Structure-Property Relationships in α-, β′-, and γ-Modifications of Mn<inf>3</inf>(PO<inf>4</inf>)<inf>2</inf>

© 2016 American Chemical Society.The manganese orthophosphate, Mn3(PO4)2, is characterized by the rich variety of polymorphous modifications, α-, β′-, and γ-phases, crystallized in monoclinic P21/c (P21/n) space group type with unit cell volume ratios of 2:6:1. The crystal structures of these phases are constituted by three-dimensional framework of corner- and edge-sharing [MnO5] and [MnO6] polyhedra strengthened by [PO4] tetrahedra. All compounds experience long-range antiferromagnetic order at Neel temperature TN = 21.9 K (α-phase), 12.3 K (β′-phase), and 13.3 K (γ-phase). Additionally, second magnetic phase transition takes place at T∗ = 10.3 K in β′-phase. The magnetization curves of α- and β′-modifications evidence spin-floplike features at B = 1.9 and 3.7 T, while the γ-Mn3(PO4)2 stands out for an extended one-third magnetization plateau stabilized in the range of magnetic field B = 7.5-23.5 T. The first-principles calculations define the main paths of superexchange interaction between Mn spins in these polymorphs. The spin model for α-phase is found to be characterized by collection of uniform and alternating chains, which are coupled in all three directions. The strongest magnetic exchange interaction in γ-phase emphasizes the trimer units, which make chains that are in turn weakly coupled to each other. The spin model of β′-phase turns out to be more complex compared to α- or γ-phase. It shows complex chain structures involving exchange interactions between Mn2 (Mn2′, Mn2″) and Mn3 (Mn3′, Mn3″). These chains interact through exchanges involving Mn1 (Mn1′, Mn1″) spins