Experiments · E217

Is the energy model reliable for a chromium-containing alloy when checked against DFT?

Yes. For Cr-Ta-Ti-V-W it was within 15.1 meV/atom of DFT, inside the 25 meV/atom bar.

In the log: E216–E219 — pre-registered before any of them runs (2026-09-21 16:2x)

confirmedDate 2026-09-21 16:2x, as written in the logrung 4 · DFT0 predictions · 1 result paragraphEXPERIMENTS.md lines 14103–14106, lines 14119–14128, lines 15116–15141
exp E217 diagram
What E217 did and how it came out, drawn from this record and the files it names (book/assets/diagrams/exp/E217.svg).

Pre-registration

The pre-registration, as written

E216–E219 — pre-registered before any of them runs (2026-09-21 16:2x)

Queued as one pw.x-at-a-time chain behind the fcc references (runs/e216_e219_chain.sh), cheapest first. Each is the first number of its kind in this project.

E217 — the first chromium-bearing alloy through rung 4. Cr₂₀Ta₂₀Ti₂₀V₂₀W₂₀ (SOB20's scorecard quinary; published T_c 900–1000 K), one random 54-site decoration at Vegard a = 3.1362 Å, the standard settings. v5's rung-0 prediction is on disk before pw.x runs (runs/e217_cr_alloy/prediction.json): cell +63.1 meV/atom, random +84.2 ± 13.2 (n = 8) — a positive formation energy against the bcc pure elements, i.e. v5 says this scorecard system is unstable as a bcc solid solution. Prediction: |v5 − DFT| < 25 meV/atom (Cr has 1576 training rows, it is not an edge like Hf/Zr were in E172). If the residual exceeds 40, v5's Cr corner is as unreliable as its Hf/Zr corner was and every Cr-bearing scorecard number from E210 inherits that. No sign prediction — the record has both signs on hand (Mo–Ta +32, MoNbTaW −4).

Results

EXPERIMENTS.md · line 15116

E217 RESULT — the first chromium alloy through rung 4 (2026-09-22 00:3x)

Cr₁₁Ta₁₁Ti₁₁V₁₁W₁₀, 54 atoms at Vegard a = 3.1362 Å, 60/720 Ry, k 4³, converged in 26 iterations (3 h 16 min wall on six ranks). DFT E_form = +78.2 meV/atom against the bcc pure elements (data/dft/E217_Cr11Ta11Ti11V11W10.extxyz). v5, written before pw.x ran: this cell +63.1, random mean +84.2 ± 13.2. Residual v5 − DFT = −15.1 meV/atom: inside the pre-registered 25 meV bar — v5's Cr corner is as reliable as its Mo–Ta interior (+32 there, −4 on MoNbTaW), not another Hf/Zr corner. The sign agrees too: SOB20's scorecard quinary Cr–Ta–Ti–V–W is unstable as a bcc solid solution at 0 K by DFT (+78 meV/atom), which is worth stating beside its published 900–1000 K ordering temperature — that number was computed on the ideal bcc lattice of a phase DFT does not want to form, and E210b's 747–830 K for the same system (first system, 2026-09-21) inherits the same caveat. The row enters the store and the v7 refit. E216's magnetic blind spot applies: this frame does not see bcc Cr's antiferromagnetism (−12.4 meV/atom on pure Cr), so the +78 is the non-spin number.

Two reference runs that "finished" without running (2026-09-22 00:5x). The Fe fcc lower-bracket scan and the 80-Ry Ni/Cu/Fe fcc references both died on the first line of refs_fcc.py — a tag computed from SCALES before SCALES existed, introduced with the --scales option on 2026-09-21 — and both chains wrote their done markers anyway, because the marker followed the fit step's exit status (refs_fcc_fit.py happily re-fitted the old 60-Ry cells) and not the scan's. Fe fcc is therefore still inside: False (a₀ 3.433 against a 3.446–3.662 bracket) and no 80-Ry reference exists; E218's Ni₃Al formation energy will be read against a 60-Ry Ni reference until the redo lands. Fixed: tag after the scales; runs/fcc_refs_redo_chain.sh runs both scans after the E218 finish chain and writes its marker only if every scan exits 0; E221 waits for it. Same lesson as E217's truncated output on 2026-09-21: a done marker must follow the thing that can fail.

