III.G.7. (XIII.B.3.) (XIII.D.5.) |
Compare vibrational frequencies for two calculations for C14H14 (Bibenzyl)
A =
HF/6-31G*
B =
MP2/6-31G*
scale factors=0.8985, 0.943
symmetry | frequency (cm-1) | reduced mass (amu) | IR Intensity (km mol-1) | ||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
mode number | A | B | A | B | diff. | ratio | A | B | diff. | ratio | A | B | diff. | ratio | |||
1 | A | A | 3042 | 3059 | -17.2 | 0.994 | 1.099 | 1.099 | -0.000 | 1.000 | 26.30 | 18.40 | 7.90 | 1.429 | |||
2 | A | A | 3031 | 3048 | -17.0 | 0.994 | 1.096 | 1.095 | 0.000 | 1.000 | 6.48 | 6.35 | 0.14 | 1.021 | |||
3 | A | A | 3022 | 3040 | -17.5 | 0.994 | 1.092 | 1.091 | 0.002 | 1.001 | 30.45 | 7.24 | 23.21 | 4.203 | |||
4 | A | A | 3013 | 3031 | -17.7 | 0.994 | 1.088 | 1.088 | 0.000 | 1.000 | 0.56 | 0.34 | 0.22 | 1.647 | |||
5 | A | A | 3003 | 3020 | -16.6 | 0.994 | 1.088 | 1.089 | -0.001 | 0.999 | 17.20 | 13.70 | 3.50 | 1.256 | |||
6 | A | A | 2912 | 2962 | -49.3 | 0.983 | 1.105 | 1.105 | 0.000 | 1.000 | 23.42 | 14.30 | 9.12 | 1.638 | |||
7 | A | A | 2888 | 2916 | -28.4 | 0.990 | 1.062 | 1.061 | 0.001 | 1.001 | 61.85 | 37.12 | 24.73 | 1.666 | |||
8 | A | A | 1628 | 1584 | 44.6 | 1.028 | 5.276 | 5.785 | -0.509 | 0.912 | 2.35 | 0.84 | 1.51 | 2.807 | |||
9 | A | A | 1603 | 1564 | 39.4 | 1.025 | 5.196 | 5.686 | -0.490 | 0.914 | 0.80 | 0.20 | 0.60 | 4.014 | |||
10 | A | A | 1502 | 1466 | 35.1 | 1.024 | 2.203 | 2.164 | 0.039 | 1.018 | 12.04 | 13.47 | -1.44 | 0.893 | |||
11 | A | A | 1476 | 1460 | 16.0 | 1.011 | 1.111 | 1.141 | -0.031 | 0.973 | 0.25 | 0.19 | 0.06 | 1.297 | |||
12 | A | A | 1456 | 1424 | 31.8 | 1.022 | 2.084 | 2.202 | -0.118 | 0.946 | 5.53 | 3.92 | 1.61 | 1.412 | |||
13 | A | A | 1353 | 1390 | -37.4 | 0.973 | 1.320 | 7.565 | -6.245 | 0.174 | 2.77 | 0.38 | 2.38 | 7.200 | |||
14 | A | A | 1328 | 1308 | 20.0 | 1.015 | 1.393 | 1.283 | 0.111 | 1.086 | 0.25 | 1.45 | -1.21 | 0.169 | |||
15 | A | A | 1238 | 1283 | -44.9 | 0.965 | 1.293 | 1.441 | -0.148 | 0.898 | 0.72 | 0.14 | 0.58 | 5.151 | |||
16 | A | A | 1195 | 1195 | -0.0 | 1.000 | 1.769 | 1.842 | -0.073 | 0.960 | 0.62 | 2.27 | -1.65 | 0.273 | |||
17 | A | A | 1185 | 1178 | 6.8 | 1.006 | 1.859 | 1.516 | 0.344 | 1.227 | 0.43 | 2.09 | -1.66 | 0.204 | |||
