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Page 6 of 18         Deng et al. Microstructures 2023;3:2023044  https://dx.doi.org/10.20517/microstructures.2023.42



























                 Figure 6. The non-coplanar FIM structures of (A) Mn Cu  N  [39] , (B) Mn Ga  N  [35] , (C) Mn SbN [61] , and (D) Mn  Co  N [62] .
                                                    3  0.89  0.96  3  0.95  0.94  3            3.39  0.61
               ~353 K and FIM-M2 phase transition at ~250 K. Neutron diffraction pattern at 300 K reveals the non-
               collinear FIM phase with a sub-lattice a, a, 2c where a and c are the lattice parameters of the tetragonal
               nuclear structure. The Mn atoms are located at six different types of sites with a P4 space group. Mn1 (0.5,
               0.5, 0) and Mn2 (0.5, 0.5, 0.5) display the FM component 2.5 μ /Mn along the z axis. Moreover, the tiled
                                                                      B
               magnetic moments were uncovered for Mn3 (0.5, 0, 0.25), Mn4 (0, 0.5, 0.25), Mn5 (0.5, 0, 0.75), and
               Mn6 (0, 0.5, 0.75), corresponding to (−2.47, 2.47, −2.16) μ /Mn, (2.47, −2.47, −2.16) μ /Mn, (2.47, −2.47,
                                                                 B
                                                                                         B
               −2.16) μ /Mn, and (−2.47, 2.47, −2.16) μ /Mn, respectively. At 5 K, another non-coplanar magnetic structure
                                                B
                      B
               M2 with         a was revealed in Mn SbN. Herein, Mn atoms on the plane z = 0.5 show a “square” AFM
                                                 3
               arrangement with the moment 2.3 μ /Mn, while the other Mn atoms display the AFM component along the
                                              B
               z axis with the moment 2.5 μ /Mn. The minor differences between the presented magnetic structure and the
                                       B
                                                                                [54]
               previously reported one may arise from the tiny elemental components . Even more interesting in
               antiperovskites is that the propagation vector k = (0, 0, k ) of Mn SnN varies with temperature from k  = 0.25
                                                                     3
                                                              z
                                                                                                    z
                                       [54]
               at 50 K to k  = 0.125 at 237 K .
                         z
               The effect of magnetic element doping on the magnetic structure was also investigated in antiperovskites.
               For Mn-doped Mn Ni N and Mn Co N compounds [Figure 6D], a FM component along the [111]
                                              3.39
                                    1-x
                                                   0.61
                                3+x
               direction coexisting with canted Γ  AFM component was resolved by neutron diffraction technique [15,62] .
                                             5g
               Table 1  summarizes  the  magnetic  structures  and  corresponding  temperature  ranges  of  typical
               antiperovskites.
               PHYSICAL PROPERTIES OF ANTIPEROVSKITES
               The research on antiperovskite structure compounds can be traced back to the 1930s when there were not
               many studies on physical properties. Since the 1980s, this type of compound has been paid attention by
               scientists, and the basic physical properties of antiperovskites have been studied by means of neutron
               diffraction, X-ray diffraction (XRD), Mössbauer spectroscopy, and nuclear magnetic resonance. Extensive
               research of these basic physical properties mainly includes crystal structures, magnetic properties (magnetic
               structures),  phase  diagrams,  etc. At  the  beginning  of  the  21st  century,  superconductivity,  giant
               magnetoresistance, magnetocaloric effect, abnormal thermal expansion, and near-zero temperature
               coefficient of resistance behaviors were successively reported in antiperovskites. The discovery of these
               physical properties prompted more and more researchers to pay attention to antiperovskites and their
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