Spectrum Atlas

naphthalene+CHO+OCH3 C12H10O2

B_2d8a02ed8b · SMILES COc1ccc2cccc(C=O)c2c1 · InChIKey WYDUFXRPFJPXGH-UHFFFAOYSA-N

Cheap level done
finite-difference Hessian noisyfinite-difference Hessian noisy (analytic check differs > 15 cm⁻¹). The finite-difference Hessian and the analytic Hessian of the same geometry differ by more than 15 cm⁻¹ on at least one frequency; the numerical route is the noisy one.

Infrared spectrum at the cheap level (B3LYP/6-31G*, the pipeline's input)

500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.05.0101520 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.05.0101520 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.05.0101520 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

45 infrared-active bands (500–3500 cm⁻¹); the strongest at 1317 cm⁻¹ (7.6 µm), 323 km/mol.

cheap input (B3LYP): blue curve, sticks orange at the curve's peak scale. Lorentzian, FWHM 10 cm⁻¹; axis in km mol⁻¹ per cm⁻¹.

Band heights from the molecule's dipole derivatives and the same B3LYP Hessian as the listed positions (double harmonic).

Predicted spectrum (rung 3, the learned correction): computed by the pipeline, not drawn on this page; licensed for ring-ip, CH-stretch, CH-oop (decision 65).

How well is this shape known?
measured on (ΔH network v1.3)spectrum overlap
cheap → corrected
height error
cheap → corrected
8 unseen simple aromatics (layer A), DFT stand-in for the higher level0.28 → 0.980.23 → 0.10
31 molecules of unseen scaffolds, DFT stand-in for the higher level0.37 → 0.970.51 → 0.24
against coupled clusternot measured for this version

Overlap: similarity of the two broadened spectra (1 = the same shape). Height error: relative error per band, weighted by height (0 = the same heights). "Corrected" is the learned correction on molecules it never saw; the pipeline serves it for the licensed families. Open: the dipole derivatives themselves are computed at the cheap level (on benzene they differ from coupled cluster by about 20 %).

Harmonic frequencies at the cheap level (deck v1: B3LYP and ωB97X, 6-31G*, at the B3LYP geometry)

66 vibrational modes; imaginary modes negative. Shift = ωB97X − B3LYP; height = B3LYP band height (km/mol).

The B3LYP bands are drawn in the spectrum above; the table adds their heights, the ωB97X positions and the shift.

#B3LYP (cm⁻¹)height (km/mol)ωB97X (cm⁻¹)shift
165.91.4289.7+23.8
284.50.01100.3+15.8
3110.011.55150.9+40.9
4160.70.29167.9+7.3
5174.41.46190.2+15.9
6200.40.21214.0+13.6
7250.50.22264.6+14.1
8255.06.03281.9+26.9
9325.93.80337.2+11.3
10343.76.46351.3+7.5
11375.00.20378.3+3.3
12430.91.67440.1+9.2
13456.92.46462.6+5.7
14517.93.25523.0+5.1
15523.87.07527.9+4.0
16548.30.90560.0+11.7
17565.012.34571.5+6.5
18666.10.87673.0+7.0
19668.511.36679.0+10.4
20717.37.40722.7+5.4
21761.310.77772.2+10.9
22786.524.02794.8+8.3
23792.80.00803.5+10.7
24843.344.24856.3+13.0
25869.13.35878.0+8.9
26874.627.05885.5+10.9
27921.021.09931.9+10.9
28946.00.08966.8+20.8
29959.90.02981.5+21.6
30986.51.221016.9+30.3
311022.10.011044.1+22.0
321040.314.601050.8+10.5
331083.858.561099.6+15.8
341117.15.081125.4+8.3
351183.30.701176.5-6.7
361190.616.541188.6-2.0
371195.517.891199.4+3.9
381212.859.051220.7+7.9
391227.170.921226.7-0.4
401261.417.951264.6+3.3
411294.357.141302.2+7.9
421316.9322.881329.0+12.2
431367.737.731358.8-8.9
441402.39.381407.0+4.7
451426.213.151426.0-0.2
461461.86.921469.4+7.6
471490.349.941498.0+7.6
481495.56.311511.7+16.2
491515.97.421530.1+14.2
501523.35.721536.1+12.7
511534.040.811543.2+9.2
521568.784.421595.3+26.6
531619.084.181655.5+36.5
541648.736.771676.0+27.3
551684.0147.591726.1+42.1
561780.1259.471813.6+33.4
572963.788.493016.7+53.0
583028.869.623064.6+35.9
593089.641.733137.4+47.7
603160.625.123203.6+43.0
613180.41.723224.3+43.9
623186.913.343230.3+43.5
633204.417.003247.0+42.6
643219.48.223262.7+43.3
653230.711.973275.2+44.5
663235.24.083280.1+44.9

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 2 cm⁻¹; wb97x max |Δω| 18 cm⁻¹.

Provenance

  • Releases: none yet
  • Entered the corpus as: cores with one or two substituents, enumerated from the parents (layer B)
  • Run: ubuntu-32gb-hel1-18, 2026-09-29 01:59:18 → 2026-09-29 03:04:27, 3908 s, peak 4.73 GB, deck 9e27bf8e9348
  • Imaginary modes: B3LYP 0, ωB97X 0
  • Cheap-level band heights: dipole derivatives dipole_b3lyp_cphf.npz, Hessian hessian_b3lyp.npz
  • Source files: corpus factory · manifest