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: Fe-Co-N (272 entries found)
Displaying 9 entries out of 9 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-2099 NbFeSi 4 12 orthorhombic Cmcm [63] -0.581 . MP 0.26 0.22 . . . . . . DFT mp-1102925
MMD-2118 Nb4Fe4Si7 4 60 tetragonal I4/mmm [139] -0.619 0 (stable) MP 0.11 0.10 . . . . . . DFT mp-1192618
MMD-2128 NbFeSi2 12 48 orthorhombic Pbam [55] -0.604 0 (stable) MP 0.00 0.00 . . . . . . DFT mp-1196167
MMD-2157 NbFeSi 4 12 orthorhombic Pnma [62] -0.616 0 (stable) MP 0.25 0.21 . . . . . . DFT mp-1209887
MMD-2224 Nb4Fe3Si5 2 24 orthorhombic Amm2 [38] -0.571 . MP 0.24 0.21 . . . . . . DFT mp-1220469
MMD-2225 NbFe4Si 2 12 trigonal P-3m1 [164] -0.085 . MP 0.89 0.83 . . . . . . DFT mp-1220510
MMD-2230 Nb3Fe8Si 1 12 trigonal P3m1 [156] -0.150 . MP 0.82 0.75 . . . . . . DFT mp-1220756
MMD-2357 Nb4FeSi 2 12 tetragonal P4/mcc [124] -0.309 . MP 0.00 0.00 . . . . . . DFT mp-22312
MMD-2390 Nb6Fe16Si7 4 116 cubic Fm-3m [225] -0.447 0 (stable) MP 0.15 0.14 . . . . . . DFT mp-542995
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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