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Vibrational frequency scaling factors


Calculated vibrational frequencies ("theory" in table) are calculated at MP2=FULL/cc-pVQZ
Scale factor How many Source
Molecules Vibrations
0.957 ± 0.029 75 142 cccbdb
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Formula Name Mode Symmetry Frequency Count
Theory Experiment ratio molecules vibrations
H2 Hydrogen diatomic 1 Σg 4519 4161 0.921 1 1
LiH Lithium Hydride 1 Σ 1442 1360 0.943 2 2
Li2 Lithium diatomic 1 Σg 364 346 0.951 3 3
NaH sodium hydride 1 Σ 1421 1133 0.797 4 4
Na2 Sodium diatomic 1 Σg 249 158 0.633 5 5
BeH beryllium monohydride 1 Σ 2113 1987 0.940 6 6
MgH magnesium monohydride 1 Σ 1666 1432 0.860 7 7
BH Boron monohydride 1 Σ 2452 2269 0.925 8 8
AlH aluminum monohydride 1 Σ 1906 1625 0.853 9 9
CH Methylidyne 1 Σ 2969 2733 0.921 10 10
    1 Σ 3226     10 11
C2 Carbon diatomic 1 Σg 1899 1827 0.962 11 12
SiH Silylidyne 1 Σ 2150 1971 0.917 12 13
Si2 Silicon diatomic 1 Σg 521 507 0.973 13 14
NH Imidogen 1 Σ 3417 3126 0.915 14 15
N2 Nitrogen diatomic 1 Σg 2220 2330 1.050 15 16
    1 Σg 1758 1733 0.986 15 17
PH phosphorus monohydride 1 Σ 2430 2276 0.937 16 18
    1 Σ 2455 2319 0.945 16 19
CP Carbon monophosphide 1 Σ 1331 1226 0.921 17 20
PN Phosphorus mononitride 1 Σ 1207 1323 1.096 18 21
P2 Phosphorus diatomic 1 Σg 740 775 1.048 19 22
OH Hydroxyl radical 1 Σ 3829 3570 0.932 20 23
LiO lithium oxide 1 Σ 822 799 0.972 21 24
BeO beryllium oxide 1 Σ 1433 1435 1.001 22 25
BO boron monoxide 1 Σ 1928 1862 0.966 23 26
CO Carbon monoxide 1 Σ 2142 2143 1.001 24 27
    1 Σ 2532     24 28
NaO sodium monoxide 1 Σ 436     25 29
MgO magnesium oxide 1 Σ 1019 775 0.760 26 30
SiO Silicon monoxide 1 Σ 1210 1230 1.016 27 31
HS Mercapto radical 1 Σ 2759 2599 0.942 28 32
BeS beryllium sulfide 1 Σ 1015 986 0.971 29 33
BS boron sulfide 1 Σ 1226 1167 0.952 30 34
CS carbon monosulfide 1 Σ 1309 1272 0.972 31 35
SO Sulfur monoxide 1 Σ 1151 1138 0.989 32 36
    1 Σ 1037 1054 1.017 32 37
MgS magnesium sulfide 1 Σ 566 523 0.924 33 38
AlS Aluminum sulfide 1 Σ 704 610 0.867 34 39
SiS silicon monosulfide 1 Σ 755 744 0.986 35 40
S2 Sulfur diatomic 1 Σg 727 720 0.990 36 41
HF Hydrogen fluoride 1 Σ 4162 3961 0.952 37 42
LiF lithium fluoride 1 Σ 914 896 0.981 38 43
BeF Beryllium monofluoride 1 Σ 1263     39 44
CF Fluoromethylidyne 1 Σ 1342 1286 0.958 40 45
NF nitrogen fluoride 1 Σ 1184 1123 0.949 41 46
F2 Fluorine diatomic 1 Σg 1010 894 0.885 42 47
NaF sodium fluoride 1 Σ 494 529 1.070 43 48
MgF Magnesium monofluoride 1 Σ 731     44 49
AlF Aluminum monofluoride 1 Σ 830 793 0.955 45 50
SiF silicon monofluoride 1 Σ 857 848 0.989 46 51
PF phosphorus monofluoride 1 Σ 849 838 0.987 47 52
SF Monosulfur monofluoride 1 Σ 855 829 0.970 48 53
HCl Hydrogen chloride 1 Σ 3047 2886 0.947 49 54
LiCl lithium chloride 1 Σ 643 634 0.986 50 55
BeCl beryllium monochloride 1 Σ 858 847 0.987 51 56
BCl boron monochloride 1 Σ 867 829 0.957 52 57
CCl carbon monochloride 1 Σ 911 866 0.950 53 58
ClO Monochlorine monoxide 1 Σ 857 843 0.983 54 59
ClF Chlorine monofluoride 1 Σ 812 773 0.953 55 60
NaCl Sodium Chloride 1 Σ 330 361 1.094 56 61
MgCl magnesium monochloride 1 Σ 479     57 62
AlCl Aluminum monochloride 1 Σ 507 478 0.942 58 63
