Spectrum Atlas

fluorene+vinyl C15H12

A2_27130c4c79 · SMILES C=Cc1ccc2c(c1)-c1ccccc1C2 · InChIKey VAIIXYVWDBBEBY-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 0.00.51.01.52.0 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.00.51.01.52.0 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.00.51.01.52.0 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

55 infrared-active bands (500–3500 cm⁻¹); the strongest at 3195 cm⁻¹ (3.1 µm), 33 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)

75 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
134.10.0080.6+46.5
292.40.49103.8+11.4
3114.60.00126.8+12.3
4144.10.09151.2+7.1
5199.22.74203.2+4.0
6257.61.36264.6+7.0
7267.21.31272.7+5.5
8307.20.19312.9+5.7
9364.00.68368.1+4.1
10427.63.55438.2+10.6
11443.50.16449.7+6.1
12456.60.81459.6+3.0
13486.64.55493.7+7.2
14503.11.47506.6+3.5
15566.42.13570.2+3.8
16568.52.47574.3+5.8
17622.50.06626.3+3.8
18648.011.13651.9+3.9
19689.60.02700.2+10.7
20730.10.04736.5+6.4
21736.210.37741.0+4.8
22749.717.60760.4+10.7
23790.021.71802.5+12.5
24796.20.04804.5+8.3
25824.60.56832.8+8.2
26835.914.61847.0+11.1
27879.21.20902.4+23.1
28896.51.78905.6+9.2
29902.715.24922.9+20.2
30919.130.83951.8+32.7
31931.70.26955.4+23.6
32949.31.25974.6+25.3
33977.02.59995.5+18.5
34981.11.091011.5+30.4
351036.213.451049.5+13.3
361041.70.211053.0+11.2
371055.13.391058.0+3.0
381058.86.071066.8+8.0
391125.71.351133.2+7.5
401156.30.051162.8+6.6
411166.80.001175.7+8.9
421188.80.091182.9-5.9
431200.91.771205.7+4.8
441210.67.441219.5+8.9
451228.32.391234.9+6.6
461235.01.381242.0+7.0
471269.32.731271.1+1.7
481329.91.971318.6-11.4
491336.60.381335.5-1.1
501357.70.931355.2-2.5
511366.012.381365.1-0.9
521390.73.261378.8-11.9
531450.67.911462.3+11.7
541480.64.491490.1+9.4
551487.42.031495.8+8.4
561502.311.111516.1+13.9
571522.46.621544.7+22.4
581536.815.831555.9+19.0
591623.84.841657.4+33.6
601638.61.461671.5+32.8
611665.80.411706.3+40.5
621668.07.961712.7+44.7
631714.414.271749.7+35.3
643033.718.153077.3+43.6
653060.112.633115.3+55.1
663147.315.843191.5+44.2
673170.95.183211.1+40.2
683177.02.813220.3+43.3
693178.224.053222.2+44.0
703180.45.163223.9+43.4
713183.32.503226.4+43.1
723194.733.433237.7+43.0
733205.625.063249.4+43.8
743207.629.053250.6+43.0
753247.816.673292.4+44.6

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 2 cm⁻¹; wb97x max |Δω| 20 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 13:48:57 → 2026-09-21 15:16:05, 5227 s, peak 5.72 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