Spectrum Atlas

biphenyl+CHO C13H10O

B_32a4ec61cd · SMILES O=Cc1ccccc1-c1ccccc1 · InChIKey LCRCBXLHWTVPEQ-UHFFFAOYSA-N

Cheap level done imaginary mode, second route pending
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 0.05.01015 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.05.01015 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.05.01015 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

40 infrared-active bands (500–3500 cm⁻¹); the strongest at 1789 cm⁻¹ (5.6 µm), 221 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)

66 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
1-42.00.31-13.1+28.9
277.30.5187.6+10.3
387.20.02105.8+18.6
4118.84.01143.9+25.2
5207.34.32212.2+4.9
6208.05.21215.7+7.7
7288.20.09293.8+5.6
8318.60.73325.7+7.1
9319.65.26326.2+6.6
10412.30.00422.1+9.8
11452.20.96459.5+7.2
12461.02.56470.3+9.3
13555.43.82567.8+12.3
14566.11.30574.0+7.9
15630.42.63634.1+3.7
16634.00.05637.5+3.5
17654.617.69660.0+5.4
18717.123.59726.1+9.0
19754.92.95769.8+14.9
20762.48.91771.0+8.6
21780.619.91797.1+16.5
22784.436.23798.1+13.7
23841.425.04852.0+10.6
24862.80.01878.1+15.3
25902.70.01922.0+19.3
26931.62.02952.7+21.1
27968.30.00998.7+30.4
28973.61.131000.2+26.6
29998.30.081024.5+26.2
301002.80.031025.9+23.1
311017.82.421031.0+13.2
321026.06.361036.6+10.7
331032.30.031047.7+15.4
341063.40.421072.1+8.7
351075.50.221083.3+7.8
361109.33.191115.5+6.3
371126.78.361136.3+9.7
381193.80.071184.8-9.0
391194.52.731187.3-7.2
401213.90.581213.1-0.8
411225.735.301237.8+12.1
421284.742.031297.8+13.2
431315.04.041300.7-14.3
441329.00.141304.7-24.4
451345.83.621335.4-10.4
461363.30.311359.0-4.3
471442.825.011448.5+5.6
481488.14.911499.6+11.5
491490.29.161504.6+14.4
501521.615.011534.7+13.1
511548.62.461568.2+19.5
521623.51.671657.6+34.1
531634.91.391668.7+33.8
541652.943.351690.7+37.9
551662.34.101702.6+40.3
561788.8221.281822.2+33.4
572977.995.083027.9+50.0
583182.02.063225.0+42.9
593186.31.183228.9+42.6
603187.60.093230.7+43.2
613196.315.583239.3+43.0
623198.710.083241.3+42.6
633202.833.833245.8+43.0
643208.318.853250.8+42.5
653212.219.553254.8+42.6
663220.010.903263.2+43.2

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 1 cm⁻¹; wb97x max |Δω| 15 cm⁻¹.

Provenance

  • Releases: none yet
  • Entered the corpus as: cores with one or two substituents, enumerated from the parents (layer B)
  • Run: ubuntu-32gb-hel1-21, 2026-09-29 04:37:18 → 2026-09-29 05:42:41, 3922 s, peak 4.95 GB, deck 9e27bf8e9348
  • Imaginary modes: B3LYP 1, ωB97X 1
  • Cheap-level band heights: dipole derivatives dipole_b3lyp_cphf.npz, Hessian hessian_b3lyp.npz
  • Source files: corpus factory · manifest