Characters of representations for molecular motions
Motion |
E |
2C8 |
2C4 |
2(C8)3 |
C2 |
4C'2 |
4C''2 |
i |
2(S8)3 |
2S4 |
2S8 |
σh |
4σv |
4σd |
Cartesian 3N |
99 |
2.414 |
1 |
-0.414 |
-1 |
-1 |
-1 |
-3 |
-2.414 |
-1 |
0.414 |
1 |
9 |
1 |
Translation (x,y,z) |
3 |
2.414 |
1 |
-0.414 |
-1 |
-1 |
-1 |
-3 |
-2.414 |
-1 |
0.414 |
1 |
1 |
1 |
Rotation (Rx,Ry,Rz) |
3 |
2.414 |
1 |
-0.414 |
-1 |
-1 |
-1 |
3 |
2.414 |
1 |
-0.414 |
-1 |
-1 |
-1 |
Vibration |
93 |
-2.414 |
-1 |
0.414 |
1 |
1 |
1 |
-3 |
-2.414 |
-1 |
0.414 |
1 |
9 |
1 |
Decomposition to irreducible representations
Motion |
A1g |
A2g |
B1g |
B2g |
E1g |
E2g |
E3g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
E3u |
Total |
Cartesian 3N |
4 |
2 |
4 |
2 |
6 |
6 |
6 |
2 |
5 |
2 |
4 |
7 |
6 |
6 |
62 |
Translation (x,y,z) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
2 |
Rotation (Rx,Ry,Rz) |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
2 |
Vibration |
4 |
1 |
4 |
2 |
5 |
6 |
6 |
2 |
4 |
2 |
4 |
6 |
6 |
6 |
58 |
Molecular parameter
Number of Atoms (N) |
33
|
Number of internal coordinates |
93
|
Number of independant internal coordinates |
4
|
Number of vibrational modes |
58
|
Force field analysis
Allowed / forbidden vibronational transitions
Operator |
A1g |
A2g |
B1g |
B2g |
E1g |
E2g |
E3g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
E3u |
Total |
Linear (IR) |
4 |
1 |
4 |
2 |
5 |
6 |
6 |
2 |
4 |
2 |
4 |
6 |
6 |
6 |
10 / 48 |
Quadratic (Raman) |
4 |
1 |
4 |
2 |
5 |
6 |
6 |
2 |
4 |
2 |
4 |
6 |
6 |
6 |
15 / 43 |
IR + Raman |
- - - - |
1 |
4 |
2 |
- - - - |
- - - - |
6 |
2 |
- - - - |
2 |
4 |
- - - - |
6 |
6 |
0* / 33 |
* Parity Mutual Exclusion Principle
Characters of force fields
(Symmetric powers of vibration representation)
Force field |
E |
2C8 |
2C4 |
2(C8)3 |
C2 |
4C'2 |
4C''2 |
i |
2(S8)3 |
2S4 |
2S8 |
σh |
4σv |
4σd |
linear |
93 |
-2.414 |
-1 |
0.414 |
1 |
1 |
1 |
-3 |
-2.414 |
-1 |
0.414 |
1 |
9 |
1 |
quadratic |
4.371 |
2.414 |
1 |
-0.414 |
47 |
47 |
47 |
51 |
2.414 |
1 |
-0.414 |
47 |
87 |
47 |
cubic |
138.415 |
-1.000 |
-1 |
-1.000 |
47 |
47 |
47 |
-145 |
-1.000 |
-1 |
-1.000 |
47 |
543 |
47 |
quartic |
3.321.960 |
-0.000 |
24 |
-0.000 |
1.128 |
1.128 |
1.128 |
1.320 |
0.000 |
24 |
