Spectrum Atlas

naphthalene+CH3+SH C11H10S

B_00a6eb272d · SMILES Cc1cccc2cc(S)ccc12 · InChIKey MOIPGONMGBCQEP-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 0.00.51.01.52.02.5 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.00.51.01.52.02.5 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.00.51.01.52.02.5 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

45 infrared-active bands (500–3500 cm⁻¹); the strongest at 1653 cm⁻¹ (6.0 µm), 39 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
188.90.0798.2+9.4
2140.39.18158.1+17.7
3148.012.56199.6+51.6
4180.90.66222.1+41.2
5189.20.88239.3+50.0
6246.81.61255.3+8.5
7273.00.01284.4+11.4
8293.90.44300.1+6.1
9373.92.02380.8+6.9
10421.34.25430.1+8.8
11459.02.22466.3+7.3
12491.72.89496.4+4.6
13510.11.81522.2+12.1
14561.20.51569.4+8.2
15579.02.67583.7+4.7
16625.14.18632.2+7.1
17640.70.46657.8+17.1
18726.00.24732.8+6.8
19765.53.37774.6+9.2
20798.114.75811.0+12.8
21830.833.28841.3+10.5
22833.18.30847.2+14.2
23874.716.07890.6+15.9
24902.514.42916.1+13.6
25908.71.22926.9+18.2
26945.613.44976.5+30.9
27963.80.03992.5+28.7
28973.50.921007.4+33.9
291001.95.951012.7+10.8
301076.60.161081.0+4.4
311077.42.211087.9+10.5
321109.31.451114.1+4.8
331129.237.651145.0+15.8
341196.72.091190.9-5.8
351205.03.031205.7+0.7
361238.010.261228.5-9.5
371275.50.061284.6+9.1
381303.02.241309.3+6.3
391391.63.471382.4-9.2
401402.54.541409.3+6.8
411414.40.351423.7+9.3
421444.20.941458.6+14.4
431473.816.371485.3+11.5
441504.33.751521.5+17.2
451515.36.731522.9+7.6
461532.01.701543.1+11.2
471551.722.571581.8+30.0
481630.32.181663.1+32.7
491653.138.901681.8+28.7
501674.222.591720.7+46.5
512694.111.792738.7+44.6
523039.528.173076.3+36.8
533089.419.853140.9+51.5
543128.118.403175.7+47.6
553176.94.043221.0+44.1
563179.82.603224.1+44.3
573185.329.123229.0+43.7
583191.53.913235.5+44.0
593203.434.903246.6+43.2
603214.612.983258.8+44.1

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 1 cm⁻¹; wb97x max |Δω| 23 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, 2026-09-27 06:44:34 → 2026-09-27 07:41:02, 3388 s, peak 4.17 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