Spectrum Atlas

naphthalene+COOH+OCH3 C12H10O3

B_3d55f8d1c1 · SMILES COc1c(C(=O)O)ccc2ccccc12 · InChIKey PMJACRPIWSINFF-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

43 infrared-active bands (500–3500 cm⁻¹); the strongest at 1813 cm⁻¹ (5.5 µm), 348 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)

69 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
139.80.9679.4+39.5
268.80.2685.4+16.5
3109.51.57104.6-4.8
4144.60.03127.3-17.2
5151.42.06163.3+11.9
6193.71.86204.4+10.7
7196.72.15209.5+12.8
8235.61.39248.7+13.1
9303.42.94310.4+7.0
10325.34.38332.5+7.2
11335.44.38342.5+7.1
12406.10.22415.2+9.1
13445.26.07453.8+8.5
14484.03.66494.8+10.8
15490.01.85500.1+10.2
16541.81.58546.6+4.9
17584.914.26595.9+10.9
18591.319.53606.5+15.3
19611.732.55618.5+6.9
20631.075.38663.2+32.2
21691.47.84706.9+15.5
22711.224.72725.8+14.6
23740.420.82747.8+7.4
24753.36.83766.8+13.4
25785.070.82800.8+15.8
26816.415.30834.2+17.7
27848.617.04866.4+17.8
28875.71.54883.6+7.9
29892.03.05909.8+17.7
30906.36.76916.0+9.8
31966.31.32995.8+29.5
32977.40.811008.0+30.6
33999.10.091028.6+29.5
341015.642.451033.4+17.9
351053.81.561061.3+7.5
361115.9143.271127.9+12.0
371163.2236.121162.5-0.7
381177.40.891177.7+0.3
391182.126.501180.5-1.6
401188.139.971188.3+0.3
411216.3154.111217.7+1.4
421217.12.591230.3+13.1
431250.532.681251.3+0.8
441256.830.751266.4+9.6
451293.322.911302.7+9.5
461359.030.731358.8-0.2
471385.1119.891406.4+21.3
481416.120.811422.2+6.1
491426.043.341433.8+7.8
501470.10.611481.5+11.4
511496.117.051500.7+4.6
521512.420.661521.6+9.2
531514.88.851528.2+13.4
541534.14.731533.6-0.5
551556.79.741583.0+26.3
561613.838.641646.7+32.9
571654.834.051683.2+28.4
581677.838.591722.9+45.0
591812.8347.821848.0+35.3
603042.854.593079.6+36.7
613136.331.983180.6+44.2
623171.013.793217.4+46.4
633182.00.423225.2+43.2
643191.32.633234.6+43.3
653194.025.433236.7+42.6
663207.229.673249.7+42.5
673232.77.433276.2+43.5
683241.13.533284.7+43.5
693698.482.293738.6+40.2

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 3 cm⁻¹; wb97x max |Δω| 20 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-hel1-21, 2026-09-29 09:58:05 → 2026-09-29 11:25:03, 5218 s, peak 5.69 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