Jump to
S1C2
Energy calculated at MP2/CEP-121G*
| hartrees |
Energy at 0K | -44.359261 |
Energy at 298.15K | -44.373647 |
Nuclear repulsion energy | 144.838978 |
The energy at 298.15K was derived from the energy at 0K
and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at MP2/CEP-121G*
Mode Number |
Symmetry |
Frequency (cm-1) |
Scaled Frequency (cm-1) |
IR Intensities (km mol-1) |
Raman Act (Å4/u) |
Dep P |
Dep U |
1 |
A' |
3509 |
3343 |
0.66 |
|
|
|
2 |
A' |
3133 |
2985 |
82.72 |
|
|
|
3 |
A' |
3115 |
2968 |
17.09 |
|
|
|
4 |
A' |
3112 |
2965 |
49.86 |
|
|
|
5 |
A' |
3067 |
2922 |
19.19 |
|
|
|
6 |
A' |
3050 |
2906 |
34.38 |
|
|
|
7 |
A' |
2963 |
2823 |
147.07 |
|
|
|
8 |
A' |
1548 |
1475 |
2.57 |
|
|
|
9 |
A' |
1528 |
1456 |
6.72 |
|
|
|
10 |
A' |
1518 |
1447 |
7.71 |
|
|
|
11 |
A' |
1443 |
1375 |
2.98 |
|
|
|
12 |
A' |
1399 |
1333 |
0.08 |
|
|
|
13 |
A' |
1321 |
1259 |
0.39 |
|
|
|
14 |
A' |
1297 |
1236 |
2.34 |
|
|
|
15 |
A' |
1188 |
1132 |
6.21 |
|
|
|
16 |
A' |
1076 |
1026 |
14.18 |
|
|
|
17 |
A' |
1062 |
1011 |
4.42 |
|
|
|
18 |
A' |
919 |
876 |
2.41 |
|
|
|
19 |
A' |
880 |
839 |
25.01 |
|
|
|
20 |
A' |
839 |
799 |
2.44 |
|
|
|
21 |
A' |
801 |
763 |
71.41 |
|
|
|
22 |
A' |
546 |
520 |
18.47 |
|
|
|
23 |
A' |
420 |
400 |
8.34 |
|
|
|
24 |
A' |
409 |
390 |
0.99 |
|
|
|
25 |
A' |
253 |
241 |
2.13 |
|
|
|
26 |
A" |
3128 |
2981 |
10.73 |
|
|
|
27 |
A" |
3114 |
2967 |
82.07 |
|
|
|
28 |
A" |
3066 |
2922 |
43.60 |
|
|
|
29 |
A" |
2961 |
2821 |
29.07 |
|
|
|
30 |
A" |
1534 |
1462 |
0.00 |
|
|
|
31 |
A" |
1510 |
1439 |
2.11 |
|
|
|
32 |
A" |
1490 |
1419 |
3.56 |
|
|
|
33 |
A" |
1405 |
1339 |
0.30 |
|
|
|
34 |
A" |
1377 |
1312 |
21.90 |
|
|
|
35 |
A" |
1360 |
1296 |
11.97 |
|
|
|
36 |
A" |
1304 |
1242 |
2.20 |
|
|
|
37 |
A" |
1185 |
1129 |
9.35 |
|
|
|
38 |
A" |
1175 |
1120 |
6.72 |
|
|
|
39 |
A" |
1159 |
1104 |
4.46 |
|
|
|
40 |
A" |
1077 |
1026 |
3.36 |
|
|
|
41 |
A" |
983 |
937 |
0.67 |
|
|
|
42 |
A" |
898 |
856 |
0.45 |
|
|
|
43 |
A" |
821 |
782 |
0.28 |
|
|
|
44 |
A" |
440 |
419 |
1.03 |
|
|
|
45 |
A" |
255 |
243 |
0.45 |
|
|
|
Unscaled Zero Point Vibrational Energy (zpe) 35319.7 cm
-1
Scaled (by 0.9528) Zero Point Vibrational Energy (zpe) 33652.6 cm
-1
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.
