Cartesian Representation Matrices for Point Group D19d

Cartesian Representation Matrices for Point Group D_19d

Symmetry Element / Class:	19σ_d
Character / Trace:	1.0000
Determinant:	-1.0000

**Mirror Plane Axis 1**
0.9966	0.0826	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.9864	0.1646	0.0000
0.1646	-0.9864	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.9694	0.2455	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.8795	0.4759	0.0000
0.4759	-0.8795	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.9158	0.4017	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.6773	0.7357	0.0000
0.7357	-0.6773	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.8372	0.5469	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.4017	0.9158	0.0000
0.9158	-0.4017	0.0000
0.0000	0.0000	1.0000

**Mirror Plane Axis 1**
0.7357	0.6773	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.0826	0.9966	0.0000
0.9966	-0.0826	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.6142	0.7891	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.2455	0.9694	0.0000
0.9694	0.2455	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.4759	0.8795	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.5469	0.8372	0.0000
0.8372	0.5469	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.3247	0.9458	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.7891	0.6142	0.0000
0.6142	0.7891	0.0000
0.0000	0.0000	1.0000

**Mirror Plane Axis 1**
0.1646	0.9864	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.9458	0.3247	0.0000
0.3247	0.9458	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.0000	1.0000	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**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**
-0.1646	0.9864	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.9458	-0.3247	0.0000
-0.3247	0.9458	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.3247	0.9458	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.7891	-0.6142	0.0000
-0.6142	0.7891	0.0000
0.0000	0.0000	1.0000

**Mirror Plane Axis 1**
-0.4759	0.8795	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.5469	-0.8372	0.0000
-0.8372	0.5469	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.6142	0.7891	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.2455	-0.9694	0.0000
-0.9694	0.2455	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.7357	0.6773	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.0826	-0.9966	0.0000
-0.9966	-0.0826	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.8372	0.5469	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.4017	-0.9158	0.0000
-0.9158	-0.4017	0.0000
0.0000	0.0000	1.0000

**Mirror Plane Axis 1**
-0.9158	0.4017	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.6773	-0.7357	0.0000
-0.7357	-0.6773	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.9694	0.2455	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.8795	-0.4759	0.0000
-0.4759	-0.8795	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.9966	0.0826	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.9864	-0.1646	0.0000
-0.1646	-0.9864	0.0000
0.0000	0.0000	1.0000

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