Spectrum Atlas

naphthalene+CH3+NO2 C11H9NO2

B_38fc2ba52a · SMILES Cc1cccc2c([N+](=O)[O-])cccc12 · InChIKey AOSRALZFDNFXFZ-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

43 infrared-active bands (500–3500 cm⁻¹); the strongest at 1377 cm⁻¹ (7.3 µm), 229 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
157.60.4889.3+31.7
273.00.84124.3+51.3
3174.20.25189.1+14.9
4180.91.41198.8+17.8
5198.31.58228.9+30.6
6218.92.45234.8+15.9
7256.81.06272.1+15.3
8295.60.37303.3+7.7
9369.21.45379.4+10.1
10395.61.51406.1+10.4
11457.12.55469.2+12.1
12480.10.41489.4+9.3
13497.70.92503.2+5.5
14506.51.63512.1+5.6
15553.43.21563.5+10.1
16589.21.36598.9+9.8
17609.13.30618.0+8.9
18647.62.17658.9+11.2
19745.08.70755.8+10.8
20758.76.43775.3+16.6
21777.320.96795.1+17.8
22801.00.63806.2+5.3
23812.762.94823.5+10.8
24840.72.19856.4+15.6
25867.51.58876.9+9.4
26899.223.77916.2+17.0
27923.10.28938.7+15.7
28947.10.95965.4+18.4
29987.21.321016.4+29.2
30993.50.471024.4+30.9
311023.97.961034.2+10.3
321078.12.111085.3+7.2
331103.65.771104.0+0.4
341115.99.081129.3+13.4
351136.90.341151.7+14.8
361199.90.561200.2+0.3
371211.53.921215.4+3.9
381228.613.721236.4+7.8
391256.810.381250.0-6.8
401285.93.811298.5+12.6
411376.7229.061375.3-1.3
421390.63.541395.5+4.9
431398.1105.791438.5+40.4
441440.020.631445.5+5.4
451445.43.601459.8+14.4
461460.32.211471.4+11.1
471506.76.101525.0+18.3
481516.87.351526.7+9.9
491531.917.051541.2+9.3
501562.78.921593.9+31.2
511617.6153.401642.7+25.1
521634.432.491669.1+34.8
531661.217.041687.7+26.5
541678.022.761721.3+43.2
553042.825.153079.2+36.4
563093.417.733144.4+51.0
573132.015.493179.3+47.4
583185.313.753228.3+43.0
593203.922.693246.3+42.4
603206.04.493248.5+42.5
613226.512.143270.1+43.6
623250.10.723292.8+42.6
633277.02.753321.4+44.4

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 1 cm⁻¹; wb97x max |Δω| 17 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 08:45:31 → 2026-09-29 09:46:45, 3673 s, peak 4.74 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