Spectrum Atlas

naphthalene+CH3+NO2 C11H9NO2

B_2de8fb1eb7 · SMILES Cc1cc([N+](=O)[O-])cc2ccccc12 · InChIKey ZHWLZNWJMCOUIZ-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 0.05.01015 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.05.01015 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.05.01015 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

38 infrared-active bands (500–3500 cm⁻¹); the strongest at 1389 cm⁻¹ (7.2 µm), 278 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)

63 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
157.00.05108.7+51.7
293.30.72125.3+32.0
3147.00.18157.8+10.9
4180.10.02203.5+23.4
5187.71.16213.7+26.0
6216.71.26249.1+32.4
7277.00.60286.0+9.0
8286.74.15299.7+13.0
9343.10.43348.3+5.3
10411.20.13423.1+11.9
11432.23.79442.8+10.6
12502.41.21513.7+11.4
13508.42.12514.2+5.7
14535.80.88540.9+5.1
15545.22.58554.3+9.1
16584.61.47591.5+6.9
17615.16.88619.3+4.2
18629.80.53643.3+13.4
19742.01.25751.1+9.1
20748.70.14763.4+14.7
21778.038.91792.8+14.8
22790.817.74804.3+13.5
23802.834.32815.6+12.8
24876.50.14892.1+15.6
25889.02.92896.9+7.9
26913.02.96921.1+8.2
27934.617.61955.8+21.2
28960.514.41975.6+15.1
29966.85.63996.0+29.2
30998.10.041025.9+27.8
311016.91.621026.9+10.0
321056.34.181064.3+8.0
331079.22.431089.8+10.6
341092.50.111099.7+7.2
351120.754.481131.9+11.1
361179.55.121172.8-6.8
371200.00.591195.8-4.2
381239.91.291233.1-6.8
391265.53.711261.9-3.6
401304.31.491310.4+6.1
411389.4278.241386.0-3.4
421396.2166.381420.5+24.3
431412.84.451433.3+20.5
441430.57.581442.6+12.1
451445.42.551461.2+15.9
461472.922.791482.6+9.7
471497.90.451515.6+17.7
481514.77.941525.4+10.7
491530.03.791541.5+11.5
501564.519.031592.0+27.4
511619.4113.721645.7+26.2
521648.00.131679.7+31.7
531666.267.451694.4+28.2
541679.226.141723.8+44.7
553045.121.173081.3+36.1
563095.816.123146.6+50.7
573137.513.503184.3+46.8
583187.20.363229.7+42.6
593195.38.783237.9+42.6
603210.423.183252.8+42.4
613221.016.463264.4+43.3
623241.41.123284.6+43.2
633244.32.113287.6+43.3

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 2 cm⁻¹; wb97x max |Δω| 21 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 03:04:27 → 2026-09-29 04:04:07, 3580 s, peak 4.57 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