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III.B.3.b. (XIII.C.2.)

Vibrational frequency scaling factors

Calculated vibrational frequencies ("theory" in table) are calculated at LSDA/aug-cc-pVTZ
Scale factor How many Source
Molecules Vibrations
1.011 ± 0.037 8 8 cccbdb
Jump to histogram
Formula Name Mode Symmetry Frequency Count
Theory Experiment ratio molecules vibrations
Si2 Silicon diatomic 1 Σg 622 511 0.822 1 1
NH Imidogen 1 Σ 3209 3283 1.023 2 2
    1 Σ 3209 3314 1.033 2 3
SO Sulfur monoxide 1 Σ 1142 1151 1.008 3 4
NF nitrogen fluoride 1 Σ 1232 1141 0.926 4 5
PH phosphorus monohydride 1 Σ 2299 2364 1.028 5 6
    1 Σ 2299 2415 1.050 5 7
    1 Σ 2299 2403 1.045 5 8
PF phosphorus monofluoride 1 Σ 845 847 1.002 6 9
PCl phosphorus chloride 1 Σ 574 577 1.004 7 10
S2 Sulfur diatomic 1 Σg 712 726 1.020 8 11

How do we calculate the scaling factor?


Histogram of vibrational frequency ratios

Ratios greater than 1.35 are in the 1.35 bin. Ratios less than 0.7 are in the 0.7 bin.

20
15
10
5
0
0.70 0.75 0.80 0.85 0.90 0.95 1.00 1.05 1.10 1.15 1.20 1.25 1.30 1.35
Ratio of experimental frequency to calculated frequency