Magnetic properties and magnetic structure of the Ba2Mn(PO4)2 antiferromagnet featuring frustrated zigzag chains of S = 5 2 Mn 2+ ions are reported based on neutron diffraction, density-functional band-structure calculations, as well as temperature-and field-dependent measurements of the magnetization and specific heat. A magnetic transition at TN 5 K marks the onset of the antiferromagnetic order with the propagation vector k = ( 1 2 0 1 2 ) and ordered moment of 4.33 ± 0.08 µB/Mn 2+ at 1.5 K, pointing along the c direction. Direction of the magnetic moment is chosen by the single-ion anisotropy, which is relatively weak compared to the isostructural Ni 2+ compound. Geometrical frustration has strong impact on thermodynamic properties of Ba2Mn(PO4)2, but manifestations of the frustration are different from those in Ba2Ni(PO4)2, where frustration by isotropic exchange couplings is minor, yet strong and competing single-ion anisotropies are present. A spin-flop transition is observed around 2.5 T. The evaluation of the magnetic structure from the ground state via the spin-flop state to the field-polarized ferromagnetic state has been revealed by a comprehensive neutron diffraction study as a function of magnetic field below TN . Finally, a magnetic phase diagram in the H − T plane is obtained. FIG. 2. (Color online) (a) Projection of the crystal structure of Ba2Mn(PO4)2 along the a axis, with the honeycomb arrangement of the Mn 2+ ions highlighted by the honeycomb-unit. (b) Schematic representation of the exchange interactions J1, J2, J3 and J4 in Ba2Mn(PO4)2. The honeycomb units are formed by two J1 and four J4 exchange interactions, whereas J2 and J3 connect the honeycomb planes.(c) An alternative view of the spin lattice in terms of zigzag spin chains along the crystallographic a-axis. The chains are built by nearest-neighbor couplings J1, J2 and the second-neighbor coupling J3. The coupling J4 connects the zigzag chains.