The full record

This entry is written in 3 separate places in the log, shown here in log order.

EXPERIMENTS.md · lines 14103–14106

E216–E219 — pre-registered before any of them runs (2026-09-21 16:2x)

Queued as one pw.x-at-a-time chain behind the fcc references (runs/e216_e219_chain.sh), cheapest first. Each is the first number of its kind in this project.

EXPERIMENTS.md · lines 14119–14128

E217 — the first chromium-bearing alloy through rung 4. Cr₂₀Ta₂₀Ti₂₀V₂₀W₂₀ (SOB20's scorecard quinary; published T_c 900–1000 K), one random 54-site decoration at Vegard a = 3.1362 Å, the standard settings. v5's rung-0 prediction is on disk before pw.x runs (runs/e217_cr_alloy/prediction.json): cell +63.1 meV/atom, random +84.2 ± 13.2 (n = 8) — a positive formation energy against the bcc pure elements, i.e. v5 says this scorecard system is unstable as a bcc solid solution. Prediction: |v5 − DFT| < 25 meV/atom (Cr has 1576 training rows, it is not an edge like Hf/Zr were in E172). If the residual exceeds 40, v5's Cr corner is as unreliable as its Hf/Zr corner was and every Cr-bearing scorecard number from E210 inherits that. No sign prediction — the record has both signs on hand (Mo–Ta +32, MoNbTaW −4).

EXPERIMENTS.md · lines 15116–15141

E217 RESULT — the first chromium alloy through rung 4 (2026-09-22 00:3x)

Cr₁₁Ta₁₁Ti₁₁V₁₁W₁₀, 54 atoms at Vegard a = 3.1362 Å, 60/720 Ry, k 4³, converged in 26 iterations (3 h 16 min wall on six ranks). DFT E_form = +78.2 meV/atom against the bcc pure elements (data/dft/E217_Cr11Ta11Ti11V11W10.extxyz). v5, written before pw.x ran: this cell +63.1, random mean +84.2 ± 13.2. Residual v5 − DFT = −15.1 meV/atom: inside the pre-registered 25 meV bar — v5's Cr corner is as reliable as its Mo–Ta interior (+32 there, −4 on MoNbTaW), not another Hf/Zr corner. The sign agrees too: SOB20's scorecard quinary Cr–Ta–Ti–V–W is unstable as a bcc solid solution at 0 K by DFT (+78 meV/atom), which is worth stating beside its published 900–1000 K ordering temperature — that number was computed on the ideal bcc lattice of a phase DFT does not want to form, and E210b's 747–830 K for the same system (first system, 2026-09-21) inherits the same caveat. The row enters the store and the v7 refit. E216's magnetic blind spot applies: this frame does not see bcc Cr's antiferromagnetism (−12.4 meV/atom on pure Cr), so the +78 is the non-spin number.

Two reference runs that "finished" without running (2026-09-22 00:5x). The Fe fcc lower-bracket scan and the 80-Ry Ni/Cu/Fe fcc references both died on the first line of refs_fcc.py — a tag computed from SCALES before SCALES existed, introduced with the --scales option on 2026-09-21 — and both chains wrote their done markers anyway, because the marker followed the fit step's exit status (refs_fcc_fit.py happily re-fitted the old 60-Ry cells) and not the scan's. Fe fcc is therefore still inside: False (a₀ 3.433 against a 3.446–3.662 bracket) and no 80-Ry reference exists; E218's Ni₃Al formation energy will be read against a 60-Ry Ni reference until the redo lands. Fixed: tag after the scales; runs/fcc_refs_redo_chain.sh runs both scans after the E218 finish chain and writes its marker only if every scan exits 0; E221 waits for it. Same lesson as E217's truncated output on 2026-09-21: a done marker must follow the thing that can fail.

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