Direct sum of irreducible representation

A1	A2	E	T1	T2
4	3	3	6	7

Properties of derivatives and isotopomers by single substitution, h(O)=24

Atom Set*	Site Symmetry**	h(Site Symmetry)	Identical Atoms***	Element	Chrial	Polar	Isotopomer
							Isotope	Mass	Abundance****
1	C3	3	8	Si	yes	yes	29Si 30Si	536.9418 537.9390	18.8452 12.4374
2	C2	2	12	O	yes	yes	18O 17O	537.9464 536.9464	1.1155 0.2120
3	C3	3	8	C	yes	yes	13C	536.9455	4.1260
4	C1	1	24	H	yes	yes	2H	536.9485	0.1736
Total Number of Atoms:			52	✅ Correct Number of Atoms found

*Atom Orbit
**Subgroup of point group O
***Calculated as h( O)/h(Site Symmetry)
****Natural Abundance of single substituted Isotopomer in %

Numbers of isomers by substitution

Replacement	Pattern	Chiral Isomers
Single	X	4
Double	X2	67
Double	XY	115
Triple	X3	940
Triple	X2Y	2.779
Triple	XYZ	5.533
Quadruple	X4	11.427
Quadruple	X3Y	45.156
Quadruple	X2Y2	67.927
Quadruple	X2YZ	135.379
Quadruple	WXYZ	270.733
Quintuple	X5	108.472
Quintuple	VWXYZ	12.994.800
Sextuple	X6	849.308
Sextuple	UVWXYZ	610.755.600

Further Reading

• P.W. Fowler, J. Chem. Soc. Faraday Trans. 91(15) 2241 (1995)
  Isomer Counting using Point Group Symmetry
  
  

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Representation Γ_3N