Spectrum Atlas

naphthalene+CH3+CN C12H9N

B_089a8027aa · SMILES Cc1ccc2c(C#N)cccc2c1 · InChIKey WKKYKNUFFPNPQW-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 0.00.51.01.52.0 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.00.51.01.52.0 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.00.51.01.52.0 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

45 infrared-active bands (500–3500 cm⁻¹); the strongest at 2340 cm⁻¹ (4.3 µm), 36 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)

60 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
189.90.0060.2-29.7
294.51.39104.8+10.3
3129.15.04146.2+17.2
4136.02.62149.6+13.7
5204.40.14217.3+12.9
6268.91.32275.4+6.5
7283.30.43292.1+8.8
8386.21.34395.8+9.6
9389.90.77407.8+18.0
10447.90.14452.0+4.1
11454.20.92457.7+3.5
12469.810.43482.3+12.4
13509.32.17518.7+9.5
14555.81.34560.6+4.8
15600.90.40613.9+13.0
16608.90.59623.0+14.1
17652.40.01664.0+11.6
18703.70.27709.8+6.1
19722.71.97727.6+4.9
20767.58.66780.1+12.6
21819.017.83834.0+15.0
22844.732.57853.3+8.6
23846.20.91856.8+10.7
24899.17.02917.3+18.2
25933.20.34958.6+25.4
26948.80.65959.1+10.3
27982.30.331010.8+28.4
28984.40.951017.1+32.6
291036.37.071037.2+0.9
301043.60.331051.4+7.7
311077.74.721084.0+6.3
321104.91.461113.3+8.5
331194.51.271192.0-2.5
341200.40.711195.9-4.5
351210.21.841208.5-1.6
361253.25.641246.0-7.3
371271.21.591280.6+9.4
381304.82.971311.6+6.8
391385.75.931376.1-9.6
401409.70.151418.0+8.3
411416.011.991422.3+6.3
421444.20.091453.2+8.9
431475.12.451488.9+13.8
441509.42.411513.7+4.3
451512.86.161521.1+8.3
461525.45.101537.3+11.8
471559.716.671589.1+29.4
481628.22.931663.3+35.1
491648.75.431677.6+28.9
501687.28.781730.0+42.8
512339.735.812380.1+40.4
523043.731.303078.6+34.9
533095.117.643145.2+50.1
543129.614.843176.4+46.8
553177.312.493221.5+44.2
563183.810.863226.9+43.1
573187.16.683230.3+43.1
583207.015.373249.2+42.2
593209.25.043251.9+42.7
603221.98.823263.8+41.9

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 1 cm⁻¹; wb97x max |Δω| 41 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, 2026-09-26 03:39:29 → 2026-09-26 04:27:38, 2889 s, peak 4.19 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