Jump to
S1C2
Energy calculated at MP2=FULL/6-31G*
| hartrees |
Energy at 0K | -251.030878 |
Energy at 298.15K | -251.045390 |
Nuclear repulsion energy | 259.817656 |
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=FULL/6-31G*
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' |
3527 |
3323 |
0.27 |
|
|
|
2 |
A' |
3162 |
2980 |
57.89 |
|
|
|
3 |
A' |
3142 |
2961 |
23.67 |
|
|
|
4 |
A' |
3140 |
2958 |
28.98 |
|
|
|
5 |
A' |
3102 |
2923 |
12.62 |
|
|
|
6 |
A' |
3085 |
2906 |
24.99 |
|
|
|
7 |
A' |
2989 |
2816 |
117.78 |
|
|
|
8 |
A' |
1573 |
1482 |
3.02 |
|
|
|
9 |
A' |
1555 |
1465 |
6.00 |
|
|
|
10 |
A' |
1547 |
1457 |
7.34 |
|
|
|
11 |
A' |
1472 |
1387 |
3.74 |
|
|
|
12 |
A' |
1426 |
1344 |
0.03 |
|
|
|
13 |
A' |
1352 |
1273 |
0.18 |
|
|
|
14 |
A' |
1327 |
1250 |
3.23 |
|
|
|
15 |
A' |
1211 |
1141 |
6.10 |
|
|
|
16 |
A' |
1100 |
1037 |
8.92 |
|
|
|
17 |
A' |
1086 |
1023 |
6.59 |
|
|
|
18 |
A' |
946 |
891 |
3.27 |
|
|
|
19 |
A' |
908 |
855 |
17.67 |
|
|
|
20 |
A' |
859 |
810 |
1.68 |
|
|
|
21 |
A' |
816 |
769 |
79.75 |
|
|
|
22 |
A' |
563 |
531 |
19.63 |
|
|
|
23 |
A' |
440 |
414 |
7.79 |
|
|
|
24 |
A' |
422 |
398 |
1.41 |
|
|
|
25 |
A' |
259 |
244 |
1.71 |
|
|
|
26 |
A" |
3158 |
2976 |
9.59 |
|
|
|
27 |
A" |
3139 |
2958 |
62.07 |
|
|
|
28 |
A" |
3102 |
2923 |
29.08 |
|
|
|
29 |
A" |
2987 |
2814 |
22.63 |
|
|
|
30 |
A" |
1561 |
1470 |
0.19 |
|
|
|
31 |
A" |
1538 |
1449 |
1.71 |
|
|
|
32 |
A" |
1516 |
1428 |
3.59 |
|
|
|
33 |
A" |
1430 |
1347 |
0.20 |
|
|
|
34 |
A" |
1405 |
1324 |
18.93 |
|
|
|
35 |
A" |
1388 |
1308 |
14.93 |
|
|
|
36 |
A" |
1333 |
1256 |
2.26 |
|
|
|
37 |
A" |
1221 |
1150 |
7.68 |
|
|
|
38 |
A" |
1203 |
1134 |
6.49 |
|
|
|
39 |
A" |
1186 |
1117 |
6.80 |
|
|
|
40 |
A" |
1105 |
1041 |
2.77 |
|
|
|
41 |
A" |
1013 |
954 |
0.89 |
|
|
|
42 |
A" |
919 |
866 |
0.26 |
|
|
|
43 |
A" |
848 |
799 |
0.25 |
|
|
|
44 |
A" |
457 |
431 |
0.94 |
|
|
|
45 |
A" |
264 |
248 |
0.55 |
|
|
|
Unscaled Zero Point Vibrational Energy (zpe) 35888.6 cm
-1
Scaled (by 0.9422) Zero Point Vibrational Energy (zpe) 33814.3 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=FULL/6-31G*
Point Group is Cs
Cartesians (Å)
Atom |
