Spectrum Atlas

carbazole C12H9N

A_8152ea74fd · SMILES c1ccc2c(c1)[nH]c1ccccc12 · InChIKey UJOBWOGCFQCDNV-UHFFFAOYSA-N

Cheap level done analytic check agrees

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

32 infrared-active bands (500–3500 cm⁻¹); the strongest at 1270 cm⁻¹ (7.9 µm), 78 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
1104.05.11120.6+16.5
2152.20.00164.5+12.3
3219.30.28227.1+7.8
4280.729.30297.5+16.8
5297.30.00308.9+11.6
6348.667.71365.6+17.1
7433.46.51439.5+6.1
8435.01.14447.4+12.4
9455.20.00466.4+11.3
10514.13.99519.4+5.2
11563.40.16567.6+4.1
12576.610.71592.8+16.2
13585.20.00599.4+14.3
14631.36.10635.2+3.9
15669.40.57675.0+5.6
16741.244.72756.0+14.8
17754.50.00768.6+14.1
18760.21.42769.4+9.2
19763.261.39783.3+20.1
20790.70.00809.6+19.0
21856.30.34873.5+17.3
22861.90.00882.3+20.4
23865.62.26887.4+21.7
24889.50.27897.3+7.8
25924.31.46963.6+39.3
26924.50.00964.7+40.2
27964.60.00999.0+34.4
28966.60.001000.1+33.6
291020.54.521028.2+7.8
301046.00.271059.0+13.0
311051.13.591062.6+11.5
321136.52.181145.7+9.1
331149.88.231158.5+8.6
341184.06.631179.4-4.6
351191.50.231190.4-1.1
361241.36.171247.9+6.6
371246.20.671256.2+10.0
381270.177.781278.3+8.3
391322.44.751328.8+6.5
401349.40.341350.4+1.0
411370.766.161355.9-14.8
421387.19.561369.1-17.9
431442.711.621448.6+5.9
441493.832.561510.0+16.2
451511.232.791523.7+12.4
461533.60.011554.5+20.9
471544.734.181564.1+19.4
481631.30.001663.0+31.7
491636.31.881668.6+32.4
501666.839.691702.0+35.2
511681.63.551726.6+45.0
523181.00.093224.3+43.3
533181.73.173224.8+43.1
543186.84.143230.7+43.8
553188.20.943231.4+43.2
563197.54.893241.0+43.5
573198.061.433241.3+43.3
583209.028.233251.8+42.9
593209.334.743252.4+43.1
603664.247.913711.6+47.4

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 1 cm⁻¹; wb97x max |Δω| 5 cm⁻¹.

Provenance

  • Releases: layerA2_2026-09-23, layerA2_2026-09-23b, layerA2_2026-09-24, layerA_2026-09-22
  • Entered the corpus as: parent molecules chosen by hand (benzene, naphthalene, the PAH cores and their relatives) (layer A)
  • Run: ubuntu-32gb-hel1-2, 2026-09-18 20:32:54 → 2026-09-18 21:20:02, 2827 s, peak 4.26 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