Symmetry Operation

OLS

Symmetry Operation
* I0 T* e: ~8 S/ k" y2 R9 vSymmetry operations include the Improper Rotation, Inversion Operation, Mirror Plane, and Rotation. Together, these operations create 32 crystal classes corresponding to the 32 Point Groups.
/ m' M2 e% b/ I: V1 B% AThe Inversion Operation takes
(x,y,z)=>(-x,-y,-z)
3 W$ v7 T* T) F! w 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.
9 \4 {. e" \7 n0 JThe Mirror Plane symmetry operation takes
(x,y,z)=>(x,y,-z)=>(x,-y,z)
% F; o+ |9 W7 B( v/ x0 T) I9 n, [etc., which is equivalent to 2.