x (Å) |
y (Å) |
z (Å) |
C1 |
0.644 |
1.317 |
0.000 |
H2 |
0.592 |
2.412 |
0.000 |
H3 |
1.710 |
1.051 |
0.000 |
C4 |
-0.012 |
0.746 |
1.255 |
C5 |
-0.012 |
0.746 |
-1.255 |
C6 |
-0.012 |
-0.776 |
-1.205 |
C7 |
-0.012 |
-0.776 |
1.205 |
N8 |
-0.715 |
-1.213 |
0.000 |
H9 |
-0.785 |
-2.231 |
0.000 |
H10 |
0.507 |
1.092 |
2.156 |
H11 |
0.507 |
1.092 |
-2.156 |
H12 |
-1.051 |
1.090 |
1.318 |
H13 |
-1.051 |
1.090 |
-1.318 |
H14 |
1.034 |
-1.136 |
-1.239 |
H15 |
1.034 |
-1.136 |
1.239 |
H16 |
-0.530 |
-1.189 |
-2.078 |
H17 |
-0.530 |
-1.189 |
2.078 |
Atom - Atom Distances (Å)
|
C1 |
H2 |
H3 |
C4 |
C5 |
C6 |
C7 |
N8 |
H9 |
H10 |
H11 |
H12 |
H13 |
H14 |
H15 |
H16 |
H17 |
C1 | | 1.0959 | 1.0986 | 1.5273 | 1.5273 | 2.5028 | 2.5028 | 2.8723 | 3.8246 | 2.1725 | 2.1725 | 2.1595 | 2.1595 | 2.7756 | 2.7756 | 3.4604 | 3.4604 |
H2 | 1.0959 | | 1.7610 | 2.1715 | 2.1715 | 3.4610 | 3.4610 | 3.8534 | 4.8422 | 2.5297 | 2.5297 | 2.4871 | 2.4871 | 3.7837 | 3.7837 | 4.3058 | 4.3058 | H3 | 1.0986 | 1.7610 | | 2.1531 | 2.1531 | 2.7853 | 2.7853 | 3.3181 | 4.1224 | 2.4695 | 2.4695 | 3.0600 | 3.0600 | 2.6030 | 2.6030 | 3.7884 | 3.7884 | C4 | 1.5273 | 2.1715 | 2.1531 | | 2.5105 | 2.8930 | 1.5229 | 2.4307 | 3.3216 | 1.0964 | 3.4684 | 1.0958 | 2.7964 | 3.2951 | 2.1536 | 3.8884 | 2.1653 | C5 | 1.5273 | 2.1715 | 2.1531 | 2.5105 | | 1.5229 | 2.8930 | 2.4307 | 3.3216 | 3.4684 | 1.0964 | 2.7964 | 1.0958 | 2.1536 | 3.2951 | 2.1653 | 3.8884 | C6 | 2.5028 | 3.4610 | 2.7853 | 2.8930 | 1.5229 | | 2.4100 | 1.4618 | 2.0407 | 3.8806 | 2.1598 | 3.3055 | 2.1382 | 1.1073 | 2.6826 | 1.0952 | 3.3486 | C7 | 2.5028 | 3.4610 | 2.7853 | 1.5229 | 2.8930 | 2.4100 | | 1.4618 | 2.0407 | 2.1598 | 3.8806 | 2.1382 | 3.3055 | 2.6826 | 1.1073 | 3.3486 | 1.0952 | N8 | 2.8723 | 3.8534 | 3.3181 | 2.4307 | 2.4307 | 1.4618 | 1.4618 | | 1.0198 | 3.3851 | 3.3851 | 2.6747 | 2.6747 | 2.1448 | 2.1448 | 2.0859 | 2.0859 | H9 | 3.8246 | 4.8422 | 4.1224 | 3.3216 | 3.3216 | 2.0407 | 2.0407 | 1.0198 | | 4.1665 | 4.1665 | 3.5823 | 3.5823 | 2.4577 | 2.4577 | 2.3380 | 2.3380 | H10 | 2.1725 | 2.5297 | 2.4695 | 1.0964 | 3.4684 | 3.8806 | 2.1598 | 3.3851 | 4.1665 | | 4.3129 | 1.7696 | 3.8082 | 4.0949 | 2.4665 | 4.9199 | 2.5069 | H11 | 2.1725 | 2.5297 | 2.4695 | 3.4684 | 1.0964 | 2.1598 | 3.8806 | 3.3851 | 4.1665 | 4.3129 | | 3.8082 | 1.7696 | 2.4665 | 4.0949 | 2.5069 | 4.9199 | H12 | 2.1595 | 2.4871 | 3.0600 | 1.0958 | 2.7964 | 3.3055 | 2.1382 | 2.6747 | 3.5823 | 1.7696 | 3.8082 | | 2.6366 | 3.9799 | 3.0509 | 4.1226 | 2.4577 | H13 | 2.1595 | 2.4871 | 3.0600 | 2.7964 | 1.0958 | 2.1382 | 3.3055 | 2.6747 | 3.5823 | 3.8082 | 1.7696 | 2.6366 | | 3.0509 | 3.9799 | 2.4577 | 4.1226 | H14 | 2.7756 | 3.7837 | 2.6030 | 3.2951 | 2.1536 | 1.1073 | 2.6826 | 2.1448 | 2.4577 | 4.0949 | 2.4665 | 3.9799 | 3.0509 | | 2.4773 | 1.7754 | 3.6668 | H15 | 2.7756 | 3.7837 | 2.6030 | 2.1536 | 3.2951 | 2.6826 | 1.1073 | 2.1448 | 2.4577 | 2.4665 | 4.0949 | 3.0509 | 3.9799 | 2.4773 | | 3.6668 | 1.7754 | H16 | 3.4604 | 4.3058 | 3.7884 | 3.8884 | 2.1653 | 1.0952 | 3.3486 | 2.0859 | 2.3380 | 4.9199 | 2.5069 | 4.1226 | 2.4577 | 1.7754 | 3.6668 | | 4.1551 | H17 | 3.4604 | 4.3058 | 3.7884 | 2.1653 | 3.8884 | 3.3486 | 1.0952 | 2.0859 | 2.3380 | 2.5069 | 4.9199 | 2.4577 | 4.1226 | 3.6668 | 1.7754 | 4.1551 | |
More geometry information
Calculated Bond Angles
atom1 |
atom2 |
atom3 |
angle |
|
atom1 |
atom2 |
atom3 |
angle |
C1 |
C4 |
C7 |
110.274 |
|
C1 |
C4 |
H10 |
110.721 |
C1 |
C4 |
H12 |
109.731 |
|
C1 |
C5 |
C6 |
110.274 |
C1 |
C5 |
H11 |
110.721 |
|
C1 |
C5 |
H13 |
109.731 |
H2 |
C1 |
H3 |
106.730 |
|
H2 |
C1 |
C4 |
110.666 |
H2 |
C1 |
C5 |
110.666 |
|
H3 |
C1 |
C4 |
109.068 |
H3 |
C1 |
C5 |
109.068 |
|
C4 |
C1 |
C5 |
110.542 |
C4 |
C7 |
N8 |
109.037 |
|
C4 |
C7 |
H15 |
108.905 |
C4 |
C7 |
H17 |
110.531 |
|
C5 |
C6 |
N8 |
109.037 |
C5 |
C6 |
H14 |
108.905 |
|
C5 |
C6 |
H16 |
110.531 |
C6 |
C5 |
H11 |
110.022 |
|
C6 |
C5 |
H13 |
108.370 |
C6 |
N8 |
C7 |
111.038 |
|
C6 |
N8 |
H9 |
109.341 |
C7 |
C4 |
H10 |
110.022 |
|
C7 |
C4 |
H12 |
108.370 |
C7 |
N8 |
H9 |
109.341 |
|
N8 |
C6 |
H14 |
112.461 |
N8 |
C6 |
H16 |
108.476 |
|
N8 |
C7 |
H15 |
112.461 |
N8 |
C7 |
H17 |
108.476 |
|
H10 |
C4 |
H12 |
107.654 |
H11 |
C5 |
H13 |
107.654 |
|
H14 |
C6 |
H16 |
107.427 |
H15 |
C7 |
H17 |
107.427 |
|
Electronic energy levels
Electronic state
Charges, Dipole, Quadrupole and Polarizability