0.000 |
1.128 |
3.288 |
1.128 |
quintic |
64.446.024 |
0.000 |
-24 |
0.000 |
1.128 |
1.128 |
1.128 |
-3.576 |
-0.000 |
-24 |
0.000 |
1.128 |
16.344 |
1.128 |
sextic |
1.052.618.392 |
-0.000 |
24 |
-0.000 |
18.424 |
18.424 |
18.424 |
23.128 |
0.000 |
24 |
0.000 |
18.424 |
77.672 |
18.424 |
Decomposition to irreducible representations
Column with number of nonvanshing force constants highlighted
Force field |
A1g |
A2g |
B1g |
B2g |
E1g |
E2g |
E3g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
E3u |
linear |
4 |
1 |
4 |
2 |
5 |
6 |
6 |
2 |
4 |
2 |
4 |
6 |
6 |
6 |
quadratic |
170 |
113 |
146 |
136 |
271 |
282 |
270 |
130 |
140 |
130 |
140 |
270 |
270 |
270 |
cubic |
4.409 |
4.238 |
4.386 |
4.262 |
8.636 |
8.648 |
8.636 |
4.268 |
4.392 |
4.268 |
4.392 |
8.660 |
8.660 |
8.660 |
quartic |
104.760 |
103.092 |
104.196 |
103.656 |
207.564 |
207.840 |
207.564 |
103.500 |
104.040 |
103.500 |
104.040 |
207.540 |
207.540 |
207.540 |
quintic |
2.016.360 |
2.011.428 |
2.015.796 |
2.011.992 |
4.027.512 |
4.027.800 |
4.027.512 |
2.012.148 |
2.015.952 |
2.012.148 |
2.015.952 |
4.028.100 |
4.028.100 |
4.028.100 |
sextic |
32.912.820 |
32.879.584 |
32.903.608 |
32.888.796 |
65.787.792 |
65.792.392 |
65.787.792 |
32.886.196 |
32.901.008 |
32.886.196 |
32.901.008 |
65.787.204 |
65.787.204 |
65.787.204 |
Further Reading
- J.K.G. Watson, J. Mol. Spec. 41 229 (1972)
The Numbers of Structural Parameters and Potential Constants of Molecules
- X.F. Zhou, P. Pulay. J. Comp. Chem. 10 No. 7, 935-938 (1989)
Characters for Symmetric and Antisymmetric Higher Powers of Representations:
Application to the Number of Anharmonic Force Constants in Symmetrical Molecules
- F. Varga, L. Nemes, J.K.G. Watson. J. Phys. B: At. Mol. Opt. Phys. 10 No. 7, 5043-5048 (1996)
The number of anharmonic potential constants of the fullerenes C60 and C70
Contributions to nonvanishing force field constants
pos(X) : Position of irreducible representation (irrep) X in character table of D
8h
Subtotal: <Number of nonvanishing force constants in subsection> / <number of nonzero irrep combinations in subsection> / <number of irrep combinations in subsection>
