Spectrum Atlas

naphthalene+OCH3+OCH3 C12H12O2

B_0ae9a0319f · SMILES COc1ccc2cccc(OC)c2c1 · InChIKey SNJIXGITYNNHDO-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 0.05.01015 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.05.01015 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.05.01015 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

47 infrared-active bands (500–3500 cm⁻¹); the strongest at 1313 cm⁻¹ (7.6 µm), 258 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
164.16.0393.6+29.5
282.72.94103.9+21.2
3111.80.01135.5+23.8
4156.42.60165.0+8.6
5183.10.08193.3+10.2
6208.50.96230.7+22.2
7249.80.01265.1+15.3
8254.40.45286.1+31.7
9280.71.30305.8+25.2
10331.72.13339.7+8.0
11348.21.58359.7+11.5
12375.10.53377.9+2.8
13439.80.88451.0+11.3
14466.93.98472.9+6.0
15523.11.29526.7+3.6
16538.60.71551.5+12.9
17558.64.65565.0+6.4
18581.43.86592.2+10.9
19611.28.04617.9+6.7
20676.50.18692.6+16.1
21713.110.95718.5+5.3
22737.810.69744.9+7.0
23750.516.85762.5+12.0
24785.71.06801.1+15.4
25832.157.83848.6+16.5
26868.95.99876.1+7.1
27869.80.01891.7+21.9
28896.718.05911.4+14.6
29917.43.86927.6+10.2
30944.30.00973.3+29.0
31956.71.27992.8+36.0
321026.310.581037.6+11.3
331084.042.871099.8+15.8
341101.520.041106.9+5.3
351139.0157.131150.6+11.6
361184.00.681178.5-5.5
371186.20.911192.1+5.9
381189.04.161194.2+5.2
391197.627.471202.4+4.8
401213.33.151217.7+4.4
411228.72.821232.7+4.0
421249.147.471245.3-3.8
431268.242.971274.9+6.7
441304.2219.281310.0+5.8
451313.3257.771329.3+15.9
461374.00.541366.2-7.8
471421.88.241428.0+6.2
481434.250.741438.6+4.4
491486.332.601495.5+9.1
501490.364.921501.8+11.5
511505.80.841516.4+10.6
521519.511.271529.3+9.8
531520.264.171536.3+16.1
541522.25.051536.7+14.4
551535.637.551546.1+10.5
561537.76.251549.0+11.3
571568.567.551595.8+27.3
581627.946.611660.1+32.2
591660.489.781686.1+25.7
601688.155.621733.2+45.1
613021.183.663057.7+36.6
623025.255.403061.6+36.4
633078.946.483127.3+48.4
643083.644.233132.2+48.5
653153.129.443196.5+43.4
663156.324.923199.6+43.3
673180.71.373225.0+44.3
683183.89.633227.4+43.5
693199.835.463243.4+43.6
703225.124.183269.9+44.8
713226.78.083271.7+45.0
723242.81.683286.7+44.0

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 1 cm⁻¹; wb97x max |Δω| 22 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, 2026-09-26 04:47:39 → 2026-09-26 06:01:22, 4422 s, peak 5.09 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