Cartesian Representation Matrices for Point Group D15

Symmetry Element / Class: 15C'2
Character / Trace:-1.0000
Determinant:1.0000




Rotation Axis
1.00000.00000.0000
Rotation Angle
φ = 180.0°
Representation Matrix
1.00000.00000.0000
0.0000-1.00000.0000
0.00000.0000-1.0000
aaaaaaa
Rotation Axis
0.97810.20790.0000
Rotation Angle
φ = 180.0°
Representation Matrix
0.91350.40670.0000
0.4067-0.91350.0000
0.00000.0000-1.0000
aaaaaaa
Rotation Axis
0.91350.40670.0000
Rotation Angle
φ = 180.0°
Representation Matrix
0.66910.74310.0000
0.7431-0.66910.0000
0.00000.0000-1.0000
aaaaaaa
Rotation Axis
0.80900.58780.0000
Rotation Angle
φ = 180.0°
Representation Matrix
0.30900.95110.0000
0.9511-0.30900.0000
0.00000.0000-1.0000



Rotation Axis
0.66910.74310.0000
Rotation Angle
φ = 180.0°
Representation Matrix
-0.10450.99450.0000
0.99450.10450.0000
0.00000.0000-1.0000
aaaaaaa
Rotation Axis
0.50000.86600.0000
Rotation Angle
φ = 180.0°
Representation Matrix
-0.50000.86600.0000
0.86600.50000.0000
0.00000.0000-1.0000
aaaaaaa
Rotation Axis
0.30900.95110.0000
Rotation Angle
φ = 180.0°
Representation Matrix
-0.80900.58780.0000
0.58780.80900.0000
0.00000.0000-1.0000
aaaaaaa
Rotation Axis
0.10450.99450.0000
Rotation Angle
φ = 180.0°
Representation Matrix
-0.97810.20790.0000
0.20790.97810.0000
0.00000.0000-1.0000



Rotation Axis
-0.10450.99450.0000
Rotation Angle
φ = 180.0°
Representation Matrix
-0.9781-0.20790.0000
-0.20790.97810.0000
0.00000.0000-1.0000
aaaaaaa
Rotation Axis
-0.30900.95110.0000
Rotation Angle
φ = 180.0°
Representation Matrix
-0.8090-0.58780.0000
-0.58780.80900.0000
0.00000.0000-1.0000
aaaaaaa
Rotation Axis
-0.50000.86600.0000
Rotation Angle
φ = 180.0°
Representation Matrix
-0.5000-0.86600.0000
-0.86600.50000.0000
0.00000.0000-1.0000
aaaaaaa
Rotation Axis
-0.66910.74310.0000
Rotation Angle
φ = 180.0°
Representation Matrix
-0.1045-0.99450.0000
-0.99450.10450.0000
0.00000.0000-1.0000



Rotation Axis
-0.80900.58780.0000
Rotation Angle
φ = 180.0°
Representation Matrix
0.3090-0.95110.0000
-0.9511-0.30900.0000
0.00000.0000-1.0000
aaaaaaa
Rotation Axis
-0.91350.40670.0000
Rotation Angle
φ = 180.0°
Representation Matrix
0.6691-0.74310.0000
-0.7431-0.66910.0000
0.00000.0000-1.0000
aaaaaaa
Rotation Axis
-0.97810.20790.0000
Rotation Angle
φ = 180.0°
Representation Matrix
0.9135-0.40670.0000
-0.4067-0.91350.0000
0.00000.0000-1.0000



Last update July, 22nd 2019 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement