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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Crystals</journal-id>
<journal-title>Crystals</journal-title>
<issn pub-type="epub">2073-4352</issn>
<publisher>
<publisher-name>Molecular Diversity Preservation International (MDPI)</publisher-name></publisher></journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3390/cryst1030078</article-id>
<article-id pub-id-type="publisher-id">crystals-01-00078</article-id>
<article-categories>
<subj-group>
<subject>Article</subject></subj-group></article-categories>
<title-group>
<article-title>Single Crystals of the Isotypic Series BaLu<sub>2</sub><italic>Ch</italic><sub>4</sub> (<italic>Ch</italic> = S, Se and Te) with CaFe<sub>2</sub>O<sub>4</sub>-Type Structure</article-title></title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Schurz</surname><given-names>Christian M.</given-names></name></contrib>
<contrib contrib-type="author">
<name><surname>Schleid</surname><given-names>Thomas</given-names></name><xref ref-type="corresp" rid="c1-crystals-01-00078"><sup>*</sup></xref></contrib>
<aff id="af1-crystals-01-00078">Institut für Anorganische Chemie, Universität Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany;</aff></contrib-group>
<author-notes>
<corresp id="c1-crystals-01-00078">
<label>*</label> Author to whom correspondence should be addressed; E-Mail: <email>schleid@iac.uni-stuttgart.de</email>; Tel.: +49-711-6856-4240; Fax: +49-711-6856-4241</corresp></author-notes>
<pub-date pub-type="collection">
<year>2011</year></pub-date>
<pub-date pub-type="epub">
<day>27</day>
<month>06</month>
<year>2011</year></pub-date>
<volume>1</volume>
<issue>3</issue>
<fpage>78</fpage>
<lpage>86</lpage>
<history>
<date date-type="received">
<day>01</day>
<month>06</month>
<year>2011</year></date>
<date date-type="rev-recd">
<day>14</day>
<month>06</month>
<year>2011</year></date>
<date date-type="accepted">
<day>21</day>
<month>06</month>
<year>2011</year></date></history>
<permissions>
<copyright-statement>© 2011 by the authors; licensee MDPI, Basel, Switzerland.</copyright-statement>
<copyright-year>2011</copyright-year>
<license>
<p>This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/3.0/).</p></license></permissions>
<abstract>
<p>Single crystals of ternary chalcogenides with the composition BaLu<sub>2</sub><italic>Ch</italic><sub>4</sub> (<italic>Ch</italic> = S, Se and Te; orthorhombic, <italic>Pnma</italic>; <italic>a</italic> = 1211.4−1353.6, <italic>b</italic> = 395.6−438.5, <italic>c</italic> = 1427.8−1593.6 pm) could be obtained after attempts to synthesize ternary lutetium(III) nitride chalcogenides using the elements (Lu and <italic>Ch</italic>) along with BaN<sub>3</sub>Cl as a nitrogen source. Their crystal structures are isotypic with CaFe<sub>2</sub>O<sub>4</sub> containing two sorts of 
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<mml:mn>1</mml:mn></mml:mmultiscripts></mml:mrow></mml:semantics></mml:math></inline-formula> chains built up of edge-linked [(Lu1)(<italic>Ch</italic>2)(<italic>Ch</italic>3)<sub>3</sub>(<italic>Ch</italic>4)<sub>2</sub>]<sup>9−</sup> and [(Lu2)(<italic>Ch</italic>1)<sub>3</sub>(<italic>Ch</italic>2)<sub>2</sub>(<italic>Ch</italic>4)]<sup>9−</sup> octahedra, respectively. A further interconnection via the chalcogenide anions (<italic>Ch</italic>3)<sup>2−</sup> and (<italic>Ch</italic>1)<sup>2−</sup> leads to double chains, where either (Lu1)<sup>3+</sup> or (Lu2)<sup>3+</sup> coordinates these chalcogenide anions as well. The three-dimensional framework 
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<mml:mn>3</mml:mn></mml:mmultiscripts></mml:mrow></mml:semantics></mml:math></inline-formula> emerges from the corner-linkage of the two kinds of double chains forming large channels apt to take up the Ba<sup>2+</sup> cations. These divalent cations exhibit eight contacts to chalcogenide anions resulting in the formation of bicapped trigonal prisms [Ba<italic>Ch</italic><sub>8</sub>]<sup>14−</sup>.</p></abstract>
<kwd-group>
<kwd>Lutetium</kwd>
<kwd>Chalcogenides</kwd>
<kwd>Barium</kwd>
<kwd>Crystal Structures</kwd></kwd-group></article-meta></front>
<body>
<sec sec-type="intro">
<label>1.</label>
<title>Introduction</title>