Jump to
S1C1
Energy calculated at MP2=FULL/6-31G*
| hartrees |
Energy at 0K | -251.029924 |
Energy at 298.15K | -251.044389 |
Nuclear repulsion energy | 259.233841 |
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=FULL/6-31G*
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' |
3504 |
3301 |
0.40 |
|
|
|
2 |
A' |
3153 |
2971 |
69.88 |
|
|
|
3 |
A' |
3145 |
2963 |
30.25 |
|
|
|
4 |
A' |
3136 |
2954 |
25.89 |
|
|
|
5 |
A' |
3090 |
2912 |
37.22 |
|
|
|
6 |
A' |
3085 |
2907 |
20.05 |
|
|
|
7 |
A' |
3082 |
2904 |
22.84 |
|
|
|
8 |
A' |
1565 |
1475 |
2.79 |
|
|
|
9 |
A' |
1551 |
1461 |
12.76 |
|
|
|
10 |
A' |
1546 |
1457 |
1.64 |
|
|
|
11 |
A' |
1438 |
1355 |
4.04 |
|
|
|
12 |
A' |
1427 |
1345 |
0.90 |
|
|
|
13 |
A' |
1378 |
1298 |
0.21 |
|
|
|
14 |
A' |
1322 |
1246 |
10.15 |
|
|
|
15 |
A' |
1235 |
1164 |
4.29 |
|
|
|
16 |
A' |
1086 |
1023 |
0.64 |
|
|
|
17 |
A' |
1052 |
991 |
9.04 |
|
|
|
18 |
A' |
961 |
905 |
20.94 |
|
|
|
19 |
A' |
895 |
843 |
40.12 |
|
|
|
20 |
A' |
851 |
802 |
1.93 |
|
|
|
21 |
A' |
813 |
766 |
92.18 |
|
|
|
22 |
A' |
570 |
537 |
2.00 |
|
|
|
23 |
A' |
444 |
418 |
1.04 |
|
|
|
24 |
A' |
411 |
387 |
5.92 |
|
|
|
25 |
A' |
253 |
238 |
4.99 |
|
|
|
26 |
A" |
3151 |
2969 |
18.45 |
|
|
|
27 |
A" |
3136 |
2955 |
53.57 |
|
|
|
28 |
A" |
3088 |
2909 |
17.98 |
|
|
|
29 |
A" |
3080 |
2902 |
30.92 |
|
|
|
30 |
A" |
1545 |
1456 |
3.35 |
|
|
|
31 |
A" |
1545 |
1455 |
2.75 |
|
|
|
32 |
A" |
1517 |
1429 |
10.40 |
|
|
|
33 |
A" |
1427 |
1344 |
0.28 |
|
|
|
34 |
A" |
1414 |
1332 |
1.78 |
|
|
|
35 |
A" |
1387 |
1307 |
1.31 |
|
|
|
36 |
A" |
1338 |
1260 |
0.66 |
|
|
|
37 |
A" |
1255 |
1182 |
12.66 |
|
|
|
38 |
A" |
1176 |
1108 |
15.06 |
|
|
|
39 |
A" |
1150 |
1084 |
2.01 |
|
|
|
40 |
A" |
1104 |
1040 |
3.86 |
|
|
|
41 |
A" |
980 |
924 |
5.74 |
|
|
|
42 |
A" |
911 |
859 |
0.03 |
|
|
|
43 |
A" |
835 |
786 |
0.06 |
|
|
|
44 |
A" |
461 |
435 |
0.98 |
|
|
|
45 |
A" |
251 |
236 |
0.03 |
|
|
|
Unscaled Zero Point Vibrational Energy (zpe) 35870.6 cm
-1
Scaled (by 0.9422) Zero Point Vibrational Energy (zpe) 33797.3 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=FULL/6-31G*
Point Group is Cs
Cartesians (Å)
