Symmetry Operation

OLS

Symmetry Operation
: s9 v! z; E7 cSymmetry operations include the Improper Rotation, Inversion Operation, Mirror Plane, and Rotation. Together, these operations create 32 crystal classes corresponding to the 32 Point Groups.
1 q/ u3 k3 \+ r8 x, t! j' i# \* DThe Inversion Operation takes
(x,y,z)=>(-x,-y,-z)
7 z$ d# k- d( {4 }& U) t 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.
The Mirror Plane symmetry operation takes
(x,y,z)=>(x,y,-z)=>(x,-y,z)
- v0 ^& q  R" H* I% p% ?" [2 ]4 H# hetc., which is equivalent to 2.