<p>Up until now many nitride chalcogenides of the lanthanides with the formulae <italic>Ln</italic><sub>3</sub>N<italic>Ch</italic><sub>3</sub> (<italic>Ch</italic> = S, Se) [<xref ref-type="bibr" rid="b1-crystals-01-00078">1</xref>-<xref ref-type="bibr" rid="b5-crystals-01-00078">5</xref>] and <italic>Ln</italic><sub>4</sub>N<sub>2</sub><italic>Ch</italic><sub>3</sub> (<italic>Ch</italic> = S, Se, Te) [<xref ref-type="bibr" rid="b4-crystals-01-00078">4</xref>,<xref ref-type="bibr" rid="b6-crystals-01-00078">6</xref>-<xref ref-type="bibr" rid="b10-crystals-01-00078">10</xref>] are known in the literature, mainly as compounds with the lighter representatives (<italic>Ln</italic> = La−Ho). Thus, the quest for a possible formation of nitride chalcogenides of the heaviest lanthanoid leads to formulation of the question, which nitrogen source would be most suitable for their synthesis? In order to test new educts for such experiments, the recently described barium azide chloride BaN<sub>3</sub>Cl [<xref ref-type="bibr" rid="b11-crystals-01-00078">11</xref>] offers a promising option. Unfortunately, these experiments failed in the case of lutetium and ternary chalcogenides with the general composition BaLu<sub>2</sub><italic>Ch</italic><sub>4</sub> were obtained instead of the primary target products Lu<sub>3</sub>N<italic>Ch</italic><sub>3</sub> or Lu<sub>4</sub>N<sub>2</sub><italic>Ch</italic><sub>3</sub> (<italic>Ch</italic> = S, Se, Te). This type of compound (<italic>M</italic><sup>2+</sup>)(<italic>M</italic><sup>3+</sup>)<sub>2</sub>(<italic>Ch</italic><sup>2−</sup>)<sub>4</sub> has been known for quite a long time with a huge range of combinations for chalcogenide anions (<italic>Ch</italic><sup>2−</sup>), divalent (<italic>M</italic><sup>2+</sup>) and trivalent cations (<italic>M</italic><sup>3+</sup>), even for the lanthanides as rather large trivalent species (<italic>Ln</italic><sup>3+</sup>). First studies within the systems alkaline-earth metals, rare-earth metals and chalcogens were carried out by Flahaut <italic>et al.</italic> [<xref ref-type="bibr" rid="b12-crystals-01-00078">12</xref>] in the early 1960s. Since this time further groups have published many reports dealing with this class of compounds. Although several examples for lutetium-bearing chalcogenides were characterized, the combination of barium as divalent (Ba<sup>2+</sup>) and lutetium as trivalent cation (Lu<sup>3+</sup>) was barely investigated. The so far identified compounds <italic>M</italic><sup>II</sup>Lu<sub>2</sub><italic>Ch</italic><sub>4</sub> crystallize in three different structure types: MgAl<sub>2</sub>O<sub>4</sub> (for <italic>M</italic><sup>II</sup> = Mg, Mn, Fe and <italic>Ch</italic> = S) [<xref ref-type="bibr" rid="b13-crystals-01-00078">13</xref>-<xref ref-type="bibr" rid="b17-crystals-01-00078">17</xref>], CaFe<sub>2</sub>O<sub>4</sub> (for <italic>M</italic><sup>II</sup> = Ca, Eu, Pb and <italic>Ch</italic> = O, S, Se) [<xref ref-type="bibr" rid="b18-crystals-01-00078">18</xref>-<xref ref-type="bibr" rid="b23-crystals-01-00078">23</xref>] and Th<sub>3</sub>P<sub>4</sub> (for <italic>M</italic><sup>II</sup> = Eu and <italic>Ch</italic> = S) [<xref ref-type="bibr" rid="b24-crystals-01-00078">24</xref>]. Furthermore, besides BaY<sub>2</sub>S<sub>4</sub> [<xref ref-type="bibr" rid="b25-crystals-01-00078">25</xref>] and the defective crystal structure of Ba<sub>0.9</sub>Sm<sub>2</sub>S<sub>3.9</sub> [<xref ref-type="bibr" rid="b26-crystals-01-00078">26</xref>] no other examples for sulfide-containing compounds with barium and rare-earth metal cations are known with the CaFe<sub>2</sub>O<sub>4</sub>-type arrangement hitherto, while many representatives for the compositions Ba<italic>Ln</italic><sub>2</sub>Se<sub>4</sub> [<xref ref-type="bibr" rid="b27-crystals-01-00078">27</xref>] and Ba<italic>Ln</italic><sub>2</sub>Te<sub>4</sub> [<xref ref-type="bibr" rid="b28-crystals-01-00078">28</xref>] could be synthesized. In this short paper the crystal structures of the three isotypic barium lutetium chalcogenides BaLu<sub>2</sub>Ch<sub>4</sub> (<italic>Ch</italic> = S, Se and Te) will be presented and discussed.</p></sec>
<sec sec-type="results|discussion">
<label>2.</label>
<title>Results and Discussion</title>
<p>Initially, nitride chalcogenides of the heavy lanthanoids should be synthesized by using barium azide chloride BaN<sub>3</sub>Cl as a nitrogen source and fluxing agent. Instead of the target compounds several ternary chalcogenides with the formula type Ba<italic>Ln</italic><sub>2</sub><italic>Ch</italic><sub>4</sub> (<italic>Ln</italic> = Gd, Tb, Er, Tm, Lu; <italic>Ch</italic> = S, Se and Te) could be isolated and identified by X-ray single crystal and powder diffraction after washing the products with water. Although the first attempts to synthesize almost all of the compounds Ba<italic>Ln</italic><sub>2</sub><italic>Ch</italic><sub>4</sub> were successful and described by Bugaris and Ibers [<xref ref-type="bibr" rid="b27-crystals-01-00078">27</xref>] and Narducci <italic>et al.</italic> [<xref ref-type="bibr" rid="b28-crystals-01-00078">28</xref>], the lutetium representatives were not described in their papers.</p>
