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The chain-like system Ba_{3}Cu_{3}Sc_4O_{12} has potentially interestingmagnetic properties due to the presence of Cu^{2+} and a structure-suggestedlow-dimensionality. We present magnetization M versus magnetic field H andtemperature T, T- and H-dependent heat-capacity C_{p}, ^{45}Sc nuclear magneticresonance (NMR), muon spin rotation ({\mu}SR), neutron diffraction measurementsand electronic structure calculations for Ba_{3}Cu_{3}Sc_{4}O_{12}. The onsetof magnetic long-range antiferromagnetic order at T_{N} ~16 K is consistentlyevidenced from the whole gamut of our data. A significant sensitivity of T_{N}to the applied magnetic field H (T_{N}~0 K for H=70 kOe) is also reported.Coupled with a ferromagnetic Curie-Weiss temperature ({\theta}_{CW}~65 K) inthe susceptibility (from a 100 K-300 K fit), it is indicative of competingferromagnetic and antiferromagnetic interactions. These indications arecorroborated by our density functional theory based electronic structurecalculations where we find the presence of significant ferromagnetic couplingsbetween some copper ions whereas AF couplings were present between some others.Our experimental data, backed by our theoretical calculations, rule outone-dimensional magnetic behaviour suggested by the structure and the observedlong-range order is due to the presence of non-negligible magnetic interactionsbetween adjacent as well as next-nearest chains.

Magnetic behavior of Ba_{3}Cu_{3}Sc_{4}O_{12}