Spectrum Atlas

naphthalene+CH3+CH3 C12H12

B_0424c4ffc2 · SMILES Cc1ccc2ccccc2c1C · InChIKey QNLZIZAQLLYXTC-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 0.00.51.01.52.02.5 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.00.51.01.52.02.5 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.00.51.01.52.02.5 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

50 infrared-active bands (500–3500 cm⁻¹); the strongest at 3193 cm⁻¹ (3.1 µm), 40 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)

66 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
197.40.2184.4-13.0
2122.50.42128.2+5.7
3149.70.53155.8+6.1
4161.80.09191.3+29.6
5225.71.52232.6+6.9
6280.50.63284.7+4.2
7303.51.65313.3+9.8
8348.50.06351.2+2.7
9427.11.63438.7+11.6
10437.40.35441.3+3.9
11468.71.42471.8+3.1
12518.20.21527.8+9.5
13523.10.04528.0+4.9
14546.34.01555.6+9.4
15581.41.05585.3+3.8
16654.50.97667.8+13.4
17694.80.52701.1+6.4
18734.61.68739.5+4.9
19757.917.51768.6+10.6
20790.48.20805.5+15.0
21826.636.89838.5+11.9
22871.80.19879.8+8.0
23881.22.14893.2+12.0
24885.41.92899.8+14.4
25950.20.60981.4+31.2
26960.41.01991.5+31.1
27986.70.021017.5+30.8
281017.37.371017.6+0.3
291054.72.701058.7+4.0
301055.23.311062.9+7.7
311079.90.271087.0+7.1
321085.80.201094.7+8.9
331105.82.451114.0+8.2
341183.40.881173.1-10.3
351194.60.641194.5-0.1
361213.33.001215.3+2.0
371247.33.031242.3-5.0
381263.12.631273.4+10.2
391298.62.941307.5+8.9
401380.31.921379.6-0.8
411410.20.481416.7+6.5
421425.76.391428.3+2.6
431440.71.511453.0+12.3
441447.81.451457.5+9.7
451473.40.451488.2+14.8
461506.71.271515.7+9.0
471512.210.911516.2+4.0
481525.73.741537.2+11.5
491533.30.001538.4+5.0
501540.36.531547.2+6.9
511565.712.581593.4+27.7
521626.42.561660.2+33.8
531658.37.761686.3+28.0
541679.92.161725.0+45.2
553041.520.073078.9+37.3
563043.237.713080.1+36.9
573086.422.993138.3+51.9
583094.116.193145.1+51.0
593123.319.683171.2+47.9
603159.219.433206.3+47.1
613173.15.803217.6+44.5
623176.03.923219.4+43.4
633186.39.633229.9+43.5
643192.839.703236.8+44.0
653202.634.723246.1+43.4
663217.418.613261.7+44.3

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 1 cm⁻¹; wb97x max |Δω| 22 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 15:43:38 → 2026-09-27 16:35:59, 3140 s, peak 4.28 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