Spectrum Atlas

fluorene+CH3 C14H12

A2_0dc3aa4eb9 · SMILES Cc1cccc2c1-c1ccccc1C2 · InChIKey OPFILOLCFWFBNT-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

52 infrared-active bands (500–3500 cm⁻¹); the strongest at 753 cm⁻¹ (13.3 µm), 47 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
188.50.00105.4+16.9
2107.50.28117.3+9.8
3209.60.16213.6+3.9
4211.62.81227.3+15.7
5220.80.06254.3+33.4
6247.23.97261.9+14.7
7294.70.27303.2+8.5
8329.90.75333.3+3.4
9410.50.15414.4+3.8
10435.81.57440.0+4.1
11484.01.13496.9+12.9
12516.90.26524.8+7.9
13519.90.58528.9+9.0
14551.70.42556.1+4.4
15566.02.12570.4+4.4
16579.60.16592.0+12.4
17643.30.72647.6+4.3
18701.64.24706.3+4.7
19715.50.06729.8+14.2
20753.346.92763.5+10.1
21783.525.72795.8+12.2
22789.50.91798.7+9.2
23802.12.51814.1+12.0
24841.70.01848.8+7.1
25879.60.38893.3+13.7
26900.80.05920.8+20.0
27933.80.10956.7+22.9
28962.01.10973.2+11.2
29963.00.11988.8+25.8
30976.92.581002.0+25.1
31981.80.851012.0+30.3
321023.41.371031.4+8.0
331046.80.821052.8+6.0
341064.12.711073.0+8.9
351074.22.591084.6+10.4
361117.63.661123.4+5.8
371133.20.271142.9+9.7
381168.00.001184.9+16.9
391193.00.921190.8-2.2
401198.11.221197.3-0.9
411205.51.251213.7+8.3
421232.00.551238.8+6.7
431253.84.111260.2+6.3
441273.01.011288.0+15.0
451298.40.041303.5+5.1
461339.91.171323.7-16.1
471361.96.841362.2+0.4
481388.70.661369.4-19.2
491443.50.221455.2+11.7
501467.99.291486.2+18.3
511482.93.161493.4+10.5
521503.620.241516.7+13.1
531512.08.961524.2+12.2
541515.86.531530.3+14.5
551531.53.141544.4+12.9
561535.113.851554.1+19.0
571633.10.311666.4+33.3
581641.71.891680.0+38.3
591657.00.971695.2+38.2
601664.12.441705.5+41.4
613033.717.623075.5+41.8
623039.121.443077.0+37.9
633060.112.963115.2+55.1
643091.118.073142.5+51.4
653122.324.683170.4+48.1
663173.87.363217.8+44.0
673176.73.113220.1+43.3
683182.423.103226.1+43.7
693186.818.393229.9+43.2
703200.939.103244.6+43.6
713203.736.013246.7+43.0
723234.611.903278.1+43.5

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 4 cm⁻¹; wb97x max |Δω| 24 cm⁻¹.

Provenance

  • Releases: layerA2_2026-09-23, layerA2_2026-09-23b, layerA2_2026-09-24
  • Entered the corpus as: substituted three- and four-ring cores, enumerated from the parents (layer A′) (layer A2)
  • Run: ubuntu-32gb-hel1-11, 2026-09-20 11:55:05 → 2026-09-20 13:21:24, 5179 s, peak 5.68 GB, deck 97ed2d67c66b
  • 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