Cartesian Representation Matrices for Point Group Ih

Cartesian Representation Matrices for Point Group I_h

Symmetry Element / Class:	20C₃
Character / Trace:	0.0000
Determinant:	1.0000

**Rotation Axis**
0.4911	0.3568	0.7947

**Rotation Angle**
φ = 120.0°

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

aaaaaaa

**Rotation Axis**
-0.1876	0.5774	0.7947

**Rotation Angle**
φ = 120.0°

**Representation Matrix**
-0.4472	-0.8507	0.2764
0.5257	0.0000	0.8507
-0.7236	0.5257	0.4472

aaaaaaa

**Rotation Axis**
-0.6071	0.0000	0.7947

**Rotation Angle**
φ = 120.0°

**Representation Matrix**
0.0528	-0.6882	-0.7236
0.6882	-0.5000	0.5257
-0.7236	-0.5257	0.4472

aaaaaaa

**Rotation Axis**
-0.1876	-0.5774	0.7947

**Rotation Angle**
φ = 120.0°

**Representation Matrix**
-0.4472	-0.5257	-0.7236
0.8507	0.0000	-0.5257
0.2764	-0.8507	0.4472

**Rotation Axis**
0.4911	-0.3568	0.7947

**Rotation Angle**
φ = 120.0°

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

aaaaaaa

**Rotation Axis**
0.7947	0.5774	0.1876

**Rotation Angle**
φ = 120.0°

**Representation Matrix**
0.4472	0.5257	0.7236
0.8507	0.0000	-0.5257
-0.2764	0.8507	-0.4472

aaaaaaa

**Rotation Axis**
-0.3035	0.9342	0.1876

**Rotation Angle**
φ = 120.0°

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

aaaaaaa

**Rotation Axis**
-0.9822	0.0000	0.1876

**Rotation Angle**
φ = 120.0°

**Representation Matrix**
0.9472	-0.1625	-0.2764
0.1625	-0.5000	0.8507
-0.2764	-0.8507	-0.4472

**Rotation Axis**
-0.3035	-0.9342	0.1876

**Rotation Angle**
φ = 120.0°

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

aaaaaaa

**Rotation Axis**
0.7947	-0.5774	0.1876

**Rotation Angle**
φ = 120.0°

**Representation Matrix**
0.4472	-0.8507	-0.2764
-0.5257	0.0000	-0.8507
0.7236	0.5257	-0.4472

aaaaaaa

**Rotation Axis**
0.4911	0.3568	0.7947

**Rotation Angle**
φ = 240.0°

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

aaaaaaa

**Rotation Axis**
-0.1876	0.5774	0.7947

**Rotation Angle**
φ = 240.0°

**Representation Matrix**
-0.4472	0.5257	-0.7236
-0.8507	0.0000	0.5257
0.2764	0.8507	0.4472

**Rotation Axis**
-0.6071	0.0000	0.7947

**Rotation Angle**
φ = 240.0°

**Representation Matrix**
0.0528	0.6882	-0.7236
-0.6882	-0.5000	-0.5257
-0.7236	0.5257	0.4472

aaaaaaa

**Rotation Axis**
-0.1876	-0.5774	0.7947

**Rotation Angle**
φ = 240.0°

**Representation Matrix**
-0.4472	0.8507	0.2764
-0.5257	0.0000	-0.8507
-0.7236	-0.5257	0.4472

aaaaaaa

**Rotation Axis**
0.4911	-0.3568	0.7947

**Rotation Angle**
φ = 240.0°

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

aaaaaaa

**Rotation Axis**
0.7947	0.5774	0.1876

**Rotation Angle**
φ = 240.0°

**Representation Matrix**
0.4472	0.8507	-0.2764
0.5257	0.0000	0.8507
0.7236	-0.5257	-0.4472

**Rotation Axis**
-0.3035	0.9342	0.1876

**Rotation Angle**
φ = 240.0°

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

aaaaaaa

**Rotation Axis**
-0.9822	0.0000	0.1876

**Rotation Angle**
φ = 240.0°

**Representation Matrix**
0.9472	0.1625	-0.2764
-0.1625	-0.5000	-0.8507
-0.2764	0.8507	-0.4472

aaaaaaa

**Rotation Axis**
-0.3035	-0.9342	0.1876

**Rotation Angle**
φ = 240.0°

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

aaaaaaa

**Rotation Axis**
0.7947	-0.5774	0.1876

**Rotation Angle**
φ = 240.0°

**Representation Matrix**
0.4472	-0.5257	0.7236
-0.8507	0.0000	0.5257
-0.2764	-0.8507	-0.4472

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