Improper Rotation

Improper Rotation By Muhammad Hasnain

1. BY MUHAMMAD HASNAIN IMPROPER ROTATION

2. In geometry, an  improper rotation , also called  rotoreflection  or  rotary reflection  is, depending on context, a linear transformation or affine transformation which is the combination of a rotation about an axis and a reflection in a plane perpendicular to the axis. In 3D, equivalently it is the combination of a rotation and an  inversion in a point on the axis. Therefore it is also called a  rotoinversion or  rotary inversion . What is Improper Rotation?

3. An improper rotation is performed by rotating the molecule 360°/ n  followed by  reflection  through the plane perpendicular to the rotation axis. If the resulting configuration is  indistinguishable  from the original, we say there exists an  n -fold improper rotation axis (or S n  axis) in the molecule Formula of Improper Rotation ( S n ): C n + σ h What is Improper Rotation?

4. What is Improper Rotation?

5. EXAMPLES OF IMPROPER ROTATION

6. EXAMPLES OF IMPROPER ROTATION BF 3  Boron Trifluoride Sn = S 3

7. EXAMPLES OF IMPROPER ROTATION CH 4  Methane Sn = S 4

8. EXAMPLES OF IMPROPER ROTATION Staggered Ferrocene Sn = S 10 σ h

9. EXAMPLES OF IMPROPER ROTATION Staggered Ethane Sn = S 6 σ h

10. EXAMPLES OF IMPROPER ROTATION Staggered Molecule Sn = S 12 σ h

11. EXAMPLES OF IMPROPER ROTATION Sn = S 7 σ h

12. THANK YOU