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Magnetization measurements on single-crystal cubic SrCuTe$_2$O$_6$ with anapplied magnetic field of along three inequivalent high symmetry directions$[100]$, $[110]$, and $[111]$ reveal weak magnetic anisotropy. The fits of themagnetic susceptibility to the result from a quantum Monte Carlo simulation onthe Heisenberg spin-chain model, where the chain is formed via the dominantthird-nearest-neighbor exchange interaction $J_3$, yield the intra-chaininteraction $(J_3/k_B)$ between 50.12(7) K for the applied field along $[110]$and 52.5(2) K along $[100]$ with about the same $g$-factor of 2.2.Single-crystal neutron diffraction unveils the transition to the magneticordered state as evidenced by the onset of the magnetic Bragg intensity at$T_\textrm{N1}=5.25(9)$ K with no anomaly of the second transition at$T_\textrm{N2}$ reported previously. Based on irreducible representation theoryand magnetic space group analysis of powder and single-crystal neutrondiffraction data, the magnetic structure in the Shubnikov space group $P4_132$,where the Cu$^{2+}$~$S=1/2$ spins antiferromagnetically align in the directionperpendicular to the spin chain, is proposed. The measured ordered moment of$0.52(6)~\mu_B$, which represents 48% reduction from the expected value of$1~\mu_B$, suggests the remaining influence of frustration resulting from the$J_1$ and $J_2$ bonds.

Magnetic properties and magnetic structure of the frustrated quasi-one-dimensional antiferromagnet SrCuTe$_2$O$_6$