Total: <Number of nonvanishing force constants in force field> / <number of nonzero irrep combinations in force field> / <number of irrep combinations in force field>
Contributions to nonvanishing quadratic force field constants
Irrep combinations (i,i) with indices: pos(A1g) ≤ i ≤ pos(E3u) |
..10. |
A1gA1g. | ..1. |
A2gA2g. | ..10. |
B1gB1g. | ..3. |
B2gB2g. | ..15. |
E1gE1g. | ..21. |
E2gE2g. | ..21. |
E3gE3g. | ..3. |
A1uA1u. | ..10. |
A2uA2u. | ..3. |
B1uB1u. |
..10. |
B2uB2u. | ..21. |
E1uE1u. | ..21. |
E2uE2u. | ..21. |
E3uE3u. | | |
| |
| |
| |
| |
| |
Subtotal: 170 / 14 / 14 |
Irrep combinations (i,j) with indices: pos(A1g) ≤ i ≤ j ≤ pos(E3u) |
Subtotal: 0 / 0 / 91 |
Total: 170 / 14 / 105 |
Contributions to nonvanishing cubic force field constants
Irrep combinations (i,i,i) with indices: pos(A1g) ≤ i ≤ pos(E3u) |
..20. |
A1gA1gA1g. | | |
| |
| |
| |
| |
| |
| |
| |
| |
Subtotal: 20 / 1 / 14 |
Irrep combinations (i,i,j) (i,j,j) with indices: pos(A1g) ≤ i ≤ j ≤ pos(E3u) |
..90. |
E1gE1gE2g. | ..4. |
A1gA2gA2g. | ..40. |
A1gB1gB1g. | ..12. |
A1gB2gB2g. | ..60. |
A1gE1gE1g. | ..84. |
A1gE2gE2g. | ..84. |
A1gE3gE3g. | ..12. |
A1gA1uA1u. | ..40. |
A1gA2uA2u. | ..12. |
A1gB1uB1u. |
..40. |
A1gB2uB2u. | ..84. |
A1gE1uE1u. | ..84. |
A1gE2uE2u. | ..84. |
A1gE3uE3u. | ..10. |
A2gE1gE1g. | ..15. |
A2gE2gE2g. | ..15. |
A2gE3gE3g. | ..15. |
A2gE1uE1u. | ..15. |
A2gE2uE2u. | ..15. |
A2gE3uE3u. |
..84. |
B1gE2gE2g. | ..84. |
B1gE2uE2u. | ..42. |
B2gE2gE2g. | ..42. |
B2gE2uE2u. | ..126. |
E2gE3gE3g. | ..126. |
E2gE1uE1u. | ..126. |
E2gE3uE3u. | | |
| |
| |
Subtotal: 1.445 / 27 / 182 |
Irrep combinations (i,j,k) with indices: pos(A1g) ≤ i ≤ j ≤ k ≤ pos(E3u) |
..8. |
A2gB1gB2g. | ..8. |
A2gA1uA2u. | ..8. |
A2gB1uB2u. | ..120. |
B1gE1gE3g. | ..16. |
B1gA1uB1u. | ..64. |
B1gA2uB2u. | ..144. |
B1gE1uE3u. | ..60. |
B2gE1gE3g. | ..16. |
B2gA1uB2u. | ..16. |
B2gA2uB1u. |
..72. |
B2gE1uE3u. | ..180. |
E1gE2gE3g. | ..60. |
E1gA1uE1u. | ..120. |
E1gA2uE1u. | ..60. |
E1gB1uE3u. | ..120. |
E1gB2uE3u. | ..180. |
E1gE1uE2u. | ..180. |
E1gE2uE3u. | ..72. |
E2gA1uE2u. | ..144. |
E2gA2uE2u. |
..72. |
E2gB1uE2u. | ..144. |
E2gB2uE2u. | ..216. |
E2gE1uE3u. | ..72. |
E3gA1uE3u. | ..144. |
E3gA2uE3u. | ..72. |
E3gB1uE1u. | ..144. |
E3gB2uE1u. | ..216. |
E3gE1uE2u. | ..216. |
E3gE2uE3u. | | |
