Cartesian Representation Matrices for Point Group I

Cartesian Representation Matrices for Point Group I

Symmetry Element / Class:	12(C₅)²
Character / Trace:	-0.6180
Determinant:	1.0000

**Rotation Axis**
0.0000	0.0000	1.0000

**Rotation Angle**
φ = 144.0°

**Representation Matrix**
-0.8090	-0.5878	0.0000
0.5878	-0.8090	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Rotation Axis**
0.8944	0.0000	0.4472

**Rotation Angle**
φ = 144.0°

**Representation Matrix**
0.6382	-0.2629	0.7236
0.2629	-0.8090	-0.5257
0.7236	0.5257	-0.4472

aaaaaaa

**Rotation Axis**
0.2764	0.8507	0.4472

**Rotation Angle**
φ = 144.0°

**Representation Matrix**
-0.6708	0.1625	0.7236
0.6882	0.5000	0.5257
-0.2764	0.8507	-0.4472

aaaaaaa

**Rotation Axis**
-0.7236	0.5257	0.4472

**Rotation Angle**
φ = 144.0°

**Representation Matrix**
0.1382	-0.9511	-0.2764
-0.4253	-0.3090	0.8507
-0.8944	0.0000	-0.4472

**Rotation Axis**
-0.7236	-0.5257	0.4472

**Rotation Angle**
φ = 144.0°

**Representation Matrix**
0.1382	0.4253	-0.8944
0.9511	-0.3090	0.0000
-0.2764	-0.8507	-0.4472

aaaaaaa

**Rotation Axis**
0.2764	-0.8507	0.4472

**Rotation Angle**
φ = 144.0°

**Representation Matrix**
-0.6708	-0.6882	-0.2764
-0.1625	0.5000	-0.8507
0.7236	-0.5257	-0.4472

aaaaaaa

**Rotation Axis**
0.0000	0.0000	1.0000

**Rotation Angle**
φ = 216.0°

**Representation Matrix**
-0.8090	0.5878	0.0000
-0.5878	-0.8090	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Rotation Axis**
0.8944	0.0000	0.4472

**Rotation Angle**
φ = 216.0°

**Representation Matrix**
0.6382	0.2629	0.7236
-0.2629	-0.8090	0.5257
0.7236	-0.5257	-0.4472

**Rotation Axis**
0.2764	0.8507	0.4472

**Rotation Angle**
φ = 216.0°

**Representation Matrix**
-0.6708	0.6882	-0.2764
0.1625	0.5000	0.8507
0.7236	0.5257	-0.4472

aaaaaaa

**Rotation Axis**
-0.7236	0.5257	0.4472

**Rotation Angle**
φ = 216.0°

**Representation Matrix**
0.1382	-0.4253	-0.8944
-0.9511	-0.3090	0.0000
-0.2764	0.8507	-0.4472

aaaaaaa

**Rotation Axis**
-0.7236	-0.5257	0.4472

**Rotation Angle**
φ = 216.0°

**Representation Matrix**
0.1382	0.9511	-0.2764
0.4253	-0.3090	-0.8507
-0.8944	0.0000	-0.4472

aaaaaaa

**Rotation Axis**
0.2764	-0.8507	0.4472

**Rotation Angle**
φ = 216.0°

**Representation Matrix**
-0.6708	-0.1625	0.7236
-0.6882	0.5000	-0.5257
-0.2764	-0.8507	-0.4472

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