<p>The ternary chalcogenides BaLu<sub>2</sub><italic>Ch</italic><sub>4</sub> crystallize in the orthorhombic system with the space group <italic>Pnma</italic> (<italic>Ch</italic> = S: <italic>a</italic> = 1211.43(6), <italic>b</italic> = 395.56(2), <italic>c</italic> = 1427.81(4) pm; <italic>Ch</italic> = Se: <italic>a</italic> = 1261.32(4), <italic>b</italic> = 410.89(1), <italic>c</italic> = 1487.74(4) pm; <italic>Ch</italic> = Te: <italic>a</italic> = 1353.58(8), <italic>b</italic> = 438.47(3), <italic>c</italic> = 1593.62(8) pm) and four formula units per unit cell representing the CaFe<sub>2</sub>O<sub>4</sub>-structure type (see <xref ref-type="table" rid="t1-crystals-01-00078">Table 1</xref> for atomic coordinates). All seven crystallographically independent atoms reside at <italic>Wyckoff</italic> positions 4<italic>c</italic> with the site symmetry <italic>m</italic>. The two trivalent lutetium cations are surrounded by six chalcogenide anions forming slightly distorted [(Lu1)(<italic>Ch</italic>2)(<italic>Ch</italic>3)<sub>3</sub>(<italic>Ch</italic>4)<sub>2</sub>]<sup>9−</sup> and [(Lu2)(<italic>Ch</italic>1)<sub>3</sub>(<italic>Ch</italic>2)<sub>2</sub>(<italic>Ch</italic>4)]<sup>9−</sup> octahedra (<xref ref-type="fig" rid="f1-crystals-01-00078">Figure 1</xref>, <italic>mid</italic> and <italic>right</italic>), while the divalent barium cations are coordinated by eight chalcogenide anions in the shape of bicapped trigonal prisms (<xref ref-type="fig" rid="f1-crystals-01-00078">Figure 1</xref>, <italic>left</italic>). Each of the four crystallographically different chalcogenide anions shows three contacts to lutetium and just two bonds to barium. The polyhedra can be described as more or less distorted square pyramids for (<italic>Ch</italic>1)<sup>2−</sup>, (<italic>Ch</italic>2)<sup>2−</sup> and (<italic>Ch</italic>3)<sup>2−</sup> as well as distorted trigonal bipyramids for (<italic>Ch</italic>4)<sup>2−</sup>.</p>
<p>All bond lengths between Ba<sup>2+</sup> and its eight <italic>Ch</italic><sup>2−</sup> ligands (315−333 pm for <italic>Ch</italic> = S, 327−349 pm for <italic>Ch</italic> = Se, and 350−367 pm for <italic>Ch</italic> = Te, for details see <xref ref-type="table" rid="t2-crystals-01-00078">Table 2</xref>) are similar to those obtained for the other representatives of the ternary barium sulfides Ba<italic>Ln</italic><sub>2</sub>S<sub>4</sub> (318−343 pm for <italic>Ln</italic> = Sm, Y) [<xref ref-type="bibr" rid="b25-crystals-01-00078">25</xref>,<xref ref-type="bibr" rid="b26-crystals-01-00078">26</xref>], selenides Ba<italic>Ln</italic><sub>2</sub>Se<sub>4</sub> (327–346 pm for <italic>Ln</italic> = Er−Yb) [<xref ref-type="bibr" rid="b28-crystals-01-00078">28</xref>] and tellurides Ba<italic>Ln</italic><sub>2</sub>Te<sub>4</sub> (350−375 pm for <italic>Ln</italic> = Sm−Tm, Y) [<xref ref-type="bibr" rid="b27-crystals-01-00078">27</xref>]. Comparable short distances between Lu<sup>3+</sup> and <italic>Ch</italic><sup>2−</sup> as in the BaLu<sub>2</sub><italic>Ch</italic><sub>4</sub> series (264−272 pm for <italic>Ch</italic> = S, 277−285 pm for <italic>Ch</italic> = Se, 298−306 pm for <italic>Ch</italic> = Te) can also be observed in Lu<sub>2</sub>S<sub>3</sub> (E-type: 264−274 pm) [<xref ref-type="bibr" rid="b30-crystals-01-00078">30</xref>], CaLu<sub>2</sub>S4 (265−277 pm) [<xref ref-type="bibr" rid="b19-crystals-01-00078">19</xref>], Lu<sub>2</sub>Se<sub>3</sub> (Z-type: 279−286 pm) [<xref ref-type="bibr" rid="b31-crystals-01-00078">31</xref>], EuLu<sub>2</sub>Se<sub>4</sub> (275−282 pm) [<xref ref-type="bibr" rid="b21-crystals-01-00078">21</xref>], CsCdLuTe<sub>3</sub> (307−311 pm) [<xref ref-type="bibr" rid="b32-crystals-01-00078">32</xref>] and CsCuLu<sub>2</sub>Te<sub>4</sub> (297–314 pm) [<xref ref-type="bibr" rid="b33-crystals-01-00078">33</xref>]. A periodic effect regarding ionic radii and volume increments can be stated by a comparison of their influence on the molar volumes <italic>V</italic><sub>m</sub> of the title compounds in the order of increasing radii of the chalcogenide anions: sulfide (<italic>r</italic> = 184 pm), selenide (<italic>r</italic> = 198 pm) and telluride (<italic>r</italic> = 221 pm) [<xref ref-type="bibr" rid="b34-crystals-01-00078">34</xref>]. The difference of the volume increments of these chalcogenide anions (16 cm<sup>3</sup>/mol between 4 × S<sup>2−</sup> and 4 × Se<sup>2−</sup> as well as 30 cm<sup>3</sup>/mol between 4 × Se<sup>2−</sup> and 4 × Te<sup>2−</sup>) [<xref ref-type="bibr" rid="b35-crystals-01-00078">35</xref>] are very similar to the obtained <italic>V</italic><sub>m</sub> differences of the ternary compounds (13 cm<sup>3</sup>/mol between BaLu<sub>2</sub>S<sub>4</sub> and BaLu<sub>2</sub>Se<sub>4</sub>, 26 cm<sup>3</sup>/mol between BaLu<sub>2</sub>Se<sub>4</sub> and BaLu<sub>2</sub>Te<sub>4</sub>).</p>
<p>The different surrounding of the two crystallographically distinct lutetium cations is manifested in the crystal structure as the [(Lu1)(<italic>Ch</italic>2)(<italic>Ch</italic>3)<sub>3</sub>(<italic>Ch</italic>4)<sub>2</sub>]<sup>9−</sup> and [(Lu2)(<italic>Ch</italic>1)<sub>3</sub>(<italic>Ch</italic>2)<sub>2</sub>(<italic>Ch</italic>4)]<sup>9−</sup> octahedra form two different kinds of 
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<mml:mn>1</mml:mn></mml:mmultiscripts></mml:mrow></mml:semantics></mml:math></inline-formula> chains by edge linkage. Interestingly, the chalcogenide anions (<italic>Ch</italic>3)<sup>2−</sup> connect two 
