Cartesian Representation Matrices for Point Group D12d

Cartesian Representation Matrices for Point Group D_12d

Symmetry Element / Class:	12σ_d
Character / Trace:	1.0000
Determinant:	-1.0000

**Mirror Plane Axis 1**
0.9914	0.1305	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.9659	0.2588	0.0000
0.2588	-0.9659	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.9239	0.3827	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.7071	0.7071	0.0000
0.7071	-0.7071	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.7934	0.6088	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.2588	0.9659	0.0000
0.9659	-0.2588	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.6088	0.7934	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.2588	0.9659	0.0000
0.9659	0.2588	0.0000
0.0000	0.0000	1.0000

**Mirror Plane Axis 1**
0.3827	0.9239	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.7071	0.7071	0.0000
0.7071	0.7071	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.1305	0.9914	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.9659	0.2588	0.0000
0.2588	0.9659	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.1305	0.9914	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.9659	-0.2588	0.0000
-0.2588	0.9659	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.3827	0.9239	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.7071	-0.7071	0.0000
-0.7071	0.7071	0.0000
0.0000	0.0000	1.0000

**Mirror Plane Axis 1**
-0.6088	0.7934	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.2588	-0.9659	0.0000
-0.9659	0.2588	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.7934	0.6088	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.2588	-0.9659	0.0000
-0.9659	-0.2588	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.9239	0.3827	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.7071	-0.7071	0.0000
-0.7071	-0.7071	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.9914	0.1305	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.9659	-0.2588	0.0000
-0.2588	-0.9659	0.0000
0.0000	0.0000	1.0000

Last update November, 13^th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement