Spectrum Atlas

naphthalene+CH3+OCH3 C12H12O

B_246b2a4557 · SMILES COc1c(C)ccc2ccccc12 · InChIKey GXIFCLBPAVRDAL-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 0.01.02.03.04.05.0 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.01.02.03.04.05.0 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.01.02.03.04.05.0 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

52 infrared-active bands (500–3500 cm⁻¹); the strongest at 1122 cm⁻¹ (8.9 µm), 79 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)

69 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
175.72.6046.0-29.7
298.50.5384.2-14.3
3109.80.13115.1+5.2
4132.81.30139.4+6.6
5164.80.20148.4-16.5
6195.61.40203.8+8.3
7260.10.19266.2+6.1
8266.43.13275.0+8.6
9318.97.41327.3+8.4
10360.62.53370.3+9.7
11437.90.90442.1+4.3
12444.83.83454.1+9.2
13487.40.68492.8+5.3
14512.40.27522.2+9.8
15527.90.36533.4+5.5
16580.81.50587.8+7.0
17604.82.86616.2+11.3
18686.53.25696.2+9.7
19705.96.30718.6+12.6
20737.55.93743.3+5.8
21762.013.46771.2+9.2
22801.56.43818.5+17.0
23828.340.96843.1+14.8
24871.11.56879.3+8.2
25886.61.53903.9+17.3
26936.75.09946.7+10.1
27953.80.20985.3+31.6
28964.51.46996.9+32.4
29992.20.031019.2+27.1
301012.617.071023.0+10.4
311045.624.981057.7+12.2
321058.18.731068.2+10.2
331074.73.801079.2+4.6
341122.278.621133.8+11.6
351182.06.411167.8-14.2
361184.81.081186.7+2.0
371186.41.751190.7+4.3
381207.98.371213.4+5.5
391231.017.311238.7+7.7
401249.63.411243.3-6.3
411273.355.421285.3+12.0
421292.416.361300.4+8.0
431379.524.271378.5-1.0
441413.529.981421.1+7.5
451417.526.811423.3+5.8
461438.75.131449.0+10.3
471472.30.941485.6+13.3
481499.70.911506.0+6.3
491513.82.811520.2+6.5
501518.25.331524.5+6.3
511520.36.791527.6+7.3
521525.12.911536.3+11.2
531536.78.031539.6+3.0
541562.110.941590.3+28.1
551623.914.131657.8+33.9
561659.59.951687.0+27.6
571682.80.471729.2+46.4
583028.246.443063.4+35.2
593038.142.013075.8+37.7
603087.840.483135.7+47.9
613096.219.893144.8+48.6
623145.241.413189.4+44.3
633146.41.353193.6+47.2
643174.16.763218.2+44.2
653177.31.703220.8+43.5
663188.410.373231.7+43.3
673193.336.543237.0+43.7
683203.932.923246.9+43.1
693223.511.493267.3+43.8

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 1 cm⁻¹; wb97x max |Δω| 49 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 21:43:19 → 2026-09-28 22:45:20, 3721 s, peak 4.81 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