Subtotal: 2.944 / 29 / 364 |
Total: 4.409 / 57 / 560 |
Contributions to nonvanishing quartic force field constants
Irrep combinations (i,i,i,i) with indices: pos(A1g) ≤ i ≤ pos(E3u) |
..35. |
A1gA1gA1gA1g. | ..1. |
A2gA2gA2gA2g. | ..35. |
B1gB1gB1gB1g. | ..5. |
B2gB2gB2gB2g. | ..120. |
E1gE1gE1gE1g. | ..357. |
E2gE2gE2gE2g. | ..231. |
E3gE3gE3gE3g. | ..5. |
A1uA1uA1uA1u. | ..35. |
A2uA2uA2uA2u. | ..5. |
B1uB1uB1uB1u. |
..35. |
B2uB2uB2uB2u. | ..231. |
E1uE1uE1uE1u. | ..357. |
E2uE2uE2uE2u. | ..231. |
E3uE3uE3uE3u. | | |
| |
| |
| |
| |
| |
Subtotal: 1.683 / 14 / 14 |
Irrep combinations (i,i,i,j) (i,j,j,j) with indices: pos(A1g) ≤ i ≤ j ≤ pos(E3u) |
..210. |
E1gE1gE1gE3g. | ..336. |
E1uE1uE1uE3u. | ..280. |
E1gE3gE3gE3g. | ..336. |
E1uE3uE3uE3u. | | |
| |
| |
| |
| |
| |
Subtotal: 1.162 / 4 / 182 |
Irrep combinations (i,i,j,j) with indices: pos(A1g) ≤ i ≤ j ≤ pos(E3u) |
..10. |
A1gA1gA2gA2g. | ..100. |
A1gA1gB1gB1g. | ..30. |
A1gA1gB2gB2g. | ..150. |
A1gA1gE1gE1g. | ..210. |
A1gA1gE2gE2g. | ..210. |
A1gA1gE3gE3g. | ..30. |
A1gA1gA1uA1u. | ..100. |
A1gA1gA2uA2u. | ..30. |
A1gA1gB1uB1u. | ..100. |
A1gA1gB2uB2u. |
..210. |
A1gA1gE1uE1u. | ..210. |
A1gA1gE2uE2u. | ..210. |
A1gA1gE3uE3u. | ..10. |
A2gA2gB1gB1g. | ..3. |
A2gA2gB2gB2g. | ..15. |
A2gA2gE1gE1g. | ..21. |
A2gA2gE2gE2g. | ..21. |
A2gA2gE3gE3g. | ..3. |
A2gA2gA1uA1u. | ..10. |
A2gA2gA2uA2u. |
..3. |
A2gA2gB1uB1u. | ..10. |
A2gA2gB2uB2u. | ..21. |
A2gA2gE1uE1u. | ..21. |
A2gA2gE2uE2u. | ..21. |
A2gA2gE3uE3u. | ..30. |
B1gB1gB2gB2g. | ..150. |
B1gB1gE1gE1g. | ..210. |
B1gB1gE2gE2g. | ..210. |
B1gB1gE3gE3g. | ..30. |
B1gB1gA1uA1u. |
..100. |
B1gB1gA2uA2u. | ..30. |
B1gB1gB1uB1u. | ..100. |
B1gB1gB2uB2u. | ..210. |
B1gB1gE1uE1u. | ..210. |
B1gB1gE2uE2u. | ..210. |
B1gB1gE3uE3u. | ..45. |
B2gB2gE1gE1g. | ..63. |
B2gB2gE2gE2g. | ..63. |
B2gB2gE3gE3g. | ..9. |
B2gB2gA1uA1u. |
..30. |
B2gB2gA2uA2u. | ..9. |
B2gB2gB1uB1u. | ..30. |
B2gB2gB2uB2u. | ..63. |
B2gB2gE1uE1u. | ..63. |
B2gB2gE2uE2u. | ..63. |
B2gB2gE3uE3u. | ..465. |
E1gE1gE2gE2g. | ..780. |
E1gE1gE3gE3g. | ..45. |
E1gE1gA1uA1u. | ..150. |
E1gE1gA2uA2u. |
..45. |
E1gE1gB1uB1u. | ..150. |
E1gE1gB2uB2u. | ..780. |
E1gE1gE1uE1u. | ..465. |
E1gE1gE2uE2u. | ..780. |
