Spectrum Atlas

naphthalene+OCH3+vinyl C13H12O

B_47bf043de9 · SMILES C=Cc1ccc2cccc(OC)c2c1 · InChIKey NJSRPLNNKBOXKF-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 0.02.04.06.0 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.02.04.06.0 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.02.04.06.0 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

51 infrared-active bands (500–3500 cm⁻¹); the strongest at 1313 cm⁻¹ (7.6 µm), 106 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)

72 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
118.80.0030.4+11.6
282.93.63100.7+17.7
3103.32.11118.1+14.8
4141.20.77145.5+4.2
5178.60.02189.4+10.8
6204.30.02216.2+11.9
7243.61.09251.3+7.8
8265.60.07281.5+15.9
9319.70.21324.9+5.2
10334.30.30338.9+4.6
11410.41.85413.7+3.4
12424.03.12431.3+7.3
13459.57.08464.1+4.5
14497.23.10506.4+9.2
15520.02.48523.1+3.1
16540.63.00541.4+0.9
17574.82.85586.9+12.0
18614.52.45620.1+5.6
19631.50.12642.1+10.6
20706.60.91711.5+4.9
21730.60.02740.5+10.0
22737.311.68744.1+6.8
23755.017.14762.9+7.9
24804.16.44818.9+14.8
25847.047.78863.4+16.4
26871.51.04878.5+7.0
27875.14.71894.3+19.1
28914.00.43922.0+8.0
29916.50.27935.1+18.6
30919.741.84950.1+30.4
31958.20.51988.6+30.4
32968.90.81999.1+30.1
331026.515.391038.3+11.8
341035.814.501049.8+14.0
351082.02.541083.5+1.6
361104.520.971107.5+3.0
371138.266.111150.7+12.5
381184.711.401177.3-7.4
391185.20.921192.8+7.7
401194.02.211193.8-0.3
411214.27.151218.3+4.1
421239.912.731241.2+1.3
431255.613.831253.9-1.7
441283.383.501286.5+3.2
451312.7105.531320.9+8.2
461349.21.451353.5+4.3
471383.32.831379.9-3.4
481420.83.721425.4+4.6
491431.482.711431.8+0.5
501474.12.721478.1+4.0
511485.534.921495.9+10.4
521498.76.561510.4+11.7
531515.135.521530.1+15.1
541519.55.601531.9+12.4
551536.613.001546.1+9.5
561559.28.161584.7+25.5
571624.960.581656.0+31.1
581657.611.181686.3+28.7
591677.516.241727.4+49.9
601714.28.291745.5+31.3
613027.863.083064.0+36.2
623087.641.243135.9+48.3
633146.522.993190.4+44.0
643158.221.023201.5+43.3
653171.24.843211.0+39.8
663174.69.833218.3+43.7
673183.50.413226.9+43.5
683192.628.433236.4+43.8
693201.036.693244.4+43.4
703228.216.353272.7+44.5
713230.33.643276.1+45.8
723248.415.753292.8+44.4

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 3 cm⁻¹; wb97x max |Δω| 20 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, 2026-09-29 18:08:01 → 2026-09-29 19:25:14, 4633 s, peak 5.49 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