Full article ">Figure 7
<p>Band structures for (<b>a</b>) Ba<sub>3</sub>As<sub>4</sub>, (<b>b</b>) Ba<sub>5</sub>As<sub>4</sub>, and (<b>c</b>) Ba<sub>16</sub>As<sub>11</sub>. The Fermi level is the energy reference at 0 eV. An additional dashed line at ca. 0.48 eV indicates a 1-electron shift per formula unit.</p>
Full article ">
11 pages, 7058 KiB  
Article
Thermoelectric Properties of Zn-Doped YbMg1.85−xZnxBi1.98
by Simin Wei, Nailing Qin, Guiying Wu, Zhengbing Xu, Lei Miao, Xiyong Chen and Jialin Yan
Materials 2024, 17(5), 973; https://doi.org/10.3390/ma17050973 - 20 Feb 2024
Viewed by 971
Abstract
Bi-based YbMg2Bi1.98 Zintl compounds represent promising thermoelectric materials. Precise composition and appropriate doping are of great importance for this complex semiconductor. Here, the influence of Zn substitution for Mg on the microstructure and thermoelectric properties of p-type YbMg1.85− [...] Read more.
Bi-based YbMg2Bi1.98 Zintl compounds represent promising thermoelectric materials. Precise composition and appropriate doping are of great importance for this complex semiconductor. Here, the influence of Zn substitution for Mg on the microstructure and thermoelectric properties of p-type YbMg1.85−xZnxBi1.98 (x = 0, 0.05, 0.08, 0.13, 0.23) was investigated. Polycrystalline samples were prepared using induction melting and densified with spark plasma sintering. X-ray diffraction confirmed that the major phase of the samples possesses the trigonal CaAl2Si2-type crystal structure, and SEM/EDS indicated the presence of minor secondary phases. The electrical conductivity increases and the lattice thermal conductivity decreases with more Zn doping in YbMg1.85−xZnxBi1.98, whereas the Seebeck coefficient has a large reduction. The band gap decreases with increasing Zn concentration and leads to bipolar conduction, resulting in an increase in the thermal conductivity at higher temperatures. Figure of merit ZT values of 0.51 and 0.49 were found for the samples with x = 0 and 0.05 at 773 K, respectively. The maximum amount of Zn doping is suggested to be less than x = 0.1. Full article
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Figure 1

Figure 1
<p>(<b>a</b>) Powder XRD patterns of the YbMg<sub>1.85−<span class="html-italic">x</span></sub>Zn<sub><span class="html-italic">x</span></sub>Bi<sub>1.98</sub> (<span class="html-italic">x</span> = 0, 0.05, 0.08, 0.13, and 0.23) samples and (<b>b</b>) Rietveld refinement of the XRD pattern for the sample with <span class="html-italic">x</span> = 0.13.</p>
Full article ">Figure 2
<p>FE-SEM images on the polished and fractured (inset) surfaces for YbMg<sub>1.85−<span class="html-italic">x</span></sub>Zn<sub><span class="html-italic">x</span></sub>Bi<sub>1.98</sub> with (<b>a</b>) <span class="html-italic">x</span> = 0.05, (<b>b</b>) <span class="html-italic">x</span> = 0.08, (<b>c</b>) <span class="html-italic">x</span> = 0.13, and (<b>d</b>) <span class="html-italic">x</span> = 0.23 and the corresponding EDS spectra of the secondary phases in YbMg<sub>1.85−<span class="html-italic">x</span></sub>Zn<sub><span class="html-italic">x</span></sub>Bi<sub>1.98</sub> with (<b>e</b>) <span class="html-italic">x</span> = 0.05, (<b>f</b>) <span class="html-italic">x</span> = 0.08, (<b>g</b>) <span class="html-italic">x</span> = 0.13, and (<b>h</b>) <span class="html-italic">x</span> = 0.23.</p>
Full article ">Figure 3
<p>Variations in (<b>a</b>) the electrical conductivity and (<b>b</b>) the Seebeck coefficient with temperature. (<b>c</b>) Variation in <span class="html-italic">E<sub>g</sub></span> with Zn concentration <span class="html-italic">x</span>. (<b>d</b>) Variation in the power factor with temperature for YbMg<sub>1.85−<span class="html-italic">x</span></sub>Zn<sub><span class="html-italic">x</span></sub>Bi<sub>1.98</sub> (<span class="html-italic">x</span> = 0, 0.05, 0.08, 0.13, 0.23).</p>
Full article ">Figure 4
<p>Variations in (<b>a</b>) the thermal diffusivity for YbMg<sub>1.85−<span class="html-italic">x</span></sub>Zn<sub><span class="html-italic">x</span></sub>Bi<sub>1.98</sub> (<span class="html-italic">x</span> = 0, 0.05, 0.08, 0.13, 0.23) and (<b>b</b>) the measured and calculated specific heat capacity with temperature. The dashed lines represent the calculated <span class="html-italic">C<sub>p</sub></span> obtained from the corrected Dulong–Petit law in Agne et al. [<a href="#B29-materials-17-00973" class="html-bibr">29</a>].</p>
Full article ">Figure 5
<p>Variations in (<b>a</b>) the total thermal conductivity, (<b>b</b>) the electronic thermal conductivity, (<b>c</b>) the lattice thermal conductivity, and (<b>d</b>) <span class="html-italic">ZT</span> with temperature for YbMg<sub>1.85−<span class="html-italic">x</span></sub>Zn<sub><span class="html-italic">x</span></sub>Bi<sub>1.98</sub> (<span class="html-italic">x</span> = 0, 0.05, 0.08, 0.13, 0.23).</p>
Full article ">
12 pages, 3953 KiB  
Article
Results from Exploratory Work in Li-Rich Regions of the AE-Li-Ge Systems (AE = Ca, Sr, Ba)
by Jiliang Zhang and Svilen Bobev
Crystals 2024, 14(1), 57; https://doi.org/10.3390/cryst14010057 - 31 Dec 2023
Cited by 2 | Viewed by 1194
Abstract
The compounds AELi2Ge (AE = Ca, Sr and Ba) were synthesized, and their structures were determined as a part of the exploratory work in the Li-rich regions of the respective ternary systems. The three compounds are isostructural, and their [...] Read more.