Atom |
x (Å) |
y (Å) |
z (Å) |
C1 |
0.649 |
1.314 |
0.000 |
H2 |
0.599 |
2.409 |
0.000 |
H3 |
1.715 |
1.048 |
0.000 |
C4 |
-0.008 |
0.743 |
1.255 |
C5 |
-0.008 |
0.743 |
-1.255 |
C6 |
-0.008 |
-0.785 |
-1.208 |
C7 |
-0.008 |
-0.785 |
1.208 |
N8 |
-0.618 |
-1.344 |
0.000 |
H9 |
-1.612 |
-1.106 |
0.000 |
H10 |
0.505 |
1.096 |
2.159 |
H11 |
0.505 |
1.096 |
-2.159 |
H12 |
-1.046 |
1.099 |
1.319 |
H13 |
-1.046 |
1.099 |
-1.319 |
H14 |
1.027 |
-1.150 |
-1.246 |
H15 |
1.027 |
-1.150 |
1.246 |
H16 |
-0.525 |
-1.204 |
-2.079 |
H17 |
-0.525 |
-1.204 |
2.079 |
Atom - Atom Distances (Å)
|
C1 |
H2 |
H3 |
C4 |
C5 |
C6 |
C7 |
N8 |
H9 |
H10 |
H11 |
H12 |
H13 |
H14 |
H15 |
H16 |
H17 |
C1 | | 1.0959 | 1.0984 | 1.5277 | 1.5277 | 2.5100 | 2.5100 | 2.9451 | 3.3120 | 2.1745 | 2.1745 | 2.1580 | 2.1580 | 2.7872 | 2.7872 | 3.4701 | 3.4701 |
H2 | 1.0959 | | 1.7603 | 2.1723 | 2.1723 | 3.4686 | 3.4686 | 3.9456 | 4.1523 | 2.5284 | 2.5284 | 2.4817 | 2.4817 | 3.7952 | 3.7952 | 4.3172 | 4.3172 | H3 | 1.0984 | 1.7603 | | 2.1533 | 2.1533 | 2.7907 | 2.7907 | 3.3413 | 3.9628 | 2.4751 | 2.4751 | 3.0595 | 3.0595 | 2.6185 | 2.6185 | 3.7959 | 3.7959 | C4 | 1.5277 | 2.1723 | 2.1533 | | 2.5105 | 2.8992 | 1.5290 | 2.5110 | 2.7508 | 1.0971 | 3.4702 | 1.0986 | 2.7977 | 3.3034 | 2.1575 | 3.8953 | 2.1764 | C5 | 1.5277 | 2.1723 | 2.1533 | 2.5105 | | 1.5290 | 2.8992 | 2.5110 | 2.7508 | 3.4702 | 1.0971 | 2.7977 | 1.0986 | 2.1575 | 3.3034 | 2.1764 | 3.8953 | C6 | 2.5100 | 3.4686 | 2.7907 | 2.8992 | 1.5290 | | 2.4168 | 1.4646 | 2.0334 | 3.8908 | 2.1690 | 3.3183 | 2.1535 | 1.0980 | 2.6888 | 1.0955 | 3.3536 | C7 | 2.5100 | 3.4686 | 2.7907 | 1.5290 | 2.8992 | 2.4168 | | 1.4646 | 2.0334 | 2.1690 | 3.8908 | 2.1535 | 3.3183 | 2.6888 | 1.0980 | 3.3536 | 1.0955 | N8 | 2.9451 | 3.9456 | 3.3413 | 2.5110 | 2.5110 | 1.4646 | 1.4646 | | 1.0217 | 3.4460 | 3.4460 | 2.8088 | 2.8088 | 2.0729 | 2.0729 | 2.0853 | 2.0853 | H9 | 3.3120 | 4.1523 | 3.9628 | 2.7508 | 2.7508 | 2.0334 | 2.0334 | 1.0217 | | 3.7400 | 3.7400 | 2.6306 | 2.6306 | 2.9184 | 2.9184 | 2.3474 | 2.3474 | H10 | 2.1745 | 2.5284 | 2.4751 | 1.0971 | 3.4702 | 3.8908 | 2.1690 | 3.4460 | 3.7400 | | 4.3173 | 1.7633 | 3.8071 | 