Experiments · E84

Does taking competing phases from materials databases catch what hand-picked structures missed?

Withdrawn. It fixed the nickel compounds, but the hull also held bcc orderings, so it was replaced by a filtered hull.

In the log: The competitor set comes from the databases, and it catches what guessing missed

supersededDate not stated in the log; it was written between the commit of 2026-09-13 08:16 and the first commit that contains it, 2026-09-16 02:04unclassified0 predictions · 0 result paragraphsEXPERIMENTS.md lines 4649–4695
exp E84 diagram
What E84 did and how it came out, drawn from this record and the files it names (book/assets/diagrams/exp/E84.svg).

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The full record

EXPERIMENTS.md · lines 4649–4695

E84 — The competitor set comes from the databases, and it catches what guessing missed

The system is widened to twelve elements - the eight refractory metals plus Cr, Co, Cu and Ni - and the off-lattice hull is rebuilt from what the materials databases actually hold rather than from prototypes chosen by hand.

936 structures across all 78 elements and binary pairs, fetched over OPTIMADE from Materials Cloud MC3D (434, built from ICSD, MPDS and COD, so a record of what has been observed), Alexandria (392) and JARVIS (110). OQMD errored and Materials Project timed out; neither was needed for coverage. Every structure relaxed with the same potential and the same settings as the existing hull - cell and ions, fmax 0.02 - 936 of 936 converged, in 3.4 minutes. Combined with the 136 hand-built prototypes, which are kept rather than discarded: 1072 phases.

Every element now has a ground state on the hull, which was not true before: there was no fcc phase in it at all. Nickel comes back at -5.7867 eV/atom, matching the independent measurement in E83 to four decimals.

The test is E81, whose sixteen hand-built structures were ten parts fiction.

composition E81, guessed database hull what beats it
Ni-Ti 50/50 +63 +101 NiTi
Ni3Ti +194 +201 Ni3Ti
Ni-Zr 50/50 +120 +220 NiZr
Ni-Nb 50/50 -56 +146 Nb7Ni6, NbNi3
Ni-Ta 50/50 -40 +157 NiTa2, Ni3Ta
Ni-V 50/50 -137 +98 NiV3, Ni3V

The three systems where guessing failed are the three the databases fix, and they are fixed by precisely the phases named in the E81 withdrawal as the real ground states and then not computed: the mu phase Nb7Ni6, Ni3Ta, Ni3V. A negative entry in that table meant the structure was fiction; every one is now positive and correctly beaten.

All six sit above the 40 meV/atom a candidate needs to qualify, so a nickel search against the previous hull would have produced winners that are line compounds. It no longer can.

The general lesson, which outlives nickel. The 136 prototypes were a reasonable choice for eight metals that mostly make Laves phases, and they encode an assumption about what competes. That assumption does not travel: Cr, Co, Cu and Ni make L1_2, D0_24, B2, sigma and mu. A hull assembled by hand is a hull that can only find what its author already thought of, which is the same failure as E56 wearing different clothes. Taking the competitor set from the databases removes the author from the loop.

What is not done. The expansion covers nine elements (E83), not twelve, so the fly cannot yet propose Cr, Co or Cu compositions; and the ladder's rungs still load the eight-element hull by default. Both are wiring, not physics.

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