Direct sum of irreducible representation
| Ag |
T1g |
T2g |
Gg |
Hg |
Au |
T1u |
T2u |
Gu |
Hu |
| 2 |
0 |
0 |
0 |
2 |
0 |
2 |
2 |
0 |
0 |
Properties of derivatives and isotopomers by single substitution, h(Ih)=120
| Atom Set* | Site Symmetry** | h(Site Symmetry) | Identical Atoms*** | Element | Chrial | Polar | Isotopomer |
|---|
| Isotope | Mass | Abundance**** |
|---|
| 1 | C5v |
10 | 12 | B | no | yes | 10B | 143.2092 | 20.7577 |
| 2 | C5v |
10 | 12 | H | no | yes | 2H | 145.2118 | 0.013036 |
| Total Number of Atoms: | 24 | ✅ Correct Number of Atoms found |
|---|
*Atom Orbit
**Subgroup of point group I
h
***Calculated as h( I
h)/h(Site Symmetry)
****Natural Abundance of single substituted Isotopomer in %
Numbers of isomers by substitution
| Replacement | Pattern | Achiral
Isomers | Chiral
Isomer Pairs |
|---|
| Single | X | 2 | 0 |
| Double | X2 | 10 | 0 |
| Double | XY | 14 | 0 |
| Triple | X3 | 30 | 4 |
| Triple | X2Y | 58 | 24 |
| Triple | XYZ | 84 | 64 |
| Quadruple | X4 | 82 | 56 |
| Quadruple | X3Y | 182 | 264 |
| Quadruple | X2Y2 | 234 | 432 |
| Quadruple | X2YZ | 322 | 904 |
| Quadruple | WXYZ | 420 | 1.920 |
| Quintuple | X5 | 182 | 264 |
| Quintuple | VWXYZ | 1.680 | 41.664 |
| Sextuple | X6 | 362 | 976 |
| Sextuple | UVWXYZ | 5.040 | 807.686 |
Further Reading
- P.W. Fowler, J. Chem. Soc. Faraday Trans. 91(15) 2241 (1995)
Isomer Counting using Point Group Symmetry
Representation Γ3N