The compounds AELi2Ge (AE = Ca, Sr and Ba) were synthesized, and their structures were determined as a part of the exploratory work in the Li-rich regions of the respective ternary systems. The three compounds are isostructural, and their crystal structure is analogous with the orthorhombic structure of BaLi2Si and KLi2As (space group Pmmn). The atomic arrangement can be viewed as an intergrowth of corrugated AEGe layers, alternated with slabs of Li atoms, suggestive of the possible application of these phases as electrode materials for lithium-ion batteries. Both experimental electronic density and calculated electronic structure suggest the existence of Li–Li and Li–Ge interactions with largely covalent character. Despite that, the valence electrons can be partitioned as (AE2+)(Li+)2(Ge4–), i.e., the title compounds can be viewed as valence-precise Zintl phases. The band structure calculations for BaLi2Ge show that a bona fide energy gap in the band structure does not exist and that the expected poor metallic behavior is originated from the AEGe sub-lattice and related to hybridization of Ba5d and Ge3p states in the valence band in proximity of the Fermi level. In addition, electrochemical measurements indicate that Li atoms can be intercalated into CaGe with a maximum capacity of 446 mAh/g, close to the theoretical value of 480 mAh/g of CaLi2Ge, which reveals the possibility of this Li-rich compound to be used as an electrode in Li-ion batteries. Full article
(This article belongs to the Special Issue Advances in Metal-Ion Batteries)
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Figure 1

Figure 1
<p>Schematic representation of the orthorhombic <span class="html-italic">AE</span>Li<sub>2</sub>Ge structure, viewed along the crystallographic <span class="html-italic">a</span>-axis (<b>left</b>) and <span class="html-italic">b</span>-axis (<b>right</b>). <span class="html-italic">AE</span> atoms are represented as blue spheres, Ge atoms are drawn as green spheres, and Li atoms are shown with the red spheres. The “Ba2Li2Ge tetrahedral chains” are shown with atoms connected by sticks; the inter-chain interactions are illustrated by the dashed lines, and the Li—Li interactions are depicted with the thin red lines. The unit cell is outlined by the blue frame in both projections.</p>
Full article ">Figure 2
<p>Schematic representation of <span class="html-italic">AE</span>Li<sub>2</sub>Ge, viewed approximately along the crystallographic b-axis and the projection of the crystal structure of <span class="html-italic">AE</span>Li<sub>2</sub>Ge on the (001) planes: (<b>a</b>) <span class="html-italic">AE</span>Ge layer and (<b>b</b>) Li layer. <span class="html-italic">AE</span> atoms are represented as blue spheres, Ge atoms are drawn as green spheres and Li atoms are shown with the red spheres. Both layers can be considered as the distortion of the corresponding simple compounds: (<b>a</b>) PbO-type <span class="html-italic">AE</span>Ge and (<b>b</b>) hexagonal Li.</p>
Full article ">Figure 3
<p>Electron density distributions obtained by MEM (<b>a</b>) and its Laplacian transformation (<b>b</b>). The inset crystallographic structure in (<b>a</b>) shows the crystal planes containing only Ge (green spheres) and Li (red spheres) atoms, corresponding to the electron density distributions. The unit for the electronic density is e/Å<sup>3</sup>. The logarithmic contour lines show eight levels, from minimum to maximum.</p>
Full article ">Figure 4
<p>Band structure (<b>middle</b>) and DOS (<b>right</b>) of BaLi<sub>2</sub>Ge, together with the schematically depicted Brillouin zone (<b>left</b>). The Fermi level is shown as the dash line. The red line in the band structure represents the main conductive band.</p>
Full article ">Figure 5
<p>Partial DOS (black lines) for Ba, Li and Ge in BaLi<sub>2</sub>Ge. Contributions from s-, p-, d-bands are shown by the blue, red and pink lines, respectively. The dotted lines indicate the Fermi level. Around 0.9 electrons are transferred from Li to Ge (in one unit cell with two formula units).</p>
Full article ">Figure 6
<p>The electrochemical performance of polycrystalline CaGe. Panel (<b>a</b>) shows the specific capacity, and panel (<b>b</b>) depicts the Coulombic efficiency.</p>
Full article ">Figure A1
<p>Powder X-ray diffraction patterns of as-made CaGe [CaGe powders were prepared via high-energy ball milling using Ca (Aldrich, &gt;99.9%) and Ge powders (Aldrich, &gt;99.9%). The molar ratio of Ca and Ge was 1:1 with a total weight of 2 g. Stainless steel balls of 40 g were used, and the ball milling was carried out under an Ar atmosphere for 3 h and with CaGe electrodes after the first discharge-charge cycle, together with simulated patterns of CaGe and CaLi<sub>2</sub>Ge. A small sharp peak appears at ca. 30° in the pattern of the CaGe electrode after the first cycle, and it does not match a known phase.</p>
Full article ">
14 pages, 6033 KiB  
Article
Ba5Sb8: The Highest Homologue of the Family of Binary Semiconducting Barium Antimonides BanSb2n−2 (n ≥ 2)
by S. M. Gayomi K. Samarakoon, Alexander Ovchinnikov, Sviatoslav Baranets and Svilen Bobev
Inorganics 2024, 12(1), 3; https://doi.org/10.3390/inorganics12010003 - 20 Dec 2023
Cited by 1 | Viewed by 2264
Abstract
A novel binary compound within the Ba–Sb phase diagram, Ba5Sb8, was synthesized by combining elements with an excess of Sb in an alumina crucible. Structural elucidation was performed using single-crystal X-ray diffraction. This compound crystallizes in the orthorhombic space [...] Read more.
A novel binary compound within the Ba–Sb phase diagram, Ba5Sb8, was synthesized by combining elements with an excess of Sb in an alumina crucible. Structural elucidation was performed using single-crystal X-ray diffraction. This compound crystallizes in the orthorhombic space group Fdd2 with unit cell parameters of a = 15.6568(13) Å, b = 35.240(3) Å, c = 6.8189(6) Å, adopting its own structure type. The most distinctive features of the structure are the eight-membered [Sb8]10− polyanionic fragments which have no known precedents among antimonides. They are separated by five Ba2+ cations, which afford the charge balance and enable adherence to the Zintl–Klemm formalism. Ba5Sb8 is the highest known member of the homologous series within the family of barium antimonides BanSb2n−2 (n ≥ 2), all of which boast anionic substructures with oligomeric moieties of pnictogen atoms with varied lengths and topologies. Electronic structure calculations indicate an indirect narrow bandgap of ca. 0.45 eV, which corroborates the valence-precise chemical bonding in Ba5Sb8. Full article
(This article belongs to the Special Issue 10th Anniversary of Inorganics: Inorganic Solid State Chemistry)
Show Figures

Graphical abstract

Graphical abstract
Full article ">Figure 1
<p>A schematic representation of the Ba<sub>5</sub>Sb<sub>8</sub> unit cell, emphasizing the eight-membered oligomeric fragments made of Sb atoms. Barium atoms are shown in gray, and antimony atoms are shown in orange. The unit cell is outlined.</p>
