Cartesian Representation Matrices for Point Group D16d

Cartesian Representation Matrices for Point Group D_16d

Symmetry Element / Class:	16C'₂
Character / Trace:	-1.0000
Determinant:	1.0000

**Rotation Axis**
1.0000	0.0000	0.0000

**Rotation Angle**
φ = 180.0°

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

aaaaaaa

**Rotation Axis**
0.9808	0.1951	0.0000

**Rotation Angle**
φ = 180.0°

**Representation Matrix**
0.9239	0.3827	0.0000
0.3827	-0.9239	0.0000
0.0000	0.0000	-1.0000

aaaaaaa

**Rotation Axis**
0.9239	0.3827	0.0000

**Rotation Angle**
φ = 180.0°

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

aaaaaaa

**Rotation Axis**
0.8315	0.5556	0.0000

**Rotation Angle**
φ = 180.0°

**Representation Matrix**
0.3827	0.9239	0.0000
0.9239	-0.3827	0.0000
0.0000	0.0000	-1.0000

**Rotation Axis**
0.7071	0.7071	0.0000

**Rotation Angle**
φ = 180.0°

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

aaaaaaa

**Rotation Axis**
0.5556	0.8315	0.0000

**Rotation Angle**
φ = 180.0°

**Representation Matrix**
-0.3827	0.9239	0.0000
0.9239	0.3827	0.0000
0.0000	0.0000	-1.0000

aaaaaaa

**Rotation Axis**
0.3827	0.9239	0.0000

**Rotation Angle**
φ = 180.0°

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

aaaaaaa

**Rotation Axis**
0.1951	0.9808	0.0000

**Rotation Angle**
φ = 180.0°

**Representation Matrix**
-0.9239	0.3827	0.0000
0.3827	0.9239	0.0000
0.0000	0.0000	-1.0000

**Rotation Axis**
0.0000	1.0000	0.0000

**Rotation Angle**
φ = 180.0°

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

aaaaaaa

**Rotation Axis**
-0.1951	0.9808	0.0000

**Rotation Angle**
φ = 180.0°

**Representation Matrix**
-0.9239	-0.3827	0.0000
-0.3827	0.9239	0.0000
0.0000	0.0000	-1.0000

aaaaaaa

**Rotation Axis**
-0.3827	0.9239	0.0000

**Rotation Angle**
φ = 180.0°

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

aaaaaaa

**Rotation Axis**
-0.5556	0.8315	0.0000

**Rotation Angle**
φ = 180.0°

**Representation Matrix**
-0.3827	-0.9239	0.0000
-0.9239	0.3827	0.0000
0.0000	0.0000	-1.0000

**Rotation Axis**
-0.7071	0.7071	0.0000

**Rotation Angle**
φ = 180.0°

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

aaaaaaa

**Rotation Axis**
-0.8315	0.5556	0.0000

**Rotation Angle**
φ = 180.0°

**Representation Matrix**
0.3827	-0.9239	0.0000
-0.9239	-0.3827	0.0000
0.0000	0.0000	-1.0000

aaaaaaa

**Rotation Axis**
-0.9239	0.3827	0.0000

**Rotation Angle**
φ = 180.0°

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

aaaaaaa

**Rotation Axis**
-0.9808	0.1951	0.0000

**Rotation Angle**
φ = 180.0°

**Representation Matrix**
0.9239	-0.3827	0.0000
-0.3827	-0.9239	0.0000
0.0000	0.0000	-1.0000

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