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<mml:mn>8</mml:mn>
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<mml:mn>1</mml:mn></mml:mmultiscripts></mml:mrow></mml:semantics></mml:math></inline-formula> strands to double chains running parallel to the [010] direction (<xref ref-type="fig" rid="f2-crystals-01-00078">Figure 2</xref>, <italic>left</italic>). The same holds for the (<italic>Ch</italic>1)<sup>2−</sup> anions in the case of the (Lu2)<sup>2+</sup>-bearing congeners (<xref ref-type="fig" rid="f2-crystals-01-00078">Figure 2</xref>, <italic>right</italic>) and so, besides two extra Ba<sup>2+</sup> contacts for all chalcogenide anions, (<italic>Ch</italic>1)<sup>2−</sup> and (<italic>Ch</italic>3)<sup>2−</sup> exhibit three contacts to only one sort of trivalent lutetium cation, while the (<italic>Ch</italic>2)<sup>2−</sup> and (<italic>Ch</italic>4)<sup>2−</sup> anions are bonded to both types of Lu<sup>3+</sup>. Both kinds of double chains are finally corner-connected according to the pattern in <xref ref-type="fig" rid="f3-crystals-01-00078">Figure 3</xref>, forming a three-dimensional framework 
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<mml:msub>
<mml:mtext>Lu</mml:mtext>
<mml:mn>2</mml:mn></mml:msub>
<mml:msub>
<mml:mtext mathvariant="italic">Ch</mml:mtext>
<mml:mn>4</mml:mn></mml:msub>
<mml:mo stretchy="false">]</mml:mo></mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>−</mml:mo></mml:mrow></mml:msup>
<mml:mo stretchy="false">}</mml:mo></mml:mrow>
<mml:mprescripts/>
<mml:mo>∞</mml:mo>
<mml:mn>3</mml:mn></mml:mmultiscripts></mml:mrow></mml:semantics></mml:math></inline-formula> with channels that are occupied by the octacoordinated barium cations.</p></sec>
<sec>
<label>3.</label>
<title>Experimental Section</title>
<p>Single crystals of BaLu<sub>2</sub>S<sub>4</sub>, BaLu<sub>2</sub>Se<sub>4</sub> and BaLu<sub>2</sub>Te<sub>4</sub> were accidentally (but reproducible) obtained after heating mixtures of lutetium metal, its trichloride, chalcogen and barium azide chloride in molar ratios of 26:2:27:6 designed to produce Lu<sub>3</sub>N<italic>Ch</italic><sub>3</sub> [<xref ref-type="bibr" rid="b1-crystals-01-00078">1</xref>-<xref ref-type="bibr" rid="b5-crystals-01-00078">5</xref>] or Lu<sub>4</sub>N<sub>2</sub><italic>Ch</italic><sub>3</sub> [<xref ref-type="bibr" rid="b4-crystals-01-00078">4</xref>,<xref ref-type="bibr" rid="b6-crystals-01-00078">6</xref>-<xref ref-type="bibr" rid="b10-crystals-01-00078">10</xref>] along with an excess of barium chloride as flux at 920 °C for ten days.</p>
<p>All three water- and air-stable products exhibit the shape of needles with different colors (BaLu<sub>2</sub>S<sub>4</sub>: colorless, BaLu<sub>2</sub>Se<sub>4</sub>: dark red, BaLu<sub>2</sub>Te<sub>4</sub>: black) and were characterized by single crystal X-ray diffraction (κ-CCD, Bruker-Nonius, Mo-Kα radiation with graphite monochromator: λ = 71.01 pm) at room temperature. Essential information about the structure solutions and refinements for the BaLu<sub>2</sub><italic>Ch</italic><sub>4</sub> series (<italic>Ch</italic> = S, Se, Te) by using the program package SHELXS-97 and SHELX-97 [<xref ref-type="bibr" rid="b36-crystals-01-00078">36</xref>] as well as X-SHAPE for correction for absorption [<xref ref-type="bibr" rid="b37-crystals-01-00078">37</xref>] and scattering factors from the International Tables, Vol. C [<xref ref-type="bibr" rid="b38-crystals-01-00078">38</xref>], is available in <xref ref-type="table" rid="t3-crystals-01-00078">Table 3</xref>. Further details may be obtained from the Fachinformationszentrum (FIZ) Karlsruhe, D-76344 Eggenstein-Leopoldshafen, Germany (Fax: (+49)7247-808-666, E-mail: <email>crysdata@fizkarlsruhe.de</email>), on quoting the depository numbers CSD-422891 (BaLu<sub>2</sub>S<sub>4</sub>), CSD-422892 (BaLu<sub>2</sub>Se<sub>4</sub>) and CSD-422893 (BaLu<sub>2</sub>Te<sub>4</sub>).</p></sec>
<sec sec-type="conclusions">
<label>4.</label>
<title>Conclusions</title>
<p>The crystal structures of all three barium lutetium chalcogenides BaLu<sub>2</sub><italic>Ch</italic><sub>4</sub> (<italic>Ch</italic> = S, Se and Te) exhibit a CaFe<sub>2</sub>O<sub>4</sub>-type arrangement. As a particularity, the two crystallographically distinct trivalent lutetium cations can be found in two different types of 
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<mml:mo stretchy="false">}</mml:mo></mml:mrow>
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<mml:mo>∞</mml:mo>
<mml:mn>1</mml:mn></mml:mmultiscripts></mml:mrow></mml:semantics></mml:math></inline-formula> chains. These first build double chains by edge-linkage, which are corner-connected further to form a three-dimensional 
<inline-formula>
<mml:math id="mm7" display="inline">
<mml:semantics id="sm7">
<mml:mrow>
<mml:mmultiscripts>
<mml:mrow>
<mml:mo stretchy="false">{</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:msub>
<mml:mtext>Lu</mml:mtext>
