Spectrum Atlas

biphenyl C12H10

A_fdc27f1bd1 · SMILES c1ccc(-c2ccccc2)cc1 · InChIKey ZUOUZKKEUPVFJK-UHFFFAOYSA-N

Cheap level done analytic check agrees

Infrared spectrum at the cheap level (B3LYP/6-31G*, the pipeline's input)

500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.01.02.03.04.0 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.01.02.03.04.0 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.01.02.03.04.0 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

28 infrared-active bands (500–3500 cm⁻¹); the strongest at 756 cm⁻¹ (13.2 µm), 70 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)

60 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
170.50.0095.2+24.6
296.60.57110.0+13.4
3129.60.06141.3+11.7
4270.60.02279.2+8.6
5315.00.00318.0+3.0
6373.20.10380.3+7.1
7416.20.33427.9+11.7
8423.20.00435.3+12.1
9500.64.44509.7+9.1
10560.01.56570.8+10.8
11623.88.01628.1+4.4
12628.70.00632.0+3.3
13641.10.03644.8+3.8
14714.15.97724.8+10.6
15714.831.21727.2+12.4
16755.670.21764.5+8.9
17757.10.00770.7+13.6
18796.95.21815.7+18.8
19860.10.55878.9+18.8
20861.50.00880.9+19.4
21920.32.81941.9+21.6
22937.70.87961.7+24.0
23968.00.771000.4+32.4
24970.60.001002.6+32.0
25994.80.221021.8+26.9
26995.00.051024.2+29.2
271014.80.411024.6+9.8
281020.00.001027.4+7.4
291027.44.931038.3+10.9
301062.10.001071.7+9.6
311074.92.111083.1+8.2
321111.16.021120.2+9.1
331116.00.351121.2+5.3
341192.80.001185.5-7.4
351193.60.071185.8-7.8
361213.60.591213.8+0.2
371221.20.001222.5+1.3
381311.90.001290.3-21.6
391315.22.591312.8-2.3
401348.10.001335.2-12.9
411364.60.071364.3-0.3
421374.00.851364.6-9.4
431477.37.321488.0+10.7
441507.01.121518.8+11.8
451534.828.771543.3+8.5
461556.50.001576.1+19.6
471628.24.181659.8+31.6
481643.50.111677.3+33.8
491661.60.001697.8+36.2
501664.111.821705.3+41.2
513179.08.983222.4+43.4
523179.90.003223.0+43.1
533184.50.013228.5+44.0
543187.58.473230.7+43.2
553194.332.093238.5+44.2
563198.60.013241.7+43.1
573200.410.253244.4+43.9
583204.058.073247.1+43.1
593209.542.213252.6+43.1
603211.10.013253.9+42.8

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 0 cm⁻¹; wb97x max |Δω| 4 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: Asus18, 2026-09-14 10:11:43 → 2026-09-14 11:51:12, 5968 s, peak 5.42 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