Direct sum of irreducible representation

A'	E'*	A''	E''*
3	2	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	C3h	6	1	B	no	no	10B	61.0212	19.7490
2	Cs	2	3	O	no	yes	18O 17O	64.0218 63.0217	0.4781 0.090837
3	Cs	2	3	H	no	yes	2H	63.0238	0.037208
Total Number of Atoms:			7	✅ 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	3	0
Double	X2	7	0
Double	XY	14	0
Triple	X3	13	0
Triple	X2Y	35	0
Triple	XYZ	70	0
Quadruple	X4	13	0
Quadruple	X3Y	48	0
Quadruple	X2Y2	70	0
Quadruple	X2YZ	140	0
Quadruple	WXYZ	280	0
Quintuple	X5	7	0
Quintuple	VWXYZ	840	0
Sextuple	X6	3	0
Sextuple	UVWXYZ	1.680	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