Was the reference simulation cell big enough for the energy model's reach?
No. Its 4.94 Å limit was below the model's 6.0 Å reach; in a larger cell the accuracy figure is 1.33, not 0.96 meV/atom.
In the log: The reference cell was too small for its own clusters
recordedDate 2026-09-12, as written in the logunclassified0 predictions · 0 result paragraphsEXPERIMENTS.md lines 1519–1567
What E31 did and how it came out, drawn from this record and the files it names (book/assets/diagrams/exp/E31.svg).
Results
No result paragraph for this entry was found in the log.
The full record
EXPERIMENTS.md · lines 1519–1567
E31 — The reference cell was too small for its own clusters
Date 2026-09-12 · Question icet warns that the calculator self-interacts. Does it
change the answer? · Provenanceforager/thermo.py,
…/{selfinteract,recalibrate}.py
The geometry. A 3x3x3 cell at a = 3.2935 A is 9.88 A across, so under the minimum
image convention no cluster may reach beyond 4.94 A. The expansion has a 6.0 A
pair cutoff. Clusters were wrapping onto their own periodic images and counting an
interaction twice - in the Monte Carlo that serves as the reference, which everything
else is calibrated and validated against. A 4x4x4 cell is 13.17 A across, limit 6.59 A,
which clears it.
The bias, same compositions, same settings, 54 sites against 128:
meV/atom
mean
-1.66
sd
2.56
largest
5.72
This was larger than the error being reported against it. The fast path's agreement
with the reference had been quoted as 0.96 meV/atom MAE; the ruler itself was bent by
more than that.
Recalibrated at 128 sites, 40 compositions, and revalidated on the 15 compositions
drawn after the model was chosen:
54-site reference (biased)
128-site reference
MAE
0.96
1.33
RMSE
1.30
1.65
max
3.02
3.17
Calibration residual 2.14 meV/atom on the energy and 0.0059 on the entropy ratio. The
uncertainty remains unbiased and conservative: z mean -0.13, sd 0.61, 15 of 15 inside
two sigma. 1.33 meV/atom is the figure that stands; 0.96 is withdrawn. Nothing
downstream breaks, because both are far below the expansion's own 5.67 (E16b) and the
potential's 6.61 (E18) - but the difference between them is the difference between a
measured number and a lucky one.
Fixed at the cause.CEThermo now refuses a cell too small for the expansion's
cutoffs, with the required repeat in the error message. A warning in a log nobody reads
is not a safeguard; this one had been printing throughout E21, E23 and E24.
Superseded. The accuracy figures in E23 and E24 were measured against the 54-site
reference and are superseded by the table above. The methods in those entries stand -
the variance basis of E24 was selected on correlations that the bias does not reverse -
but their headline accuracy numbers should be read from here.
Related entries
E16b — The eight-element cluster expansion the rest of this log is built on
E18 — MACE-MPA-0 validated on 300 independent DFT structures
E21 — Configurational entropy computed, not assumed
E23 — A composition-level free energy fast enough to be an objective
E24 — The short-range-order correction was regressed on the wrong variable