Spectrum Atlas

biphenyl+NO2 C12H9NO2

B_477b567fed · SMILES O=[N+]([O-])c1ccccc1-c1ccccc1 · InChIKey YOJKKXRJMXIKSR-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 0.02.04.06.08.0101214 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.02.04.06.08.0101214 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.02.04.06.08.0101214 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

40 infrared-active bands (500–3500 cm⁻¹); the strongest at 1404 cm⁻¹ (7.1 µm), 206 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
138.30.3081.3+43.0
259.60.4892.7+33.1
383.51.58108.6+25.2
4108.30.27141.1+32.8
5153.20.53172.0+18.8
6212.22.55224.7+12.6
7275.70.11282.9+7.2
8305.11.09314.8+9.6
9334.51.20348.0+13.5
10407.91.21416.1+8.3
11415.90.11428.9+12.9
12421.61.04434.3+12.7
13526.64.65538.5+11.8
14552.82.12562.8+10.0
15587.22.00597.9+10.7
16627.54.39631.6+4.2
17634.60.28638.9+4.3
18680.18.13688.6+8.5
19711.926.75725.5+13.5
20721.21.82740.3+19.0
21757.752.85771.0+13.3
22767.03.96777.6+10.5
23785.518.16803.8+18.2
24803.89.61825.3+21.5
25860.41.78879.3+18.9
26864.027.70881.6+17.7
27897.90.80916.6+18.7
28933.51.82956.2+22.8
29968.21.19993.2+25.1
30969.60.471003.0+33.4
31997.20.491024.2+27.0
32997.50.271025.3+27.8
331017.92.001028.5+10.6
341027.94.321037.9+10.0
351065.30.191077.8+12.5
361074.50.431086.3+11.8
371112.54.271123.2+10.7
381119.37.671133.1+13.8
391173.43.081186.9+13.5
401194.40.031190.5-4.0
411196.90.721191.2-5.7
421217.50.651224.0+6.5
431282.71.211283.0+0.3
441308.57.701307.7-0.8
451340.40.151312.0-28.4
461354.610.891344.3-10.3
471369.41.641368.9-0.6
481404.3206.051449.8+45.5
491476.54.481489.4+12.9
501498.84.671512.5+13.8
511521.220.471535.8+14.6
521550.00.971571.3+21.3
531617.945.371649.0+31.1
541634.6112.411664.7+30.1
551641.124.201675.2+34.1
561662.90.581699.3+36.4
571666.980.091708.2+41.3
583183.22.963226.0+42.8
593188.30.043231.5+43.1
603195.46.793237.9+42.5
613196.711.283239.7+43.0
623204.030.443246.9+43.0
633209.75.963252.1+42.5
643213.224.373255.5+42.4
653217.812.693260.1+42.3
663242.61.493285.1+42.5

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 2 cm⁻¹; wb97x max |Δω| 11 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-hel1-14, 2026-09-29 19:56:46 → 2026-09-29 21:22:26, 5140 s, peak 5.45 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