Cartesian Representation Matrices for Point Group D18d

Cartesian Representation Matrices for Point Group D_18d

Symmetry Element / Class:	18σ_d
Character / Trace:	1.0000
Determinant:	-1.0000

**Mirror Plane Axis 1**
0.9962	0.0872	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.9848	0.1736	0.0000
0.1736	-0.9848	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.9659	0.2588	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.8660	0.5000	0.0000
0.5000	-0.8660	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.9063	0.4226	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.6428	0.7660	0.0000
0.7660	-0.6428	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.8192	0.5736	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.3420	0.9397	0.0000
0.9397	-0.3420	0.0000
0.0000	0.0000	1.0000

**Mirror Plane Axis 1**
0.7071	0.7071	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

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

aaaaaaa

**Mirror Plane Axis 1**
0.5736	0.8192	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.3420	0.9397	0.0000
0.9397	0.3420	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.4226	0.9063	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.6428	0.7660	0.0000
0.7660	0.6428	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.2588	0.9659	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.8660	0.5000	0.0000
0.5000	0.8660	0.0000
0.0000	0.0000	1.0000

**Mirror Plane Axis 1**
0.0872	0.9962	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.9848	0.1736	0.0000
0.1736	0.9848	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.0872	0.9962	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.9848	-0.1736	0.0000
-0.1736	0.9848	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.2588	0.9659	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.8660	-0.5000	0.0000
-0.5000	0.8660	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.4226	0.9063	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.6428	-0.7660	0.0000
-0.7660	0.6428	0.0000
0.0000	0.0000	1.0000

**Mirror Plane Axis 1**
-0.5736	0.8192	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.3420	-0.9397	0.0000
-0.9397	0.3420	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.7071	0.7071	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

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

aaaaaaa

**Mirror Plane Axis 1**
-0.8192	0.5736	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.3420	-0.9397	0.0000
-0.9397	-0.3420	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.9063	0.4226	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.6428	-0.7660	0.0000
-0.7660	-0.6428	0.0000
0.0000	0.0000	1.0000

**Mirror Plane Axis 1**
-0.9659	0.2588	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.8660	-0.5000	0.0000
-0.5000	-0.8660	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.9962	0.0872	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.9848	-0.1736	0.0000
-0.1736	-0.9848	0.0000
0.0000	0.0000	1.0000

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