Full article ">Figure 2
<p>The sequence of alternating layers composed of perpendicularly oriented distorted trigonal prisms made of Ba atoms along the a-axis. Sb atoms are packed inside the Ba atom framework. The color code is the same as in <a href="#inorganics-12-00003-f001" class="html-fig">Figure 1</a>. Alternating slabs of perpendicular Ba<sub>6</sub> prisms are denoted in red and orange. The unit cell is outlined.</p>
Full article ">Figure 3
<p>(<b>a</b>) The trigonal prismatic arrangement of Sb-centered [SbBa<sub>6</sub>] and empty [Ba<sub>6</sub>] polyhedra encasing the [Sb<sub>8</sub>]<sup>10−</sup> polyanion; (<b>b</b>) close-up view of the [Sb<sub>8</sub>]<sup>10−</sup> chain-like Zintl anion supplemented with the respective Sb–Sb distances; (<b>c</b>–<b>f</b>) distinct representation of Sb-centered trigonal prisms of Ba atoms. Sb<sub>1</sub> and Sb<sub>2</sub> atoms are located close to the center of the prisms, whereas Sb3 and Sb4 atoms are closer to one of the rectangular faces.</p>
Full article ">Figure 4
<p>(<b>a</b>) Structural representation of the Sb<sub>8</sub> and As<sub>8</sub> polyanions observed in the structures of Ba<sub>5</sub>Sb<sub>8</sub> and Ca<sub>2</sub>As<sub>3</sub> (<b>a</b>); Sb<sub>6</sub> fragment observed in the structure of Ba<sub>2</sub>Sb<sub>3</sub> (<b>b</b>); As<sub>4</sub> anion observed in the structure of Eu<sub>3</sub>As<sub>4</sub> and Ca<sub>2</sub>As<sub>3</sub> (<b>c</b>); and an infinite zig-zag Sb<sub>∞</sub> chain observed in the structure of BaSb<sub>2</sub> (<b>d</b>).</p>
Full article ">Figure 5
<p>(<b>a</b>) Calculated bulk electronic band structure of Ba<sub>5</sub>Sb<sub>8</sub> along high symmetry directions. (<b>b</b>) Zoomed-in view for the electronic band structure near the Fermi level, which reveals the indirect bandgap opening along the Γ and L points. The Fermi level is set at 0 eV.</p>
Full article ">Figure 6
<p>Density of states (DOS) of Ba<sub>5</sub>Sb<sub>8</sub>. The total (black trace) and projected density of states for the Ba and Sb contributions (red and blue traces, respectively). The Fermi level is taken as <span class="html-italic">E</span> − <span class="html-italic">E</span><sub>F</sub> = 0 eV.</p>
Full article ">Figure 7
<p>Calculated COHP curves for the average Ba–Sb and specific Sb–Sb interactions in the [Sb<sub>8</sub>] fragment.</p>
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<p>A schematic representation of four structure types, compositionally (<b>a</b>,<b>b</b>,<b>d</b>) and structurally (<b>c</b>) relevant to the title Ba<sub>5</sub>Sb<sub>8</sub> phase. (<b>a</b>) In the Cs<sub>5</sub>Sb<sub>8</sub> structure type, Sb atoms are arranged into five-membered rings linked via short Sb chains. (<b>b</b>) In the Ca<sub>5</sub>P<sub>8</sub> structure type, the anionic substructure is described as isolated P<sub>8</sub><sup>10−</sup> anions isostructural to the staggered conformation of ethane. (<b>c</b>) The anionic substructure of Ca<sub>2</sub>As<sub>3</sub> consists of four- and eight-membered chains composed of As atoms. (<b>d</b>) A three-dimensional network of Sb atoms within the [Ti,Zr]<sub>5</sub>Sb<sub>8</sub> structure type.</p>
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12 pages, 4701 KiB  
Article
Synthesis and Crystal and Electronic Structures of the Zintl Phase Sr21Cd4Sb18
by Kowsik Ghosh and Svilen Bobev
Solids 2023, 4(4), 344-355; https://doi.org/10.3390/solids4040022 - 17 Nov 2023
Cited by 1 | Viewed by 1266
Abstract
Reported herein are the synthesis and crystal chemistry analysis of the Zintl phase Sr21Cd4Sb18. Single crystals of this compound were grown using the Sn-flux method, and structural characterization was carried out using single-crystal X-ray diffraction. Crystal data: [...] Read more.
Reported herein are the synthesis and crystal chemistry analysis of the Zintl phase Sr21Cd4Sb18. Single crystals of this compound were grown using the Sn-flux method, and structural characterization was carried out using single-crystal X-ray diffraction. Crystal data: Monoclinic space group C2/m (No. 12, Z = 4); a = 18.2536(6) Å, b = 17.4018(5) Å, and c = 17.8979(6) Å, β = 92.024(1)°. The structure is based on edge- and corner-shared CdSb4 tetrahedra, which ultimately form octameric [Cd8Sb22] fragments, where two symmetry-equivalent subunits are connected via a homoatomic Sb–Sb interaction. The electronic band structure calculations contained herein reveal the emergence of a direct gap between the valence and the conduction bands. Full article
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<p>Schematic representation of the monoclinic crystal structure of Sr<sub>21</sub>Cd<sub>4</sub>Sb<sub>18</sub>, viewed down the <span class="html-italic">b</span>-axis. Violet, green, and gold color atoms indicate Sr, Cd, and Sb atoms, respectively. The connectivity of the Cd-centered tetrahedra of Sb atoms is emphasized. Unit cell is outlined.</p>
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<p>Close up view of [Cd<sub>8</sub>Sb<sub>22</sub>]<sup>48−</sup> made up of two [Cd<sub>4</sub>Sb<sub>11</sub>]<sup>25−</sup> subunits connected by a Sb–Sb bond. Violet, green, and gold color atoms are for Sr-, Cd-, and Sb-atoms, respectively.</p>
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<p>Electronic band structure of Sr<sub>21</sub>Cd<sub>4</sub>Sb<sub>18</sub> showing the energy gap between valence and conduction bands at the Γ point. Horizontal black and red dotted lines represent the top of the valence and the bottom of the conduction band, respectively.</p>
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<p>Atom-projected total and partial electronic density of states (DOS) of Sr<sub>21</sub>Cd<sub>4</sub>Sb<sub>18</sub>. Black and red dotted lines represent the top of the valence and the bottom of the conduction band, respectively.</p>
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<p>Crystal orbital Hamilton population (COHP) curves for Sb–Sr and Sb–Cd interactions in Sr<sub>21</sub>Cd<sub>4</sub>Sb<sub>18</sub>. Black and red dotted lines represent the top of the valence and the bottom of the conduction band, respectively.</p>
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12 pages, 1772 KiB  
Article
The Synthesis and Crystal Structure of Six Quaternary Lithium-Alkaline Earth Metal Alumo-Silicides and Alumo-Germanides, A2LiAlTt2 (A = Mg, Ca, Sr, Ba; Tt = Si, Ge)
by Paraskevi Kontomaris, Gregory M. Darone, Laura C. Paredes-Quevedo and Svilen Bobev
Inorganics 2023, 11(9), 351; https://doi.org/10.3390/inorganics11090351 - 26 Aug 2023
Viewed by 1755
Abstract
Reported are the synthesis and structural characterization of a series of quaternary lithium-alkaline earth metal alumo-silicides and alumo-germanides with the base formula A2LiAlTt2 (A = Ca, Sr, Ba; Tt = Si, Ge). To synthesize each compound, a mixture [...] Read more.
