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: Cr-Co (7 entries found)
Displaying 10 entries out of 10 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-1712 YGa5Co 1 7 tetragonal P4/mmm [123] -0.454 0 (stable) MP 0.00 0.00 . . . . . . DFT mp-1025375
MMD-1743 Y2Ga8Co 1 11 tetragonal P4/mmm [123] -0.480 . MP 0.00 0.00 . . . . . . DFT mp-1103036
MMD-1741 YGaCo 4 12 orthorhombic Pnma [62] -0.455 0 (stable) MP 0.00 0.00 . . . . . . DFT mp-1102926
MMD-1766 Y4Ga16Co3 1 23 tetragonal P4/mmm [123] -0.503 0 (stable) MP 0.00 0.00 . . . . . . DFT mp-1191866
MMD-1790 Y2Ga2Co15 2 38 hexagonal P6_3/mmc [194] -0.108 . MP 1.11 0.99 . . . . . . DFT mp-1197924
MMD-1850 Y10Ga3Co7 2 40 orthorhombic Pmc2_1 [26] -0.345 0 (stable) MP 0.14 0.08 . . . . . . DFT mp-1217060
MMD-1968 Y3GaCo3 4 28 orthorhombic Cmcm [63] -0.333 0 (stable) MP 0.15 0.09 . . . . . . DFT mp-21491
MMD-1970 Y4GaCo4 2 18 monoclinic C2/m [12] -0.301 0 (stable) MP 0.08 0.05 . . . . . . DFT mp-21875
MMD-1983 YGa2Co3 3 18 hexagonal P6/mmm [191] -0.349 0 (stable) MP 0.18 0.14 . . . . . . DFT mp-30557
MMD-2028 Y5GaCo5 4 44 orthorhombic Cmcm [63] -0.281 0 (stable) MP 0.00 0.00 . . . . . . DFT mp-582751
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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