E1gE1gE3uE3u. | ..666. |
E2gE2gE3gE3g. | ..63. |
E2gE2gA1uA1u. | ..210. |
E2gE2gA2uA2u. | ..63. |
E2gE2gB1uB1u. | ..210. |
E2gE2gB2uB2u. |
..666. |
E2gE2gE1uE1u. | ..1.548. |
E2gE2gE2uE2u. | ..666. |
E2gE2gE3uE3u. | ..63. |
E3gE3gA1uA1u. | ..210. |
E3gE3gA2uA2u. | ..63. |
E3gE3gB1uB1u. | ..210. |
E3gE3gB2uB2u. | ..1.107. |
E3gE3gE1uE1u. | ..666. |
E3gE3gE2uE2u. | ..1.107. |
E3gE3gE3uE3u. |
..30. |
A1uA1uA2uA2u. | ..9. |
A1uA1uB1uB1u. | ..30. |
A1uA1uB2uB2u. | ..63. |
A1uA1uE1uE1u. | ..63. |
A1uA1uE2uE2u. | ..63. |
A1uA1uE3uE3u. | ..30. |
A2uA2uB1uB1u. | ..100. |
A2uA2uB2uB2u. | ..210. |
A2uA2uE1uE1u. | ..210. |
A2uA2uE2uE2u. |
..210. |
A2uA2uE3uE3u. | ..30. |
B1uB1uB2uB2u. | ..63. |
B1uB1uE1uE1u. | ..63. |
B1uB1uE2uE2u. | ..63. |
B1uB1uE3uE3u. | ..210. |
B2uB2uE1uE1u. | ..210. |
B2uB2uE2uE2u. | ..210. |
B2uB2uE3uE3u. | ..666. |
E1uE1uE2uE2u. | ..1.107. |
E1uE1uE3uE3u. |
..666. |
E2uE2uE3uE3u. | | |
| |
| |
| |
| |
| |
| |
| |
| |
Subtotal: 19.171 / 91 / 91 |
Irrep combinations (i,i,j,k) (i,j,j,k) (i,j,k,k) with indices: pos(A1g) ≤ i ≤ j ≤ k ≤ pos(E3u) |
..80. |
E1gE1gA1uA2u. | ..180. |
E1gE1gA1uE2u. | ..360. |
E1gE1gA2uE2u. | ..80. |
E1gE1gB1uB2u. | ..180. |
E1gE1gB1uE2u. | ..360. |
E1gE1gB2uE2u. | ..540. |
E1gE1gE1uE3u. | ..120. |
E2gE2gA1uA2u. | ..84. |
E2gE2gA1uB1u. | ..168. |
E2gE2gA1uB2u. |
..168. |
E2gE2gA2uB1u. | ..336. |
E2gE2gA2uB2u. | ..120. |
E2gE2gB1uB2u. | ..1.512. |
E2gE2gE1uE3u. | ..120. |
E3gE3gA1uA2u. | ..252. |
E3gE3gA1uE2u. | ..504. |
E3gE3gA2uE2u. | ..120. |
E3gE3gB1uB2u. | ..252. |
E3gE3gB1uE2u. | ..504. |
E3gE3gB2uE2u. |
..756. |
E3gE3gE1uE3u. | ..360. |
A1gE1gE1gE2g. | ..90. |
A2gE1gE1gE2g. | ..360. |
B1gE1gE1gE2g. | ..180. |
B2gE1gE1gE2g. | ..1.260. |
E1gE2gE2gE3g. | ..252. |
A1uE1uE1uE2u. | ..504. |
A2uE1uE1uE2u. | ..252. |
B1uE1uE1uE2u. | ..504. |
B2uE1uE1uE2u. |
..1.512. |
E1uE2uE2uE3u. | ..40. |
A1gA2gE1gE1g. | ..60. |
A1gA2gE2gE2g. | ..60. |
A1gA2gE3gE3g. | ..60. |
A1gA2gE1uE1u. | ..60. |
A1gA2gE2uE2u. | ..60. |
A1gA2gE3uE3u. | ..336. |
A1gB1gE2gE2g. | ..336. |
A1gB1gE2uE2u. | ..168. |
A1gB2gE2gE2g. |
..168. |
A1gB2gE2uE2u. | ..504. |
A1gE2gE3gE3g. | ..504. |
A1gE2gE1uE1u. | ..504. |
A1gE2gE3uE3u. | ..84. |
A2gB1gE2gE2g. | ..84. |
A2gB1gE2uE2u. | ..42. |
