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: Al-Fe-Ni (4 entries found)
Displaying 7 entries out of 7 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-1085 Fe3Cu 4 16 cubic Fm-3m [225] 0.179 0.179 MP 1.82 1.92 a . . . 0.00 . DFT mp-1184260
MMD-1086 Fe3Cu 2 8 tetragonal I4/mmm [139] 0.130 0.130 MP 1.90 1.87 c 0.42 . . . . DFT mp-1184311
MMD-1088 FeCu3 2 8 hexagonal P6_3/mmc [194] 0.172 0.172 MP 0.70 0.67 c 0.68 . . . . DFT mp-1184444
MMD-1134 FeCu 2 4 orthorhombic Cmmm [65] 0.167 0.167 MP 1.28 1.27 c 2.69 2.96 0.27 . . DFT mp-1224945
MMD-1135 FeCu3 2 8 orthorhombic Cmmm [65] 0.106 0.106 MP 0.66 0.64 c 1.13 1.45 0.31 . . DFT mp-1224953
MMD-1138 FeCu4 3 15 trigonal R-3m [166] 0.065 0.065 MP 0.50 0.50 c 1.95 . . . . DFT mp-1224977
MMD-1143 Fe3Cu 2 8 orthorhombic Cmmm [65] 0.066 0.066 MP 1.86 1.84 c 1.10 1.38 0.28 . . DFT mp-1225131
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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