Point Group Identification


D?h

A linear molecule with an inversion center.

 

Example: H2

C?v

A linear molecule that does not have an inversion center.

 

Example: HCN

Ih

A nonlinear molecule that has 2 or more Cn symmetries (where n>2), an inversion center, and a C5 symmetry.

 

This is a high symmetry molecule.

 

Example: A buckey ball (C60)

Oh

A nonlinear molecule that has 2 or more Cn symmetries (where n>2), an inversion center, and does not have a C5 symmetry.

 

This is a cubic group.

 

This is a high symmetry molecule.

 

Example: SF6

Td

A nonlinear molecule that has 2 or more Cn symmetries (where n>2) but does not have an inversion center.

 

This is a cubic group.

 

This is a high symmetry group.

 

Example: CH4

Drh

A nonlinear molecule that does not have 2 or more Cn symmetries (where n>2), but does have a Cn group. It has n C2 perpendicular to its Cn group and it has a ?h  plane.

 

This is a common point group.

 

Example: C2H4 is ___2___

Drd

A nonlinear molecule that does not have 2 or more Cn symmetries (where n>2), but does have a Cn group. It has n C2 perpendicular to its Cn group. It does not have a ?h plane, but it has n ?v planes.

 

Example: C3H4 is ___2____

Dn

A nonlinear molecule that does not have 2 or more Cn symmetries (where n>2), but does have a Cn group. It has n C2 perpendicular to its Cn group. It does not have a ?h plane or a ?v plane.

 

Example: [Co(en)3]3+ is ____3

Crh

A nonlinear molecule that does not have 2 or more Cn symmetries (where n>2), but does have a Cn group. It does not have n C2 perpendicular to its Cn group. It has a ?h plane.

 

Example: B(OH)3 is ___3___

Cnv

A nonlinear molecule that does not have 2 or more Cn symmetries (where n>2), but does have a Cn group. It does not have n C2 perpendicular to its Cn group. It does not have a ?h plane, but it has n ?v planes.

 

Example: Water is ___2___

S2n

A nonlinear molecule that does not have 2 or more Cn symmetries (where n>2), but does have a Cn group. It does not have n C2 perpendicular to its Cn group. It does not have a ?h  plane or n ?v planes. It has S2N symmetry.

 

This is not a common point group.

 

Example: 1,3,5,7 -tetrafluoracyclooctatetrane is ___4

Cn

A nonlinear molecule that only has Cn function groups.

 

Example: C2H4Cl2

Cs

A nonlinear molecule with two symmetry operations: E and ?h

 

Example: CH2BrCl

Ci

A nonlinear molecule with two symmetry operations: E and i.

 

Example: C2H2F2Cl2

C1

A non linear molecule whose only symmetry is E.

 

Example: HCFBrCl

x

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