A2gB2gE2gE2g. | ..42. |
A2gB2gE2uE2u. | ..126. |
A2gE2gE3gE3g. | ..126. |
A2gE2gE1uE1u. |
..126. |
A2gE2gE3uE3u. | ..80. |
B1gB2gE1gE1g. | ..120. |
B1gB2gE2gE2g. | ..120. |
B1gB2gE3gE3g. | ..120. |
B1gB2gE1uE1u. | ..120. |
B1gB2gE2uE2u. | ..120. |
B1gB2gE3uE3u. | ..504. |
B1gE2gE3gE3g. | ..504. |
B1gE2gE1uE1u. | ..504. |
B1gE2gE3uE3u. |
..252. |
B2gE2gE3gE3g. | ..252. |
B2gE2gE1uE1u. | ..252. |
B2gE2gE3uE3u. | ..630. |
E1gE3gE1uE1u. | ..1.260. |
E1gE3gE2uE2u. | ..630. |
E1gE3gE3uE3u. | ..120. |
A1uA2uE1uE1u. | ..120. |
A1uA2uE2uE2u. | ..120. |
A1uA2uE3uE3u. | ..84. |
A1uB1uE2uE2u. |
..168. |
A1uB2uE2uE2u. | ..252. |
A1uE2uE3uE3u. | ..168. |
A2uB1uE2uE2u. | ..336. |
A2uB2uE2uE2u. | ..504. |
A2uE2uE3uE3u. | ..120. |
B1uB2uE1uE1u. | ..120. |
B1uB2uE2uE2u. | ..120. |
B1uB2uE3uE3u. | ..252. |
B1uE2uE3uE3u. | ..504. |
B2uE2uE3uE3u. |
Subtotal: 24.016 / 80 / 1.092 |
Irrep combinations (i,j,k,l) with indices: pos(A1g) ≤ i ≤ j ≤ k ≤ l ≤ pos(E3u) |
..32. |
A1gA2gB1gB2g. | ..32. |
A1gA2gA1uA2u. | ..32. |
A1gA2gB1uB2u. | ..480. |
A1gB1gE1gE3g. | ..64. |
A1gB1gA1uB1u. | ..256. |
A1gB1gA2uB2u. | ..576. |
A1gB1gE1uE3u. | ..240. |
A1gB2gE1gE3g. | ..64. |
A1gB2gA1uB2u. | ..64. |
A1gB2gA2uB1u. |
..288. |
A1gB2gE1uE3u. | ..720. |
A1gE1gE2gE3g. | ..240. |
A1gE1gA1uE1u. | ..480. |
A1gE1gA2uE1u. | ..240. |
A1gE1gB1uE3u. | ..480. |
A1gE1gB2uE3u. | ..720. |
A1gE1gE1uE2u. | ..720. |
A1gE1gE2uE3u. | ..288. |
A1gE2gA1uE2u. | ..576. |
A1gE2gA2uE2u. |
..288. |
A1gE2gB1uE2u. | ..576. |
A1gE2gB2uE2u. | ..864. |
A1gE2gE1uE3u. | ..288. |
A1gE3gA1uE3u. | ..576. |
A1gE3gA2uE3u. | ..288. |
A1gE3gB1uE1u. | ..576. |
A1gE3gB2uE1u. | ..864. |
A1gE3gE1uE2u. | ..864. |
A1gE3gE2uE3u. | ..120. |
A2gB1gE1gE3g. |
..32. |
A2gB1gA1uB2u. | ..32. |
A2gB1gA2uB1u. | ..144. |
A2gB1gE1uE3u. | ..60. |
A2gB2gE1gE3g. | ..8. |
A2gB2gA1uB1u. | ..32. |
A2gB2gA2uB2u. | ..72. |
A2gB2gE1uE3u. | ..180. |
A2gE1gE2gE3g. | ..60. |
A2gE1gA1uE1u. | ..120. |
A2gE1gA2uE1u. |
..60. |
A2gE1gB1uE3u. | ..120. |
A2gE1gB2uE3u. | ..180. |
A2gE1gE1uE2u. | ..180. |
A2gE1gE2uE3u. | ..72. |
A2gE2gA1uE2u. | ..144. |
A2gE2gA2uE2u. | ..72. |
A2gE2gB1uE2u. | ..144. |
A2gE2gB2uE2u. | ..216. |
A2gE2gE1uE3u. | ..72. |
A2gE3gA1uE3u. |
..144. |
A2gE3gA2uE3u. | ..72. |