Reported are the synthesis and structural characterization of a series of quaternary lithium-alkaline earth metal alumo-silicides and alumo-germanides with the base formula A2LiAlTt2 (A = Ca, Sr, Ba; Tt = Si, Ge). To synthesize each compound, a mixture of the elements with the desired stoichiometric ratio was loaded into a niobium tube, arc welded shut, enclosed in a silica tube under vacuum, and heated in a tube furnace. Each sample was analyzed by powder and single-crystal X-ray diffraction, and the crystal structure of each compound was confirmed and refined from single-crystal X-ray diffraction data. The structures, despite the identical chemical formulae, are different, largely dependent on the nature of the alkaline earth metal. The differing cation determines the structure type—the calcium compounds are part of the TiNiSi family with the Pnma space group, the strontium compounds are isostructural with Na2LiAlP2 with the Cmce space group, and the barium compounds crystallize with the PbFCl structure type in the P4/nmm space group. The anion (silicon or germanium) only impacts the size of the unit cell, with the silicides having smaller unit cell volumes than the germanides. Full article
(This article belongs to the Section Inorganic Solid-State Chemistry)
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Graphical abstract

Graphical abstract
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<p>Schematic representation of the three types of crystal structures adopted by the <span class="html-italic">A</span><sub>2</sub>LiAl<span class="html-italic">Tt</span><sub>2</sub> (<span class="html-italic">A</span> = Ca, Sr, Ba; <span class="html-italic">Tt</span> = Si, Ge) compounds. Green, yellow, and blue colors represent the Al, Li, and <span class="html-italic">Tt</span> atoms, respectively; mixed-occupied Al/Li positions are shown as two-tone. Ca, Sr, and Ba atoms can be distinguished by the light red, dark red, and magenta spheres, respectively. Bonds (sticks) are drawn only between neighboring Al, Li, and <span class="html-italic">Tt</span> atoms. Unit cells are outlined.</p>
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<p>Schematic representation of the orthorhombic crystal structure of Ca<sub>2</sub>LiAlGe<sub>2</sub> (TiNiSi/SrMgSi structure type, space group <span class="html-italic">Pnma</span>). Green, blue, and red colors represent Al/Li, Ge, and Ca atoms, respectively. Anisotropic displacement parameters are drawn at the 95% probability level. Unit cell is outlined. Distances (rounded to fewer significant figures) are indicated. A full list of all values with their standard deviations can be found in <a href="#inorganics-11-00351-t005" class="html-table">Table 5</a>.</p>
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<p>(<b>left</b>) Schematic representation of the orthorhombic crystal structure of Sr<sub>2</sub>LiAlGe<sub>2</sub> (Na<sub>2</sub>LiAlP<sub>2</sub> structure type, space group <span class="html-italic">Cmce</span>). The chosen projection is to highlight the similarity to another structure, and the unit cell is outlined. Green, yellow, blue, and red colors represent the Al, Li, Ge, and Sr atoms, respectively. Anisotropic displacement parameters are drawn at the 95% probability level. (<b>right</b>) A projection of a single [LiAlGe<sub>2</sub>] slab, viewed down the <span class="html-italic">b</span>-axis. The checkerboard-like pattern of all edge-shared tetrahedra is emphasized.</p>
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<p>Schematic representation of the tetragonal crystal structure of Ba<sub>2</sub>LiAlGe<sub>2</sub> (PbFCl structure type, space group <span class="html-italic">P</span>4/<span class="html-italic">nmm</span>). Green, blue, and magenta colors represent the Al/Li, Ge, and Ba atoms, respectively. Anisotropic displacement parameters are drawn at the 95% probability level.</p>
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10 pages, 3446 KiB  
Article
Synthesis and Crystal Structure of the Zintl Phases NaSrSb, NaBaSb and NaEuSb
by Yi Wang and Svilen Bobev
Materials 2023, 16(4), 1428; https://doi.org/10.3390/ma16041428 - 8 Feb 2023
Cited by 6 | Viewed by 1993
Abstract
This work details the synthesis and the crystal structures of the ternary compounds NaSrSb, NaBaSb and NaEuSb. They are isostructural and adopt the hexagonal ZrNiAl-type structure (space group P6¯2m; Pearson code hP9). The structure determination in all [...] Read more.
This work details the synthesis and the crystal structures of the ternary compounds NaSrSb, NaBaSb and NaEuSb. They are isostructural and adopt the hexagonal ZrNiAl-type structure (space group P6¯2m; Pearson code hP9). The structure determination in all three cases was performed using single-crystal X-ray diffraction methods. The structure features isolated Sb3– anions arranged in layers stacked along the crystallographic c-axis. In the interstices, alkali and alkaline-earth metal cations are found in tetrahedral and square pyramidal coordination environments, respectively. The formal partitioning of the valence electrons adheres to the valence rules, i.e., Na+Sr2+Sb3–, Na+Ba2+Sb3– and Na+Eu2+Sb3– can be considered as Zintl phases with intrinsic semiconductor behavior. Electronic band structure calculations conducted for NaBaSb are consistent with this notion and show a direct gap of approx. 0.9 eV. Additionally, the calculations hint at possible inverted Dirac cones, a feature that is reminiscent of topological quantum materials. Full article
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<p>The hexagonal crystal structure of NaBaSb projected down the <span class="html-italic">c</span>-axis. The representation emphasizes the arrangement of trigonal prisms made by Na atoms (red) and Ba atoms (light green), which host the Sb atoms (light blue). The unit cell is outlined and the symmetry-unique atoms are labeled.</p>
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<p>The crystal structure of NaBaSb shown with the refined anisotropic displacement parameters for all atoms (95% probability level). The Ba atoms (light green) are coordinated to five Sb atoms (light blue) in a square-pyramidal fashion. The Na atoms (red) are tetrahedrally coordinated to four Sb atoms.</p>
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<p>The stacked atom-projected electronic density of states (DOS) for NaBaSb.</p>
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<p>Crystal orbital Hamilton population curves for Na–Sb and Ba–Sb in NaBaSb.</p>
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<p>Electronic structure of NaBaSb.</p>
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9 pages, 1154 KiB  
Article
Synthesis and Crystal Structure of the Zintl Phases Na2CaCdSb2, Na2SrCdSb2 and Na2EuCdSb2
by Bayram Saparov and Svilen Bobev
Inorganics 2022, 10(12), 265; https://doi.org/10.3390/inorganics10120265 - 18 Dec 2022
Cited by 3 | Viewed by 1662
Abstract
This work details the synthesis and the crystal structures of the quaternary Zintl phases Na2CaCdSb2, Na2SrCdSb2 and Na2EuCdSb2. They are isostructural and their noncentrosymmetric structure is with the space group Pmc2 [...] Read more.
