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: Ni-N (10 entries found)
Displaying 11 entries out of 11 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-3106 YSiNi4 2 12 orthorhombic Cmmm [65] -0.607 0 (stable) MP 0.00 0.00 . . . . . . DFT mp-1072437
MMD-3101 YSi3Ni 4 20 orthorhombic Cmmm [65] -0.699 0 (stable) MP 0.00 0.00 . . . . . . DFT mp-10284
MMD-3193 Y3(SiNi3)2 4 44 cubic Im-3m [229] -0.653 0 (stable) MP 0.00 0.00 . . . . . . DFT mp-1207795
MMD-3192 Y3(SiNi)2 2 14 orthorhombic Immm [71] -0.712 . MP 0.00 0.00 . . . . . . DFT mp-1207763
MMD-3185 YSi2Ni 4 16 orthorhombic Cmcm [63] -0.847 0 (stable) MP 0.00 0.00 . . . . . . DFT mp-1206088
MMD-3229 Y3Si3Ni 2 14 orthorhombic Imm2 [44] -0.809 . MP 0.00 0.00 . . . . . . DFT mp-1216074
MMD-3195 Y6Si7Ni16 4 116 cubic Fm-3m [225] -0.677 . MP 0.00 0.00 . . . . . . DFT mp-1207874
MMD-3437 Y(SiNi)2 2 10 tetragonal I4/mmm [139] -0.864 0 (stable) MP 0.00 0.00 . . . . . . DFT mp-5176
MMD-3374 YSiNi 4 12 orthorhombic Pnma [62] -0.829 0 (stable) MP 0.00 0.00 . . . . . . DFT mp-20557
MMD-3381 YSi3Ni5 4 36 orthorhombic Pnma [62] -0.721 0 (stable) MP 0.00 0.00 . . . . . . DFT mp-21661
MMD-3370 Y2Si5Ni3 4 40 orthorhombic Ibam [72] -0.799 0 (stable) MP 0.00 0.00 . . . . . . DFT mp-16914
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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