Cartesian Representation Matrices for Point Group D20d

Cartesian Representation Matrices for Point Group D_20d

Symmetry Element / Class:	20σ_d
Character / Trace:	1.0000
Determinant:	-1.0000

**Mirror Plane Axis 1**
0.9969	0.0785	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.9877	0.1564	0.0000
0.1564	-0.9877	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.9724	0.2334	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.8910	0.4540	0.0000
0.4540	-0.8910	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.9239	0.3827	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.7071	0.7071	0.0000
0.7071	-0.7071	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.8526	0.5225	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.4540	0.8910	0.0000
0.8910	-0.4540	0.0000
0.0000	0.0000	1.0000

**Mirror Plane Axis 1**
0.7604	0.6494	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.1564	0.9877	0.0000
0.9877	-0.1564	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.6494	0.7604	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.1564	0.9877	0.0000
0.9877	0.1564	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.5225	0.8526	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.4540	0.8910	0.0000
0.8910	0.4540	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.3827	0.9239	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.7071	0.7071	0.0000
0.7071	0.7071	0.0000
0.0000	0.0000	1.0000

**Mirror Plane Axis 1**
0.2334	0.9724	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.8910	0.4540	0.0000
0.4540	0.8910	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.0785	0.9969	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.9877	0.1564	0.0000
0.1564	0.9877	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.0785	0.9969	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.9877	-0.1564	0.0000
-0.1564	0.9877	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.2334	0.9724	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.8910	-0.4540	0.0000
-0.4540	0.8910	0.0000
0.0000	0.0000	1.0000

**Mirror Plane Axis 1**
-0.3827	0.9239	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.7071	-0.7071	0.0000
-0.7071	0.7071	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.5225	0.8526	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.4540	-0.8910	0.0000
-0.8910	0.4540	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.6494	0.7604	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.1564	-0.9877	0.0000
-0.9877	0.1564	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.7604	0.6494	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.1564	-0.9877	0.0000
-0.9877	-0.1564	0.0000
0.0000	0.0000	1.0000

**Mirror Plane Axis 1**
-0.8526	0.5225	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.4540	-0.8910	0.0000
-0.8910	-0.4540	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.9239	0.3827	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.7071	-0.7071	0.0000
-0.7071	-0.7071	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.9724	0.2334	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.8910	-0.4540	0.0000
-0.4540	-0.8910	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.9969	0.0785	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.9877	-0.1564	0.0000
-0.1564	-0.9877	0.0000
0.0000	0.0000	1.0000

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