Spectrum Atlas

naphthalene+CHO+OCH3 C12H10O2

B_5a1b7a4384 · SMILES COc1cccc2ccc(C=O)cc12 · InChIKey XSYDCPIHIFFZRU-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

46 infrared-active bands (500–3500 cm⁻¹); the strongest at 1797 cm⁻¹ (5.6 µm), 253 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
171.23.2491.9+20.7
289.03.35122.5+33.5
3134.93.39144.8+9.8
4151.06.60183.6+32.6
5183.80.79195.8+12.0
6215.41.18239.3+23.9
7236.33.82248.6+12.3
8267.00.01292.8+25.9
9324.30.32336.2+11.9
10331.90.62338.4+6.5
11407.31.27411.8+4.5
12439.13.71447.8+8.7
13467.913.30473.6+5.6
14506.71.87517.6+10.9
15518.51.79522.1+3.6
16582.63.94593.6+11.0
17594.413.19600.4+6.1
18628.54.87633.4+4.9
19669.40.01683.4+14.0
20735.512.34742.7+7.2
21751.032.03757.6+6.6
22761.316.70767.5+6.2
23799.90.51813.4+13.5
24843.458.05856.0+12.6
25874.73.18882.9+8.1
26877.42.46892.9+15.5
27952.35.38966.8+14.5
28955.332.16967.7+12.4
29965.30.27993.0+27.8
30975.31.321005.8+30.6
311028.710.451040.3+11.7
321034.00.241060.2+26.2
331103.318.691108.3+5.0
341132.154.541145.6+13.5
351181.78.781172.4-9.4
361184.71.141194.0+9.3
371189.191.511196.2+7.1
381215.037.491223.6+8.6
391237.960.661242.8+5.0
401253.40.941249.0-4.4
411281.822.791285.2+3.4
421313.5148.161321.5+7.9
431373.322.731375.6+2.3
441418.061.301417.8-0.2
451424.163.391425.8+1.7
461448.013.861460.4+12.4
471484.833.111496.9+12.1
481497.418.611509.9+12.5
491515.644.201532.2+16.7
501520.46.421532.8+12.4
511534.415.181544.8+10.4
521564.27.711591.6+27.4
531622.489.041653.4+31.0
541654.415.161683.1+28.8
551675.6123.781722.7+47.2
561796.9252.501830.0+33.1
572899.7184.292950.5+50.8
583031.958.173067.7+35.8
593093.538.363141.3+47.8
603165.418.173208.2+42.8
613176.55.513219.9+43.5
623186.81.313229.9+43.1
633195.219.593238.6+43.4
643204.031.273246.8+42.8
653231.912.433275.7+43.8
663239.80.553283.8+44.1

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 1 cm⁻¹; wb97x max |Δω| 16 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, 2026-09-30 00:05:07 → 2026-09-30 01:10:31, 3923 s, peak 4.84 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