18 | A | A | 1170 | 1163 | 7.2 | 1.006 | 1.198 | 1.130 | 0.068 | 1.060 | 0.91 | 0.95 | -0.04 | 0.954 | |||
19 | A | A | 1104 | 1145 | -41.1 | 0.964 | 1.926 | 1.067 | 0.858 | 1.804 | 1.19 | 0.03 | 1.17 | 45.068 | |||
20 | A | A | 1065 | 1071 | -6.0 | 0.994 | 1.831 | 1.553 | 0.278 | 1.179 | 1.21 | 3.39 | -2.18 | 0.357 | |||
21 | A | A | 1018 | 1009 | 8.1 | 1.008 | 2.209 | 2.165 | 0.044 | 1.020 | 1.20 | 1.81 | -0.62 | 0.660 | |||
22 | A | A | 1009 | 982 | 26.4 | 1.027 | 1.325 | 2.143 | -0.818 | 0.618 | 0.06 | 0.22 | -0.16 | 0.277 | |||
23 | A | A | 988 | 965 | 22.9 | 1.024 | 2.062 | 6.255 | -4.193 | 0.330 | 0.12 | 0.12 | -0.01 | 0.931 | |||
24 | A | A | 987 | 926 | 61.5 | 1.066 | 1.482 | 2.167 | -0.685 | 0.684 | 0.02 | 0.40 | -0.38 | 0.042 | |||
25 | A | A | 979 | 838 | 141.9 | 1.169 | 5.552 | 1.106 | 4.447 | 5.022 | 0.05 | 0.02 | 0.02 | 2.004 | |||
26 | A | A | 927 | 829 | 98.5 | 1.119 | 1.394 | 1.279 | 0.115 | 1.090 | 0.66 | 0.04 | 0.62 | 17.722 | |||
27 | A | A | 916 | 810 | 105.6 | 1.130 | 2.306 | 1.226 | 1.080 | 1.881 | 0.07 | 0.01 | 0.06 | 6.336 | |||
28 | A | A | 860 | 784 | 76.3 | 1.097 | 1.249 | 1.248 | 0.002 | 1.001 | 0.02 | 0.03 | -0.01 | 0.639 | |||
29 | A | A | 766 | 740 | 26.0 | 1.035 | 1.825 | 4.379 | -2.554 | 0.417 | 9.52 | 0.24 | 9.28 | 40.401 | |||
30 | A | A | 729 | 688 | 40.8 | 1.059 | 3.099 | 1.197 | 1.902 | 2.589 | 3.00 | 9.00 | -6.01 | 0.333 | |||
31 | A | A | 701 | 598 | 102.4 | 1.171 | 2.029 | 6.250 | -4.221 | 0.325 | 7.54 | 0.02 | 7.52 | 345.762 | |||
32 | A | A | 612 | 530 | 82.2 | 1.155 | 6.315 | 4.506 | 1.809 | 1.401 | 0.02 | 2.12 | -2.10 | 0.008 | |||
33 | A | A | 531 | 480 | 50.9 | 1.106 | 3.679 | 6.087 | -2.409 | 0.604 | 3.75 | 0.08 | 3.67 | 48.881 | |||
34 | A | A | 469 | 440 | 29.2 | 1.067 | 4.064 | 5.715 | -1.651 | 0.711 | 0.13 | 0.48 | -0.35 | 0.278 | |||
35 | A | A | 410 | 374 | 35.8 | 1.096 | 2.924 | 3.252 | -0.328 | 0.899 | 0.00 | 0.01 | -0.01 | 0.346 | |||
36 | A | A | 357 | 361 | -4.6 | 0.987 | 1.984 | 2.036 | -0.052 | 0.974 | 0.13 | 0.09 | 0.04 | 1.407 | |||
37 | A | A | 222 | 220 | 1.6 | 1.007 | 4.484 | 4.490 | -0.005 | 0.999 | 0.39 | 0.25 | 0.14 | 1.563 | |||
38 | A | A | 119 | 112 | 6.8 | 1.061 | 3.457 | 3.429 | 0.029 | 1.008 | 0.03 | 0.02 | 0.01 | 1.761 | |||
