Spectrum Atlas

naphthalene+CN+OCH3 C12H9NO

B_3255db67cb · SMILES COc1ccc2cc(C#N)ccc2c1 · InChIKey SWEFYGCKCMJSPD-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 0.05.0101520 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.05.0101520 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.05.0101520 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

40 infrared-active bands (500–3500 cm⁻¹); the strongest at 1322 cm⁻¹ (7.6 µm), 351 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
154.30.0076.0+21.6
290.08.34121.8+31.8
3122.43.57140.7+18.3
4170.00.03188.4+18.4
5186.00.62197.5+11.5
6219.03.73234.3+15.3
7247.00.00290.7+43.8
8316.80.71320.8+4.1
9319.33.06337.8+18.5
10372.41.87384.0+11.6
11414.40.24428.5+14.2
12483.510.30495.3+11.8
13490.30.00496.9+6.6
14491.40.78507.7+16.3
15525.50.01530.5+5.0
16575.21.08589.7+14.5
17589.420.40597.5+8.1
18597.82.34607.8+10.1
19676.93.34691.1+14.2
20687.32.42692.0+4.7
21758.81.93766.0+7.2
22763.90.87781.3+17.5
23819.726.58832.2+12.5
24828.51.67840.0+11.4
25830.12.12842.9+12.8
26888.832.39909.5+20.7
27915.519.81944.0+28.4
28943.34.45952.3+9.0
29957.71.94988.4+30.7
30974.80.07993.6+18.8
31983.30.661003.9+20.6
321077.352.761096.1+18.8
331165.57.931169.5+4.1
341182.50.741183.5+0.9
351185.320.381195.3+10.0
361199.58.411195.8-3.8
371203.4116.331212.7+9.3
381217.94.341222.5+4.6
391283.030.621285.8+2.8
401299.86.941308.7+8.9
411322.5351.411332.1+9.6
421381.913.711391.5+9.6
431415.418.801404.7-10.7
441420.00.801424.9+4.9
451460.50.931480.9+20.3
461499.830.471510.5+10.6
471523.56.001537.8+14.3
481530.172.001544.0+13.9
491535.64.131553.5+17.9
501553.373.631579.5+26.2
511613.710.911645.1+31.4
521661.526.131691.2+29.7
531684.7188.341730.3+45.5
542342.670.522382.6+40.0
553030.969.443066.7+35.8
563092.740.013140.3+47.6
573162.825.283205.7+42.8
583189.66.593233.1+43.6
593192.55.683235.8+43.3
603204.25.343247.1+42.9
613209.34.853252.3+43.1
623219.88.153262.1+42.2
633231.610.893276.1+44.5

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 1 cm⁻¹; wb97x max |Δω| 35 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-hel1-14, 2026-09-29 05:55:37 → 2026-09-29 07:04:55, 4157 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