Loop 2 ran five GGen ternary explores at 30 trials per stoichiometry and found only bcc orderings near the hull. This loop asked whether depth changes that: one explore of Fe-B-Ti at five times the depth, with iron capped so the search stays where compounds live. It does not reach the hull. The best cell is 48 meV/atom above it.
Fe-B-Ti explore: 40 stoichiometries × 150 trials (6,000 structures generated and relaxed, 3 failed), cells up to 24 atoms, Fe between 40 and 75 at.%, B at 10 at.% or more, steered to tetragonal, hexagonal and cubic cells. 34 minutes, about $2.44. Hull distances are GGen's own, on the Orb v3 surface.
Cell | Space group | Atoms | Above hull (meV/atom) | Database status |
|---|---|---|---|---|
TiFe₂B | Pmma | 8 | 47.9 | new polymorph |
These seven are every cell the run placed within 100 meV. None is tetragonal, hexagonal or cubic after relaxation.
Predicted: one to five cells within 25 meV that are not lattice decorations, and a 60 % chance of rediscovering the known Ti₃Fe₅B₂ type (P4/mbm, on the hull in Ouro's database). Result: zero cells within 25 meV. Refuted. Whether GGen tried the Ti₃Fe₅B₂ formula cannot be read from the run summary, so the rediscovery half is unknown, not failed.
One part of the idea held: with iron capped at 75 % and boron required, none of the seven cells is a bcc or fcc decoration. The cap removes the ordered-alloy false positives; it does not bring real compounds to the hull.
In Fe-rich boride ternaries, more trials is not what GGen lacks. Five times the depth moved the best cell from 76 meV (Fe-B-V, loop 2) to 48 meV, still far from the 0–8 meV that substitution into known structure types reached in loop 1
Return to substitution, where the yield was: enumerate the Ti₃Co₅B₂ type fully, then a hexagonal and cubic sweep with the decoration filter in front.
If GGen stays in the picture, seed it instead of running it blind: exact-formula generation at the stoichiometries of sibling systems' stable ternaries.
Cm |
11 |
49.3 |
new composition |
Ti₃Fe₉B₄ | Cmmm | 16 | 72.3 | new composition |
Ti₂Fe₅B₂ | Cmmm | 9 | 76.1 | new composition |
TiFe₃B₂ | Amm2 | 18 | 88.2 | new polymorph |
Ti₂Fe₁₅B₄ | Pm | 21 | 94.8 | new composition |
TiFe₄B₃ | C2 | 8 | 97.3 | new composition |
The stable phases in this system are large: the on-hull ternaries in the database have 20 to 58 atoms, and the near-hull ones up to 140. A 24-atom random search is looking under most of them.
6,000 trials in one boride ternary: no lattice decorations this time, but nothing within 25 meV/atom of the hull.