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: Zr-Co-C (55 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-690 ZrCo9N2 1 12 orthorhombic Pmm2 [25] -0.120 0.178 AGA search 1.00 1.03 c 0.04 -0.19 -0.23 . . DFT MS
MMD-691 ZrCo9N2 1 12 orthorhombic Pmm2 [25] -0.123 0.177 AGA search 0.99 1.02 c 0.41 -0.59 -1.01 . . DFT MS
MMD-692 ZrCo9N2 1 12 orthorhombic Pmm2 [25] -0.123 0.180 AGA search 0.99 1.02 c 0.41 -0.59 -1.00 . . DFT MS
MMD-693 ZrCo9N2 1 12 monoclinic Pm [6] -0.109 0.170 AGA search 1.11 1.14 a -0.41 0.41 0.82 . . DFT MS
MMD-694 ZrCo9N2 1 12 orthorhombic Pmm2 [25] -0.123 0.181 AGA search 0.99 1.02 c 0.42 -0.58 -1.00 . . DFT MS
MMD-695 ZrCo9N2 1 12 orthorhombic Pmm2 [25] -0.120 0.181 AGA search 1.00 1.03 a -0.16 0.04 0.20 . . DFT MS
MMD-696 ZrCo9N2 2 24 orthorhombic Imm2 [44] -0.119 0.182 AGA search 1.01 1.04 c 0.16 -0.04 -0.20 . . DFT MS
MMD-697 ZrCo9N2 2 24 orthorhombic Imm2 [44] -0.119 0.182 AGA search 1.02 1.04 c 0.18 -0.03 -0.21 . . DFT MS
MMD-698 ZrCo9N2 1 12 orthorhombic Pmm2 [25] -0.120 0.146 AGA search 1.00 1.03 a -0.02 -0.17 -0.15 . . DFT MS
MMD-699 ZrCo9N2 2 24 orthorhombic Imm2 [44] -0.119 0.250 AGA search 1.01 1.04 c 0.17 -0.04 -0.21 . . DFT MS
MMD-700 ZrCo9N2 2 24 orthorhombic Imm2 [44] -0.119 0.149 AGA search 1.01 1.04 c 0.17 -0.04 -0.21 . . DFT MS
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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