Spectrum Atlas

fluorene+CH3 C14H12

A2_27edf7297c · SMILES Cc1ccc2c(c1)Cc1ccccc1-2 · InChIKey RKJHJMAZNPASHY-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 0.01.02.03.0 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.01.02.03.0 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.01.02.03.0 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

53 infrared-active bands (500–3500 cm⁻¹); the strongest at 3194 cm⁻¹ (3.1 µm), 52 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)

72 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
129.70.2876.2+46.5
274.20.38111.5+37.3
3135.80.00150.4+14.6
4184.40.27190.6+6.1
5198.50.32209.4+10.9
6245.14.90264.7+19.6
7318.80.08322.6+3.8
8332.50.75343.8+11.3
9398.80.13402.9+4.1
10429.74.91440.9+11.2
11443.00.20451.9+8.9
12503.60.12514.5+10.9
13510.30.42516.8+6.4
14553.50.92558.0+4.5
15583.81.80589.2+5.4
16587.61.23597.6+10.0
17657.91.46662.5+4.6
18713.00.00727.9+14.9
19722.71.56730.7+8.0
20749.226.41762.8+13.6
21773.70.39780.9+7.2
22784.430.82798.0+13.6
23836.80.43844.9+8.1
24837.612.09853.4+15.8
25878.00.06898.7+20.7
26894.01.04910.5+16.4
27932.50.23943.6+11.1
28933.00.21962.6+29.6
29948.90.16977.9+29.0
30976.81.63995.6+18.8
31980.11.701011.1+31.0
321023.91.551031.3+7.4
331029.20.521034.2+5.0
341057.02.601067.8+10.8
351073.814.171082.1+8.3
361126.70.821135.5+8.8
371153.81.851162.8+8.9
381167.30.021170.9+3.6
391169.31.511186.0+16.6
401189.50.281189.4-0.0
411207.23.251218.4+11.3
421233.31.131242.7+9.4
431246.61.931250.5+3.8
441278.82.231289.1+10.4
451328.50.471320.0-8.5
461339.60.011326.8-12.8
471355.413.971356.2+0.9
481388.50.541376.9-11.7
491442.51.621453.0+10.6
501469.43.621484.0+14.6
511480.66.981496.2+15.6
521504.015.531518.6+14.6
531513.016.921523.8+10.8
541517.95.801527.6+9.7
551528.28.161541.2+13.0
561536.26.121560.4+24.2
571631.71.281663.7+32.0
581640.30.381673.8+33.6
591665.94.621706.7+40.7
601672.52.251716.7+44.2
613034.117.143074.0+39.9
623037.143.953077.3+40.3
633061.812.893116.8+55.0
643094.023.993143.3+49.3
653122.216.443170.1+47.9
663169.524.573213.2+43.7
673173.618.553217.5+43.9
683175.94.833219.3+43.4
693182.03.823225.5+43.5
703192.20.583236.0+43.8
713194.451.803236.9+42.6
723205.936.793248.8+42.9

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 2 cm⁻¹; wb97x max |Δω| 25 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, 2026-09-22 01:57:17 → 2026-09-22 03:12:42, 4524 s, peak 5.32 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