<mml:mn>2</mml:mn></mml:msub>
<mml:msub>
<mml:mtext mathvariant="italic">Ch</mml:mtext>
<mml:mn>4</mml:mn></mml:msub>
<mml:mo stretchy="false">]</mml:mo></mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>−</mml:mo></mml:mrow></mml:msup>
<mml:mo stretchy="false">}</mml:mo></mml:mrow>
<mml:mprescripts/>
<mml:mo>∞</mml:mo>
<mml:mn>3</mml:mn></mml:mmultiscripts></mml:mrow></mml:semantics></mml:math></inline-formula> framework apt to embed divalent barium cations. It should be noted that these compounds were obtained in order to produce lutetium nitride chalcogenides (Lu<sub>3</sub>N<italic>Ch</italic><sub>3</sub> or Lu<sub>4</sub>N<sub>2</sub><italic>Ch</italic><sub>3</sub>) by using barium azide chloride as flux and a nitrogen source, which leads to the assumption that this starting material is not suitable as a source of nitrogen for these kinds of synthetic experiments.</p></sec></body>
<back>
<sec sec-type="display-objects">
<title>Figures and Tables</title>
<fig id="f1-crystals-01-00078" position="float">
<label>Figure 1.</label>
<caption>
<p>View at the coordination sphere of the Ba<sup>2+</sup> (<italic>left</italic>), (Lu1)<sup>3+</sup> (<italic>mid</italic>) and (Lu2)<sup>3+</sup> cations (<italic>right</italic>) in the crystal structure of the BaLu<sub>2</sub><italic>Ch</italic><sub>4</sub> series (<italic>Ch</italic> = S, Se and Te).</p></caption>
<graphic xlink:href="crystals-01-00078f1.gif"/></fig>
<fig id="f2-crystals-01-00078" position="float">
<label>Figure 2.</label>
<caption>
<p>View of the 
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<mml:semantics id="sm8">
<mml:mrow>
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<mml:msup>
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<mml:mtext>Lu</mml:mtext>
<mml:mn>1</mml:mn>
<mml:mo stretchy="false">)</mml:mo>
<mml:msubsup>
<mml:mtext mathvariant="italic">Ch</mml:mtext>
<mml:mrow>
<mml:mn>4</mml:mn>
<mml:mo>/</mml:mo>
<mml:mn>4</mml:mn></mml:mrow>
<mml:mi>e</mml:mi></mml:msubsup>
<mml:mspace width="0.2em"/>
<mml:msubsup>
<mml:mtext mathvariant="italic">Ch</mml:mtext>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>/</mml:mo>
<mml:mn>2</mml:mn></mml:mrow>
<mml:mi>t</mml:mi></mml:msubsup>
<mml:mo stretchy="false">]</mml:mo></mml:mrow>
<mml:mrow>
<mml:mn>8</mml:mn>
<mml:mo>−</mml:mo></mml:mrow></mml:msup>
<mml:mo stretchy="false">}</mml:mo></mml:mrow>
<mml:mprescripts/>
<mml:mo>∞</mml:mo>
<mml:mn>1</mml:mn></mml:mmultiscripts></mml:mrow></mml:semantics></mml:math></inline-formula> (<italic>left</italic>) and 
<inline-formula>
<mml:math id="mm9" display="inline">
<mml:semantics id="sm9">
<mml:mrow>
<mml:mmultiscripts>
<mml:mrow>
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<mml:mrow>
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<mml:mtext>Lu</mml:mtext>
<mml:mn>2</mml:mn>
<mml:mo stretchy="false">)</mml:mo>
<mml:msubsup>
<mml:mtext mathvariant="italic">Ch</mml:mtext>
<mml:mrow>
<mml:mn>4</mml:mn>
<mml:mo>/</mml:mo>
<mml:mn>4</mml:mn></mml:mrow>
<mml:mi>e</mml:mi></mml:msubsup>
<mml:mspace width="0.2em"/>
<mml:msubsup>
<mml:mtext mathvariant="italic">Ch</mml:mtext>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>/</mml:mo>
<mml:mn>2</mml:mn></mml:mrow>
<mml:mi>t</mml:mi></mml:msubsup>
<mml:mo stretchy="false">]</mml:mo></mml:mrow>
<mml:mrow>
<mml:mn>8</mml:mn>
<mml:mo>−</mml:mo></mml:mrow></mml:msup>
<mml:mo stretchy="false">}</mml:mo></mml:mrow>
<mml:mprescripts/>
<mml:mo>∞</mml:mo>
<mml:mn>1</mml:mn></mml:mmultiscripts></mml:mrow></mml:semantics></mml:math></inline-formula> chains (<italic>right</italic>), which both form double chains (<italic>below</italic>) of edge-connected [Lu<italic>Ch</italic><sub>6</sub>]<sup>9−</sup> octahedra in the crystal structure of the BaLu<sub>2</sub><italic>Ch</italic><sub>4</sub> series (<italic>Ch</italic> = S, Se and Te).</p></caption>
<graphic xlink:href="crystals-01-00078f2.gif"/></fig>
<fig id="f3-crystals-01-00078" position="float">
<label>Figure 3.</label>
<caption>
<p>View of the crystal structure of the BaLu<sub>2</sub><italic>Ch</italic><sub>4</sub> series (<italic>Ch</italic> = S, Se and Te), where the 
<inline-formula>
<mml:math id="mm10" display="inline">
<mml:semantics id="sm10">
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<mml:mn>2</mml:mn></mml:msub>
<mml:msub>
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<mml:mn>4</mml:mn></mml:msub>
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<mml:mrow>
<mml:mn>2</mml:mn>
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<mml:mo stretchy="false">}</mml:mo></mml:mrow>
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<mml:mo>∞</mml:mo>
<mml:mn>3</mml:mn></mml:mmultiscripts></mml:mrow></mml:semantics></mml:math></inline-formula> framework with channels is filled up by barium cations.</p></caption>
<graphic xlink:href="crystals-01-00078f3.gif"/></fig>
<table-wrap id="t1-crystals-01-00078" position="float">
<label>Table 1.</label>
<caption>
