Cartesian Representation Matrices for Point Group D13d

Cartesian Representation Matrices for Point Group D_13d

Symmetry Element / Class:	13σ_d
Character / Trace:	1.0000
Determinant:	-1.0000

**Mirror Plane Axis 1**
0.9927	0.1205	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.9709	0.2393	0.0000
0.2393	-0.9709	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.9350	0.3546	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.7485	0.6631	0.0000
0.6631	-0.7485	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.8230	0.5681	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.3546	0.9350	0.0000
0.9350	-0.3546	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.6631	0.7485	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.1205	0.9927	0.0000
0.9927	0.1205	0.0000
0.0000	0.0000	1.0000

**Mirror Plane Axis 1**
0.4647	0.8855	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.5681	0.8230	0.0000
0.8230	0.5681	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.2393	0.9709	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.8855	0.4647	0.0000
0.4647	0.8855	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**
-0.2393	0.9709	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.8855	-0.4647	0.0000
-0.4647	0.8855	0.0000
0.0000	0.0000	1.0000

**Mirror Plane Axis 1**
-0.4647	0.8855	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.5681	-0.8230	0.0000
-0.8230	0.5681	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.6631	0.7485	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.1205	-0.9927	0.0000
-0.9927	0.1205	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.8230	0.5681	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.3546	-0.9350	0.0000
-0.9350	-0.3546	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.9350	0.3546	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.7485	-0.6631	0.0000
-0.6631	-0.7485	0.0000
0.0000	0.0000	1.0000

**Mirror Plane Axis 1**
-0.9927	0.1205	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.9709	-0.2393	0.0000
-0.2393	-0.9709	0.0000
0.0000	0.0000	1.0000

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