Spectrum Atlas

carbazole+COOH C13H9NO2

A2_253cbb1c94 · SMILES O=C(O)c1ccc2c(c1)[nH]c1ccccc12 · InChIKey SNHLDNRYSKNZRC-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 0.05.0101520 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.05.0101520 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.05.0101520 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

45 infrared-active bands (500–3500 cm⁻¹); the strongest at 1194 cm⁻¹ (8.4 µm), 363 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)

69 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
159.90.6271.9+12.1
263.31.4798.6+35.3
3137.81.40146.8+9.0
4144.41.66156.7+12.2
5181.71.05193.6+11.9
6239.00.96245.6+6.6
7290.416.82304.6+14.2
8311.91.25316.6+4.7
9323.80.36336.9+13.1
10362.083.82372.4+10.4
11435.813.17446.8+11.0
12458.71.00466.3+7.6
13475.42.30481.3+5.9
14500.222.21505.0+4.8
15555.72.23560.7+5.0
16558.519.65575.5+17.0
17570.92.43584.3+13.5
18578.94.96594.4+15.6
19637.220.57645.7+8.5
20644.366.10678.2+33.9
21675.234.36682.4+7.2
22734.921.65743.5+8.5
23741.22.93758.3+17.1
24760.830.21779.0+18.2
25762.293.80779.8+17.6
26779.06.23787.4+8.4
27794.11.17811.3+17.2
28844.73.74862.5+17.8
29862.40.87886.5+24.1
30881.12.53888.5+7.4
31910.69.88930.3+19.7
32929.70.55953.1+23.4
33944.410.58966.8+22.4
34957.30.24985.1+27.8
35970.50.031004.2+33.6
361019.56.201028.1+8.7
371047.71.291056.7+9.0
381111.144.781120.3+9.2
391141.810.261149.4+7.6
401166.72.881167.8+1.2
411188.5103.481183.7-4.8
421193.8362.541223.6+29.8
431242.26.841244.3+2.1
441250.815.411261.2+10.4
451272.998.021282.6+9.7
461311.34.751320.4+9.1
471348.72.121336.5-12.2
481368.468.741359.7-8.7
491389.415.681371.6-17.8
501394.1166.561414.5+20.4
511426.325.391432.1+5.8
521488.265.051502.1+13.9
531507.029.321519.8+12.7
541537.11.411560.3+23.2
551548.595.041569.6+21.1
561617.91.831650.2+32.3
571632.91.831664.9+32.0
581666.83.801703.3+36.5
591681.056.751728.2+47.1
601812.0360.421846.7+34.7
613184.60.793227.5+42.9
623191.02.713234.2+43.2
633195.75.273238.3+42.7
643200.932.103243.7+42.8
653212.530.983254.9+42.4
663221.71.043265.6+43.9
673236.93.223280.3+43.3
683663.955.503710.0+46.0
693699.787.723740.1+40.4

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 2 cm⁻¹; wb97x max |Δω| 8 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-hel1-12, 2026-09-21 09:53:04 → 2026-09-21 11:13:19, 4815 s, peak 5.54 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