<p>Atomic coordinates and equivalent isotropic displacement coefficients (<italic>U</italic><sub>eq</sub>/pm<sup>2</sup>) for the three BaLu<sub>2</sub><italic>Ch</italic><sub>4</sub> representatives (<italic>Ch</italic> = S, Se and Te).</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Atom</th>
<th align="center" valign="top"><italic>Wyckoff</italic> site</th>
<th align="left" valign="top"><italic>x</italic>/<italic>a</italic></th>
<th align="left" valign="top"><italic>y</italic>/<italic>b</italic></th>
<th align="left" valign="top"><italic>z</italic>/<italic>c</italic></th>
<th align="left" valign="top">U<sub>eq</sub><xref ref-type="table-fn" rid="tfn1-crystals-01-00078">a)</xref></th>
<th align="left" valign="top"><italic>Ch</italic></th></tr></thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="3">Ba</td>
<td align="center" valign="top" rowspan="3">4<italic>c</italic></td>
<td align="left" valign="top">0.24128(12)</td>
<td align="left" valign="top">¼</td>
<td align="left" valign="top">0.66285(11)</td>
<td align="left" valign="top">154(4)</td>
<td align="left" valign="top">S</td></tr>
<tr>
<td align="left" valign="top">0.23994(5)</td>
<td align="left" valign="top">¼</td>
<td align="left" valign="top">0.66557(4)</td>
<td align="left" valign="top">64(2)</td>
<td align="left" valign="top">Se</td></tr>
<tr>
<td align="left" valign="top">0.23844(13)</td>
<td align="left" valign="top">¼</td>
<td align="left" valign="top">0.66986(11)</td>
<td align="left" valign="top">143(4)</td>
<td align="left" valign="top">Te</td></tr>
<tr>
<td valign="bottom" colspan="7">
<hr/></td></tr>
<tr>
<td align="left" valign="top" rowspan="3">Lu1</td>
<td align="center" valign="top" rowspan="3">4<italic>c</italic></td>
<td align="left" valign="top">0.07937(8)</td>
<td align="left" valign="top">¼</td>
<td align="left" valign="top">0.39920(7)</td>
<td align="left" valign="top">140(3)</td>
<td align="left" valign="top">S</td></tr>
<tr>
<td align="left" valign="top">0.07980(4)</td>
<td align="left" valign="top">¼</td>
<td align="left" valign="top">0.40077(3)</td>
<td align="left" valign="top">47(1)</td>
<td align="left" valign="top">Se</td></tr>
<tr>
<td align="left" valign="top">0.08131(9)</td>
<td align="left" valign="top">¼</td>
<td align="left" valign="top">0.40350(7)</td>
<td align="left" valign="top">137(3)</td>
<td align="left" valign="top">Te</td></tr>
<tr>
<td valign="bottom" colspan="7">
<hr/></td></tr>
<tr>
<td align="left" valign="top" rowspan="3">Lu2</td>
<td align="center" valign="top" rowspan="3">4<italic>c</italic></td>
<td align="left" valign="top">0.56482(8)</td>
<td align="left" valign="top">¼</td>
<td align="left" valign="top">0.60849(8)</td>
<td align="left" valign="top">146(3)</td>
<td align="left" valign="top">S</td></tr>
<tr>
<td align="left" valign="top">0.56246(4)</td>
<td align="left" valign="top">¼</td>
<td align="left" valign="top">0.60870(3)</td>
<td align="left" valign="top">49(1)</td>
<td align="left" valign="top">Se</td></tr>
<tr>
<td align="left" valign="top">0.55812(9)</td>
<td align="left" valign="top">¼</td>
<td align="left" valign="top">0.60972(7)</td>
<td align="left" valign="top">130(3)</td>
<td align="left" valign="top">Te</td></tr>
<tr>
<td valign="bottom" colspan="7">
<hr/></td></tr>
<tr>
<td align="left" valign="top" rowspan="3"><italic>Ch</italic>1</td>
<td align="center" valign="top" rowspan="3">4<italic>c</italic></td>
<td align="left" valign="top">0.0822(5)</td>
<td align="left" valign="top">¼</td>
<td align="left" valign="top">0.0759(4)</td>
<td align="left" valign="top">142(12)</td>
<td align="left" valign="top">S</td></tr>
<tr>
<td align="left" valign="top">0.08590(7)</td>
<td align="left" valign="top">¼</td>
<td align="left" valign="top">0.07604(6)</td>
<td align="left" valign="top">45(2)</td>
<td align="left" valign="top">Se</td></tr>
<tr>
<td align="left" valign="top">0.09048(14)</td>
<td align="left" valign="top">¼</td>
<td align="left" valign="top">0.07529(12)</td>
<td align="left" valign="top">125(4)</td>
<td align="left" valign="top">Te</td></tr>
<tr>
<td valign="bottom" colspan="7">
<hr/></td></tr>
<tr>
<td align="left" valign="top" rowspan="3"><italic>Ch</italic>2</td>
<td align="center" valign="top" rowspan="3">4<italic>c</italic></td>
<td align="left" valign="top">0.2929(5)</td>
<td align="left" valign="top">¼</td>
<td align="left" valign="top">0.3412(5)</td>
<td align="left" valign="top">149(12)</td>
<td align="left" valign="top">S</td></tr>
<tr>
<td align="left" valign="top">0.29430(7)</td>
<td align="left" valign="top">¼</td>
<td align="left" valign="top">0.34133(6)</td>
<td align="left" valign="top">61(2)</td>
<td align="left" valign="top">Se</td></tr>
<tr>
<td align="left" valign="top">0.29558(14)</td>
<td align="left" valign="top">¼</td>
<td align="left" valign="top">0.34259(12)</td>
<td align="left" valign="top">140(4)</td>
<td align="left" valign="top">Te</td></tr>
<tr>
<td valign="bottom" colspan="7">
<hr/></td></tr>
<tr>
<td align="left" valign="top" rowspan="3"><italic>Ch</italic>3</td>