39 | A | A | 44 | 52 | -8.1 | 0.844 | 4.425 | 4.108 | 0.317 | 1.077 | 0.01 | 0.00 | 0.00 | 1.917 | |||
40 | A | A | 28 | 30 | -2.1 | 0.929 | 4.164 | 4.638 | -0.474 | 0.898 | 0.00 | 0.00 | -0.00 | 0.000 | |||
41 | B | B | 3042 | 3059 | -17.2 | 0.994 | 1.099 | 1.099 | -0.001 | 1.000 | 17.16 | 12.57 | 4.59 | 1.365 | |||
42 | B | B | 3031 | 3048 | -16.8 | 0.994 | 1.096 | 1.095 | 0.000 | 1.000 | 102.12 | 46.61 | 55.51 | 2.191 | |||
43 | B | B | 3022 | 3040 | -17.6 | 0.994 | 1.092 | 1.091 | 0.002 | 1.001 | 6.88 | 0.97 | 5.91 | 7.110 | |||
44 | B | B | 3013 | 3031 | -17.9 | 0.994 | 1.088 | 1.088 | 0.000 | 1.000 | 1.73 | 5.80 | -4.08 | 0.298 | |||
45 | B | B | 3003 | 3020 | -16.7 | 0.994 | 1.088 | 1.089 | -0.001 | 0.999 | 3.86 | 1.92 | 1.94 | 2.012 | |||
46 | B | B | 2925 | 2972 | -47.0 | 0.984 | 1.102 | 1.105 | -0.003 | 0.997 | 46.15 | 23.65 | 22.50 | 1.951 | |||
47 | B | B | 2877 | 2913 | -35.9 | 0.988 | 1.064 | 1.060 | 0.004 | 1.004 | 20.16 | 13.58 | 6.59 | 1.485 | |||
48 | B | B | 1628 | 1583 | 44.4 | 1.028 | 5.304 | 5.826 | -0.522 | 0.910 | 7.23 | 3.02 | 4.21 | 2.392 | |||
49 | B | B | 1604 | 1564 | 39.3 | 1.025 | 5.176 | 5.673 | -0.497 | 0.912 | 2.35 | 0.80 | 1.55 | 2.938 | |||
50 | B | B | 1502 | 1468 | 34.1 | 1.023 | 2.184 | 2.078 | 0.106 | 1.051 | 13.28 | 8.95 | 4.33 | 1.484 | |||
51 | B | B | 1472 | 1456 | 16.4 | 1.011 | 1.104 | 1.156 | -0.053 | 0.955 | 5.65 | 6.07 | -0.42 | 0.931 | |||
52 | B | B | 1456 | 1424 | 31.7 | 1.022 | 2.118 | 2.214 | -0.095 | 0.957 | 13.25 | 12.44 | 0.81 | 1.065 | |||
53 | B | B | 1360 | 1392 | -31.6 | 0.977 | 1.437 | 7.791 | -6.354 | 0.184 | 18.35 | 0.62 | 17.73 | 29.635 | |||
54 | B | B | 1335 | 1324 | 11.0 | 1.008 | 1.294 | 1.577 | -0.284 | 0.820 | 0.49 | 7.19 | -6.70 | 0.069 | |||
55 | B | B | 1224 | 1295 | -71.6 | 0.945 | 1.526 | 1.282 | 0.244 | 1.190 | 0.35 | 0.57 | -0.22 | 0.619 | |||
56 | B | B | 1182 | 1177 | 4.8 | 1.004 | 2.119 | 2.058 | 0.060 | 1.029 | 0.78 | 0.52 | 0.26 | 1.497 | |||
57 | B | B | 1170 | 1163 | 7.0 | 1.006 | 1.228 | 1.144 | 0.084 | 1.074 | 0.21 | 0.58 | -0.36 | 0.368 | |||
58 | B | B | 1147 | 1145 | 2.1 | 1.002 | 1.144 | 1.064 | 0.080 | 1.075 | 0.55 | 0.03 | 0.52 | 16.328 | |||
59 | B | B | 1071 | 1127 | -56.3 | 0.950 | 2.419 | 1.134 | 1.286 | 2.134 | 0.23 | 1.38 | -1.14 | 0.170 | |||
60 | B | B | 1061 | 1051 | 9.9 | 1.009 | 1.632 | 1.577 | 0.055 | 1.035 | 5.63 | 6.82 | -1.19 | 0.825 | |||
61 | B | B | 1016 | 1008 | 8.5 | 1.008 | 2.289 | 2.250 | 0.039 | 1.017 | 2.18 | 2.82 | -0.64 | 0.774 | |||
62 | B | B | 1009 | 965 | 43.7 | 1.045 | 1.321 | 6.217 | -4.896 | 0.212 | 0.58 | 0.79 | -0.21 | 0.736 | |||
63 | B | B | 987 | 891 | 96.6 | 1.108 | 1.375 | 2.182 | -0.807 | 0.630 | 0.09 | 2.82 | -2.73 | 0.033 | |||
64 | B | B | 979 | 835 | 144.5 | 1.173 | 5.996 | 1.100 | 4.897 | 5.454 | 0.27 | 0.08 | 0.19 | 3.304 | |||
65 | B | B | 951 | 829 | 122.0 | 1.147 | 1.856 | 1.279 | 0.577 | 1.451 | 7.27 | 0.07 | 7.21 | 109.847 | |||
66 | B | B | 897 | 811 | 86.6 | 1.107 | 1.606 | 1.232 | 0.375 | 1.304 | 0.27 | 1.59 | -1.32 | 0.171 | |||
67 | B | B | 860 | 784 | 75.6 | 1.096 | 1.251 | 1.251 | 0.000 | 1.000 | 0.02 | 0.02 | -0.01 | 0.749 | |||
68 | B | B | 759 | 748 | 10.7 | 1.014 | 1.568 | 3.155 | -1.586 | 0.497 | 66.54 | 1.87 | 64.67 | 35.574 | |||
69 | B | B | 751 | 693 | 57.7 | 1.083 | 3.188 | 1.240 | 1.949 | 2.572 | 0.84 | 106.27 | -105.43 | 0.008 | |||
70 | B | B | 700 | 599 | 101.1 | 1.169 | 1.899 | 5.620 | -3.720 | 0.338 | 50.78 | 1.82 | 48.96 | 27.927 | |||
71 | B | B | 613 | 589 | 23.7 | 1.040 | 6.268 | 2.443 | 3.825 | 2.566 | 0.14 | 25.79 | -25.66 | 0.005 | |||
72 | B | B | 573 | 489 | 84.1 | 1.172 | 2.644 | 4.806 | -2.162 | 0.550 | 13.26 | 5.10 | 8.16 | 2.600 | |||
73 | B | B | 495 | 452 | 42.6 | 1.094 | 3.929 | 7.365 | -3.435 | 0.534 | 9.77 | 4.79 | 4.98 | 2.040 | |||
74 | B | B | 410 | 374 | 35.7 | 1.095 | 2.924 | 3.381 | -0.457 | 0.865 | 0.06 | 0.17 | -0.11 | 0.337 | |||
75 | B | B | 355 | 340 | 15.4 | 1.045 | 2.943 | 2.598 | 0.345 | 1.133 | 0.05 | 0.07 | -0.02 | 0.697 | |||
76 | B | B | 319 | 307 | 11.8 | 1.038 | 2.656 | 3.316 | -0.661 | 0.801 | 0.40 | 0.37 | 0.03 | 1.082 | |||
77 | B | B | 121 | 113 | 7.9 | 1.070 | 4.340 | 4.418 | -0.078 | 0.982 | 0.84 | 0.96 | -0.12 | 0.876 | |||
78 | B | B | 29 | 34 | -4.3 | 0.871 | 3.694 | 3.712 | -0.018 | 0.995 | 0.10 | 0.19 | -0.09 | 0.534 | |||
scaled by | 0.8985 | 0.943 |
See section III.C.1 List or set vibrational scaling factors
to change the scale factors used here.
See section III.C.2
Calculate a vibrational scaling factor for a given set of molecules
to determine the least squares best scaling factor.