This work details the synthesis and the crystal structures of the quaternary Zintl phases Na2CaCdSb2, Na2SrCdSb2 and Na2EuCdSb2. They are isostructural and their noncentrosymmetric structure is with the space group Pmc21 (Pearson code oP12). All structural work is carried out via single-crystal X-ray diffraction methods. The structure features [CdSb2]4– layers of corner-shared CdSb4 tetrahedra, which are stacked along the b-crystallographic axis and are separated by cations. The results from the structure refinements suggest that in addition to full cation ordering, which is typical for this structure, there also exists a possibility for an accommodation of a small degree of cation disorder. Full article
(This article belongs to the Special Issue Advances of Thermoelectric Materials)
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<p>Side-by-side comparison between the crystal structure of Na<sub>2</sub>CaCdSb<sub>2</sub> (<b>a</b>) and that of Yb<sub>2</sub>CdSb<sub>2</sub> (<b>b</b>). Both projections are along the <span class="html-italic">a</span>-crystallographic axis. Bonds are drawn only between Cd (green) and Sb (red) atoms, emphasizing the polyanionic [CdSb<sub>2</sub>]<sup>4–</sup> layers. Unit cells are outlined.</p>
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<p>Cation coordination polyhedra in the crystal structure of Na<sub>2</sub>CaCdSb<sub>2</sub>.</p>
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<p>Side-by-side comparison between the crystal structure of Na<sub>2</sub>CaCdSb<sub>2</sub> (<b>a</b>) and that of NaCdSb (TiNiSi-structure type) (<b>b</b>). The judiciously drawn Cd–Sb bonds (cylinders) and the 3.1 Å Na2–Sb bonds (black lines) emphasize the [NaCdSb<sub>2</sub>]<sup>3–</sup> framework in Na<sub>2</sub>CaCdSb<sub>2</sub> (<b>a</b>) and its similarity to the [Cd<sub>2</sub>Sb<sub>2</sub>]<sup>2–</sup> framework in NaCdSb (<b>b</b>). Unit cells are outlined and the origin of the unit cell in (a) is shifted in order to facilitate the comparison. Color code: Na in yellow, Ca in blue, Cd in green and Sb in red.</p>
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10 pages, 1018 KiB  
Article
Structures of Three Alkaline-Earth Metal Germanides Refined from Single-Crystal X-ray Diffraction Data
by Nian-Tzu Suen and Svilen Bobev
Chemistry 2022, 4(4), 1429-1438; https://doi.org/10.3390/chemistry4040094 - 2 Nov 2022
Cited by 2 | Viewed by 1824
Abstract
The calcium- and strontium- alumo-germanides SrxCa1–xAl2Ge2 (x ≈ 0.4) and SrAl2Ge2 have been synthesized and structurally characterized. Additionally, a binary calcium germanide CaGe has also been identified as a byproduct. All [...] Read more.
The calcium- and strontium- alumo-germanides SrxCa1–xAl2Ge2 (x ≈ 0.4) and SrAl2Ge2 have been synthesized and structurally characterized. Additionally, a binary calcium germanide CaGe has also been identified as a byproduct. All three crystal structures have been established from single-crystal X-ray diffraction methods and refined with high accuracy and precision. The binary CaGe crystallizes with a CrB-type structure in the orthorhombic space group Cmcm (no. 63; Z = 4; Pearson symbol oC8), where the germanium atoms are interconnected into infinite zigzag chains, formally [Ge]2−. The calcium atoms are arranged in monocapped trigonal prisms, centered by Ge atoms. SrxCa1−xAl2Ge2 (x ≈ 0.4) and SrAl2Ge2 have been confirmed to crystallize with a CaAl2Si2-type structure in the trigonal space group P3¯m1 (no. 164; Z = 1; Pearson symbol hP5), where the germanium and aluminum atoms form puckered double-layers, formally [Al2Ge2]2−. The calcium atoms are located between the layers and reside inside distorted octahedra of Ge atoms. All presented structures have a valence electron count satisfying the octet rules (e.g., Ca2+Ge2− and Ca2+[Al2Ge2]2−) and can be regarded as Zintl phases. Full article
(This article belongs to the Section Crystallography)
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<p>Off [100]-view of the crystal structure of CaGe, emphasizing the Ge zigzag chains and the packing of the metal-atom polyhedra. The unit cell is outlined. Thermal ellipsoids are drawn at the 95% probability level.</p>
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<p>Off [010]-view of the crystal structure of Sr<sub>0.36(1)</sub>Ca<sub>0.64</sub>Al<sub>2</sub>Ge<sub>2</sub>, emphasizing the double [Al<sub>2</sub>Ge<sub>2</sub>]<sup>2−</sup> layers. The three shorter and one longer Al–Ge bonds are represented with different colors. The unit cell is outlined. Thermal ellipsoids are drawn at the 95% probability level.</p>
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9 pages, 1881 KiB  
Article
Synthesis, Crystal and Electronic Structure of the New Ternary Compound Ca3InAs3
by Wanyue Peng, Sviatoslav Baranets and Svilen Bobev
Crystals 2022, 12(10), 1467; https://doi.org/10.3390/cryst12101467 - 17 Oct 2022
Cited by 1 | Viewed by 1579
Abstract
Crystals of a new ternary compound in the Ca-In-As family, Ca3InAs3, have been successfully synthesized via flux growth techniques. This is only the third known compound between the respective elements. As elucidated by single-crystal X-ray diffraction measurements, Ca3 [...] Read more.