Geometric Data calculated at MP2/CEP-121G*
Point Group is Cs
Cartesians (Å)
Atom |
x (Å) |
y (Å) |
z (Å) |
C1 |
0.646 |
1.329 |
0.000 |
H2 |
0.596 |
2.425 |
0.000 |
H3 |
1.711 |
1.054 |
0.000 |
C4 |
-0.018 |
0.755 |
1.265 |
C5 |
-0.018 |
0.755 |
-1.265 |
C6 |
-0.018 |
-0.779 |
-1.213 |
C7 |
-0.018 |
-0.779 |
1.213 |
N8 |
-0.739 |
-1.217 |
0.000 |
H9 |
-0.790 |
-2.238 |
0.000 |
H10 |
0.506 |
1.098 |
2.167 |
H11 |
0.506 |
1.098 |
-2.167 |
H12 |
-1.059 |
1.098 |
1.328 |
H13 |
-1.059 |
1.098 |
-1.328 |
H14 |
1.030 |
-1.142 |
-1.231 |
H15 |
1.030 |
-1.142 |
1.231 |
H16 |
-0.533 |
-1.194 |
-2.088 |
H17 |
-0.533 |
-1.194 |
2.088 |
Atom - Atom Distances (Å)
|
C1 |
H2 |
H3 |
C4 |
C5 |
C6 |
C7 |
N8 |
H9 |
H10 |
H11 |
H12 |
H13 |
H14 |
H15 |
H16 |
H17 |
C1 | | 1.0978 | 1.1006 | 1.5397 | 1.5397 | 2.5212 | 2.5212 | 2.8980 | 3.8451 | 2.1836 | 2.1836 | 2.1737 | 2.1737 | 2.7871 | 2.7871 | 3.4804 | 3.4804 |
H2 | 1.0978 | | 1.7675 | 2.1838 | 2.1838 | 3.4813 | 3.4813 | 3.8795 | 4.8654 | 2.5426 | 2.5426 | 2.5034 | 2.5034 | 3.7987 | 3.7987 | 4.3283 | 4.3283 | H3 | 1.1006 | 1.7675 | | 2.1638 | 2.1638 | 2.7972 | 2.7972 | 3.3408 | 4.1347 | 2.4801 | 2.4801 | 3.0730 | 3.0730 | 2.6083 | 2.6083 | 3.8015 | 3.8015 | C4 | 1.5397 | 2.1838 | 2.1638 | | 2.5302 | 2.9146 | 1.5352 | 2.4512 | 3.3400 | 1.0982 | 3.4888 | 1.0979 | 2.8157 | 3.3059 | 2.1673 | 3.9124 | 2.1771 | C5 | 1.5397 | 2.1838 | 2.1638 | 2.5302 | | 1.5352 | 2.9146 | 2.4512 | 3.3400 | 3.4888 | 1.0982 | 2.8157 | 1.0979 | 2.1673 | 3.3059 | 2.1771 | 3.9124 | C6 | 2.5212 | 3.4813 | 2.7972 | 2.9146 | 1.5352 | | 2.4259 | 1.4771 | 2.0482 | 3.9018 | 2.1704 | 3.3269 | 2.1500 | 1.1089 | 2.6841 | 1.0968 | 3.3666 | C7 | 2.5212 | 3.4813 | 2.7972 | 1.5352 | 2.9146 | 2.4259 | | 1.4771 | 2.0482 | 2.1704 | 3.9018 | 2.1500 | 3.3269 | 2.6841 | 1.1089 | 3.3666 | 1.0968 | N8 | 2.8980 | 3.8795 | 3.3408 | 2.4512 | 2.4512 | 1.4771 | 1.4771 | | 1.0225 | 3.4068 | 3.4068 | 2.6887 | 2.6887 | 2.1561 | 2.1561 | 2.0984 | 2.0984 | H9 | 3.8451 | 4.8654 | 4.1347 | 3.3400 | 3.3400 | 2.0482 | 2.0482 | 1.0225 | | 4.1843 | 4.1843 | 3.6015 | 3.6015 | 2.4553 | 2.4553 | 2.3490 | 2.3490 | H10 | 2.1836 | 2.5426 | 2.4801 | 1.0982 | 3.4888 | 3.9018 | 2.1704 | 3.4068 | 4.1843 | | 4.3339 | 1.7756 | 3.8299 | 4.1039 | 2.4836 | 4.9436 | 2.5179 | H11 | 2.1836 | 2.5426 | 2.4801 | 3.4888 | 1.0982 | 2.1704 | 3.9018 | 3.4068 | 4.1843 | 4.3339 | | 3.8299 | 1.7756 | 2.4836 | 4.1039 | 2.5179 | 4.9436 | H12 | 2.1737 | 2.5034 | 3.0730 | 1.0979 | 2.8157 | 3.3269 | 2.1500 | 2.6887 | 3.6015 | 1.7756 | 3.8299 | | 2.6570 | 3.9919 | 3.0645 | 4.1477 | 2.4712 | H13 | 2.1737 | 2.5034 | 3.0730 | 2.8157 | 1.0979 | 2.1500 | 3.3269 | 2.6887 | 3.6015 | 3.8299 | 1.7756 | 2.6570 | | 3.0645 | 3.9919 | 2.4712 | 4.1477 | H14 | 2.7871 | 3.7987 | 2.6083 | 3.3059 | 2.1673 | 1.1089 | 2.6841 | 2.1561 | 2.4553 | 4.1039 | 2.4836 | 3.9919 | 3.0645 | | 2.4628 | 1.7831 | 3.6695 | H15 | 2.7871 | 3.7987 | 2.6083 | 2.1673 | 3.3059 | 2.6841 | 1.1089 | 2.1561 | 2.4553 | 2.4836 | 4.1039 | 3.0645 | 3.9919 | 2.4628 | | 3.6695 | 1.7831 | H16 | 3.4804 | 4.3283 | 3.8015 | 3.9124 | 2.1771 | 1.0968 | 3.3666 | 2.0984 | 2.3490 | 4.9436 | 2.5179 | 4.1477 | 2.4712 | 1.7831 | 3.6695 | | 4.1763 | H17 | 3.4804 | 4.3283 | 3.8015 | 2.1771 | 3.9124 | 3.3666 | 1.0968 | 2.0984 | 2.3490 | 2.5179 | 4.9436 | 2.4712 | 4.1477 | 3.6695 | 1.7831 | 4.1763 | |
More geometry information
Calculated Bond Angles
atom1 |
atom2 |
atom3 |
angle |
|
atom1 |
atom2 |
atom3 |
angle |
C1 |
C4 |
C7 |
110.154 |
|
C1 |
C4 |
H10 |
110.630 |
C1 |
C4 |
H12 |
109.861 |
|
C1 |
C5 |
C6 |
110.154 |
C1 |
C5 |
H11 |
110.630 |
|
C1 |
C5 |
H13 |
109.861 |
H2 |
C1 |
H3 |
107.036 |
|
H2 |
C1 |
C4 |
110.665 |
H2 |
C1 |
C5 |
110.665 |
|
H3 |
C1 |
C4 |
108.939 |
H3 |
C1 |
C5 |
108.939 |
|
C4 |
C1 |
C5 |
110.502 |
C4 |
C7 |
N8 |
108.910 |
|
C4 |
C7 |
H15 |
109.041 |
C4 |
C7 |
H17 |
110.513 |
|
C5 |
C6 |
N8 |
108.910 |
C5 |
C6 |
H14 |
109.041 |
|
C5 |
C6 |
H16 |
110.513 |
C6 |
C5 |
H11 |
109.903 |
|
C6 |
C5 |
H13 |
108.335 |
C6 |
N8 |
C7 |
110.399 |
|
C6 |
N8 |
H9 |
108.684 |
C7 |
C4 |
H10 |
109.903 |
|
C7 |
C4 |
H12 |
108.335 |
C7 |
N8 |
H9 |
108.684 |
|
N8 |
C6 |
H14 |
112.188 |
N8 |
C6 |
H16 |
108.315 |
|
N8 |
C7 |
H15 |
112.188 |
N8 |
C7 |
H17 |
108.315 |
|
H10 |
C4 |
H12 |
107.898 |
H11 |
C5 |
H13 |
107.898 |
|
H14 |
C6 |
H16 |
107.875 |
H15 |
C7 |
H17 |
107.875 |
|
Electronic energy levels
Electronic state
Charges, Dipole, Quadrupole and Polarizability
Jump to
S1C1
Energy calculated at MP2/CEP-121G*
