Spectrum Atlas

naphthalene+OCH3+vinyl C13H12O

B_5d15d13032 · SMILES C=Cc1ccc2c(OC)cccc2c1 · InChIKey HMGXXBICLKPSMR-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 0.02.04.06.08.0 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.02.04.06.08.0 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.02.04.06.08.0 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

54 infrared-active bands (500–3500 cm⁻¹); the strongest at 1310 cm⁻¹ (7.6 µm), 136 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
130.30.0936.9+6.6
276.73.6086.1+9.4
3124.50.09129.2+4.7
4141.22.32154.7+13.5
5155.91.15164.1+8.2
6224.70.98233.1+8.4
7235.00.33238.6+3.6
8279.10.21284.2+5.1
9296.10.17302.3+6.3
10323.80.83329.0+5.1
11424.43.27437.2+12.8
12441.00.52445.9+4.9
13453.40.02457.9+4.5
14492.01.61500.0+8.0
15513.33.62518.3+5.0
16542.08.36546.0+4.0
17590.70.15603.8+13.1
18611.17.78616.9+5.8
19630.63.17645.0+14.4
20706.01.76712.0+6.0
21712.81.16722.6+9.8
22741.36.93748.8+7.5
23771.120.40783.0+11.9
24802.022.07820.5+18.4
25845.74.84852.8+7.0
26852.820.59868.0+15.2
27861.77.72885.4+23.7
28905.710.59931.0+25.3
29921.837.92951.9+30.1
30942.45.35957.1+14.7
31962.41.25993.3+30.9
32971.70.151003.7+32.0
331020.93.931033.9+12.9
341036.014.411046.4+10.5
351082.60.161087.4+4.7
361103.316.661111.3+8.0
371143.594.911151.2+7.8
381183.72.731188.9+5.3
391185.70.921192.5+6.8
401200.23.701204.7+4.5
411211.711.011217.0+5.3
421229.514.231225.0-4.5
431248.720.791240.2-8.5
441287.376.071295.7+8.4
451310.2136.291321.4+11.2
461352.10.831354.7+2.6
471395.32.811387.1-8.2
481412.815.741421.2+8.4
491430.437.581440.0+9.5
501471.351.071479.2+7.9
511481.543.841492.3+10.8
521504.55.971511.0+6.5
531514.73.901527.2+12.4
541519.75.571532.9+13.2
551535.328.221540.8+5.5
561558.312.531586.0+27.7
571629.570.551661.8+32.3
581655.831.251684.2+28.3
591678.88.851728.5+49.7
601714.39.841746.4+32.2
613027.164.643063.1+36.0
623086.841.793135.2+48.3
633148.520.923192.3+43.9
643157.924.403201.1+43.2
653170.03.773210.6+40.6
663181.919.613225.5+43.7
673183.00.663226.7+43.7
683188.710.663233.2+44.5
693200.931.473244.2+43.4
703228.514.253273.0+44.5
713229.67.343273.7+44.1
723247.516.883292.2+44.7

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 6 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-hel1-16, 2026-09-29 20:27:59 → 2026-09-29 21:40:38, 4358 s, peak 5.19 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