Spectrum Atlas

naphthalene+CH3+CH3 C12H12

B_0e79b7f612 · SMILES Cc1cccc2c(C)cccc12 · InChIKey SDDBCEWUYXVGCQ-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 0.01.02.03.04.0 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.01.02.03.04.0 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.01.02.03.04.0 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

25 infrared-active bands (500–3500 cm⁻¹); the strongest at 808 cm⁻¹ (12.4 µm), 67 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
198.50.3296.9-1.6
2168.40.06169.1+0.8
3192.20.00174.0-18.2
4196.62.29204.8+8.2
5209.00.00215.0+6.0
6261.60.44264.8+3.2
7272.03.68273.1+1.1
8333.10.00335.6+2.6
9466.90.00472.3+5.4
10468.60.00479.6+11.0
11482.00.00495.8+13.7
12493.31.30498.1+4.8
13518.60.00521.9+3.3
14536.25.27539.5+3.3
15583.30.87589.2+6.0
16644.10.00651.2+7.1
17645.90.00660.9+15.0
18751.50.00757.1+5.6
19798.82.49803.2+4.5
20807.766.63820.8+13.1
21823.80.00839.6+15.8
22865.50.00874.0+8.5
23893.51.37905.2+11.7
24901.60.28923.4+21.7
25913.50.00934.3+20.8
26971.31.201003.7+32.4
27972.60.001004.1+31.5
281013.30.001019.2+5.9
291043.62.271043.7+0.1
301076.80.001084.5+7.7
311078.14.161086.0+8.0
321099.86.401099.7-0.1
331131.70.001139.2+7.6
341166.30.001179.5+13.2
351206.40.241198.1-8.2
361206.50.941213.3+6.8
371251.32.801242.3-9.0
381267.70.001280.4+12.8
391293.62.441303.6+10.0
401385.30.951375.3-10.0
411400.30.001408.0+7.7
421442.10.001450.8+8.7
431444.40.601453.9+9.6
441455.30.231465.9+10.6
451455.917.111468.7+12.8
461513.50.001517.6+4.1
471515.38.031517.6+2.3
481515.34.721532.1+16.9
491528.318.371533.3+4.9
501536.20.001543.1+6.8
511566.28.541597.3+31.2
521642.50.001678.0+35.4
531659.313.021684.3+25.0
541675.20.001717.9+42.7
553039.252.653075.8+36.6
563039.57.263076.1+36.7
573088.80.023140.3+51.6
583088.841.143140.4+51.6
593126.42.003174.0+47.6
603126.535.383174.1+47.6
613176.325.083220.2+43.9
623177.00.243220.8+43.8
633193.42.893237.2+43.7
643193.647.153237.2+43.7
653215.330.363259.6+44.3
663216.010.933260.4+44.3

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 1 cm⁻¹; wb97x max |Δω| 32 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, 2026-09-27 23:36:18 → 2026-09-28 00:36:05, 3586 s, peak 4.57 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