Symmetry Operation

OLS

Symmetry Operation
* N; ~. P1 Q8 i8 D2 g; ~+ p2 V0 m( uSymmetry operations include the Improper Rotation, Inversion Operation, Mirror Plane, and Rotation. Together, these operations create 32 crystal classes corresponding to the 32 Point Groups.
* d" |2 \: `- }/ ~* c8 |* X" Y, pThe Inversion Operation takes
(x,y,z)=>(-x,-y,-z)
4 T& t  w3 T5 E  o8 [5 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.
+ B  O6 e' u* {* O& l- NThe Mirror Plane symmetry operation takes
& t; k  j! }% ]. J/ B4 A(x,y,z)=>(x,y,-z)=>(x,-y,z)
$ w: P9 @& S! h0 ]) K! oetc., which is equivalent to 2.