4.1122 | 2.4798 | 4.9300 | 2.5214 | H11 | 2.1745 | 2.5284 | 2.4751 | 3.4702 | 1.0971 | 2.1690 | 3.8908 | 3.4460 | 3.7400 | 4.3173 | | 3.8071 | 1.7633 | 2.4798 | 4.1122 | 2.5214 | 4.9300 | H12 | 2.1580 | 2.4817 | 3.0595 | 1.0986 | 2.7977 | 3.3183 | 2.1535 | 2.8088 | 2.6306 | 1.7633 | 3.8071 | | 2.6371 | 3.9912 | 3.0589 | 4.1369 | 2.4802 | H13 | 2.1580 | 2.4817 | 3.0595 | 2.7977 | 1.0986 | 2.1535 | 3.3183 | 2.8088 | 2.6306 | 3.8071 | 1.7633 | 2.6371 | | 3.0589 | 3.9912 | 2.4802 | 4.1369 | H14 | 2.7872 | 3.7952 | 2.6185 | 3.3034 | 2.1575 | 1.0980 | 2.6888 | 2.0729 | 2.9184 | 4.1122 | 2.4798 | 3.9912 | 3.0589 | | 2.4926 | 1.7619 | 3.6696 | H15 | 2.7872 | 3.7952 | 2.6185 | 2.1575 | 3.3034 | 2.6888 | 1.0980 | 2.0729 | 2.9184 | 2.4798 | 4.1122 | 3.0589 | 3.9912 | 2.4926 | | 3.6696 | 1.7619 | H16 | 3.4701 | 4.3172 | 3.7959 | 3.8953 | 2.1764 | 1.0955 | 3.3536 | 2.0853 | 2.3474 | 4.9300 | 2.5214 | 4.1369 | 2.4802 | 1.7619 | 3.6696 | | 4.1571 | H17 | 3.4701 | 4.3172 | 3.7959 | 2.1764 | 3.8953 | 3.3536 | 1.0955 | 2.0853 | 2.3474 | 2.5214 | 4.9300 | 2.4802 | 4.1369 | 3.6696 | 1.7619 | 4.1571 | |
More geometry information
Calculated Bond Angles
atom1 |
atom2 |
atom3 |
angle |
|
atom1 |
atom2 |
atom3 |
angle |
C1 |
C4 |
C7 |
110.399 |
|
C1 |
C4 |
H10 |
110.811 |
C1 |
C4 |
H12 |
109.424 |
|
C1 |
C5 |
C6 |
110.399 |
C1 |
C5 |
H11 |
110.811 |
|
C1 |
C5 |
H13 |
109.424 |
H2 |
C1 |
H3 |
106.683 |
|
H2 |
C1 |
C4 |
110.712 |
H2 |
C1 |
C5 |
110.712 |
|
H3 |
C1 |
C4 |
109.063 |
H3 |
C1 |
C5 |
109.063 |
|
C4 |
C1 |
C5 |
110.505 |
C4 |
C7 |
N8 |
114.007 |
|
C4 |
C7 |
H15 |
109.332 |
C4 |
C7 |
H17 |
110.973 |
|
C5 |
C6 |
N8 |
114.007 |
C5 |
C6 |
H14 |
109.332 |
|
C5 |
C6 |
H16 |
110.973 |
C6 |
C5 |
H11 |
110.287 |
|
C6 |
C5 |
H13 |
108.984 |
C6 |
N8 |
C7 |
111.195 |
|
C6 |
N8 |
H9 |
108.425 |
C7 |
C4 |
H10 |
110.287 |
|
C7 |
C4 |
H12 |
108.984 |
C7 |
N8 |
H9 |
108.425 |
|
N8 |
C6 |
H14 |
107.112 |
N8 |
C6 |
H16 |
108.226 |
|
N8 |
C7 |
H15 |
107.112 |
N8 |
C7 |
H17 |
108.226 |
|
H10 |
C4 |
H12 |
106.849 |
H11 |
C5 |
H13 |
106.849 |
|
H14 |
C6 |
H16 |
106.884 |
H15 |
C7 |
H17 |
106.884 |
|
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability