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: Fe-Si (47 entries found)
Displaying 8 entries out of 8 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-3615 Cr3N2 2 10 hexagonal P6_3/mmc [194] -0.075 0.384 MP 0.26 0.31 . . . . . . DFT mp-1096885
MMD-3568 Cr3N2 2 10 tetragonal I4/mmm [139] -0.369 0.089 MP 0.34 0.42 . . . . . . DFT mp-1014303
MMD-3614 Cr3N2 6 30 trigonal R-3c [167] -0.427 0.031 MP 0.00 0.00 . . . . . . DFT mp-1096882
MMD-3569 Cr3N2 16 80 cubic Ia-3 [206] -0.341 0.117 MP 0.33 0.41 . . . . . . DFT mp-1014318
MMD-3580 Cr3N2 1 5 trigonal P-3m1 [164] -0.136 0.322 MP 0.45 0.54 . . . . . . DFT mp-1014454
MMD-3579 Cr3N2 4 20 orthorhombic Pbcn [60] -0.304 0.154 MP 0.19 0.24 . . . . . . DFT mp-1014444
MMD-3653 Cr3N2 1 5 trigonal P321 [150] 0.383 0.842 MP 1.27 1.10 . . . . . . DFT mp-1097803
MMD-3652 Cr3N2 16 80 cubic Ia-3 [206] -0.341 0.117 MP 0.32 0.38 . . . . . . DFT mp-1097796
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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