Spectrum Atlas

naphthalene+CH3+SH C11H10S

B_026983edcc · SMILES Cc1ccc2ccccc2c1S · InChIKey SPHFCVIKFFAFLR-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

47 infrared-active bands (500–3500 cm⁻¹); the strongest at 828 cm⁻¹ (12.1 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
192.50.90107.9+15.4
2119.10.35132.0+12.9
3131.90.31160.9+29.0
4181.511.94218.4+36.9
5218.10.72232.1+14.0
6267.47.16284.7+17.3
7299.30.53308.9+9.6
8303.94.69335.6+31.6
9397.30.47402.9+5.6
10425.61.00436.4+10.8
11435.50.67441.1+5.6
12497.41.91506.2+8.8
13517.10.32529.8+12.7
14541.70.60546.7+5.0
15546.84.43555.3+8.6
16653.52.20672.5+19.0
17666.54.42673.5+7.0
18726.62.53731.8+5.2
19758.613.97767.1+8.5
20786.310.39800.8+14.5
21827.635.77843.3+15.7
22837.21.58848.3+11.1
23883.14.59899.2+16.1
24885.73.19902.8+17.0
25952.42.67978.6+26.3
26957.22.64984.2+27.0
27965.80.72998.0+32.3
28990.40.151010.3+19.9
29999.05.451020.2+21.1
301055.53.711065.4+9.9
311067.92.321077.1+9.2
321074.011.511085.1+11.1
331171.11.031165.9-5.2
341190.22.781180.4-9.8
351199.10.221205.2+6.1
361242.42.871241.0-1.4
371255.66.951266.2+10.6
381296.28.331303.9+7.7
391360.57.821372.6+12.2
401401.95.351400.5-1.4
411405.07.451411.7+6.7
421445.60.801457.5+11.9
431469.81.011483.9+14.1
441509.16.911517.3+8.2
451511.32.061524.5+13.2
461525.05.091535.1+10.0
471561.318.491588.9+27.6
481608.77.801643.4+34.7
491655.06.361683.4+28.4
501677.02.861721.9+44.9
512674.115.542723.8+49.7
523047.023.023083.5+36.4
533102.714.253152.8+50.1
543130.815.253179.0+48.2
553178.32.503222.6+44.3
563180.74.553223.9+43.3
573190.711.063233.9+43.2
583197.834.373241.7+43.8
593206.631.423249.6+42.9
603226.010.273271.3+45.3

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 1 cm⁻¹; wb97x max |Δω| 17 cm⁻¹.

Provenance

  • Releases: layerB_interim_2026-09-25
  • Entered the corpus as: cores with one or two substituents, enumerated from the parents (layer B)
  • Run: ubuntu-32gb-hel1-16, 2026-09-25 11:51:32 → 2026-09-25 12:41:41, 3009 s, peak 4.11 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