Cartesian Representation Matrices for Point Group Ih

Symmetry Element / Class: 12(S10)3
Character / Trace:-1.6180
Determinant:-1.0000




Rotation Axis
0.00000.00001.0000
Rotation Angle
φ = 108.0°
Representation Matrix
-0.3090-0.95110.0000
0.9511-0.30900.0000
0.00000.0000-1.0000
aaaaaaa
Rotation Axis
0.89440.00000.4472
Rotation Angle
φ = 108.0°
Representation Matrix
-0.8618-0.4253-0.2764
0.4253-0.3090-0.8507
-0.27640.8507-0.4472
aaaaaaa
Rotation Axis
0.27640.85070.4472
Rotation Angle
φ = 108.0°
Representation Matrix
-0.3618-0.58780.7236
0.2629-0.8090-0.5257
-0.89440.0000-0.4472
aaaaaaa
Rotation Axis
-0.72360.52570.4472
Rotation Angle
φ = 108.0°
Representation Matrix
-0.6708-0.16250.7236
0.6882-0.50000.5257
-0.2764-0.8507-0.4472



Rotation Axis
-0.7236-0.52570.4472
Rotation Angle
φ = 108.0°
Representation Matrix
-0.6708-0.6882-0.2764
0.1625-0.50000.8507
0.7236-0.5257-0.4472
aaaaaaa
Rotation Axis
0.2764-0.85070.4472
Rotation Angle
φ = 108.0°
Representation Matrix
-0.3618-0.2629-0.8944
0.5878-0.80900.0000
0.72360.5257-0.4472
aaaaaaa
Rotation Axis
0.00000.00001.0000
Rotation Angle
φ = 252.0°
Representation Matrix
-0.30900.95110.0000
-0.9511-0.30900.0000
0.00000.0000-1.0000
aaaaaaa
Rotation Axis
0.89440.00000.4472
Rotation Angle
φ = 252.0°
Representation Matrix
-0.86180.4253-0.2764
-0.4253-0.30900.8507
-0.2764-0.8507-0.4472



Rotation Axis
0.27640.85070.4472
Rotation Angle
φ = 252.0°
Representation Matrix
-0.36180.2629-0.8944
-0.5878-0.80900.0000
0.7236-0.5257-0.4472
aaaaaaa
Rotation Axis
-0.72360.52570.4472
Rotation Angle
φ = 252.0°
Representation Matrix
-0.67080.6882-0.2764
-0.1625-0.5000-0.8507
0.72360.5257-0.4472
aaaaaaa
Rotation Axis
-0.7236-0.52570.4472
Rotation Angle
φ = 252.0°
Representation Matrix
-0.67080.16250.7236
-0.6882-0.5000-0.5257
-0.27640.8507-0.4472
aaaaaaa
Rotation Axis
0.2764-0.85070.4472
Rotation Angle
φ = 252.0°
Representation Matrix
-0.36180.58780.7236
-0.2629-0.80900.5257
-0.89440.0000-0.4472






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