Spectrum Atlas

naphthalene+OCH3+OCH3 C12H12O2

B_1a48fabe9a · SMILES COc1cc(OC)c2ccccc2c1 · InChIKey XAVOEDQPSYWNHI-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 0.02.04.06.08.010 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.02.04.06.08.010 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.02.04.06.08.010 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

51 infrared-active bands (500–3500 cm⁻¹); the strongest at 1684 cm⁻¹ (5.9 µm), 146 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)

72 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
179.56.52102.6+23.0
286.01.02116.2+30.3
3122.00.01149.6+27.6
4175.20.38189.6+14.4
5184.62.43195.6+11.0
6208.61.33218.1+9.5
7213.91.30243.2+29.3
8244.40.00275.1+30.6
9284.71.26317.7+32.9
10325.70.26338.2+12.5
11330.61.12339.0+8.4
12395.24.94400.1+4.9
13444.81.48452.5+7.7
14459.56.86465.4+5.9
15512.42.80519.4+6.9
16538.23.74547.0+8.8
17541.91.15549.2+7.3
18631.41.14636.0+4.6
19635.64.64650.9+15.3
20652.50.15665.1+12.7
21664.916.78671.1+6.3
22760.016.14770.4+10.4
23779.50.64786.1+6.5
24782.04.75795.3+13.3
25823.117.84838.5+15.4
26840.954.52854.3+13.4
27879.52.17896.4+16.9
28898.50.27906.4+7.9
29954.81.56984.0+29.3
30971.816.59985.5+13.7
31985.00.011015.2+30.2
321025.44.921037.8+12.4
331058.49.581067.3+8.8
341091.138.151105.6+14.5
351145.750.691153.0+7.4
361182.120.791174.1-8.0
371185.50.241196.8+11.4
381185.91.511198.0+12.1
391195.750.481202.6+6.9
401203.8109.131210.5+6.7
411226.38.171230.5+4.3
421237.0105.351240.3+3.2
431259.7132.531265.0+5.3
441277.239.411275.9-1.3
451329.599.591328.7-0.8
461391.930.421393.6+1.6
471416.617.421424.9+8.3
481455.1128.711460.7+5.6
491481.923.391494.5+12.6
501487.235.531497.8+10.6
511510.115.991523.0+12.9
521518.024.641529.9+12.0
531518.45.781532.4+14.0
541519.36.071533.4+14.1
551536.026.201547.0+11.0
561536.519.651548.3+11.8
571566.026.901593.5+27.6
581638.069.131669.4+31.5
591660.2112.451686.1+25.9
601683.9145.811727.7+43.8
613026.354.253062.6+36.2
623029.153.733065.3+36.3
633085.041.223133.5+48.5
643089.441.293137.9+48.5
653156.230.173199.4+43.2
663158.523.193201.8+43.3
673175.12.753218.9+43.8
683188.719.493232.3+43.6
693202.333.173245.6+43.2
703222.412.023267.5+45.0
713227.69.823271.7+44.1
723242.34.353286.9+44.6

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 1 cm⁻¹; wb97x max |Δω| 24 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-hel1-18, 2026-09-28 03:55:02 → 2026-09-28 05:07:35, 4352 s, peak 5.2 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