Trillium lattices formed by corner-shared triangular units are the platform for magnetic frustration in three dimensions. Herein, we report structural and magnetic properties of the Cr-based double trillium lattice material KBaCr₂(PO₄)₃ studied by x-ray diffraction, magnetization, heat capacity, thermal conductivity, and ³¹P nuclear magnetic resonance (NMR) measurements complemented by density-functional band-structure calculations. Heat capacity and ³¹P NMR measurements reveal the magnetic transition at TN1 13.5 K in zero field followed by another transition at TN2 7 K in weak applied fields. The NMR sublattice magnetization confirms that the transition at TN1 is 3D in nature. The ³¹P spin-lattice relaxation rate in the ordered state follows the T³ behavior indicative of the two-magnon Raman process. The spin lattice of KBaCr₂(PO₄)₃ comprises two crystallographically nonequivalent ferromagnetic sublattices that are coupled antiferromagnetically, thus eliminating frustration in this trillium network.
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Kolay et al. (2024) studied this question.
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