Symmetry Operation

OLS

Symmetry Operation
4 c. y% N& i4 \" _# e! W' ]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.
- k- z, w6 X# o& W/ ^# d, k* v) @& MThe Inversion Operation takes
(x,y,z)=>(-x,-y,-z)
! r8 e# m5 m, E 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.
- Y, R! U6 ^' ^$ WThe Mirror Plane symmetry operation takes
(x,y,z)=>(x,y,-z)=>(x,-y,z)
etc., which is equivalent to 2.