Crystals of a new ternary compound in the Ca-In-As family, Ca3InAs3, have been successfully synthesized via flux growth techniques. This is only the third known compound between the respective elements. As elucidated by single-crystal X-ray diffraction measurements, Ca3InAs3 crystallizes in the orthorhombic space group Pnma (No. 62, Pearson symbol oP28) with unit cell parameters a = 12.296(2) Å, b = 4.2553(7) Å, and c = 13.735(2) Å. The smallest building motifs of the structure are InAs4 tetrahedra, which are connected to one another by shared As corners, forming infinite [InAs2As2/2] chains. The latter propagate along the crystallographic b-axis. The As-In-As bond angles within the InAs4 tetrahedra deviate from the ideal 109.5° value and range from 98.12(2)° to 116.53(2)°, attesting to a small distortion from the regular tetrahedral geometry. Electronic structure calculations indicate the opening of a bandgap, consistent with the expected (Ca2+)3(In3+)(As3–)3 formula breakdown based on conventional oxidation numbers. The calculations also show that the Ca–As interactions are an intermediate between covalent and ionic, while providing evidence of strong covalent features of the In–As interactions. Weak s-p hybridization of In states was observed, supporting the experimentally found deviation of the InAs4 moiety from the ideal tetrahedral symmetry. Full article
(This article belongs to the Special Issue Semiconductor Material Growth, Characterization, and Simulation)
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<p>(<b>a</b>) A schematic polyhedral representation of the orthorhombic crystal structure of Ca<sub>3</sub>InAs<sub>3</sub>. (<b>b</b>) Distinct coordination environments for Ca1, Ca2, Ca3, As1, As2, and As3. (<b>c</b>) The InAs<sub>4</sub> tetrahedra and the way they are linked (corner-sharing of the As1 atoms). The As-In-As angles deviate from the ideal 109.5° of a regular tetrahedron. As1-In-As2, As1-In-As3, and As3-In-As2 angles measure 108.81(2)°, 116.53(2)°, and 98.12(2)°, respectively. Interatomic distances can be found in <a href="#crystals-12-01467-t003" class="html-table">Table 3</a>.</p>
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<p>(<b>a</b>) The stacked atom-projected electronic density of states (DOS) for Ca<sub>3</sub>InAs<sub>3</sub>. The Fermi level is taken as a reference at 0 eV and represented with a dashed line. A bandgap of 0.46 eV can be observed. (<b>b</b>) Calculated partial DOS of different orbitals of for Ca. (<b>c</b>) Calculated partial DOS of different orbitals of for In. (<b>d</b>) Calculated partial DOS of different orbitals of for As.</p>
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<p>The electronic band structure of Ca<sub>3</sub>InAs<sub>3</sub>. The Fermi level is taken as a reference at 0 eV and represented with a dashed line. The opening of a bandgap of ca. 0.46 eV at the Γ point is suggestive of an intrinsic, direct gap semiconductor.</p>
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<p>The crystal orbital Hamilton population curves (COHP) for two averaged interactions in Ca<sub>3</sub>InAs<sub>3</sub>. The In–As interactions are optimized at the Fermi level. Ca–As interactions are almost fully optimized at the Fermi level.</p>
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13 pages, 2932 KiB  
Article
The Role of Different Alkali Metals in the A15Tl27 Type Structure and the Synthesis and X-ray Structure Analysis of a New Substitutional Variant Cs14.53Tl28.4
by Vanessa F. Schwinghammer, Susanne M. Tiefenthaler and Stefanie Gärtner
Materials 2021, 14(24), 7512; https://doi.org/10.3390/ma14247512 - 8 Dec 2021
Cited by 3 | Viewed by 2345
Abstract
Alkali metal thallides have been known since the report of E. Zintl on NaTl in 1932. Subsequently, binary and ternary thallides of alkali metals have been characterized. At an alkali metal proportion of approximately 33% (A:Tl~1:2, A = alkali metal), three different unique [...] Read more.
Alkali metal thallides have been known since the report of E. Zintl on NaTl in 1932. Subsequently, binary and ternary thallides of alkali metals have been characterized. At an alkali metal proportion of approximately 33% (A:Tl~1:2, A = alkali metal), three different unique type structures are reported: K49Tl108, Rb17Tl41 and A15Tl27 (A = Rb, Cs). Whereas Rb17Tl41 and K49Tl108 feature a three-dimensional sublattice of Tl atoms, the A15Tl27 structure type includes isolated Tl11 clusters as well as two-dimensional Tl-layers. This unique arrangement is only known so far when the heavier alkali metals Rb and Cs are included. In our contribution, we present single-crystal X-ray structure analyses of new ternary and quaternary compounds of the A15Tl27 type structure, which include different amounts of potassium. The crystal structures allow for the discussion of the favored alkali metal for each of the four Wyckoff positions and clearly demonstrate alkali metal dependent site preferences. Thereby, the compound Cs2.27K12.73Tl27 unambiguously proves the possibility of a potassium-rich A15Tl27 phase, even though a small amount of cesium appears to be needed for the stabilization of the latter structure type. Furthermore, we also present two compounds that show an embedding of Tl instead of alkali metal into the two-dimensional substructure, being equivalent to the formal oxidation of the latter. Cs14.53Tl28.4 represents the binary compound with the so far largest proportion of incorporated Tl in the structure type A15Tl27. Full article
(This article belongs to the Section Advanced Materials Characterization)
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<p>Unit cell of the A<sub>15</sub>Tl<sub>27</sub> type structure with the 4 symmetry-independent alkali metal positions.</p>
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<p>The two-dimensional layer in A<sub>15</sub>Tl<sub>27</sub> type structures consists of Tl<sub>11</sub> clusters (<b>a</b>) which are interconnected by a common Tl5-Tl5 edge and a Tl4-Tl4 inter-cluster distance is formed (<b>b</b>). Altogether, six Tl<sub>11</sub> cluster entities define the pore (<b>c</b>). In A<sub>15</sub>Tl<sub>27</sub>, this pore is filled by alkali metal. Cs<sub>8.21</sub>Rb<sub>6.76</sub>Tl<sub>27.09</sub> and Cs<sub>14.53</sub>Tl<sub>28.4</sub> prove the possibility of substituting this alkali metal position by thallium. Selected distances for both compounds are given in Table 5.</p>
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<p>(<b>a</b>) isolated Tl<sub>11</sub> cluster and (<b>b</b>) Tl<sub>11</sub> cluster of the two-dimensional layer.</p>
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<p>(<b>a</b>) Electron density map generated by Olex2 (see <a href="#sec2-materials-14-07512" class="html-sec">Section 2</a>) of the area around Cs4 shows surrounding residual density (blue), which created the idea of additional thallium being partially present instead of Cs4. (<b>b</b>) The partial replacement of Cs4 (Wyckoff 1b) by Tl7 (Wyckoff 3g) results in two subunits being present in Cs<sub>8.21</sub>Rb<sub>6.76</sub>Tl<sub>27.1</sub>: cesium, including Tl<sub>16</sub><sup>8−</sup> layers and cesium-free Tl<sub>19</sub><sup>7−</sup> layers. Refinement indicators (Olex2) show improved model for Cs<sub>8.21</sub>Rb<sub>6.76</sub>Tl<sub>27.1</sub>.</p>
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<p>Different hosts in the pores of the two-dimensional layer of A<sub>15</sub>Tl<sub>27</sub>-type structures: (<b>a</b>) Cs<sub>15</sub>Tl<sub>27</sub>; (<b>b</b>) Cs<sub>14.53</sub>Tl<sub>28.4</sub>.</p>
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<p>When Cs4 is replaced by Tl7, the unusually short Tl7-Tl5 distance would be observed. Prolate displacement of Tl5 indicated split positions, which were refined according to the s.o.f. of Tl7 and Cs4, respectively. This model yields a reasonable Tl5A-Tl7 distance and improved residual density description.</p>
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25 pages, 8340 KiB  
Article
Tutorial on Chemical Pressure Analysis: How Atomic Packing Drives Laves/Zintl Intergrowth in K3Au5Tl
by Erdong Lu, Jonathan S. Van Buskirk, Jingxiang Cheng and Daniel C. Fredrickson
Crystals 2021, 11(8), 906; https://doi.org/10.3390/cryst11080906 - 31 Jul 2021
Cited by 15 | Viewed by 3508
Abstract
The tight atomic packing generally exhibited by alloys and intermetallics can create the impression of their being composed of hard spheres arranged to maximize their density. As such, the atomic size factor has historically been central to explanations of the structural chemistry of [...] Read more.
The tight atomic packing generally exhibited by alloys and intermetallics can create the impression of their being composed of hard spheres arranged to maximize their density. As such, the atomic size factor has historically been central to explanations of the structural chemistry of these systems. However, the role atomic size plays structurally has traditionally been inferred from empirical considerations. The recently developed DFT-Chemical Pressure (CP) analysis has opened a path to investigating these effects with theory. In this article, we provide a step-by-step tutorial on the DFT-CP method for non-specialists, along with advances in the approach that broaden its applicability. A new version of the CP software package is introduced, which features an interactive system that guides the user in preparing the necessary electronic structure data and generating the CP scheme, with the results being readily visualized with a web browser (and easily incorporated into websites). For demonstration purposes, we investigate the origins of the crystal structure of K3Au5Tl, which represents an intergrowth of Laves and Zintl phase domains. Here, CP analysis reveals that the intergrowth is supported by complementary CP features of NaTl-type KTl and MgCu2-type KAu2 phases. In this way, K3Au5Tl exemplifies how CP effects can drive the merging for geometrical motifs derived from different families of intermetallics through a mechanism referred to as epitaxial stabilization. Full article
(This article belongs to the Section Inorganic Crystalline Materials)
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<p>K<sub>3</sub>Au<sub>5</sub>Tl viewed as a Zintl-Laves intergrowth. Crystal structures are shown for (<b>a</b>) NaTl-type KTl (hypothetical), (<b>b</b>) MgCu<sub>2</sub>-type KAu<sub>2</sub> (hypothetical), and (<b>c</b>) K<sub>3</sub>Au<sub>5</sub>Tl, which combines features of the previous two.</p>
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<p>Flow chart of steps involved in generating a CP scheme. In this chart, the arrows are labeled with the program(s) necessary for that step and the boxes show the output obtained by the steps. The relevant section of this tutorial for each step is indicated on the right.</p>
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<p><span class="html-italic">CPpackage</span> generated .ini file for the expanded volume geometry of K<sub>3</sub>Au<sub>5</sub>Tl. The red, green, and blue boxes highlight areas that are commonly adjusted during CP analysis.</p>
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<p>Default view of the K<sub>3</sub>Au<sub>5</sub>Tl structure obtained by loading the <tt>K3Au5Tl_I0.html</tt> file in a web browser.</p>
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<p>The CP scheme of K<sub>3</sub>Au<sub>5</sub>Tl as it appears when rendered with <span class="html-italic">FigureToolWeb</span> using a template file based on the conventional unit cell and the default visualization settings.</p>
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<p>The addition of a unit cell to the <span class="html-italic">FigureToolWeb</span> plot of K<sub>3</sub>Au<sub>5</sub>Tl.</p>
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<p><span class="html-italic">FigureToolWeb</span> rendition of the CP scheme after adjustments to the <tt>CONNECTION SETTINGS</tt>.</p>
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<p>Adjustment of the atom colors in the <span class="html-italic">FigureToolWeb</span> plot of the K<sub>3</sub>Au<sub>5</sub>Tl CP scheme to match those in <a href="#crystals-11-00906-f001" class="html-fig">Figure 1</a>.</p>
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<p>The addition of Au<sub>4</sub> polyhedra to the <span class="html-italic">FigureToolWeb</span> plot of the K<sub>3</sub>Au<sub>5</sub>Tl CP scheme.</p>
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<p>Adjustment of the scale of the CP features and the scale bar.</p>
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<p>CP driving forces for the formation of K<sub>3</sub>Au<sub>5</sub>Tl from its Laves and Zintl phase parent structures. CP schemes are shown for (<b>a</b>) KTl in the NaTl type, (<b>b</b>) KAu<sub>2</sub> in the MgCu<sub>2</sub> type, and (<b>c</b>) K<sub>3</sub>Au<sub>5</sub>Tl (own type). For all structures, the CP schemes were generated with the assumption of 50% of Bader charges on all atoms (50% ionicity); schemes for other ionicity levels are given in the <a href="#app1-crystals-11-00906" class="html-app">Supporting Information</a>.</p>
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12 pages, 2621 KiB  
Article
Synthesis and Characterization of NaCd0.92Sn1.08, Na(Cd0.28Sn0.72)2 and Na2CdSn5 with Three-Dimensional Cd-Sn Frameworks
by Yuki Asamiya, Takahiro Yamada and Hisanori Yamane
Inorganics 2021, 9(3), 19; https://doi.org/10.3390/inorganics9030019 - 6 Mar 2021
Cited by 1 | Viewed by 2139
Abstract
The crystal structures of three new ternary compounds, NaCd0.92Sn1.08 (I), Na(Cd0.28Sn0.72)2 (II), and Na2CdSn5 (III) synthesized in a sodium-cadmium-tin system were determined by single-crystal X-ray analysis to be the following: (I) LiGeZn-type [...] Read more.
The crystal structures of three new ternary compounds, NaCd0.92Sn1.08 (I), Na(Cd0.28Sn0.72)2 (II), and Na2CdSn5 (III) synthesized in a sodium-cadmium-tin system were determined by single-crystal X-ray analysis to be the following: (I) LiGeZn-type structure (hexagonal, a = 4.9326(1) Å, c = 10.8508(3) Å, space group P-6m2); (II) CaIn2-type structure (hexagonal, a = 4.8458(2) Å, c = 7.7569(3) Å, P63/mmc); and (III) isotype with tI-Na2ZnSn5 (tetragonal, a = 6.4248(1) Å, c = 22.7993(5) Å, I-42d). Each compound has a three-dimensional framework structure mainly composed of four-fold coordinated Cd and Sn atoms with Na atoms located in the framework space. Elucidation of the electrical properties of the polycrystalline samples indicated that compounds (I) and (II) are polar intermetallics with metallic conductivity, and compound (III) is a semiconducting Zintl compound. These properties were consistent with the electronic structures calculated using the ordered structure models of the compounds. Full article
(This article belongs to the Section Inorganic Solid-State Chemistry)
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Graphical abstract

Graphical abstract
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<p>Powder XRD patterns of the polycrystalline samples prepared from starting materials with molar ratios of Na:Cd:Sn = 1:0.92:1.08 (<b>a</b>), 2:1.12:2.88 (<b>b</b>), and 2:1:5 (<b>c</b>) (upper patterns), and the simulated XRD patterns of isostructural compounds, LiZnGe (<b>a</b>), Li<sub>2</sub>ZnGe<sub>3</sub> (<b>b</b>), and <span class="html-italic">tI</span>-Na<sub>2</sub>ZnSn<sub>5</sub> (<b>c</b>) (lower patterns).</p>
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<p>Crystal structure of NaCd<sub>0.92</sub>Sn<sub>1.08</sub>: a general view (<b>a</b>), a structural motif of Cd/Sn2-centered Sn tetrahedron, and (<b>b</b>) Cd-Sn honeycomb sheet (<b>c</b>).</p>
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<p>Crystal structure of Na(Cd<sub>0.28</sub>Sn<sub>0.72</sub>)<sub>2</sub>: a general view (<b>a</b>), a Cd/Sn1 tetrahedron (<b>b</b>), and an arrangement of Cd/Sn1 around Na1 (<b>c</b>).</p>
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<p>Crystal structure of Na<sub>2</sub>CdSn<sub>5</sub>: a projection on the <span class="html-italic">b</span>-<span class="html-italic">c</span> plane (<b>a</b>) and an arrangement of Cd-Sn tetrahedra (<b>b</b>).</p>
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<p>Electrical resistivities of the polycrystalline samples of NaCd<sub>0.92</sub>Sn<sub>1.08</sub> (open squares), Na(Cd<sub>0.28</sub>Sn<sub>0.72</sub>)<sub>2</sub> (open triangles), and Na<sub>2</sub>CdSn<sub>5</sub> (open circles).</p>
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<p>Total and partial DOSs calculated with ordered structure models for NaCdSn (<b>a</b>), Na(Cd<sub>1/4</sub>Sn<sub>3/4</sub>)<sub>2</sub> (<b>b</b>), and Na<sub>2</sub>CdSn<sub>5</sub> (<b>c</b>).</p>
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25 pages, 3956 KiB  
Article
A Coloring Study of the Ga Richest Alkali Gallides: New In- and Hg-Containing Gallides with the RbGa7- and the K3Ga13-Type Structure
by Martha Falk, Marco Wendorff and Caroline Röhr
Crystals 2020, 10(11), 1052; https://doi.org/10.3390/cryst10111052 - 19 Nov 2020
Cited by 5 | Viewed by 1967
Abstract
The Ga-rich gallides of the alkali metals present an interesting, yet still scarcely investigated case of polyanionic cluster compounds with subtle variations in the character of their chemical bonding. In the present work, the Ga richest phases K3Ga13, RbGa [...] Read more.
