Spectrum Atlas

fluorene C13H10

A_e72997e726 · SMILES c1ccc2c(c1)Cc1ccccc1-2 · InChIKey NIHNNTQXNPWCJQ-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 0.02.04.06.0 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.02.04.06.0 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.02.04.06.0 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

30 infrared-active bands (500–3500 cm⁻¹); the strongest at 759 cm⁻¹ (13.2 µm), 90 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
199.70.33114.7+15.0
2138.80.00151.7+12.9
3215.70.19221.3+5.6
4245.65.32266.0+20.4
5279.80.00289.9+10.1
6419.60.34423.2+3.6
7425.93.57437.6+11.7
8442.90.00451.6+8.7
9483.50.91497.1+13.6
10496.80.23500.4+3.7
11552.40.20556.8+4.3
12577.10.00588.3+11.2
13636.27.93639.9+3.7
14643.90.27647.6+3.7
15711.91.72728.6+16.6
16745.50.00759.3+13.8
17757.60.04762.7+5.1
18759.089.59769.4+10.4
19801.60.00815.4+13.8
20816.60.23826.0+9.4
21853.60.11860.1+6.6
22875.10.68895.2+20.1
23883.50.00905.6+22.1
24927.80.14954.1+26.4
25938.30.00970.9+32.6
26977.42.19997.2+19.8
27978.50.001009.9+31.5
28982.31.321012.0+29.7
291024.71.451033.1+8.4
301054.80.511064.1+9.3
311059.13.921067.2+8.1
321122.81.411129.6+6.8
331138.30.201146.4+8.1
341167.40.001181.3+13.8
351186.70.081184.1-2.6
361190.30.001190.6+0.3
371202.03.321210.6+8.6
381214.82.171225.7+10.9
391232.41.671241.9+9.4
401264.83.261267.1+2.3
411331.80.111323.6-8.3
421341.50.531334.3-7.1
431362.810.921363.8+1.0
441392.60.231375.2-17.4
451480.57.671495.8+15.3
461494.97.991507.8+13.0
471501.020.081511.6+10.6
481526.10.021543.2+17.0
491527.56.901549.6+22.1
501636.51.181667.4+30.9
511640.90.271674.6+33.7
521665.20.241703.7+38.5
531666.03.311711.7+45.7
543034.816.523078.4+43.6
553061.713.013116.7+54.9
563176.33.263219.6+43.3
573176.88.513219.9+43.1
583182.12.783226.0+43.8
593183.86.053227.0+43.2
603193.57.973237.1+43.6
613194.851.073237.5+42.7
623206.263.903249.1+43.0
633207.16.313249.8+42.7

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 1 cm⁻¹; wb97x max |Δω| 9 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, 2026-09-19 08:18:09 → 2026-09-19 09:12:57, 3287 s, peak 4.49 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