Grouptheoretical Analysis




Composition Input Structure


Atomic
Number
Atomic
Symbol
Isotope Isotope
Mass
Isotope
Abundance
Number
Atoms
Mass
9F1918.9984100.00007132.9888
53I127126.9045100.00001126.9045
Total8 259.8933
Isotopomer Natural Abundance (%)100.0000


Determined Point Group: D5h








Representation ΓN


Characters of reducible representation
E 2C5 2(C5)2 5C'2 σh 2S5 2(S5)3 v
8 3.000 3.000 2 6 1.000 1.000 4

Direct sum of irreducible representation
A'1 A'2 E'1 E'2 A''1 A''2 E''1 E''2
3 0 1 1 0 1 0 0



Properties of derivatives and isotopomers by single substitution, h(D5h)=20
Atom Set*Site Symmetry**h(Site Symmetry)Identical Atoms***ElementChrialPolarIsotopomer
IsotopeMassAbundance****
1 D5h 201Inono---
2 C2v 45Fnoyes---
3 C5v 102Fnoyes---
Total Number of Atoms:8✅ Correct Number of Atoms found
*Atom Orbit
**Subgroup of point group D5h
***Calculated as h( D5h)/h(Site Symmetry)
****Natural Abundance of single substituted Isotopomer in %




Error: Reduction failed

Reduction to integer numbers for irreducible representations failed.
Error Code: 1

Numbers of isomers by substitution
ReplacementPatternAchiral
Isomers
Chiral
Isomer Pairs
SingleX30
DoubleX260
DoubleXY90
TripleX390
TripleX2Y172
TripleXYZ246
QuadrupleX4100
QuadrupleX3Y234
QuadrupleX2Y22810
QuadrupleX2YZ3924
QuadrupleWXYZ4860
QuintupleX590
QuintupleVWXYZ72300
SextupleX660
SextupleUVWXYZ
Characters of reducible representation
E 2C5 2(C5)2 5C'2 σh 2S5 2(S5)3 v
20.160 4.932.000 4.932.000 0 720 0.000 0.000 0