The structural and magnetic properties of the two-dimensional spin-$1/2$ depleted-kagome compound ${\mathrm{Cu}}_7{\left({\mathrm{TeO}}_3\right)}_2{\left({\mathrm{SO}}_4\right)}_2{\left(\mathrm{OH}\right)}_6$ are investigated using x-ray diffraction, magnetization, heat capacity, and ${}^1\mathrm{H}$ Nuclear Magnetic Resonance (NMR) measurements. From the analysis of magnetic susceptibility, we found a large Curie-Weiss temperature $[{\theta }_{\mathrm{CW}}=-50\left(2\right)\mathrm{K}]$ and the coexistence of antiferromagnetic and ferromagnetic interactions. The value of ${\theta }_{\mathrm{CW}}$ gives an estimate of the average nearest-neighbor antiferromagnetic interaction of $J/k_{\mathrm{B}}\simeq 66\mathrm{K}$. The NMR relaxation rates ($1/T_1$ and $1/T_2$) exhibit a peak, providing evidence for a magnetic long-range order at $T^{*}\simeq 4\mathrm{K}$ which appears to be canted antiferromagnetic type. Heat capacity also features a broad maximum at $T^{*}$ that moves towards higher temperatures with increasing magnetic field, reflecting defect induced Schottky anomaly. The frustration parameter $f_r=\left|{\theta }_{\mathrm{CW}}\right|/T^{*}\simeq 12.5$ renders the compound a highly frustrated low-dimensional magnet.

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• Frustrated magnetism
• Magnetic interactions
• Magnetic phase transitions
• Nuclear magnetic resonance