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-Co-B (7 entries found)
Displaying 17 entries out of 17 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-323 Co3Si 4 16 orthorhombic Cmcm [63] -0.320 0.017 AGA search 0.72 0.78 c 0.04 -0.24 -0.28 . . DFT MS
MMD-324 Co3Si 4 16 orthorhombic Cmcm [63] -0.331 0.007 AGA search 0.73 0.80 c 0.38 -0.07 -0.45 . . DFT MS
MMD-325 Co3Si 2 8 hexagonal P6_3/mmc [194] -0.263 0.075 AGA search 0.65 0.72 ab plane -2.30 . . . . DFT MS
MMD-326 Co3Si 2 8 hexagonal P6_3/mmc [194] -0.266 0.072 AGA search 0.71 0.78 ab plane -2.84 . . . . DFT MS
MMD-327 Co3Si 4 16 orthorhombic Cmcm [63] -0.331 0.007 AGA search 0.73 0.80 c 0.35 -0.07 -0.42 . . DFT MS
MMD-328 Co3Si 4 16 orthorhombic Cmcm [63] -0.331 0.007 AGA search 0.73 0.80 c 0.36 -0.08 -0.44 . . DFT MS
MMD-329 Co3Si 4 16 orthorhombic Cmcm [63] -0.331 0.007 AGA search 0.73 0.80 c 0.37 -0.07 -0.44 . . DFT MS
MMD-330 Co3Si 4 16 orthorhombic Cmcm [63] -0.331 0.007 AGA search 0.73 0.80 c 0.35 -0.08 -0.44 . . DFT MS
MMD-331 Co3Si 4 16 orthorhombic Cmcm [63] -0.331 0.007 AGA search 0.73 0.80 c 0.37 -0.10 -0.47 . . DFT MS
MMD-332 Co3Si 4 16 orthorhombic Cmcm [63] -0.331 0.007 AGA search 0.73 0.80 c 0.36 -0.09 -0.45 . . DFT MS
MMD-333 Co3Si 4 16 orthorhombic Cmcm [63] -0.331 0.007 AGA search 0.73 0.80 c 0.36 -0.09 -0.46 . . DFT MS
MMD-1309 Co3Si 2 8 hexagonal P6_3/mmc [194] -0.266 0.072 MP 0.70 0.77 ab plane -2.71 . . . . DFT mp-1079393
MMD-1312 Co2Si3 4 20 tetragonal P-4c2 [116] -0.327 0.201 MP 0.00 0.00 . . . . . . DFT mp-1105498
MMD-1382 Co2Si 4 12 orthorhombic Pnma [62] -0.451 0 (stable) MP 0.23 0.25 b -0.12 -0.21 -0.09 . . DFT mp-19905
MMD-1400 CoSi 1 2 cubic Pm-3m [221] -0.408 0.202 MP 0.32 0.34 <111> . . . -0.01 . DFT mp-22746
MMD-1403 CoSi2 4 12 cubic Fm-3m [225] -0.473 0 (stable) MP 0.00 0.00 . . . . . . DFT mp-2379
MMD-1437 CoSi 4 8 cubic P2_13 [198] -0.610 0 (stable) MP 0.00 0.00 . . . . . . DFT mp-7577
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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