<td align="center" valign="top" rowspan="3">4<italic>c</italic></td>
<td align="left" valign="top">0.3766(5)</td>
<td align="left" valign="top">¼</td>
<td align="left" valign="top">0.0236(4)</td>
<td align="left" valign="top">132(12)</td>
<td align="left" valign="top">S</td></tr>
<tr>
<td align="left" valign="top">0.37538(7)</td>
<td align="left" valign="top">¼</td>
<td align="left" valign="top">0.02521(6)</td>
<td align="left" valign="top">46(2)</td>
<td align="left" valign="top">Se</td></tr>
<tr>
<td align="left" valign="top">0.37455(14)</td>
<td align="left" valign="top">¼</td>
<td align="left" valign="top">0.02823(12)</td>
<td align="left" valign="top">125(4)</td>
<td align="left" valign="top">Te</td></tr>
<tr>
<td valign="bottom" colspan="7">
<hr/></td></tr>
<tr>
<td align="left" valign="top" rowspan="3"><italic>Ch</italic>4</td>
<td align="center" valign="top" rowspan="3">4<italic>c</italic></td>
<td align="left" valign="top">0.4772(5)</td>
<td align="left" valign="top">¼</td>
<td align="left" valign="top">0.7830(4)</td>
<td align="left" valign="top">137(12)</td>
<td align="left" valign="top">S</td></tr>
<tr>
<td align="left" valign="top">0.47488(7)</td>
<td align="left" valign="top">¼</td>
<td align="left" valign="top">0.78338(6)</td>
<td align="left" valign="top">58(2)</td>
<td align="left" valign="top">Se</td></tr>
<tr>
<td align="left" valign="top">0.47228(14)</td>
<td align="left" valign="top">¼</td>
<td align="left" valign="top">0.78407(12)</td>
<td align="left" valign="top">138(4)</td>
<td align="left" valign="top">Te</td></tr></tbody></table>
<table-wrap-foot><fn id="tfn1-crystals-01-00078">
<label>a)</label>
<p><italic>U</italic><sub>eq</sub> = ⅓(<italic>U</italic><sub>11</sub> + <italic>U</italic><sub>22</sub> + <italic>U</italic><sub>33</sub>) [<xref ref-type="bibr" rid="b29-crystals-01-00078">29</xref>].</p></fn></table-wrap-foot></table-wrap>
<table-wrap id="t2-crystals-01-00078" position="float">
<label>Table 2.</label>
<caption>
<p>Selected internuclear distances (<italic>d</italic>/pm) for the three BaLu<sub>2</sub><italic>Ch</italic><sub>4</sub> representatives (<italic>Ch</italic> = S, Se and Te).</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top"/>
<th align="left" valign="top"/>
<th align="left" valign="top"/>
<th align="left" valign="top"><italic>Ch</italic> = S</th>
<th align="left" valign="top"><italic>Ch</italic> = Se</th>
<th align="left" valign="top"><italic>Ch</italic> = Te</th></tr></thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="5">Ba</td>
<td align="left" valign="top">− <italic>Ch</italic>3</td>
<td align="left" valign="top">(2×)</td>
<td align="left" valign="top">314.7(5)</td>
<td align="left" valign="top">327.1(1)</td>
<td align="left" valign="top">349.8(2)</td></tr>
<tr>
<td align="left" valign="top">− <italic>Ch</italic>1</td>
<td align="left" valign="top">(2×)</td>
<td align="left" valign="top">316.7(5)</td>
<td align="left" valign="top">329.0(1)</td>
<td align="left" valign="top">352.7(2)</td></tr>
<tr>
<td align="left" valign="top">− <italic>Ch</italic>2</td>
<td align="left" valign="top">(2×)</td>
<td align="left" valign="top">325.1(5)</td>
<td align="left" valign="top">335.3(1)</td>
<td align="left" valign="top">354.9(2)</td></tr>
<tr>
<td align="left" valign="top">− <italic>Ch</italic>4</td>
<td align="left" valign="top">(1×)</td>
<td align="left" valign="top">329.1(6)</td>
<td align="left" valign="top">342.8(1)</td>
<td align="left" valign="top">365.1(3)</td></tr>
<tr>
<td align="left" valign="top">− <italic>Ch</italic>4′</td>
<td align="left" valign="top">(1×)</td>
<td align="left" valign="top">333.3(6)</td>
<td align="left" valign="top">344.3(1)</td>
<td align="left" valign="top">367.7(3)</td></tr>
<tr>
<td valign="bottom" colspan="6">
<hr/></td></tr>
<tr>
<td align="left" valign="top" rowspan="4">Lu1</td>
<td align="left" valign="top">− <italic>Ch</italic>4</td>
<td align="left" valign="top">(2×)</td>
<td align="left" valign="top">267.2(4)</td>
<td align="left" valign="top">278.3(1)</td>
<td align="left" valign="top">299.3(1)</td></tr>
<tr>
<td align="left" valign="top">− <italic>Ch</italic>3</td>
<td align="left" valign="top">(1×)</td>
<td align="left" valign="top">269.2(6)</td>
<td align="left" valign="top">280.4(1)</td>
<td align="left" valign="top">300.3(2)</td></tr>
<tr>
<td align="left" valign="top">− <italic>Ch</italic>3′</td>
<td align="left" valign="top">(2×)</td>
<td align="left" valign="top">271.1(4)</td>
<td align="left" valign="top">282.3(1)</td>
<td align="left" valign="top">301.9(1)</td></tr>
<tr>
<td align="left" valign="top">− <italic>Ch</italic>2</td>
<td align="left" valign="top">(1×)</td>
<td align="left" valign="top">271.7(6)</td>
<td align="left" valign="top">284.6(1)</td>
<td align="left" valign="top">305.8(2)</td></tr>
<tr>
<td valign="bottom" colspan="6">
<hr/></td></tr>
<tr>
<td align="left" valign="top" rowspan="4">Lu2</td>
<td align="left" valign="top">− <italic>Ch</italic>1</td>
<td align="left" valign="top">(1×)</td>
