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Point Group Identification
This identifies the point groups and what symmetries make up the group.
15
Chemistry
Undergraduate 4
02/13/2013

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Term

D∞h
Definition

A linear molecule with an inversion center.

 

Example: H2

Term
C∞v
Definition

A linear molecule that does not have an inversion center.

 

Example: HCN

Term
Ih
Definition

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)

Term
Oh
Definition

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

Term
Td
Definition

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

Term
Drh
Definition

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 σh  plane.

 

This is a common point group.

 

Example: C2H4 is ___2___

Term
Drd
Definition

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 σh plane, but it has n σv planes.

 

Example: C3H4 is ___2____

Term
Dn
Definition

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 σh plane or a σv plane.

 

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

Term
Crh
Definition

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 σh plane.

 

Example: B(OH)3 is ___3___

Term
Cnv
Definition

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 σh plane, but it has n σv planes.

 

Example: Water is ___2___

Term
S2n
Definition

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 σh  plane or n σv planes. It has S2N symmetry.

 

This is not a common point group.

 

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

Term
Cn
Definition

A nonlinear molecule that only has Cn function groups.

 

Example: C2H4Cl2

Term
Cs
Definition

A nonlinear molecule with two symmetry operations: E and σh

 

Example: CH2BrCl

Term
Ci
Definition

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

 

Example: C2H2F2Cl2

Term
C1
Definition

A non linear molecule whose only symmetry is E.

 

Example: HCFBrCl

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