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Bond Engine BENCHMARK

1,361 observables across 64 elements. Bond lengths at 0.079% and bond energies at 0.289% mean error. Flux-encoded bond-family formulas with provenance notes.

0.079%
Bond Length Error
453 bonds validated
0.289%
Bond Energy Error
908 bonds validated
1,361
Total Observables
Lengths + energies
64
Elements
24 p + 30 d + 10 s block

Bond Length Results by Category

453 bonds across single, double, triple, and aromatic types

Category Bonds Mean Error Max Error Status
p-block single 276 0.074% 2.0% PASS
d-block single 435 0.061% 1.5% PASS
s-block single 55 0.091% 2.0% PASS
Double bonds 50 0.12% 2.56% PASS
Triple bonds 8 0.08% 0.5% PASS
Aromatic 4 0.05% 0.2% PASS
Overall 453 0.079% 2.56% PASS

Only S=O exceeds 1% error (at −2.56%). All other bonds <1%.

Bond Energy Results by Category

908 bonds validated against CRC Handbook and Morse R2PI data

Category Bonds Mean Error ≤1.0% Status
p-block singles 276 0.25% 96% PASS
d-block singles (TM-TM) 74 0.31% 95% PASS
d-block singles (TM-pblock) 348 0.29% 96% PASS
s-block singles 29 0.42% 90% PASS
Double bonds 56 0.30% 95% PASS
Triple bonds 6 0.18% 100% PASS
Overall 908 0.289% 96% PASS

Element Coverage

64 elements across the periodic table

p-block (24)

B, C, N, O, F, Al, Si, P, S, Cl, Ga, Ge, As, Se, Br, In, Sn, Sb, Te, I, Tl, Pb, Bi, At

d-block (30)

Sc, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn, Y, Zr, Nb, Mo, Tc, Ru, Rh, Pd, Ag, Cd, La, Hf, Ta, W, Re, Os, Ir, Pt, Au, Hg

s-block (10)

H, Li, Na, K, Rb, Cs, Be, Mg, Ca, Sr

Known Outliers

Transparency about where the engines are least accurate

Bond Lengths

Only 4 bonds exceed 0.5% error:

  • I–O −2.0%
  • As–C +1.2%
  • F–Br +0.7%
  • C–P −0.7%

Bond Energies

Largest deviations from experiment:

  • Hg–I +7.0%
  • Be2 −5.6%
  • K–Rb +5.2%
  • Rb–Cs +5.0%

How does this compare?

See the full head-to-head comparison against DFT, CCSD(T), and empirical tables on the Chemistry module page.

View Full Comparison →

Data Provenance

Experimental reference data sources

  • CRC Handbook of Chemistry and Physics (bond lengths + BDEs) ✓ Primary
  • Utah Morse/Long-Range R2PI spectroscopy (39+ TM bonds) ✓ High precision
  • NIST Chemistry WebBook (supplementary) ✓ Cross-check
  • All experimental values traceable to published sources ✓ Audit-ready

Download benchmark package

Machine-readable benchmark values for independent review and reproducible analysis, covering the bond lengths and bond energies reported on this page.

Originator: FluxMateria

Bond Lengths — 55 bonds, 0.130% mean error

Benchmark summary JSON
Headline metrics, per-category breakdown, top outliers, and full row-level predictions for every bond.
Download JSON
Row-level benchmark CSV
All 55 bonds with bond label, predicted (pm), experimental (pm), and error%.
Download CSV
Human-readable summary (Markdown)
Methodology summary, metrics table, top outliers table, and complete bond-by-bond results in Markdown format.
Download MD

Bond Energies — 906 bonds, 0.289% mean error

Benchmark summary JSON
Headline metrics, segment breakdown (homonuclear / heteronuclear / double / triple), top outliers, and full row-level predictions in eV.
Download JSON
Row-level benchmark CSV
All 906 bonds with bond label, bond order, predicted (eV), experimental (eV), and error%.
Download CSV
Human-readable summary (Markdown)
Methodology summary, headline metrics, top outliers, and source references in Markdown format.
Download MD

Methodology

How FluxMateria computes and validates bond properties

Deterministic Bond Calculation

Bond properties use Flux-encoded formula families and physical terms. Every reported value is deterministic, reproducible, and tied to the published benchmark package.

  • Benchmark references used for scoring, not per-row fitting
  • No per-case adjustment to target values
  • Same input always produces same output
  • Full provenance for every value

Validation Protocol

Every engine output is compared against published experimental data. Primary sources: CRC Handbook of Chemistry and Physics, Morse R2PI spectroscopy (Utah group).

  • 453 bond lengths validated
  • 908 bond energies validated
  • 870/906 energies within 1.0%
  • Automated benchmark suite (reproducible)

Scope & Limitations

What this benchmark covers and where it has boundaries

Strengths

  • Sub-0.1% mean error on bond lengths
  • Sub-0.3% mean error on bond energies
  • 64 elements across all blocks
  • Transition metal coverage (30 elements)
  • Fully deterministic — same input, same output

Limitations

  • Hg-I energy (+7.0%) — largest outlier
  • Alkali-metal dimers (K-Rb, Rb-Cs) have weak BDEs
  • f-block elements not yet covered
  • Noble gases not included (inert)

Benchmark count note

The headline chemistry benchmark reports the full scored set: 453 bond-length observables, 908 bond-energy observables, and 1,361 total scored observables.

The public downloadable packet currently includes 55 bond-length rows and 906 bond-energy rows. The length export is a public subset of the full scored registry; the energy export is the current public row-level export.

Category rows are diagnostic and may overlap. Use the Overall rows and headline registry counts for benchmark totals rather than summing diagnostic categories.

References

Primary data sources for experimental validation

  1. CRC Handbook of Chemistry and Physics, 97th Edition. Bond dissociation energies and bond lengths.
  2. M.D. Morse et al., "Resonant two-photon ionization spectroscopy of jet-cooled transition metal dimers," J. Chem. Phys., various years. High-precision BDEs for TM dimers.
  3. NIST Chemistry WebBook, webbook.nist.gov. Supplementary thermochemical data.
  4. Y.-R. Luo, "Comprehensive Handbook of Chemical Bond Energies," CRC Press, 2007.

Benchmark basis

Bond and reaction-property results on this page are computed from Flux chemistry terms. Benchmark references are used to measure accuracy.

Flux Physics

Submit a chemistry validation set

Submit 20-100 bond lengths, bond energies, or thermochemical cases with hidden targets where possible. FluxMateria returns frozen predictions before scoring.

← Back to Module Submit Chemistry Core Validation