A2gE3gB1uE1u. | ..144. |
A2gE3gB2uE1u. | ..216. |
A2gE3gE1uE2u. | ..216. |
A2gE3gE2uE3u. | ..64. |
B1gB2gA1uA2u. | ..64. |
B1gB2gB1uB2u. | ..720. |
B1gE1gE2gE3g. | ..240. |
B1gE1gA1uE3u. | ..480. |
B1gE1gA2uE3u. |
..240. |
B1gE1gB1uE1u. | ..480. |
B1gE1gB2uE1u. | ..720. |
B1gE1gE1uE2u. | ..720. |
B1gE1gE2uE3u. | ..288. |
B1gE2gA1uE2u. | ..576. |
B1gE2gA2uE2u. | ..288. |
B1gE2gB1uE2u. | ..576. |
B1gE2gB2uE2u. | ..864. |
B1gE2gE1uE3u. | ..288. |
B1gE3gA1uE1u. |
..576. |
B1gE3gA2uE1u. | ..288. |
B1gE3gB1uE3u. | ..576. |
B1gE3gB2uE3u. | ..864. |
B1gE3gE1uE2u. | ..864. |
B1gE3gE2uE3u. | ..360. |
B2gE1gE2gE3g. | ..120. |
B2gE1gA1uE3u. | ..240. |
B2gE1gA2uE3u. | ..120. |
B2gE1gB1uE1u. | ..240. |
B2gE1gB2uE1u. |
..360. |
B2gE1gE1uE2u. | ..360. |
B2gE1gE2uE3u. | ..144. |
B2gE2gA1uE2u. | ..288. |
B2gE2gA2uE2u. | ..144. |
B2gE2gB1uE2u. | ..288. |
B2gE2gB2uE2u. | ..432. |
B2gE2gE1uE3u. | ..144. |
B2gE3gA1uE1u. | ..288. |
B2gE3gA2uE1u. | ..144. |
B2gE3gB1uE3u. |
..288. |
B2gE3gB2uE3u. | ..432. |
B2gE3gE1uE2u. | ..432. |
B2gE3gE2uE3u. | ..360. |
E1gE2gA1uE1u. | ..360. |
E1gE2gA1uE3u. | ..720. |
E1gE2gA2uE1u. | ..720. |
E1gE2gA2uE3u. | ..360. |
E1gE2gB1uE1u. | ..360. |
E1gE2gB1uE3u. | ..720. |
E1gE2gB2uE1u. |
..720. |
E1gE2gB2uE3u. | ..2.160. |
E1gE2gE1uE2u. | ..2.160. |
E1gE2gE2uE3u. | ..120. |
E1gE3gA1uB1u. | ..240. |
E1gE3gA1uB2u. | ..360. |
E1gE3gA1uE2u. | ..240. |
E1gE3gA2uB1u. | ..480. |
E1gE3gA2uB2u. | ..720. |
E1gE3gA2uE2u. | ..360. |
E1gE3gB1uE2u. |
..720. |
E1gE3gB2uE2u. | ..3.240. |
E1gE3gE1uE3u. | ..432. |
E2gE3gA1uE1u. | ..432. |
E2gE3gA1uE3u. | ..864. |
E2gE3gA2uE1u. | ..864. |
E2gE3gA2uE3u. | ..432. |
E2gE3gB1uE1u. | ..432. |
E2gE3gB1uE3u. | ..864. |
E2gE3gB2uE1u. | ..864. |
E2gE3gB2uE3u. |
..2.592. |
E2gE3gE1uE2u. | ..2.592. |
E2gE3gE2uE3u. | ..64. |
A1uA2uB1uB2u. | ..144. |
A1uB1uE1uE3u. | ..288. |
A1uB2uE1uE3u. | ..432. |
A1uE1uE2uE3u. | ..288. |
A2uB1uE1uE3u. | ..576. |
A2uB2uE1uE3u. | ..864. |
A2uE1uE2uE3u. | ..432. |
B1uE1uE2uE3u. |
..864. |
B2uE1uE2uE3u. | | |
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Subtotal: 58.728 / 131 / 1.001 |
Total: 104.760 / 320 / 2.380 |
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Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement