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Vibrational frequency scaling factors


Calculated vibrational frequencies ("theory" in table) are calculated at CCSD(T)/6-311+G(3df,2p)
Scale factor How many Source
Molecules Vibrations
0.987 ± 0.024 65 85 cccbdb
Jump to histogram
Formula Name Mode Symmetry Frequency Count
Theory Experiment ratio molecules vibrations
H2 Hydrogen diatomic 1 Σg 4411 4161 0.943 1 1
LiH Lithium Hydride 1 Σ 1384 1360 0.982 2 2
Li2 Lithium diatomic 1 Σg 342 346 1.012 3 3
NaH sodium hydride 1 Σ 1137 1133 0.997 4 4
Na2 Sodium diatomic 1 Σg 152 158 1.039 5 5
BeH beryllium monohydride 1 Σ 2031 1987 0.978 6 6
MgH magnesium monohydride 1 Σ 1478 1432 0.969 7 7
BH Boron monohydride 1 Σ 2347 2269 0.967 8 8
CH Methylidyne 1 Σ 2857 2733 0.957 9 9
C2 Carbon diatomic 1 Σg 1846 1827 0.990 10 10
SiH Silylidyne 1 Σ 2029 1971 0.971 11 11
NH Imidogen 1 Σ 3289 3126 0.950 12 12
CN Cyano radical 1 Σ 2115 2042 0.966 13 13
N2 Nitrogen diatomic 1 Σg 2343 2330 0.995 14 14
    1 Σg 1736 1733 0.999 14 15
PH phosphorus monohydride 1 Σ 2351 2276 0.968 15 16
PN Phosphorus mononitride 1 Σ 1335 1323 0.991 16 17
P2 Phosphorus diatomic 1 Σg 778 775 0.997 17 18
OH Hydroxyl radical 1 Σ 3753 3570 0.951 18 19
LiO lithium oxide 1 Σ 793 799 1.007 19 20
BeO beryllium oxide 1 Σ 1463 1435 0.980 20 21
BO boron monoxide 1 Σ 1887 1862 0.986 21 22
CO Carbon monoxide 1 Σ 2163 2143 0.991 22 23
NaO sodium monoxide 1 Σ 504     23 24
MgO magnesium oxide 1 Σ 780 775 0.994 24 25
SiO Silicon monoxide 1 Σ 1222 1230 1.006 25 26
HS Mercapto radical 1 Σ 2687 2599 0.967 26 27
BeS beryllium sulfide 1 Σ 978 986 1.008 27 28
BS boron sulfide 1 Σ 1177 1167 0.992 28 29
CS carbon monosulfide 1 Σ 1282 1272 0.993 29 30
SO Sulfur monoxide 1 Σ 1151 1138 0.989 30 31
    1 Σ 1094 1054 0.963 30 32
MgS magnesium sulfide 1 Σ 519 523 1.008 31 33
AlS Aluminum sulfide 1 Σ 616 610 0.992 32 34
SiS silicon monosulfide 1 Σ 744 744 1.001 33 35
S2 Sulfur diatomic 1 Σg 720 720 1.000 34 36
HF Hydrogen fluoride 1 Σ 4167 3961 0.951 35 37
LiF lithium fluoride 1 Σ 892 896 1.004 36 38
BeF Beryllium monofluoride 1 Σ 1246     37 39
CF Fluoromethylidyne 1 Σ 1310 1286 0.982 38 40
NF nitrogen fluoride 1 Σ 1154 1123 0.974 39 41
F2 Fluorine diatomic 1 Σg 894 894 1.000 40 42
NaF sodium fluoride 1 Σ 536 529 0.987 41 43
AlF Aluminum monofluoride 1 Σ 773 793 1.025 42 44
SiF silicon monofluoride 1 Σ 827 848 1.025 43 45
SF Monosulfur monofluoride 1 Σ 819 829 1.012 44 46
HCl Hydrogen chloride 1 Σ 2989 2886 0.966 45 47
LiCl lithium chloride 1 Σ 629 634 1.009 46 48
BeCl beryllium monochloride 1 Σ 839 847 1.009 47 49
BCl boron monochloride 1 Σ 843 829 0.984 48 50
CCl carbon monochloride 1 Σ 882 866 0.981 49 51
ClO Monochlorine monoxide 1 Σ 851 843 0.990 50 52
ClF Chlorine monofluoride 1 Σ 766 773 1.010 51 53
NaCl Sodium Chloride 1 Σ 352 361 1.027 52 54
SiCl Clorosilylidyne 1 Σ 530 531 1.003 53 55
SCl sulfur monochloride 1 Σ 569 577 1.014 54 56
Cl2 Chlorine diatomic 1 Σg 545 554 1.016 55 57
NH3 Ammonia 1 A1 3493 3337 0.955 56 58
    2 A1 1060 950 0.897 56 59
    3 E 3620 3444 0.951 56 60
    4 E 1676 1627 0.971 56 61
B2H6 Diborane 1 Ag 2619 2530 0.966 57 62
    2 Ag 2186 2088 0.955 57 63
    3 Ag 1209 1183 0.979 57 64
    4 Ag 818 790 0.966 57 65
    5 Au 854 833 0.975 57 66
    6 B1g 2697 2596 0.963 57 67
    7 B1g 941 915 0.972 57 68
    8 B1u 2011 1930 0.960 57 69
    9 B1u 995 973 0.978 57 70
    10 B2g 1893 1760 0.930 57 71
    11 B2g 895 860 0.961 57 72
    12 B2u 2711 2609 0.962 57 73
    13 B2u 976 949 0.972 57 74
    14 B2u 370 369 0.997 57 75
    15 B3g 1059 1020 0.963 57 76
    16 B3u 2604 2520 0.968 57 77
    17 B3u 1749 1603 0.916 57 78
    18 B3u 1197 1172 0.979 57 79

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 45 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 35 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 25 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 15 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 5 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