Spectrum Atlas

naphthalene+COOH+OCH3 C12H10O3

B_6216abc398 · SMILES COc1cc(C(=O)O)cc2ccccc12 · InChIKey ZXDDPENMDIVYGR-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 0.05.0101520 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.05.0101520 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.05.0101520 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

46 infrared-active bands (500–3500 cm⁻¹); the strongest at 1194 cm⁻¹ (8.4 µm), 314 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
158.50.7792.3+33.8
285.44.71110.8+25.3
390.30.18116.2+25.9
4148.50.17161.2+12.7
5163.70.77181.8+18.1
6192.20.06207.1+14.9
7206.23.10215.0+8.8
8259.40.02289.2+29.8
9306.50.27323.5+17.0
10324.93.22331.6+6.7
11337.92.24344.6+6.7
12425.30.20432.4+7.1
13442.70.59455.1+12.4
14488.64.87503.7+15.0
15508.90.96515.5+6.5
16533.10.98538.1+5.0
17571.234.91588.9+17.6
18587.634.00594.0+6.4
19630.618.13639.0+8.4
20634.27.91652.3+18.0
21656.047.51683.3+27.2
22680.852.25691.9+11.1
23763.90.30776.9+13.0
24779.04.47786.7+7.7
25783.271.41800.8+17.6
26791.521.35806.6+15.1
27872.07.69881.9+9.9
28880.50.06888.3+7.7
29883.64.14904.1+20.5
30924.612.49950.7+26.1
31947.78.26957.8+10.0
32966.13.03999.4+33.3
33995.70.011027.7+32.0
341023.62.011037.4+13.8
351056.02.991067.2+11.2
361129.615.701139.7+10.1
371147.761.141158.8+11.1
381179.8193.441174.4-5.4
391185.41.171196.5+11.1
401193.5314.471207.0+13.5
411200.065.591224.7+24.7
421227.57.241231.6+4.2
431249.716.781246.2-3.5
441276.338.321279.8+3.6
451313.090.721320.1+7.2
461378.485.731376.4-2.1
471401.559.241417.6+16.0
481418.231.601427.3+9.1
491446.7105.211457.3+10.7
501473.411.721487.6+14.2
511502.126.451515.6+13.5
521509.924.041525.5+15.6
531519.96.021532.4+12.5
541535.226.921546.0+10.8
551562.131.751590.4+28.3
561631.958.671664.6+32.8
571654.143.571680.8+26.6
581680.611.011728.0+47.4
591818.5303.361852.5+34.0
603031.353.523067.1+35.8
613092.537.683140.4+47.9
623161.122.283204.1+43.1
633183.70.143226.6+42.9
643193.815.613236.7+42.9
653207.829.313250.5+42.8
663220.20.583263.6+43.4
673232.87.863276.7+43.9
683260.93.713306.2+45.3
693698.280.433738.4+40.2

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 1 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-hel1-18, 2026-09-30 09:08:52 → 2026-09-30 10:29:13, 4821 s, peak 5.36 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