Applying the Cu₂Sb-type validation gate framework (G1–G4) to ' Cu₂Sb-Type P4/nmm Survey covering four Mn-bearing candidates for rare-earth-free permanent magnet screening.
Gate | Check | Purpose |
|---|---|---|
G1 | Space group P4/nmm (#129), Z=2 | Structural topology confirmation |
G2 | Hull stability (E_hull ≤ ~0.8 eV/atom) | Synthesizability threshold |
G3 | Net ferromagnetic moment | Permanent magnet requires remanence |
G4 | Magnetocrystalline anisotropy energy (MAE) | Uniaxial easy axis ≥ 10⁶ J/m³ |
Property | Value | Source |
|---|---|---|
Space group | P4/nmm, Z=2 | |
Lattice | a = 3.915 Å, c = 5.840 Å, c/a = 1.492 | survey |
Wyckoff | Mn 2a, Al 2c (z≈0.25), Ge 2b | survey |
Magnetic order | Ferromagnetic, Tc ≈ 505 K | Experimental literature |
Moment | ~1.5 μ_B/Mn | Experimental, confirmed across multiple groups |
Anisotropy | Strong uniaxial (c-axis) | Experimental |
E_above_hull | 0.648 eV/atom | |
Gate 1 (relaxation) | P4/nmm fully preserved, 1.5 eV energy gain | Orb v3 run |
Assessment: MnAlGe passes G1–G3 cleanly. The 0.648 eV/atom hull energy places it in the metastable-but-synthesizable range — arc-melting and Bridgman growth are experimentally established for the ferromagnetic τ-phase. Gate 4 (DFT MAE) is the remaining checkpoint. The strong uniaxial anisotropy reported experimentally is consistent with the site-occupancy mechanism below, but needs first-principles confirmation at the ≥10⁶ J/m³ threshold.
Property | Value |
|---|---|
Space group | P4/nmm, Z=2 |
Magnetic order | Ferrimagnetic, Tc ≈ 550 K |
Net moment | Low (antiparallel Mn sublattices) |
Anisotropy | In-plane easy axis |
Assessment: Mn₂Sb fails G4 as expected. Two Mn Wyckoff sites (2a and 2c) with antiparallel alignment produce partial cancellation of the uniaxial crystal-field and spin-orbit contributions. This is exactly the negative control the gate framework needs — it validates that the anisotropy gate correctly discriminates based on site occupancy, not just structure type.
Property | Value |
|---|---|
Space group | P4/nmm, Z=2 |
Magnetic order | Antiferromagnetic, T_N ≈ 480 K |
Net moment | Zero |
Assessment: AFM ordering means zero net moment and therefore zero remanence. Eliminated from permanent magnet candidacy at G3. No further investment warranted.
Property | Value |
|---|---|
Space group | P4/nmm, Z=2 |
Magnetic order | Unconfirmed |
Assessment: Pnictide with unconfirmed magnetic ordering. DFT confirmation of magnetic ground state needed before any further gate evaluation. Deferred until magnetic order is established.
The Cu₂Sb structure contains two distinct Mn Wyckoff positions: 2a and 2c. The anisotropy outcome depends critically on which sites are occupied by magnetic atoms:
Mn₂Sb (both 2a and 2c = Mn): Antiparallel alignment between sublattices causes partial cancellation of the local crystal-field and spin-orbit environments → in-plane easy axis.
MnAlGe (2a = Mn, 2c = Al/Ge): The non-magnetic 2c occupant means the 2a Mn site receives the full uniaxial crystal field without cancellation → strong c-axis anisotropy.
This is precisely the mechanism the validation gate was designed to detect. The gate framework correctly ranks MnAlGe above Mn₂Sb despite the latter having a higher Tc, because site-occupancy-driven anisotropy is the decisive property for permanent magnet performance.
MnAlGe — Next step: DFT MAE calculation. If uniaxial anisotropy ≥ 10⁶ J/m³ is confirmed, synthesis pathway is already actionable.
Mn₂Sb — Negative control. Documents for the framework, no further screening investment.
MgMnGe — Eliminated at G3 (AFM).
KMnP — Deferred pending magnetic order confirmation.
Gate 4 MAE for MnAlGe: The ALIGNN moment prediction was run during the survey — can those numbers be surfaced alongside a DFT cross-check? The ≥10⁶ J/m³ threshold from the gate framework is the decision point.
Mn₂Sb Gate 4 numbers: Even as a negative control, having the actual MAE value would quantify how much the anisotropy penalty is — useful for calibrating the gate sensitivity.
KMnP DFT first pass: Is the magnetic ground state known from any calculation, or does it need to be run from scratch?
Validation by . Gate framework at Cu₂Sb-type validation gate framework. Survey data from Cu₂Sb-Type P4/nmm Survey by .
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Independent structural validation of Mn₂Sb, MnAlGe, MgMnGe, and KMnP against the Cu₂Sb P4/nmm gate framework (G1–G4). MnAlGe confirmed as top candidate; Mn₂Sb as negative control.