The Ga-rich gallides of the alkali metals present an interesting, yet still scarcely investigated case of polyanionic cluster compounds with subtle variations in the character of their chemical bonding. In the present work, the Ga richest phases K3Ga13, RbGa7, and CsGa7, which are formally electron-precise Zintl/Wade cluster compounds, are systematically studied with respect to a partial substitution of Ga by In and Hg. The pure hepta-gallides AGa7 (A = Rb/Cs; R3¯m), which were formerly obtained from Ga-rich melts in powder form only, were crystallized from Hg-rich melts. Herein, up to 9.9/13.6% (Rb/Cs) of Ga could be substituted by In, which partly takes the four-bonded [M2] dumbbells connecting layers of Ga-icosahedra. Even though the structures are electron precise, the pseudo band gap does not coincide with the Fermi level. In the most Ga-rich potassium compound K3Ga13 (Cmcm) only 1.2% of In and 2.7% of Hg could be incorporated. Although Rb3Ga13 remains unknown, ternary variants containing 5.2 to 8.2% In could be obtained; this structure is also stabilized by a small Hg-proportion. The likewise closed-shell 3D polyanion consists of all-exo-bonded Ga-icosahedra and closo [Ga11] clusters, which are connected by two tetrahedrally four-bonded Ga and a trigonal-planar three-bonded Ga0. The aspects of the electronic structures and the site-specific Ga↦Hg/In substitution in the polyanion (“coloring”) are discussed for the title compounds and other mixed Ga/In trielides. Full article
(This article belongs to the Special Issue Compounds with Polar Metallic Bonding Volume II)
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Figure 1

Figure 1
<p>Crystal structure of RbGa<sub>7</sub>: (<b>a</b>) Perspective view of the unit cell; (<b>b</b>) cation coordination polyhedron (CCP) of Rb; (<b>c</b>) [001] projection of one icosahedra layer; (red spheres: Ga; yellow spheres: Rb; green polyhedra: [Ga<sub>12</sub>] icosahedra; yellow polyhedron: Rb<sup>+</sup> CCP (cf. <a href="#crystals-10-01052-t004" class="html-table">Table 4</a> for bond labels and interatomic distances of individual compounds; program <span class="html-small-caps">DrawXTL</span> [<a href="#B39-crystals-10-01052" class="html-bibr">39</a>]).</p>
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<p>Crystal structure of K<sub>3</sub>Ga<sub>13</sub>: Left: CCPs of the three crystallographically different K<sup>+</sup>; Center: Perspective view of the unit cell; Right: Cutout of the polyanion with the atom and bond labeling (red spheres: Ga; yellow spheres: K; green polyhedra: [Ga<sub>12</sub>] icosahedra; blue polyhedra: [Ga<sub>11</sub>] clusters; yellow polyhedra: K<sup>+</sup> CCPs; cf. <a href="#crystals-10-01052-t007" class="html-table">Table 7</a> and <a href="#crystals-10-01052-t008" class="html-table">Table 8</a> for bond labels).</p>
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<p>Total (top) and partial Ga-<span class="html-italic">s</span> (red) and Ga-<span class="html-italic">p</span> (blue) density of state (DOS) of CsGa<sub>7</sub>, together with the total DOS (tDOS) and the In(1) partial DOS (pDOS) of “CsGa<sub>6</sub>In” (thin lines).</p>
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<p>Total (top) and partial Ga-<span class="html-italic">s</span> (red) and Ga-<span class="html-italic">p</span> (blue) DOS of K<sub>3</sub>Ga<sub>13</sub>, together with the tDOS and the Hg(1) pDOS of “Rb<sub>6</sub>Ga<sub>25</sub>Hg” (thin lines).</p>
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<p>Comparison of the band structures of CsGa<sub>7</sub> ((<b>a</b>), Ga(3)-<math display="inline"><semantics> <msub> <mi>p</mi> <msup> <mi>x</mi> <mo>′</mo> </msup> </msub> </semantics></math> fatband plot) and <math display="inline"><semantics> <mi>α</mi> </semantics></math>-rhombohedral boron ((<b>b</b>), B(2)-<math display="inline"><semantics> <msub> <mi>p</mi> <msup> <mi>x</mi> <mo>′</mo> </msup> </msub> </semantics></math> fatband plot); (<b>c</b>,<b>d</b>): <span class="html-italic">E</span>-selected <math display="inline"><semantics> <mi>ρ</mi> </semantics></math> maps (−0.23 to <math display="inline"><semantics> <msub> <mi>E</mi> <mi>F</mi> </msub> </semantics></math> and −0.23 to −0.36 eV, cf. the cyan and blue line in the band structure plot (<b>a</b>)) within the 3.4.6.4. net of Ga(3)/B(2) atoms together with (<b>e</b>) a schematic illustration of the Ga(3)-<math display="inline"><semantics> <msub> <mi>p</mi> <msup> <mi>x</mi> <mo>′</mo> </msup> </msub> </semantics></math> orbital bonding contribution at the <math display="inline"><semantics> <mi>Γ</mi> </semantics></math> point (please note the local coordinate <math display="inline"><semantics> <msup> <mrow/> <mo>′</mo> </msup> </semantics></math> system for Ga(3)).</p>
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