Symmetry Operation

OLS

Symmetry Operation
& e' z2 m  b" \/ u8 x& XSymmetry operations include the Improper Rotation, Inversion Operation, Mirror Plane, and Rotation. Together, these operations create 32 crystal classes corresponding to the 32 Point Groups.
( y, ?+ |9 t& @% n5 e! qThe Inversion Operation takes
' S% R5 I" I# M$ H; r* H% v; V(x,y,z)=>(-x,-y,-z)
and is denoted i. When used in conjunction with a Rotation, it becomes an Improper Rotation. An Improper Rotation by 360/n . For periodic crystals, the Crystallography Restriction allows only the Improper Rotations 1, 2, 3, 4, and 6.
- t& m/ C: B4 ?! r* vThe Mirror Plane symmetry operation takes
(x,y,z)=>(x,y,-z)=>(x,-y,z)
etc., which is equivalent to 2.