Spectrum Atlas

carbazole+SH C12H9NS

A2_13327d8d52 · SMILES Sc1cccc2c1[nH]c1ccccc12 · InChIKey VBYSNJGYQWXUEW-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 0.01.02.03.04.05.0 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.01.02.03.04.05.0 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.01.02.03.04.05.0 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

45 infrared-active bands (500–3500 cm⁻¹); the strongest at 1361 cm⁻¹ (7.3 µm), 77 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
186.10.5898.8+12.7
2116.35.64131.8+15.5
3139.417.08157.4+17.9
4151.51.11220.3+68.7
5205.40.91270.7+65.3
6267.30.30278.4+11.2
7297.20.74308.1+10.9
8306.92.09318.6+11.7
9387.70.68392.8+5.1
10433.142.49442.5+9.3
11445.740.40457.1+11.4
12459.91.52463.4+3.6
13504.54.79522.1+17.5
14553.49.92557.5+4.1
15575.50.62581.5+6.0
16580.010.35594.5+14.5
17586.70.22602.1+15.4
18646.45.16650.4+4.0
19697.00.67702.9+5.9
20747.07.54762.3+15.2
21762.031.39779.4+17.4
22766.750.50781.4+14.6
23806.74.52824.5+17.8
24819.00.24830.5+11.5
25861.90.30881.0+19.1
26873.41.06882.8+9.5
27894.40.35903.8+9.4
28911.13.97941.9+30.8
29927.10.69960.9+33.8
30937.524.54977.1+39.6
31960.01.40993.4+33.4
32968.30.001000.6+32.3
331041.84.271053.6+11.8
341053.12.661063.7+10.6
351087.03.531098.3+11.3
361143.73.691150.8+7.1
371172.814.741175.9+3.1
381189.42.051185.1-4.4
391221.96.091226.7+4.8
401242.07.211248.8+6.8
411261.359.071272.1+10.8
421307.533.151311.7+4.3
431342.54.181334.0-8.5
441361.177.241351.2-10.0
451382.010.571369.2-12.8
461434.78.891440.1+5.4
471465.642.811481.8+16.2
481501.831.571515.0+13.2
491528.83.381549.5+20.7
501544.152.221564.3+20.2
511620.51.981656.5+36.1
521631.92.331664.4+32.5
531657.340.251693.7+36.4
541676.610.121721.2+44.6
552631.429.982681.4+50.0
563183.30.763226.4+43.1
573188.34.213231.6+43.3
583190.01.053232.8+42.8
593199.827.463242.9+43.1
603202.516.343245.6+43.1
613211.332.373254.0+42.7
623215.215.013257.8+42.7
633650.761.183697.8+47.2

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 2 cm⁻¹; wb97x max |Δω| 15 cm⁻¹.

Provenance

  • Releases: layerA2_2026-09-23, layerA2_2026-09-23b, layerA2_2026-09-24
  • Entered the corpus as: substituted three- and four-ring cores, enumerated from the parents (layer A′) (layer A2)
  • Run: ubuntu-32gb-hel1-9, 2026-09-20 22:15:10 → 2026-09-20 23:26:25, 4274 s, peak 5.15 GB, deck 97ed2d67c66b
  • 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