Cartesian Representation Matrices for Point Group D16d

Cartesian Representation Matrices for Point Group D_16d

Symmetry Element / Class:	16σ_d
Character / Trace:	1.0000
Determinant:	-1.0000

**Mirror Plane Axis 1**
0.9952	0.0980	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.9808	0.1951	0.0000
0.1951	-0.9808	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.9569	0.2903	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.8315	0.5556	0.0000
0.5556	-0.8315	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.8819	0.4714	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.5556	0.8315	0.0000
0.8315	-0.5556	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.7730	0.6344	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.1951	0.9808	0.0000
0.9808	-0.1951	0.0000
0.0000	0.0000	1.0000

**Mirror Plane Axis 1**
0.6344	0.7730	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.1951	0.9808	0.0000
0.9808	0.1951	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.4714	0.8819	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.5556	0.8315	0.0000
0.8315	0.5556	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.2903	0.9569	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.8315	0.5556	0.0000
0.5556	0.8315	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
0.0980	0.9952	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.9808	0.1951	0.0000
0.1951	0.9808	0.0000
0.0000	0.0000	1.0000

**Mirror Plane Axis 1**
-0.0980	0.9952	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.9808	-0.1951	0.0000
-0.1951	0.9808	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.2903	0.9569	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.8315	-0.5556	0.0000
-0.5556	0.8315	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.4714	0.8819	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.5556	-0.8315	0.0000
-0.8315	0.5556	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.6344	0.7730	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
-0.1951	-0.9808	0.0000
-0.9808	0.1951	0.0000
0.0000	0.0000	1.0000

**Mirror Plane Axis 1**
-0.7730	0.6344	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.1951	-0.9808	0.0000
-0.9808	-0.1951	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.8819	0.4714	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.5556	-0.8315	0.0000
-0.8315	-0.5556	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.9569	0.2903	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.8315	-0.5556	0.0000
-0.5556	-0.8315	0.0000
0.0000	0.0000	1.0000

aaaaaaa

**Mirror Plane Axis 1**
-0.9952	0.0980	0.0000

**Mirror Plane Axis 2**
0.0000	0.0000	1.0000

**Representation Matrix**
0.9808	-0.1951	0.0000
-0.1951	-0.9808	0.0000
0.0000	0.0000	1.0000

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