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The N$\acute{\rm e}$el temperature of the new frustrated family ofSr\emph{RE}$_2$O$_4$ (\emph{RE} = rare earth) compounds is yet limited to$\sim$ 0.9 K, which more or less hampers a complete understanding of therelevant magnetic frustrations and spin interactions. Here we report on a newfrustrated member to the family, SrTb$_2$O$_4$ with a record $T_{\rm N}$ =4.28(2) K, and an experimental study of the magnetic interacting andfrustrating mechanisms by polarized and unpolarized neutron scattering. Thecompound SrTb$_2$O$_4$ displays an incommensurate antiferromagnetic (AFM) orderwith a transverse wave vector \textbf{Q}$^{\rm 0.5 K}_{\rm AFM}$ = (0.5924(1),0.0059(1), 0) albeit with partially-ordered moments, 1.92(6) $\mu_{\rm B}$ at0.5 K, stemming from only one of the two inequivalent Tb sites mainly by virtueof their different octahedral distortions. The localized moments are confinedto the \emph{bc} plane, 11.9(66)$^\circ$ away from the \emph{b} axis probablyby single-ion anisotropy. We reveal that this AFM order is dominated mainly bydipole-dipole interactions and disclose that the octahedral distortion,nearest-neighbour (NN) ferromagnetic (FM) arrangement, different next NN FM andAFM configurations, and in-plane anisotropic spin correlations are vital to themagnetic structure and associated multiple frustrations. The discovery of thethus far highest AFM transition temperature renders SrTb$_2$O$_4$ a newfriendly frustrated platform in the family for exploring the nature of magneticinteractions and frustrations.

Incommensurate antiferromagnetic order in the manifoldly-frustrated SrTb$_2$O$_4$ with transition temperature up to 4.28 K