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

Vibrational frequency scaling factors

Calculated vibrational frequencies ("theory" in table) are calculated at ROHF/6-31G*
Scale factor How many Source
Molecules Vibrations
0.895 ±  
Jump to histogram
Formula Name Mode Symmetry Frequency Count
Theory Experiment ratio molecules vibrations
CF3 Trifluoromethyl radical 1 A1 1220 1089 0.892 1 1
    2 A1 759 701 0.924 1 2
    3 E 1442 1260 0.874 1 3
    4 E 550 509 0.924 1 4
HCO Formyl radical 1 A' 3010 2434 0.809 2 5
    2 A' 2155 1868 0.867 2 6
    3 A' 1273 1081 0.849 2 7
C3H3 Propargyl radical 1 A1 3664 3322 0.907 3 8
    6 B1 755 687 0.911 3 9
    7 B1 483 490 1.014 3 10
CH Methylidyne 1 Σ 3066 2861 0.933 4 11
    1 Σ 3066 3145 1.026 4 12
    1 Σ 3066 2931 0.956 4 13
OH Hydroxyl radical 1 Σ 4013 3738 0.931 5 14
NF2 Difluoroamino radical 1 A1 1270 1075 0.846 6 15
    2 A1 653 573 0.877 6 16
    3 B2 1193 942 0.790 6 17
CF Fluoromethylidyne 1 Σ 1410 1308 0.927 7 18
CCl carbon monochloride 1 Σ 872 877 1.006 8 19
OClO Chlorine dioxide 1 A1 1070 946 0.883 9 20
    2 A1 508 448 0.882 9 21
    3 B2 1275 1110 0.870 9 22
SiF silicon monofluoride 1 Σ 919 857 0.932 10 23
SiN Silicon nitride 1 Σ 1319 1151 0.873 11 24
LiO lithium oxide 1 Σ 888 815 0.917 12 25
BS boron sulfide 1 Σ 1269 1180 0.930 13 26
AlS Aluminum sulfide 1 Σ 681 617 0.906 14 27
CP Carbon monophosphide 1 Σ 1453 1240 0.853 15 28
NaO sodium monoxide 1 Σ 525 492 0.938 16 29
Si2 Silicon diatomic 1 Σg 594 511 0.861 17 30
BeF Beryllium monofluoride 1 Σ 1318 1247 0.947 18 31
PH2 Phosphino radical 1 A1 2582 2310 0.895 19 32
    2 A1 1258 1102 0.876 19 33
SiH3 silyl 1 A1 2362 2136 0.904 20 34
    2 A1 899 728 0.809 20 35
    3 E 2381 2185 0.918 20 36
    4 E 1017 922 0.907 20 37
NH2 Amino radical 1 A1 3623 3219 0.888 21 38
    2 A1 1715 1497 0.873 21 39
    3 B2 3725 3301 0.886 21 40
NH Imidogen 1 Σ 3568 3283 0.920 22 41
    1 Σ 3568 3314 0.929 22 42
SiH Silylidyne 1 Σ 2182 2043 0.936 23 43
BeCl beryllium chloride 1 Σ 856 847 0.990 24 44
SH Mercapto radical 1 Σ 2899 2696 0.930 25 45
SiCl Clorosilylidyne 1 Σ 532 536 1.008 26 46
PH phosphorus monohydride 1 Σ 2551 2364 0.927 27 47
    1 Σ 2551 2415 0.947 27 48
    1 Σ 2551 2403 0.942 27 49
MgH magnesium monohydride 1 Σ 1577 1493 0.947 28 50
BH2 boron dihydride 2 A1 1150 954 0.829 29 51
AlH2 aluminum dihydride 1 A1 1970 1770 0.899 30 52
    2 A1 821 760 0.926 30 53
    3 B2 1984 1807 0.911 30 54
MgF Magnesium monofluoride 1 Σ 779 712 0.914 31 55
MgCl magnesium monochloride 1 Σ 459 462 1.006 32 56
ClO Monochlorine monoxide 1 Σ 869 854 0.982 33 57
PF phosphorus monofluoride 1 Σ 912 847 0.929 34 58
BeOH beryllium hydroxide 2 A' 1303 1246 0.956 35 59
S2 Sulfur diatomic 1 Σg 819 726 0.887 36 60
ClS2 Sulfur chloride 1 A' 598 662 1.106 37 61
    2 A' 528 450 0.852 37 62
    3 A' 241 196 0.812 37 63

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.

25
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