<td align="left" valign="top">264.0(6)</td>
<td align="left" valign="top">276.4(1)</td>
<td align="left" valign="top">298.1(2)</td></tr>
<tr>
<td align="left" valign="top">− <italic>Ch</italic>4</td>
<td align="left" valign="top">(1×)</td>
<td align="left" valign="top">270.8(6)</td>
<td align="left" valign="top">282.1(1)</td>
<td align="left" valign="top">301.2(2)</td></tr>
<tr>
<td align="left" valign="top">− <italic>Ch</italic> 1′</td>
<td align="left" valign="top">(2×)</td>
<td align="left" valign="top">270.2(4)</td>
<td align="left" valign="top">282.4(1)</td>
<td align="left" valign="top">302.5(2)</td></tr>
<tr>
<td align="left" valign="top">− <italic>Ch</italic>2</td>
<td align="left" valign="top">(2×)</td>
<td align="left" valign="top">272.0(4)</td>
<td align="left" valign="top">283.5(1)</td>
<td align="left" valign="top">305.1(2)</td></tr></tbody></table></table-wrap>
<table-wrap id="t3-crystals-01-00078" position="float">
<label>Table 3.</label>
<caption>
<p>Crystallographic data for the three BaLu<sub>2</sub><italic>Ch</italic><sub>4</sub> representatives (<italic>Ch</italic> = S, Se and Te).</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">BaLu<sub>2</sub><italic>Ch</italic><sub>4</sub></th>
<th align="left" valign="top"><italic>Ch</italic> = S</th>
<th align="left" valign="top"><italic>Ch</italic> = Se</th>
<th align="left" valign="top"><italic>Ch</italic> = Te</th></tr></thead>
<tbody>
<tr>
<td align="left" valign="top">Crystal system</td>
<td align="left" valign="top">orthorhombic</td>
<td align="left" valign="top">orthorhombic</td>
<td align="left" valign="top">Orthorhombic</td></tr>
<tr>
<td align="left" valign="top">Space group</td>
<td align="left" valign="top"><italic>Pnma</italic></td>
<td align="left" valign="top"><italic>Pnma</italic></td>
<td align="left" valign="top"><italic>Pnma</italic></td></tr>
<tr>
<td align="left" valign="top"><italic>a</italic> (pm)</td>
<td align="left" valign="top">1211.43(8)</td>
<td align="left" valign="top">1261.32(8)</td>
<td align="left" valign="top">1353.58(8)</td></tr>
<tr>
<td align="left" valign="top"><italic>b</italic> (pm)</td>
<td align="left" valign="top">395.56(3)</td>
<td align="left" valign="top">410.89(3)</td>
<td align="left" valign="top">438.47(3)</td></tr>
<tr>
<td align="left" valign="top"><italic>c</italic> (pm)</td>
<td align="left" valign="top">1427.81(9)</td>
<td align="left" valign="top">1487.74(9)</td>
<td align="left" valign="top">1593.62(9)</td></tr>
<tr>
<td align="left" valign="top"><italic>V</italic><sub>m</sub> (cm<sup>3</sup>/mol)/<italic>D</italic><sub>x</sub> (g/cm<sup>3</sup>)</td>
<td align="left" valign="top">103.007/5.975</td>
<td align="left" valign="top">116.081/6.918</td>
<td align="left" valign="top">142.394/7.006</td></tr>
<tr>
<td align="left" valign="top">Formula units (<italic>Z</italic>)</td>
<td align="left" valign="top">4</td>
<td align="left" valign="top">4</td>
<td align="left" valign="top">4</td></tr>
<tr>
<td align="left" valign="top"><italic>F</italic>(000)/θ<sub>max</sub></td>
<td align="left" valign="top">1048/28.2</td>
<td align="left" valign="top">1336/28.2</td>
<td align="left" valign="top">1624/28.2</td></tr>
<tr>
<td align="left" valign="top">±<italic>h</italic>/±<italic>k</italic>/±<italic>l</italic></td>
<td align="left" valign="top">1 6/5/1 8</td>
<td align="left" valign="top">16/5 /19</td>
<td align="left" valign="top">17/5/21</td></tr>
<tr>
<td align="left" valign="top">Reflections (independent)</td>
<td align="left" valign="top">12319 (955)</td>
<td align="left" valign="top">10976 (1087)</td>
<td align="left" valign="top">17321 (1312)</td></tr>
<tr>
<td align="left" valign="top">(<italic>μ</italic>/mm<sup>−1</sup>)</td>
<td align="left" valign="top">35.42</td>
<td align="left" valign="top">49.23</td>
<td align="left" valign="top">36.83</td></tr>
<tr>
<td align="left" valign="top"><italic>R</italic><sub>int</sub>/<italic>R</italic><sub>σ</sub></td>
<td align="left" valign="top">0.078/0.047</td>
<td align="left" valign="top">0.062/0.036</td>
<td align="left" valign="top">0.094/0.061</td></tr>
<tr>
<td align="left" valign="top"><italic>R</italic><sub>1</sub>/w<italic>R</italic><sub>2</sub></td>
<td align="left" valign="top">0.074/0.136</td>
<td align="left" valign="top">0.030/0.058</td>
<td align="left" valign="top">0.090/0.103</td></tr>
<tr>
<td align="left" valign="top"><italic>GooF</italic></td>
<td align="left" valign="top">1.186</td>
<td align="left" valign="top">1.053</td>
<td align="left" valign="top">1.181</td></tr></tbody></table></table-wrap></sec>
<ack>
<p>The authors want to thank <italic>Raphael Marx</italic>, <italic>Alexander Schwenger</italic> and <italic>Pia Talmon-Gros</italic> for their practical work as well as <italic>Falk Lissner</italic> for the X-ray diffraction data collection. This research was supported by the federal state of Baden-Württemberg (Stuttgart) and the Deutsche Forschungsgemeinschaft (DFG, Bonn).</p></ack>
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