Spectrum Atlas

naphthalene+CHO+OCH3 C12H10O2

B_387aa8d2df · SMILES COc1ccc2c(C=O)cccc2c1 · InChIKey RQSRLHYBIGCTIS-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

45 infrared-active bands (500–3500 cm⁻¹); the strongest at 1321 cm⁻¹ (7.6 µm), 289 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
161.70.1367.7+6.0
284.07.98100.5+16.5
3110.85.50162.2+51.4
4149.00.00169.7+20.7
5165.01.25173.7+8.7
6228.21.82220.5-7.6
7248.60.69250.0+1.4
8258.76.12268.0+9.4
9321.83.58329.8+8.1
10344.10.67347.5+3.4
11353.93.73360.5+6.6
12425.71.40435.7+10.0
13466.53.54471.5+5.0
14512.64.20520.5+7.9
15536.84.27541.8+5.0
16564.70.40570.0+5.2
17564.86.07575.0+10.2
18640.826.58646.8+6.0
19649.10.00663.0+13.9
20726.64.64730.8+4.2
21760.00.71770.1+10.1
22792.926.07801.4+8.4
23809.333.06821.9+12.7
24826.113.44843.9+17.8
25850.13.58858.9+8.8
26885.434.96896.3+11.0
27942.50.04956.6+14.0
28945.620.48963.0+17.5
29948.30.03974.3+26.0
30989.51.261021.4+31.9
311018.40.021043.0+24.6
321031.219.721044.0+12.9
331087.243.281102.4+15.1
341112.119.141120.7+8.6
351183.70.721183.0-0.7
361195.13.501184.4-10.8
371203.880.091206.5+2.7
381210.35.811214.0+3.7
391221.717.661218.3-3.3
401252.466.981261.9+9.5
411294.957.211303.1+8.2
421320.9289.311328.2+7.4
431389.712.061379.1-10.6
441401.76.911406.3+4.6
451416.84.611429.3+12.5
461461.42.591472.5+11.1
471478.931.381490.9+12.0
481499.430.101506.5+7.1
491520.427.471525.6+5.2
501523.25.671534.3+11.1
511534.634.021541.4+6.8
521571.1110.381599.8+28.7
531619.426.331655.4+36.0
541650.210.041677.7+27.5
551684.8115.661727.0+42.2
561783.1252.191816.2+33.2
572958.295.283011.7+53.5
583027.365.563063.4+36.1
593087.542.753135.3+47.8
603159.926.683202.8+42.9
613183.83.383227.2+43.4
623203.116.623246.1+43.0
633206.312.583249.3+43.0
643214.64.713259.4+44.9
653221.64.213264.9+43.3
663231.614.073276.1+44.5

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 07:40:02 → 2026-09-29 08:45:31, 3928 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