Spectrum Atlas

naphthalene+CH3+vinyl C13H12

B_84485091e3 · SMILES C=Cc1ccc2cc(C)ccc2c1 · InChIKey MKCAVNLILLVRRN-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 0.01.02.03.0 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.01.02.03.0 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.01.02.03.0 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

50 infrared-active bands (500–3500 cm⁻¹); the strongest at 3191 cm⁻¹ (3.1 µm), 51 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
17.00.0051.8+44.8
283.70.9164.5-19.1
3100.70.00111.5+10.8
4166.60.24172.3+5.8
5184.90.32193.4+8.5
6201.80.08207.7+5.9
7270.10.58275.9+5.8
8332.72.76340.1+7.4
9393.80.31397.6+3.8
10402.40.08412.9+10.5
11413.50.24418.4+4.9
12486.46.70491.3+5.0
13511.55.49513.8+2.3
14521.60.79529.6+8.0
15535.10.01539.1+4.0
16594.62.61598.6+4.0
17621.33.17633.5+12.2
18682.93.04686.3+3.3
19719.70.38728.6+8.9
20766.30.09773.4+7.2
21782.90.03795.9+13.0
22818.36.92829.6+11.3
23839.322.64850.2+10.9
24841.80.06852.6+10.8
25903.428.99918.9+15.6
26905.40.14925.9+20.5
27919.038.13942.7+23.7
28935.81.45953.6+17.8
29965.50.83988.8+23.3
30967.70.26994.5+26.8
31980.70.42997.0+16.2
321035.614.291042.2+6.6
331035.99.151048.9+13.1
341076.34.381083.1+6.7
351081.55.531085.1+3.6
361166.82.191160.9-5.9
371177.70.781185.4+7.7
381201.04.621193.1-7.9
391209.21.771211.7+2.5
401247.61.991236.9-10.7
411290.20.571293.9+3.7
421305.84.631310.7+4.9
431351.51.061355.1+3.6
441390.72.801396.8+6.1
451420.71.041410.1-10.6
461425.85.161427.2+1.4
471443.10.611454.8+11.6
481450.73.071468.8+18.1
491479.01.261484.7+5.7
501512.85.631521.9+9.2
511520.57.121526.2+5.7
521533.23.401551.8+18.6
531554.212.651578.2+24.1
541620.90.421651.2+30.3
551663.95.331696.4+32.5
561686.715.291735.2+48.5
571714.17.811745.9+31.9
583039.044.333074.5+35.5
593088.621.383139.3+50.8
603125.916.383173.0+47.1
613148.022.313191.9+43.9
623170.23.973210.9+40.7
633171.111.383215.7+44.5
643171.97.383216.0+44.1
653174.917.343218.3+43.4
663186.210.173231.1+44.8
673191.151.443234.6+43.5
683192.610.403236.3+43.7
693247.716.813292.2+44.5

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 2 cm⁻¹; wb97x max |Δω| 21 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-hel1-16, 2026-09-30 14:06:18 → 2026-09-30 15:09:23, 3784 s, peak 4.7 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