SiCl Clorosilylidyne 1 Σ 539 531 0.986 59 64
PCl phosphorus chloride 1 Σ 561 547 0.976 60 65
SCl sulfur monochloride 1 Σ 597 577 0.966 61 66
Cl2 Chlorine diatomic 1 Σg 584 554 0.949 62 67
BeH2 beryllium dihydride 2 Σu 2275 2159 0.949 63 68
    3 Πu 710 698 0.983 63 69
H2O Water 1 A1 3864 3657 0.947 64 70
    2 A1 1646 1595 0.969 64 71
    3 B2 3986 3756 0.942 64 72
CO2 Carbon dioxide 1 Σg 1343 1333 0.993 65 73
    2 Σu 2434 2349 0.965 65 74
    3 Πu 666 667 1.001 65 75
C2H2 Acetylene 1 Σg 3540 3374 0.953 66 76
    2 Σg 1986 1974 0.994 66 77
    3 Σu 3451 3289 0.953 66 78
    4 Πg 601 612 1.019 66 79
    5 Πu 760 730 0.960 66 80
NH3 Ammonia 1 A1 3531 3337 0.945 67 81
    2 A1 1060 950 0.896 67 82
    3 E 3676 3444 0.937 67 83
    4 E 1682 1627 0.967 67 84
P4 Phosphorus tetramer 1 A1 623 601 0.964 68 85
    2 E 374 361 0.965 68 86
    3 T2 473 467 0.988 68 87
H2CO Formaldehyde 1 A1 2985 2782 0.932 69 88
    2 A1 1779 1746 0.982 69 89
    3 A1 1554 1500 0.965 69 90
    4 B1 1211 1167 0.964 69 91
    5 B2 3061 2843 0.929 69 92
    6 B2 1283 1249 0.974 69 93
BF3 Borane, trifluoro- 1 A1' 898 888 0.988 70 94
    2 A2" 701 691 0.986 70 95
    3 E' 1481 1449 0.978 70 96
    4 E' 484 480 0.992 70 97
AlF3 Aluminum trifluoride 1 A1' 723 690 0.954 71 98
    2 A2" 314 297 0.947 71 99
    3 E' 1002 935 0.933 71 100
    4 E' 261 263 1.006 71 101
CH4 Methane 1 A1 3089 2917 0.944 72 102
    2 E 1591 1534 0.964 72 103
    3 T2 3227 3019 0.936 72 104
    4 T2 1354 1306 0.964 72 105
C2H4 Ethylene 1 Ag 3209 3026 0.943 73 106
    2 Ag 1692 1623 0.959 73 107
    3 Ag 1389 1342 0.967 73 108
    4 Au 1079 1023 0.948 73 109
    5 B1u 3192 2989 0.936 73 110
    6 B1u 1486 1444 0.971 73 111
    7 B2g 973 940 0.965 73 112
    8 B2u 3307 3105 0.939 73 113
    9 B2u 830 826 0.995 73 114
    10 B3g 3281 3086 0.941 73 115
    11 B3g 1246 1217 0.976 73 116
    12 B3u 987 949 0.961 73 117
C2H6 Ethane 1 A1g 3093 2954 0.955 74 118
    2 A1g 1436 1388 0.967 74 119
    3 A1g 1035 995 0.961 74 120
    4 A1u 316 289 0.913 74 121
    5 A2u 3096 2896 0.936 74 122
    6 A2u 1416 1379 0.974 74 123
    7 Eg 3169 2969 0.937 74 124
    8 Eg 1528 1468 0.961 74 125
    9 Eg 1235 1190 0.964 74 126
    10 Eu 3191 2985 0.936 74 127
    11 Eu 1527 1469 0.962 74 128
    12 Eu 832 822 0.988 74 129
C3H5 Allyl radical 1 A1 3330 3114 0.935 75 130
    2 A1 3222 3048 0.946 75 131
    4 A1 1560 1488 0.954 75 132
    5 A1 1319 1245 0.944 75 133
    6 A1 1075 1066 0.991 75 134
    7 A1 436 427 0.979 75 135
    9 A2 601 549 0.914 75 136
    10 B1 1081 968 0.895 75 137
    11 B1 882 802 0.909 75 138
    12 B1 568 518 0.912 75 139
    13 B2 3328 3105 0.933 75 140
    14 B2 3214 3016 0.938 75 141
    15 B2 1522 1463 0.961 75 142
    16 B2 1431 1389 0.970 75 143
    17 B2 1143 1182 1.034 75 144

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.

40 80 1 1 1 1 1 1 1 1 1 1 1 1 1 1
40 70 1 1 1 1 1 1 1 1 1 1 1 1 1 1
40 60 1 1 1 1 1 1 1 1 1 1 1 1 1 1
40 50 1 1 1 1 1 1 1 1 1 1 1 1 1 1
40 40 1 1 1 1 1 1 1 1 1 1 1 1 1 1
40 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1
40 20 1 1 1 1 1 1 1 1 1 1 1 1 1 1
40 10 1 1 1 1 1 1 1 1 1 1 1 1 1 1
40 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1
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