Spectrum Atlas

naphthalene+OCH3+OCH3 C12H12O2

B_1e27057d54 · SMILES COc1ccc2ccc(OC)cc2c1 · InChIKey PPKHAIRFQKFMLE-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 0.05.0101520 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

44 infrared-active bands (500–3500 cm⁻¹); the strongest at 1313 cm⁻¹ (7.6 µm), 352 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
160.64.3381.7+21.1
282.82.0297.9+15.1
3125.52.27137.6+12.1
4153.90.91162.6+8.7
5156.91.78165.6+8.7
6239.41.58233.4-6.0
7241.30.01248.7+7.4
8244.70.05271.5+26.9
9312.40.80322.2+9.8
10324.82.33336.9+12.1
11345.44.47351.3+5.9
12377.00.01381.7+4.8
13445.10.01456.8+11.6
14454.44.94460.3+5.9
15483.07.07486.8+3.8
16515.80.86523.3+7.4
17558.813.55565.1+6.3
18622.60.36638.1+15.5
19646.34.92648.9+2.6
20654.90.01668.7+13.8
21694.60.86699.7+5.1
22752.22.28766.0+13.8
23779.017.37787.6+8.6
24793.49.05802.2+8.8
25797.01.75809.1+12.1
26837.87.33850.9+13.0
27841.940.64859.0+17.1
28885.844.59902.0+16.2
29939.50.49966.3+26.8
30960.70.30979.2+18.5
31970.64.40991.7+21.1
32980.310.73993.4+13.1
331073.019.841091.8+18.8
341083.483.461102.6+19.2
351156.61.371162.8+6.2
361183.90.711174.0-10.0
371185.50.801187.7+2.3
381187.36.941188.9+1.6
391200.2188.251203.3+3.0
401211.23.621215.1+3.9
411224.511.271228.5+4.0
421261.5116.071264.4+2.9
431280.376.321295.0+14.7
441299.314.651307.0+7.8
451313.4352.161319.3+6.0
461380.35.361389.2+8.8
471409.917.221400.7-9.3
481436.983.461442.7+5.8
491476.246.491491.2+15.0
501495.419.171503.0+7.5
511508.30.101520.8+12.5
521518.85.541526.8+8.0
531522.24.941533.5+11.3
541523.440.611535.8+12.4
551535.068.641541.5+6.6
561537.63.701544.2+6.6
571572.8108.361600.0+27.2
581624.817.461656.3+31.5
591669.529.941696.7+27.1
601688.4269.301733.2+44.8
613023.676.743060.0+36.5
623025.446.703061.5+36.1
633082.144.563130.5+48.4
643084.144.603132.5+48.4
653153.731.893197.1+43.4
663156.830.063200.0+43.2
673179.31.183224.1+44.9
683183.525.593226.7+43.2
693201.25.503245.4+44.2
703217.210.503260.6+43.3
713217.312.153262.6+45.3
723227.813.383272.7+44.9

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 1 cm⁻¹; wb97x max |Δω| 17 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 12:30:03 → 2026-09-28 13:44:17, 4454 s, peak 5.08 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