1. BYMUHAMMAD HASNAINIMPROPERROTATION 2. In geometry, an improper rotation, alsocalled rotoreflection or rotary reflection is, dependingon context, a linear transformation or affinetransformation which is the combination ofa rotation about an axis and a reflection in a planeperpendicular to the axis.In 3D, equivalently it is the combination of a rotation andan inversion in a point on the axis. Therefore it is alsocalled a rotoinversion or rotary inversion.What is Improper Rotation? 3. An improper rotation is performed by rotating themolecule 360/n followed by reflection through theplane perpendicular to the rotation axis. If theresulting configuration is indistinguishable from theoriginal, we say there exists an n-fold improperrotation axis (or Sn axis) in the moleculeFormula of Improper Rotation (Sn): Cn + hWhat is Improper Rotation? 4. What is Improper Rotation? 5. EXAMPLES OF IMPROPERROTATION 6. EXAMPLES OF IMPROPERROTATIONBF3 Boron TrifluorideSn= S3 7. EXAMPLES OF IMPROPERROTATIONCH4 MethaneSn= S4 8. EXAMPLES OF IMPROPERROTATIONStaggered FerroceneSn= S10FeStaggered FerroceneTop ViewC10 Fe Feh 9. EXAMPLES OF IMPROPERROTATIONStaggered EthaneSn= S6hHHHH HHORC6HHHH HHHHHH HH 10. EXAMPLES OF IMPROPERROTATIONStaggered MoleculeSn= S12hCrStaggered MoleculeTop ViewC12 11. EXAMPLES OF IMPROPERROTATIONSn= S7hHHHHHHHC7HHHHHHH HHHHHHH 12. THANK YOU