Database statistics:

A total of 3,826 entries, including 300+ Fe-based rare-earth-free magnets discovered through our adaptive genetic algorithm (AGA) searches, are registered in our database. Data statistics are summarized here.

Phase diagrams:

Binary phases: Fe-N (38 entries), Fe-S (45 entries), Fe-Si (47 entries), Co-N (183 entries), Zr-Co (42 entries), among others.
Ternary phases: Fe-Co-N (272 entries), Fe-Co-S (34 entries), Zr-Co-B (50 entries), Zr-Co-C (55 entries), Zr-Co-N (79 entries), among others.

Benchmark test:

Benchmark results are summarized here, where we compare theoretical and experimental values.
random selection: Y-Ni-P (7 entries found)
Displaying 34 entries out of 34 entries found.
Crystallographic data Sstructural stability [Footnotes] Magnetic properties [Footnotes, magnetic units] Methods References
Materials ID Formula Formula units per cell Atomic sites per cell Crystal system Space group [Number] Formation energy (eV/atom) Energy relative to convex hull (eV/atom) Structure search Averaged magnetic moment (μB/atom) Magnetic polarization, Js (T) Magnetic easy axis Magnetic anisotropy constants:
Ka-c, Kb-c, Kb-a, Kd-a (MJ/m3)		 Curie temperature, TC (K) Methods References
MMD-772 FeCo5S2 2 16 triclinic P-1 [2] -0.025 0.250 AGA search 0.81 0.84 c 0.88 1.24 0.36 . . DFT MS
MMD-773 FeCo5S2 2 16 monoclinic P2_1 [4] -0.023 0.252 AGA search 0.72 0.76 a -0.89 -0.16 0.73 . . DFT MS
MMD-774 FeCo5S2 2 16 monoclinic Pc [7] -0.023 0.252 AGA search 0.76 0.80 c 0.80 0.77 -0.03 . . DFT MS
MMD-775 FeCo5S2 2 16 monoclinic Pm [6] -0.022 0.253 AGA search 0.80 0.84 a -0.77 0.34 1.10 . . DFT MS
MMD-776 FeCo5S2 2 16 monoclinic P2_1 [4] -0.023 0.252 AGA search 0.83 0.87 b 0.32 -0.77 -1.09 . . DFT MS
MMD-777 FeCo5S2 2 16 monoclinic Pc [7] -0.024 0.251 AGA search 0.84 0.87 b 0.01 -1.03 -1.04 . . DFT MS
MMD-778 FeCo2S 4 16 triclinic P1 [1] -0.067 0.223 AGA search 1.18 1.21 c 0.02 0.33 0.30 . . DFT MS
MMD-779 FeCo2S 4 16 monoclinic Pm [6] -0.068 0.222 AGA search 1.18 1.21 a -0.21 0.27 0.48 . . DFT MS
MMD-780 FeCo2S 4 16 monoclinic Pm [6] -0.067 0.223 AGA search 1.17 1.20 a -0.20 -0.07 0.12 . . DFT MS
MMD-781 FeCo2S 4 16 monoclinic Pc [7] -0.068 0.222 AGA search 1.19 1.22 b 0.37 -0.04 -0.41 . . DFT MS
MMD-782 Fe3Co3S2 2 16 triclinic P1 [1] -0.080 0.210 AGA search 1.30 1.32 c 0.02 0.55 0.54 . . DFT MS
MMD-783 Fe3Co3S2 2 16 monoclinic Pm [6] -0.084 0.205 AGA search 1.30 1.32 a -0.16 0.56 0.72 . . DFT MS
MMD-784 Fe3Co3S2 2 16 monoclinic P2_1/m [11] -0.082 0.207 AGA search 1.29 1.31 a -0.12 0.73 0.85 . . DFT MS
MMD-785 Fe3Co3S2 2 16 triclinic P1 [1] -0.086 0.204 AGA search 1.31 1.33 c 0.30 0.82 0.52 . . DFT MS
MMD-786 Fe3Co3S2 2 16 triclinic P1 [1] -0.094 0.195 AGA search 1.34 1.35 c 0.58 0.41 -0.18 . . DFT MS
MMD-787 Fe2CoS 4 16 monoclinic P2_1 [4] -0.095 0.194 AGA search 1.46 1.46 a -0.79 -0.67 0.12 . . DFT MS
MMD-788 Fe2CoS 4 16 triclinic P1 [1] -0.095 0.194 AGA search 1.47 1.47 c 0.18 0.58 0.39 . . DFT MS
MMD-789 Fe2CoS 4 16 monoclinic Pc [7] -0.096 0.193 AGA search 1.47 1.47 c 0.47 0.40 -0.07 . . DFT MS
MMD-790 Fe2CoS 4 16 monoclinic Pm [6] -0.098 0.191 AGA search 1.45 1.45 a -0.31 0.51 0.82 . . DFT MS
MMD-791 Fe2CoS 4 16 triclinic P1 [1] -0.099 0.189 AGA search 1.45 1.46 c 0.43 0.74 0.32 . . DFT MS
MMD-792 Fe2CoS 4 16 monoclinic P2_1 [4] -0.099 0.190 AGA search 1.46 1.46 b 0.04 -0.66 -0.70 . . DFT MS
MMD-793 Fe2CoS 4 16 monoclinic Pc [7] -0.098 0.191 AGA search 1.44 1.45 b 0.45 -0.21 -0.66 . . DFT MS
MMD-794 Fe5CoS2 2 16 triclinic P1 [1] -0.097 0.183 AGA search 1.58 1.57 c 0.07 0.58 0.52 . . DFT MS
MMD-795 Fe5CoS2 2 16 triclinic P1 [1] -0.099 0.181 AGA search 1.58 1.57 c 0.12 0.60 0.48 . . DFT MS
MMD-796 Fe5CoS2 2 16 triclinic P1 [1] -0.098 0.182 AGA search 1.57 1.56 a -0.06 0.44 0.50 . . DFT MS
MMD-797 Fe5CoS2 2 16 triclinic P1 [1] -0.097 0.183 AGA search 1.58 1.57 c 0.08 0.58 0.50 . . DFT MS
MMD-799 Fe3Co3S2 4 32 monoclinic Cm [8] -0.130 0.159 AGA search 1.25 1.19 b 0.01 -0.26 -0.27 . . DFT MS
MMD-800 Fe3Co3S2 2 16 monoclinic Pm [6] -0.101 0.188 AGA search 1.37 1.27 c 0.33 0.96 0.63 . . DFT MS
MMD-801 Fe3Co3S2 2 16 triclinic P-1 [2] -0.103 0.186 AGA search 1.45 1.21 c 0.25 0.44 0.19 . . DFT MS
MMD-802 Fe3Co3S2 2 16 triclinic P1 [1] -0.084 0.206 AGA search 1.50 1.24 c 0.87 0.68 -0.19 . . DFT MS
MMD-803 Fe3Co3S2 2 16 triclinic P-1 [2] -0.103 0.187 AGA search 1.44 1.21 c 0.24 0.44 0.20 . . DFT MS
MMD-2616 FeCoS2 1 4 trigonal P-3m1 [164] -0.268 . MP 0.00 0.00 . . . . . . DFT mp-1224971
MMD-2619 FeCo3S8 3 36 trigonal R-3 [148] -0.401 . MP 0.25 0.21 . . . . . . DFT mp-1224978
MMD-2625 FeCoS4 2 12 monoclinic P2_1/c [14] -0.436 . MP 0.16 0.14 c 0.14 0.19 0.05 . . DFT mp-1225004
Footnotes:
  1. Formation energy:
    We perform DFT calculations to calculate the total enegies of all the structures. The formation energy is computed with respect to a linear combination of the total energies of reference elemental phases. When the formation energies are plotted as a function of chemical composition, a set of stable compounds forms a convex hull, which represents a boundary (theoretical lower limit) in a compositional phase diagram. Metastable compounds lie above the hull, and the energy relative to the hull (distance to the hull) is a useful quantity to examine the metastability of a new compound. The lower the formation energy above the convex hull, the more likely it is for the material to exist.
  2. Magnetic anisotropy constants:
    Magnetic anisotropy constant, Ka-c, is defined as Ka-c = Ea-Ec, where Ea and Ec are the total energies per volume for the magnetization oriented along the crystallographic a and c axes, respectively. Similarly, Kb-c and Kb-a are defined as Kb-c = Eb-Ec and Kb-a = Eb-Ea, respectively. For cubic crystal systems, magnetic anisotropy constant is calculated as Kd-a = Ed-Ea, where Ed is the total energy per volume for the magnetization oriented along the body-diagonal direction of the unit cell.
Collaborative PIs:
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