Spectrum Atlas

anthracene+CH3 C15H12

A2_1d6c152813 · SMILES Cc1ccc2cc3ccccc3cc2c1 · InChIKey GYMFBYTZOGMSQJ-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

50 infrared-active bands (500–3500 cm⁻¹); the strongest at 3038 cm⁻¹ (3.3 µm), 48 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
171.50.8683.3+11.7
2111.60.12124.3+12.7
3118.00.00166.6+48.6
4187.60.05194.7+7.1
5192.50.94198.5+6.0
6254.90.07268.7+13.8
7314.90.84320.5+5.6
8323.20.95331.0+7.8
9372.30.04375.2+2.9
10394.00.51404.4+10.4
11426.80.51434.1+7.3
12484.510.83487.4+2.9
13488.60.02492.9+4.3
14510.20.25515.0+4.8
15532.80.73545.9+13.1
16591.13.69594.8+3.8
17605.81.92621.4+15.6
18636.02.82639.5+3.5
19662.11.40665.1+3.0
20756.218.28763.7+7.5
21757.517.82769.2+11.8
22768.20.03774.9+6.6
23778.00.15785.6+7.7
24780.90.03792.2+11.2
25814.82.13828.4+13.6
26846.80.27853.8+7.0
27855.90.31866.7+10.9
28878.412.74894.1+15.7
29902.639.09921.1+18.5
30921.04.59928.9+7.9
31921.51.24939.6+18.1
32958.43.31974.9+16.5
33965.70.73989.7+24.0
34969.60.771003.9+34.3
35988.50.001018.6+30.1
361037.30.111042.0+4.6
371041.510.111050.8+9.4
381077.04.321087.8+10.8
391144.20.301132.3-11.9
401178.72.681159.3-19.4
411189.41.891195.2+5.9
421200.30.991206.0+5.7
431205.02.631217.9+12.9
441224.50.061231.7+7.2
451298.76.891307.2+8.5
461306.30.031312.5+6.3
471307.70.341316.4+8.7
481342.03.121345.4+3.4
491388.64.481363.6-24.9
501407.71.171415.0+7.3
511434.50.061449.5+15.0
521442.72.581455.3+12.6
531450.80.641470.6+19.8
541479.80.391497.6+17.8
551510.34.521518.4+8.1
561512.05.721525.3+13.3
571521.56.411536.1+14.6
581536.71.621559.0+22.3
591594.03.741623.8+29.8
601610.00.141640.3+30.3
611644.81.021671.3+26.5
621684.72.661727.8+43.1
631695.118.531740.3+45.2
643037.847.693073.5+35.7
653086.621.763137.5+51.0
663126.215.923173.2+47.0
673170.31.943215.8+45.5
683171.36.413216.2+44.9
693173.417.683217.3+44.0
703174.410.773218.8+44.4
713176.613.983219.9+43.3
723181.30.173224.7+43.4
733191.237.983234.6+43.4
743194.636.223237.8+43.2
753207.840.113250.5+42.8

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 1 cm⁻¹; wb97x max |Δω| 28 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-hel1-11, 2026-09-21 11:01:19 → 2026-09-21 12:38:03, 5803 s, peak 5.98 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