Spectrum Atlas

pyridine C5H5N

A_6e858b26e5 · SMILES c1ccncc1 · InChIKey JUJWROOIHBZHMG-UHFFFAOYSA-N

Anchored
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 anchor level (CCSD(T)/cc-pVDZ + [MP2/cc-pVTZ − MP2/cc-pVDZ]; rung 4, anchored)

0500100015002000250030003500 wavenumber (cm⁻¹) 3 µm4 µm5 µm6 µm8 µm10 µm15 µm25 µm anchor B3LYP ωB97X 0500100015002000250030003500 wavenumber (cm⁻¹) 3 µm4 µm5 µm6 µm8 µm10 µm15 µm25 µm anchor B3LYP ωB97X 0100020003000 wavenumber (cm⁻¹) 3 µm5 µm10 µm20 µm anchor B3LYP ωB97X

Band heights: not computed for this molecule yet (no dipole derivatives); positions only. Compared with the cheap Hessian (B3LYP, analytic): frequency rms 19.1 cm⁻¹.

Harmonic frequencies at the cheap level (deck v1: B3LYP and ωB97X, 6-31G*, at the B3LYP geometry)

27 vibrational modes; imaginary modes negative. Shift = ωB97X − B3LYP.

Both functionals are drawn in the anchor chart above; the table lists the values of the corpus.

#B3LYP (cm⁻¹)ωB97X (cm⁻¹)shift
1386.6404.6+18.1
2421.8432.9+11.1
3613.5618.2+4.7
4658.8657.5-1.2
5718.8730.8+12.0
6763.2774.8+11.5
7898.1912.4+14.3
8956.3983.9+27.6
9993.31023.2+30.0
101009.71028.3+18.6
111012.01033.8+21.7
121051.11060.8+9.7
131086.61089.5+2.9
141101.01107.0+6.0
151178.71189.5+10.8
161253.31260.5+7.1
171307.61272.7-35.0
181397.81398.6+0.8
191486.51492.4+5.9
201531.21543.4+12.1
211637.81673.7+36.0
221644.01680.4+36.3
233169.33208.0+38.7
243171.23214.5+43.3
253191.23234.0+42.8
263206.63249.3+42.8
273214.83257.5+42.7

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 12 cm⁻¹; wb97x max |Δω| 17 cm⁻¹.

Provenance

  • Releases: none yet
  • Entered the corpus as: parent molecules chosen by hand (benzene, naphthalene, the PAH cores and their relatives) (layer A)
  • Coupled-cluster anchor: CCSD(T)/cc-pVDZ + [MP2/cc-pVTZ − MP2/cc-pVDZ]
  • Anchor spectrum: Hessian composite_full_pyridine_2026-10-07.npz
  • Imaginary modes: B3LYP 0, ωB97X 0
  • Source files: corpus factory · manifest