Spectrum Atlas

naphthalene+CH3+NO2 C11H9NO2

B_2a99953b49 · SMILES Cc1ccc([N+](=O)[O-])c2ccccc12 · InChIKey FRLVKAJKOYFHKQ-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

39 infrared-active bands (500–3500 cm⁻¹); the strongest at 1381 cm⁻¹ (7.2 µm), 357 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
157.80.43105.7+48.0
288.41.07123.7+35.3
3129.60.16136.7+7.1
4185.30.62202.3+16.9
5196.51.66231.0+34.5
6231.12.44245.8+14.7
7288.50.91296.7+8.2
8303.22.27315.6+12.5
9350.00.44354.9+5.0
10403.71.82415.1+11.5
11427.41.35434.8+7.4
12479.40.16487.1+7.7
13482.71.21492.8+10.2
14531.10.30535.2+4.1
15549.53.71557.0+7.5
16612.13.63620.2+8.1
17637.60.83651.5+13.8
18646.93.20655.4+8.6
19718.30.78725.9+7.6
20748.40.45768.1+19.8
21785.638.97796.4+10.8
22789.722.09804.1+14.4
23801.80.51807.2+5.4
24833.737.89849.1+15.4
25858.716.30874.0+15.3
26888.50.37898.9+10.3
27967.44.90992.2+24.9
28969.02.83994.3+25.3
29982.413.851001.5+19.1
301003.10.091029.6+26.5
311025.22.811036.1+10.9
321066.36.731072.2+6.0
331075.42.691084.8+9.5
341092.01.001100.1+8.1
351172.21.261171.4-0.8
361191.98.141198.5+6.7
371199.77.541201.0+1.4
381225.115.161236.2+11.1
391270.72.441271.2+0.4
401301.715.291308.4+6.7
411370.41.091361.7-8.6
421380.5357.281401.0+20.4
431410.025.501431.8+21.8
441422.718.761439.0+16.3
451443.83.111457.9+14.0
461473.315.851479.7+6.3
471500.82.271521.1+20.3
481514.57.781521.6+7.1
491528.52.231538.5+10.1
501567.829.691596.9+29.1
511612.5135.571636.6+24.2
521632.838.191666.6+33.8
531661.137.261687.1+26.0
541677.614.321720.6+43.0
553046.718.943082.8+36.2
563099.413.513150.3+50.9
573136.015.693183.1+47.1
583191.55.483234.1+42.5
593198.914.063241.8+42.9
603206.419.443248.8+42.4
613223.815.373267.7+43.8
623249.90.553293.0+43.1
633277.42.973321.2+43.8

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 4 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-hel1-21, 2026-09-28 22:58:14 → 2026-09-29 00:03:15, 3900 s, peak 4.81 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