Spectrum Atlas

biphenyl+NO2 C12H9NO2

B_223abbbf04 · SMILES O=[N+]([O-])c1cccc(-c2ccccc2)c1 · InChIKey FYRPEHRWMVMHQM-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 0.05.0101520 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.05.0101520 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.05.0101520 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

39 infrared-active bands (500–3500 cm⁻¹); the strongest at 1399 cm⁻¹ (7.1 µm), 315 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
148.80.0067.5+18.8
253.80.48100.8+47.1
386.60.70113.1+26.5
4105.30.43126.9+21.6
5179.61.79199.8+20.2
6220.30.90232.5+12.3
7284.40.04293.5+9.0
8294.90.41304.2+9.2
9371.30.46379.7+8.4
10412.80.63420.9+8.0
11418.20.41426.3+8.1
12444.00.09455.8+11.7
13499.93.89510.0+10.1
14555.11.36562.7+7.6
15575.20.90587.4+12.2
16626.07.90630.3+4.3
17635.01.16638.7+3.7
18688.610.50696.2+7.6
19700.27.31715.4+15.2
20714.119.02722.9+8.8
21746.357.58765.0+18.7
22779.728.05791.8+12.0
23785.112.69800.0+14.9
24828.09.62844.8+16.8
25860.70.49872.4+11.7
26890.920.28906.6+15.7
27924.15.34943.5+19.4
28943.02.15964.1+21.1
29956.63.75980.9+24.2
30971.50.55997.7+26.2
31995.50.401022.5+27.0
32999.20.111024.7+25.4
331015.50.721025.3+9.8
341020.80.221029.1+8.3
351049.82.391060.0+10.2
361076.52.521083.5+7.0
371115.33.971122.7+7.4
381120.48.951129.5+9.1
391127.237.041145.8+18.6
401194.90.071188.0-6.9
411202.92.241203.2+0.3
421219.90.361218.2-1.7
431300.51.241289.6-10.9
441315.78.681315.1-0.6
451343.11.971323.8-19.3
461358.97.951348.5-10.4
471376.43.461366.1-10.3
481398.7314.921443.8+45.1
491466.24.261479.7+13.5
501500.92.771514.3+13.4
511523.919.591536.0+12.1
521552.03.831570.8+18.8
531621.284.731650.3+29.1
541632.6110.871664.3+31.7
551642.513.901677.9+35.4
561662.72.881700.7+38.0
571678.618.201715.4+36.8
583183.84.503226.7+42.9
593189.30.423232.6+43.3
603197.419.463240.8+43.5
613200.21.403242.7+42.6
623204.727.403247.7+43.0
633213.521.083256.0+42.5
643215.311.463257.7+42.5
653251.92.043295.4+43.5
663256.02.373298.2+42.2

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 1 cm⁻¹; wb97x max |Δω| 5 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-hel1-16, 2026-09-28 11:56:23 → 2026-09-28 13:08:26, 4322 s, peak 5.05 GB, deck 9e27bf8e9348
  • 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