Direct sum of irreducible representation
| A'1 |
A'2 |
E'1 |
E'2 |
A''1 |
A''2 |
E''1 |
E''2 |
| 2 |
0 |
2 |
2 |
0 |
0 |
0 |
0 |
Properties of derivatives and isotopomers by single substitution, h(D5h)=20
| Atom Set* | Site Symmetry** | h(Site Symmetry) | Identical Atoms*** | Element | Chrial | Polar | Isotopomer |
|---|
| Isotope | Mass | Abundance**** |
|---|
| 1 | C2v |
4 | 5 | C | no | yes | 13C | 66.0425 | 5.2579 |
| 2 | C2v |
4 | 5 | H | no | yes | 2H | 66.0454 | 0.073757 |
| Total Number of Atoms: | 10 | ✅ Correct Number of Atoms found |
|---|
*Atom Orbit
**Subgroup of point group D
5h
***Calculated as h( D
5h)/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 | 7 | 0 |
| Double | XY | 10 | 0 |
| Triple | X3 | 16 | 0 |
| Triple | X2Y | 40 | 0 |
| Triple | XYZ | 72 | 0 |
| Quadruple | X4 | 26 | 0 |
| Quadruple | X3Y | 88 | 0 |
| Quadruple | X2Y2 | 136 | 0 |
| Quadruple | X2YZ | 256 | 0 |
| Quadruple | WXYZ | 504 | 0 |
| Quintuple | X5 | 32 | 0 |
| Quintuple | VWXYZ | 3.024 | 0 |
| Sextuple | X6 | 26 | 0 |
| Sextuple | UVWXYZ | 15.120 | 0 |
Further Reading
- P.W. Fowler, J. Chem. Soc. Faraday Trans. 91(15) 2241 (1995)
Isomer Counting using Point Group Symmetry
Representation Γ3N