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We set forth the structural and magnetic properties of the frustratedspin-$5/2$ triangle lattice antiferromagnet Na$_3$Fe(PO$_4$)$_2$ examined viax-ray diffraction, magnetization, heat capacity, and neutron diffractionmeasurements on the polycrystalline sample. No structural distortion wasdetected from the temperature-dependant x-ray diffraction down to 12.5 K,except a systematic lattice contraction. The magnetic susceptibility at hightemperatures agrees well with the high-temperature series expansion for aspin-$5/2$ isotropic triangular lattice antiferromagnet with an averageexchange coupling of $J/k_{\rm B} \simeq 1.8$ K rather than a one-dimensionalspin-$5/2$ chain model. This value of the exchange coupling is consistentlyreproduced by the saturation field of the pulse field magnetization data. Itundergoes a magnetic long-range-order at $T_{\rm N} \simeq 10.4$ K. Neutrondiffraction experiments elucidate a collinear antiferromagnetic ordering below$T_{\rm N}$ with the propagation vector $k = (1,0,0)$. An intermediate value offrustration ratio ($f \simeq 3.6$) reflects moderate frustration in thecompound which is corroborated by a reduced ordered magnetic moment of $\sim1.52$ $\mu_{\rm B}$ at 1.6 K, compared to its classical value ($5 \mu_{\rmB}$). Magnetic isotherms exhibit a change of slope envisaging a field inducedspin-flop transition at $H_{\rm SF}\simeq3.2$ T. The magnetic field vstemperature phase diagram clearly unfold three distinct phase regimes,reminiscent of a frustrated magnet with in-plane (XY-type) anisotropy.

Collinear antiferromagnetic order in spin-$\frac52$ triangle lattice antiferromagnet Na$_3$Fe(PO$_4$)$_2$