Direct sum of irreducible representation

A'	E'*	A''	E''*
5	5	0	0

Properties of derivatives and isotopomers by single substitution, h(C_3h)=6

Atom Set*	Site Symmetry**	h(Site Symmetry)	Identical Atoms***	Element	Chrial	Polar	Isotopomer
							Isotope	Mass	Abundance****
1	Cs	2	3	C	no	yes	13C	127.0350	3.0973
2	Cs	2	3	C	no	yes	13C	127.0350	3.0973
3	Cs	2	3	O	no	yes	18O 17O	128.0359 127.0359	0.5583 0.1061
4	Cs	2	3	H	no	yes	2H	127.0380	0.043449
5	Cs	2	3	H	no	yes	2H	127.0380	0.043449
Total Number of Atoms:			15	✅ Correct Number of Atoms found

*Atom Orbit
**Subgroup of point group C_3h
***Calculated as h( C_3h)/h(Site Symmetry)
****Natural Abundance of single substituted Isotopomer in %

Numbers of isomers by substitution

Replacement	Pattern	Achiral Isomers	Chiral Isomer Pairs
Single	X	5	0
Double	X2	35	0
Double	XY	70	0
Triple	X3	155	0
Triple	X2Y	455	0
Triple	XYZ	910	0
Quadruple	X4	455	0
Quadruple	X3Y	1.820	0
Quadruple	X2Y2	2.730	0
Quadruple	X2YZ	5.460	0
Quadruple	WXYZ	10.920	0
Quintuple	X5	1.001	0
Quintuple	VWXYZ	120.120	0
Sextuple	X6	1.675	0
Sextuple	UVWXYZ	1.201.200	0

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