Symmetry Operation

OLS

Symmetry Operation
Symmetry operations include the Improper Rotation, Inversion Operation, Mirror Plane, and Rotation. Together, these operations create 32 crystal classes corresponding to the 32 Point Groups.
; T/ }+ y( f2 U3 n( [) _3 b. AThe Inversion Operation takes
(x,y,z)=>(-x,-y,-z)
" G+ U( L# ]" d5 ]4 c 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.
! S% E' V' X$ V. }The Mirror Plane symmetry operation takes
(x,y,z)=>(x,y,-z)=>(x,-y,z)
" F) n' j- f7 i: setc., which is equivalent to 2.