Spectrum Atlas

stilbene_E C14H12

A_7a57a52879 · SMILES C(=C\c1ccccc1)/c1ccccc1 · InChIKey PJANXHGTPQOBST-VAWYXSNFSA-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 0.01.02.03.04.05.0 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

22 infrared-active bands (500–3500 cm⁻¹); the strongest at 3203 cm⁻¹ (3.1 µm), 74 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
1-4.70.0057.6+62.3
259.90.3674.0+14.1
368.10.0094.2+26.1
481.70.2494.7+13.0
5205.80.00211.5+5.7
6222.30.00222.8+0.5
7287.70.03293.1+5.5
8289.00.00296.5+7.5
9412.60.03423.5+10.9
10413.60.00424.7+11.0
11474.52.01473.2-1.3
12477.40.02485.1+7.6
13543.610.22551.8+8.2
14551.520.47556.0+4.5
15633.00.00636.7+3.7
16636.60.01640.3+3.7
17655.10.00660.6+5.5
18700.50.00713.6+13.2
19705.450.40716.1+10.7
20752.80.00764.0+11.2
21782.756.55796.9+14.2
22837.10.26846.4+9.3
23847.30.00866.1+18.9
24849.00.11868.9+19.9
25879.00.00897.0+18.0
26885.90.00899.8+13.9
27918.22.23941.6+23.4
28928.90.00953.7+24.8
29961.20.17993.9+32.7
30962.40.00994.8+32.5
31986.64.291014.2+27.6
32991.50.001020.9+29.4
331012.826.961022.2+9.4
341015.00.011022.6+7.7
351015.30.081030.2+14.9
361058.00.001068.7+10.7
371060.53.331071.3+10.8
381113.16.941122.3+9.2
391115.90.011125.3+9.3
401192.80.251185.9-6.8
411193.00.011186.1-6.9
421216.80.241219.6+2.8
431219.00.001223.5+4.5
441222.80.001239.6+16.8
451265.41.241260.5-4.9
461306.91.941312.8+5.9
471346.20.001320.7-25.5
481367.80.001360.3-7.4
491372.91.281361.7-11.2
501381.70.001386.0+4.3
511387.14.611387.1-0.0
521493.40.001506.3+12.9
531502.411.101513.9+11.4
541542.70.011556.0+13.4
551551.228.401567.0+15.8
561630.50.001662.5+32.1
571636.02.791667.2+31.3
581655.50.001699.0+43.4
591663.718.541703.5+39.8
601705.70.001745.3+39.6
613155.90.003205.4+49.5
623163.625.453208.4+44.8
633176.318.023219.7+43.4
643176.39.173219.7+43.4
653183.30.003226.6+43.3
663183.90.353227.0+43.2
673193.533.213236.9+43.4
683193.80.163237.0+43.2
693203.24.753247.2+43.9
703203.669.323247.3+43.7
713211.054.163254.2+43.2
723211.60.423254.8+43.2

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 8 cm⁻¹; wb97x max |Δω| 20 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 19:04:33 → 2026-09-18 20:12:52, 4098 s, peak 4.99 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