Direct sum of irreducible representation

A'	A''
4	3

Properties of derivatives and isotopomers by single substitution, h(C_s)=2

Atom Set*	Site Symmetry**	h(Site Symmetry)	Identical Atoms***	Element	Chrial	Polar	Isotopomer
							Isotope	Mass	Abundance****
1	Cs	2	1	S	no	yes	34S 33S 36S	225.8003 224.8039 227.7995	3.1222 0.5510 0.007346
2	C1	1	2	S	yes	yes	34S 33S 36S	225.8003 224.8039 227.7995	6.2443 1.1019 0.014693
3	C1	1	2	S	yes	yes	34S 33S 36S	225.8003 224.8039 227.7995	6.2443 1.1019 0.014693
4	C1	1	2	S	yes	yes	34S 33S 36S	225.8003 224.8039 227.7995	6.2443 1.1019 0.014693
Total Number of Atoms:			7	✅ Correct Number of Atoms found

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

Numbers of isomers by substitution

Replacement	Pattern	Achiral Isomers	Chiral Isomer Pairs
Single	X	1	3
Double	X2	3	9
Double	XY	0	21
Triple	X3	3	16
Triple	X2Y	3	51
Triple	XYZ	0	105
Quadruple	X4	3	16
Quadruple	X3Y	0	70
Quadruple	X2Y2	6	102
Quadruple	X2YZ	0	210
Quadruple	WXYZ	0	420
Quintuple	X5	3	9
Quintuple	VWXYZ	0	1.260
Sextuple	X6	1	3
Sextuple	UVWXYZ	0	2.520

Further Reading

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

---

Representation Γ_3N