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    On the Border between Low-Nuclearity and One-Dimensional Solids: A Unique Interplay of 1,2,4-Triazolyl-Based {Cu<sup>II</sup><sub>5</sub>(OH)<sub>2</sub>} Clusters and Mo<sup>VI</sup>-Oxide Matrix

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    A pentanuclear Cu<sup>II</sup><sub>5</sub>-hydroxo cluster possessing an unusual linear-shaped configuration was formed and crystallized under hydrothermal conditions as a result of the unique cooperation of bridging 1,2,4-triazole ligand (<i>trans</i>-1,4-cyclohexanediyl-4,4′-bi­(1,2,4-triazole) (<i>tr</i><sub>2</sub><i>cy</i>)), Mo<sup>VI</sup>-oxide, and CuSO<sub>4</sub>. This structural motif can be rationalized by assuming <i>in situ</i> generation of {Cu<sub>2</sub>Mo<sub>6</sub>O<sub>22</sub>}<sup>4–</sup> anions, which represent heteroleptic derivatives of γ-type [Mo<sub>8</sub>O<sub>26</sub>]<sup>4–</sup> further interlinked by [Cu<sub>3</sub>(OH)<sub>2</sub>]<sup>4+</sup> cations through [<i>N</i>−<i>N</i>] bridges. The framework structure of the resulting compound [Cu<sub>5</sub>(OH)<sub>2</sub>(<i>tr</i><sub>2</sub><i>cy</i>)<sub>2</sub>Mo<sub>6</sub>O<sub>22</sub>]·6H<sub>2</sub>O (<b>1</b>) is thus built up from neutral heterometallic {Cu<sub>5</sub>(OH)<sub>2</sub>Mo<sub>6</sub>O<sub>22</sub>}<sub><i>n</i></sub> layers pillared with tetradentate <i>tr</i><sub>2</sub><i>cy</i>. Quantum-chemical calculations demonstrate that the exclusive site of the parent γ-[Mo<sub>8</sub>O<sub>26</sub>]<sup>4–</sup> cluster into which Cu<sup>II</sup> inserts corresponds with the site that has the lowest defect (“MoO<sub>2</sub> vacancy”) formation energy, demonstrating how the local metal-polyoxomolybdate chemistry can express itself in the final crystal structure. Magnetic susceptibility measurements of <b>1</b> show strong antiferromagnetic coupling within the Cu<sub>5</sub> chain with exchange parameters <i>J</i><sub>1</sub> = −500(40) K (−348(28) cm<sup>–1</sup>), <i>J</i><sub>2</sub> = −350(10) K (−243(7) cm<sup>–1</sup>) and <i>g</i> = 2.32(2), χ<sup>2</sup> = 6.5 × 10<sup>–4</sup>. Periodic quantum-chemical calculations reproduce the antiferromagnetic character of <b>1</b> and connect it with an effective ligand-mediated spin coupling mechanism that comes about from the favorable structural arrangement between the Cu centers and the OH<sup>–</sup>, O<sup>2–</sup>, and <i>tr</i><sub>2</sub><i>cy</i> bridging ligands
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