Cartesian Representation Matrices for Point Group Ih

Cartesian Representation Matrices for Point Group I_h

Symmetry Element / Class:	15σ_d
Character / Trace:	1.0000
Determinant:	-1.0000

**Mirror Plane Axis 1**
0.6882	0.5000	0.5257

**Mirror Plane Axis 2**
-0.4253	-0.3090	0.8507

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

aaaaaaa

**Mirror Plane Axis 1**
-0.2629	0.8090	0.5257

**Mirror Plane Axis 2**
0.1625	-0.5000	0.8507

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

aaaaaaa

**Mirror Plane Axis 1**
-0.8507	0.0000	0.5257

**Mirror Plane Axis 2**
0.5257	0.0000	0.8507

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

aaaaaaa

**Mirror Plane Axis 1**
-0.2629	-0.8090	0.5257

**Mirror Plane Axis 2**
0.1625	0.5000	0.8507

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

**Mirror Plane Axis 1**
0.6882	-0.5000	0.5257

**Mirror Plane Axis 2**
-0.4253	0.3090	0.8507

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

aaaaaaa

**Mirror Plane Axis 1**
0.9511	0.3090	0.0000

**Mirror Plane Axis 2**
0.1625	-0.5000	0.8507

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

aaaaaaa

**Mirror Plane Axis 1**
0.9511	0.3090	0.0000

**Mirror Plane Axis 2**
-0.2629	0.8090	0.5257

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

aaaaaaa

**Mirror Plane Axis 1**
0.0000	1.0000	0.0000

**Mirror Plane Axis 2**
0.5257	0.0000	0.8507

**Representation Matrix**
-0.4472	0.0000	0.8944
0.0000	1.0000	0.0000
0.8944	0.0000	0.4472

**Mirror Plane Axis 1**
0.0000	1.0000	0.0000

**Mirror Plane Axis 2**
-0.8507	0.0000	0.5257

**Representation Matrix**
0.4472	0.0000	-0.8944
0.0000	1.0000	0.0000
-0.8944	0.0000	-0.4472

aaaaaaa

**Mirror Plane Axis 1**
-0.9511	0.3090	0.0000

**Mirror Plane Axis 2**
0.1625	0.5000	0.8507

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

aaaaaaa

**Mirror Plane Axis 1**
-0.9511	0.3090	0.0000

**Mirror Plane Axis 2**
-0.2629	-0.8090	0.5257

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

aaaaaaa

**Mirror Plane Axis 1**
-0.5878	-0.8090	0.0000

**Mirror Plane Axis 2**
-0.4253	0.3090	0.8507

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

**Mirror Plane Axis 1**
-0.5878	-0.8090	0.0000

**Mirror Plane Axis 2**
0.6882	-0.5000	0.5257

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

aaaaaaa

**Mirror Plane Axis 1**
0.5878	-0.8090	0.0000

**Mirror Plane Axis 2**
-0.4253	-0.3090	0.8507

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

aaaaaaa

**Mirror Plane Axis 1**
0.5878	-0.8090	0.0000

**Mirror Plane Axis 2**
0.6882	0.5000	0.5257

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

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