Spectrum Atlas

naphthalene+CH3+NO2 C11H9NO2

B_094bb73460 · SMILES Cc1cccc2cc([N+](=O)[O-])ccc12 · InChIKey SOXBGESONWKYDX-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 0.0102030 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.0102030 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.0102030 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

37 infrared-active bands (500–3500 cm⁻¹); the strongest at 1394 cm⁻¹ (7.2 µm), 446 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
157.00.0093.3+36.2
282.70.79123.5+40.9
3147.50.05159.7+12.2
4178.60.88194.1+15.4
5181.40.23222.6+41.2
6249.25.78258.6+9.4
7259.40.64271.6+12.2
8279.10.55286.7+7.6
9356.60.82365.8+9.3
10425.92.23432.0+6.2
11438.40.09446.9+8.5
12490.31.08494.9+4.6
13494.20.03507.2+12.9
14551.34.59559.6+8.3
15557.43.20563.9+6.5
16578.53.54582.8+4.4
17621.43.13629.2+7.9
18627.20.18641.9+14.7
19725.30.38732.4+7.1
20742.16.82756.7+14.6
21778.716.41791.2+12.5
22805.329.62817.6+12.4
23807.232.38818.2+11.0
24852.312.77864.9+12.6
25854.010.17865.0+10.9
26914.64.90928.9+14.2
27945.112.04959.2+14.1
28947.68.80961.0+13.4
29983.20.451009.9+26.7
30985.91.851014.5+28.6
311004.41.491015.0+10.6
321078.53.061083.9+5.4
331078.912.711089.3+10.4
341110.04.781114.2+4.2
351124.644.621138.7+14.1
361181.93.331183.0+1.1
371201.20.701196.4-4.8
381244.50.401235.8-8.7
391274.50.391280.8+6.3
401295.69.161302.9+7.3
411381.816.541375.8-6.0
421394.3446.401421.9+27.7
431414.83.031423.2+8.4
441424.23.161442.0+17.8
451445.81.071460.1+14.3
461473.23.851485.3+12.2
471504.81.571522.6+17.8
481515.47.461522.9+7.5
491531.211.091542.3+11.1
501560.09.561589.7+29.6
511622.2113.041648.9+26.6
521646.12.981678.1+32.1
531664.560.561692.7+28.2
541679.338.321723.0+43.8
553043.223.123079.1+35.9
563094.016.773144.7+50.7
573132.215.263179.3+47.1
583183.97.753227.0+43.1
593192.811.883235.7+42.8
603210.424.703252.9+42.5
613219.16.143262.8+43.6
623239.10.823282.3+43.2
633255.22.133298.0+42.8

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 1 cm⁻¹; wb97x max |Δω| 30 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, 2026-09-27 17:37:48 → 2026-09-27 18:40:34, 3766 s, peak 4.67 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