| hartrees |
Energy at 0K | -44.357875 |
Energy at 298.15K | -44.372200 |
Nuclear repulsion energy | 144.683026 |
The energy at 298.15K was derived from the energy at 0K
and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at MP2/CEP-121G*
Mode Number |
Symmetry |
Frequency (cm-1) |
Scaled Frequency (cm-1) |
IR Intensities (km mol-1) |
Raman Act (Å4/u) |
Dep P |
Dep U |
1 |
A' |
3488 |
3323 |
2.00 |
|
|
|
2 |
A' |
3128 |
2980 |
87.93 |
|
|
|
3 |
A' |
3117 |
2969 |
45.87 |
|
|
|
4 |
A' |
3105 |
2958 |
38.85 |
|
|
|
5 |
A' |
3059 |
2915 |
36.45 |
|
|
|
6 |
A' |
3051 |
2907 |
27.62 |
|
|
|
7 |
A' |
3045 |
2902 |
39.41 |
|
|
|
8 |
A' |
1541 |
1468 |
3.18 |
|
|
|
9 |
A' |
1524 |
1452 |
13.24 |
|
|
|
10 |
A' |
1519 |
1447 |
2.10 |
|
|
|
11 |
A' |
1413 |
1346 |
6.07 |
|
|
|
12 |
A' |
1400 |
1334 |
0.66 |
|
|
|
13 |
A' |
1352 |
1289 |
0.28 |
|
|
|
14 |
A' |
1297 |
1235 |
10.48 |
|
|
|
15 |
A' |
1214 |
1157 |
4.08 |
|
|
|
16 |
A' |
1061 |
1011 |
0.68 |
|
|
|
17 |
A' |
1027 |
979 |
10.43 |
|
|
|
18 |
A' |
935 |
891 |
18.77 |
|
|
|
19 |
A' |
873 |
832 |
54.62 |
|
|
|
20 |
A' |
826 |
787 |
0.09 |
|
|
|
21 |
A' |
801 |
764 |
77.51 |
|
|
|
22 |
A' |
552 |
526 |
2.62 |
|
|
|
23 |
A' |
427 |
407 |
0.90 |
|
|
|
24 |
A' |
392 |
374 |
6.25 |
|
|
|
25 |
A' |
240 |
229 |
5.49 |
|
|
|
26 |
A" |
3126 |
2978 |
26.09 |
|
|
|
27 |
A" |
3105 |
2959 |
69.65 |
|
|
|
28 |
A" |
3056 |
2912 |
31.93 |
|
|
|
29 |
A" |
3044 |
2901 |
38.61 |
|
|
|
30 |
A" |
1520 |
1448 |
0.14 |
|
|
|
31 |
A" |
1519 |
1447 |
8.01 |
|
|
|
32 |
A" |
1495 |
1425 |
10.78 |
|
|
|
33 |
A" |
1403 |
1337 |
0.13 |
|
|
|
34 |
A" |
1390 |
1324 |
1.97 |
|
|
|
35 |
A" |
1360 |
1296 |
1.46 |
|
|
|
36 |
A" |
1311 |
1249 |
0.62 |
|
|
|
37 |
A" |
1227 |
1169 |
12.67 |
|
|
|
38 |
A" |
1153 |
1098 |
16.70 |
|
|
|
39 |
A" |
1124 |
1071 |
1.60 |
|
|
|
40 |
A" |
1077 |
1026 |
4.79 |
|
|
|
41 |
A" |
954 |
909 |
4.86 |
|
|
|
42 |
A" |
890 |
848 |
0.12 |
|
|
|
43 |
A" |
807 |
769 |
0.01 |
|
|
|
44 |
A" |
444 |
423 |
0.88 |
|
|
|
45 |
A" |
239 |
228 |
0.10 |
|
|
|
Unscaled Zero Point Vibrational Energy (zpe) 35314.0 cm
-1
Scaled (by 0.9528) Zero Point Vibrational Energy (zpe) 33647.2 cm
-1
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.
Geometric Data calculated at MP2/CEP-121G*
Point Group is Cs
Cartesians (Å)
Atom |
x (Å) |
y (Å) |
z (Å) |
C1 |
0.656 |
1.324 |
0.000 |
H2 |
0.605 |
2.420 |
0.000 |
H3 |
1.723 |
1.052 |
0.000 |
C4 |
-0.008 |
0.749 |
1.265 |
C5 |
-0.008 |
0.749 |
-1.265 |
C6 |
-0.008 |
-0.791 |
-1.217 |
C7 |
-0.008 |
-0.791 |
1.217 |
N8 |
-0.628 |
-1.356 |
0.000 |
H9 |
-1.617 |
-1.093 |
0.000 |
H10 |
0.510 |
1.100 |
2.169 |
H11 |
0.510 |
1.100 |
-2.169 |
H12 |
-1.047 |
1.106 |
1.328 |
H13 |
-1.047 |
1.106 |
-1.328 |
H14 |
1.029 |
-1.157 |
-1.250 |
H15 |
1.029 |
-1.157 |
1.250 |
H16 |
-0.527 |
-1.210 |
-2.088 |
H17 |
-0.527 |
-1.210 |
2.088 |
Atom - Atom Distances (Å)
|
C1 |
H2 |
H3 |
C4 |
C5 |
C6 |
C7 |
N8 |
H9 |
H10 |
H11 |
H12 |
H13 |
H14 |
H15 |
H16 |
H17 |
C1 | | 1.0977 | 1.1005 | 1.5398 | 1.5398 | 2.5290 | 2.5290 | 2.9712 | 3.3181 | 2.1853 | 2.1853 | 2.1710 | 2.1710 | 2.8026 | 2.8026 | 3.4902 | 3.4902 |
H2 | 1.0977 | | 1.7673 | 2.1832 | 2.1832 | 3.4884 | 3.4884 | 3.9718 | 4.1566 | 2.5409 | 2.5409 | 2.4938 | 2.4938 | 3.8129 | 3.8129 | 4.3381 | 4.3381 | H3 | 1.1005 | 1.7673 | | 2.1648 | 2.1648 | 2.8059 | 2.8059 | 3.3646 | 3.9694 | 2.4854 | 2.4854 | 3.0724 | 3.0724 | 2.6310 | 2.6310 | 3.8130 | 3.8130 | C4 | 1.5398 | 2.1832 | 2.1648 | | 2.5299 | 2.9215 | 1.5413 | 2.5330 | 2.7541 | 1.0991 | 3.4903 | 1.1008 | 2.8159 | 3.3216 | 2.1701 | 3.9182 | 2.1879 | C5 | 1.5398 | 2.1832 | 2.1648 | 2.5299 | | 1.5413 | 2.9215 | 2.5330 | 2.7541 | 3.4903 | 1.0991 | 2.8159 | 1.1008 | 2.1701 | 3.3216 | 2.1879 | 3.9182 | C6 | 2.5290 | 3.4884 | 2.8059 | 2.9215 | 1.5413 | | 2.4348 | 1.4782 | 2.0406 | 3.9129 | 2.1792 | 3.3401 | 2.1659 | 1.0999 | 2.7011 | 1.0971 | 3.3722 | C7 | 2.5290 | 3.4884 | 2.8059 | 1.5413 | 2.9215 | 2.4348 | | 1.4782 | 2.0406 | 2.1792 | 3.9129 | 2.1659 | 3.3401 | 2.7011 | 1.0999 | 3.3722 | 1.0971 | N8 | 2.9712 | 3.9718 | 3.3646 | 2.5330 | 2.5330 | 1.4782 | 1.4782 | | 1.0243 | 3.4682 | 3.4682 | 2.8281 | 2.8281 | 2.0846 | 2.0846 | 2.0956 | 2.0956 | H9 | 3.3181 | 4.1566 | 3.9694 | 2.7541 | 2.7541 | 2.0406 | 2.0406 | 1.0243 | | 3.7467 | 3.7467 | 2.6308 | 2.6308 | 2.9274 | 2.9274 | 2.3585 | 2.3585 | H10 | 2.1853 | 2.5409 | 2.4854 | 1.0991 | 3.4903 | 3.9129 | 2.1792 | 3.4682 | 3.7467 | | 4.3378 | 1.7701 | 3.8277 | 4.1292 | 2.4914 | 4.9531 | 2.5334 | H11 | 2.1853 | 2.5409 | 2.4854 | 3.4903 | 1.0991 | 2.1792 | 3.9129 | 3.4682 | 3.7467 | 4.3378 | | 3.8277 | 1.7701 | 2.4914 | 4.1292 | 2.5334 | 4.9531 | H12 | 2.1710 | 2.4938 | 3.0724 | 1.1008 | 2.8159 | 3.3401 | 2.1659 | 2.8281 | 2.6308 | 1.7701 | 3.8277 | | 2.6553 | 4.0093 | 3.0720 | 4.1594 | 2.4923 | H13 | 2.1710 | 2.4938 | 3.0724 | 2.8159 | 1.1008 | 2.1659 | 3.3401 | 2.8281 | 2.6308 | 3.8277 | 1.7701 | 2.6553 | | 3.0720 | 4.0093 | 2.4923 | 4.1594 | H14 | 2.8026 | 3.8129 | 2.6310 | 3.3216 | 2.1701 | 1.0999 | 2.7011 | 2.0846 | 2.9274 | 4.1292 | 2.4914 | 4.0093 | 3.0720 | | 2.4996 | 1.7685 | 3.6833 | H15 | 2.8026 | 3.8129 | 2.6310 | 2.1701 | 3.3216 | 2.7011 | 1.0999 | 2.0846 | 2.9274 | 2.4914 | 4.1292 | 3.0720 | 4.0093 | 2.4996 | | 3.6833 | 1.7685 | H16 | 3.4902 | 4.3381 | 3.8130 | 3.9182 | 2.1879 | 1.0971 | 3.3722 | 2.0956 | 2.3585 | 4.9531 | 2.5334 | 4.1594 | 2.4923 | 1.7685 | 3.6833 | | 4.1762 | H17 | 3.4902 | 4.3381 | 3.8130 | 2.1879 | 3.9182 | 3.3722 | 1.0971 | 2.0956 | 2.3585 | 2.5334 | 4.9531 | 2.4923 | 4.1594 | 3.6833 | 1.7685 | 4.1762 | |
More geometry information
Calculated Bond Angles
atom1 |
atom2 |
atom3 |
angle |
|
atom1 |
atom2 |
atom3 |
angle |
C1 |
C4 |
C7 |
110.329 |
|
C1 |
C4 |
H10 |
110.702 |
C1 |
C4 |
H12 |
109.478 |
|
C1 |
C5 |
C6 |
110.329 |
C1 |
C5 |
H11 |
110.702 |
|
C1 |
C5 |
H13 |
109.478 |
H2 |
C1 |
H3 |
107.019 |
|
H2 |
C1 |
C4 |
110.616 |
H2 |
C1 |
C5 |
110.616 |
|
H3 |
C1 |
C4 |
109.015 |
H3 |
C1 |
C5 |
109.015 |
|
C4 |
C1 |
C5 |
110.470 |
C4 |
C7 |
N8 |
114.030 |
|
C4 |
C7 |
H15 |
109.365 |
C4 |
C7 |
H17 |
110.927 |
|
C5 |
C6 |
N8 |
114.030 |
C5 |
C6 |
H14 |
109.365 |
|
C5 |
C6 |
H16 |
110.927 |
C6 |
C5 |
H11 |
110.122 |
|
C6 |
C5 |
H13 |
108.985 |
C6 |
N8 |
C7 |
110.888 |
|
C6 |
N8 |
H9 |
107.887 |
C7 |
C4 |
H10 |
110.122 |
|
C7 |
C4 |
H12 |
108.985 |
C7 |
N8 |
H9 |
107.887 |
|
N8 |
C6 |
H14 |
107.004 |
N8 |
C6 |
H16 |
108.012 |
|
N8 |
C7 |
H15 |
107.004 |
N8 |
C7 |
H17 |
108.012 |
|
H10 |
C4 |
H12 |
107.153 |
H11 |
C5 |
H13 |
107.153 |
|
H14 |
C6 |
H16 |
107.216 |
H15 |
C7 |
H17 |
107.216 |
|
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability