Spectrum Atlas

naphthalene+OCH3+OCH3 C12H12O2

B_32502b56fd · SMILES COc1ccc2c(OC)cccc2c1 · InChIKey RBUFUWIWCCOVOS-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

48 infrared-active bands (500–3500 cm⁻¹); the strongest at 1268 cm⁻¹ (7.9 µm), 275 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
158.24.3669.5+11.3
295.70.23114.4+18.7
3136.60.03149.5+12.9
4150.86.45163.7+12.9
5165.31.90172.4+7.2
6229.70.11223.1-6.6
7233.12.31239.6+6.4
8250.10.14244.7-5.5
9292.30.01298.0+5.7
10322.60.61327.4+4.8
11329.51.15338.0+8.5
12437.51.55444.7+7.2
13439.47.32451.8+12.4
14451.62.66455.3+3.7
15512.53.25516.5+4.0
16528.10.37539.2+11.0
17540.30.60545.8+5.5
18613.67.83619.3+5.7
19625.32.43641.4+16.1
20655.10.27670.2+15.1
21710.55.70716.0+5.5
22743.510.35751.2+7.7
23754.89.22768.7+13.9
24788.925.84807.2+18.4
25841.926.20855.4+13.5
26846.723.05856.6+10.0
27848.47.34870.5+22.2
28872.414.23897.8+25.4
29958.90.99974.7+15.9
30963.020.24990.0+27.0
31970.60.041003.9+33.4
321019.45.401032.0+12.6
331077.376.351097.0+19.8
341105.014.001113.8+8.9
351141.625.221150.2+8.6
361176.844.641181.0+4.2
371185.70.881186.7+1.0
381185.90.791189.4+3.5
391203.744.071202.5-1.2
401212.70.891214.5+1.7
411228.92.151230.4+1.5
421236.541.361238.0+1.5
431268.0274.711271.0+2.9
441302.1100.851307.8+5.8
451310.670.111324.2+13.7
461399.01.221400.3+1.3
471419.562.481423.7+4.2
481423.768.021431.3+7.6
491483.8128.231494.6+10.8
501491.238.301496.2+5.0
511509.545.001516.6+7.1
521519.34.761521.9+2.6
531519.56.061526.3+6.8
541524.721.671539.6+14.9
551534.88.831541.2+6.4
561536.822.181542.7+5.8
571565.27.921594.5+29.3
581637.269.661670.4+33.2
591659.268.661685.5+26.3
601683.6125.641727.2+43.6
613024.859.053060.8+36.1
623026.957.303062.9+36.0
633083.142.833131.5+48.4
643086.043.503134.5+48.6
653156.327.363199.6+43.3
663156.528.253199.7+43.2
673180.33.013224.1+43.9
683198.030.213241.8+43.8
693210.13.933253.5+43.4
703215.914.753260.8+44.8
713228.814.193273.5+44.8
723232.56.333276.5+44.0

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-hel1-16, 2026-09-29 00:19:25 → 2026-09-29 01:33:31, 4445 s, peak 5.11 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