Symmetry Operation

OLS

Symmetry Operation
1 y( F/ Z6 h1 H; k+ hSymmetry operations include the Improper Rotation, Inversion Operation, Mirror Plane, and Rotation. Together, these operations create 32 crystal classes corresponding to the 32 Point Groups.
$ k) k) w3 K* y$ P% I: L- L1 iThe Inversion Operation takes
(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.
+ }- ?$ u* g# L( R  }  xThe Mirror Plane symmetry operation takes
! m, j/ ]0 J- E9 z9 U- i( }(x,y,z)=>(x,y,-z)=>(x,-y,z)
etc., which is equivalent to 2.