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-S (45 entries found)
Displaying 6 entries out of 6 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-1045 MnFe 1 2 tetragonal P4/mmm [123] 0.088 0.088 MP 0.47 0.52 ab plane -0.65 . . . . DFT mp-1009134
MMD-1119 MnFe3 1 4 hexagonal P-6m2 [187] 0.056 0.056 MP 0.00 0.00 . . . . . . DFT mp-1221628
MMD-1120 MnFe4 4 20 orthorhombic Fmmm [69] 0.034 0.034 MP 1.90 1.97 a -0.34 -0.30 0.04 . . DFT mp-1221635
MMD-1121 Mn7Fe3 2 20 monoclinic P2_1 [4] 0.088 0.088 MP 0.01 0.01 . . . . . . DFT mp-1221991
MMD-1289 MnFe3 1 4 tetragonal P4/mmm [123] 0.050 0.050 MP 1.84 1.89 c 0.07 . . . . DFT mp-999542
MMD-1290 Mn3Fe 1 4 orthorhombic Pmmm [47] 0.116 0.116 MP 0.39 0.41 a -3.59 2.55 6.14 . . DFT mp-999545
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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