Spectrum Atlas

anthracene+OCH3 C15H12O

A2_0f1a2bd718 · SMILES COc1c2ccccc2cc2ccccc12 · InChIKey DVRKZTKTNYRYLF-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 0.02.04.06.08.0 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.02.04.06.08.0 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.02.04.06.08.0 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

42 infrared-active bands (500–3500 cm⁻¹); the strongest at 1124 cm⁻¹ (8.9 µm), 132 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)

78 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
179.32.3599.1+19.8
286.60.40104.5+17.9
3118.91.39131.7+12.8
4135.10.31139.0+3.9
5164.70.08191.1+26.5
6226.10.64229.8+3.7
7238.60.02252.4+13.8
8253.44.05260.6+7.3
9305.54.78314.8+9.3
10347.71.94356.8+9.1
11398.70.13401.1+2.4
12429.50.16435.5+5.9
13433.55.14439.5+6.0
14488.30.05492.1+3.8
15507.30.00518.7+11.4
16528.82.22535.8+7.0
17575.73.12585.5+9.8
18581.10.03588.2+7.1
19626.88.57628.8+2.0
20654.61.92658.5+3.9
21671.612.94684.0+12.4
22708.63.12714.8+6.2
23755.250.44759.8+4.6
24755.90.17768.7+12.8
25777.50.00784.7+7.2
26808.06.99823.3+15.3
27863.522.78876.5+13.0
28873.90.17876.8+2.9
29875.00.22884.1+9.1
30875.70.34886.4+10.7
31895.318.27915.2+19.9
32943.51.02948.4+4.9
33964.00.00993.0+29.1
34966.62.97995.8+29.2
35992.80.021017.9+25.1
36993.60.481019.3+25.7
371001.825.421021.3+19.5
381041.80.431050.8+9.1
391042.25.371052.8+10.6
401124.4131.851129.1+4.7
411135.00.561143.3+8.4
421177.60.091151.2-26.5
431183.81.191191.7+7.9
441193.63.911195.7+2.1
451199.43.451201.0+1.6
461211.70.231209.5-2.3
471224.618.411234.7+10.1
481256.51.571255.2-1.3
491295.52.301303.1+7.6
501316.620.481326.0+9.3
511368.82.211330.0-38.8
521377.9128.071400.8+22.8
531421.96.551429.3+7.4
541425.70.141438.6+12.9
551446.725.941466.6+19.9
561492.36.851500.2+7.9
571496.80.021509.7+12.9
581505.12.941519.0+13.9
591516.34.741526.1+9.8
601531.38.641541.4+10.0
611535.90.001555.1+19.2
621585.60.251617.4+31.9
631610.18.931642.0+31.9
641631.14.631656.8+25.7
651679.01.901719.8+40.8
661685.110.351729.8+44.7
673032.752.533067.3+34.7
683094.626.963142.4+47.8
693149.335.003193.6+44.4
703176.51.093221.4+44.8
713178.90.013222.4+43.5
723181.15.633224.0+42.9
733190.22.233233.4+43.2
743190.736.213233.8+43.1
753204.524.353247.5+43.1
763204.746.953247.7+42.9
773222.921.403266.7+43.8
783223.610.093267.2+43.7

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 2 cm⁻¹; wb97x max |Δω| 29 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-hel1-10, 2026-09-20 03:35:57 → 2026-09-20 05:21:52, 6355 s, peak 6.45 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