Cartesian Representation Matrices for Point Group I

Cartesian Representation Matrices for Point Group I

Symmetry Element / Class:	12C₅
Character / Trace:	1.6180
Determinant:	1.0000

**Rotation Axis**
0.0000	0.0000	1.0000

**Rotation Angle**
φ = 72.0°

**Representation Matrix**
0.3090	-0.9511	0.0000
0.9511	0.3090	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Rotation Axis**
0.8944	0.0000	0.4472

**Rotation Angle**
φ = 72.0°

**Representation Matrix**
0.8618	-0.4253	0.2764
0.4253	0.3090	-0.8507
0.2764	0.8507	0.4472

aaaaaaa

**Rotation Axis**
0.2764	0.8507	0.4472

**Rotation Angle**
φ = 72.0°

**Representation Matrix**
0.3618	-0.2629	0.8944
0.5878	0.8090	0.0000
-0.7236	0.5257	0.4472

aaaaaaa

**Rotation Axis**
-0.7236	0.5257	0.4472

**Rotation Angle**
φ = 72.0°

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

**Rotation Axis**
-0.7236	-0.5257	0.4472

**Rotation Angle**
φ = 72.0°

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

aaaaaaa

**Rotation Axis**
0.2764	-0.8507	0.4472

**Rotation Angle**
φ = 72.0°

**Representation Matrix**
0.3618	-0.5878	-0.7236
0.2629	0.8090	-0.5257
0.8944	0.0000	0.4472

aaaaaaa

**Rotation Axis**
0.0000	0.0000	1.0000

**Rotation Angle**
φ = 288.0°

**Representation Matrix**
0.3090	0.9511	0.0000
-0.9511	0.3090	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Rotation Axis**
0.8944	0.0000	0.4472

**Rotation Angle**
φ = 288.0°

**Representation Matrix**
0.8618	0.4253	0.2764
-0.4253	0.3090	0.8507
0.2764	-0.8507	0.4472

**Rotation Axis**
0.2764	0.8507	0.4472

**Rotation Angle**
φ = 288.0°

**Representation Matrix**
0.3618	0.5878	-0.7236
-0.2629	0.8090	0.5257
0.8944	0.0000	0.4472

aaaaaaa

**Rotation Axis**
-0.7236	0.5257	0.4472

**Rotation Angle**
φ = 288.0°

**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 = 288.0°

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

aaaaaaa

**Rotation Axis**
0.2764	-0.8507	0.4472

**Rotation Angle**
φ = 288.0°

**Representation Matrix**
0.3618	0.2629	0.8944
-0.5878	0.8090	0.0000
-0.7236	-0.5257	0.4472

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