Understanding Lattice Points in a Primitive Cubic Cell

[member 392791]

Hello,

Suppose I have a primitive cubic cell with 8 atoms, one on each corner of the cube. I don't understand how this consists of only one lattice point? Doesn't each corner have a lattice point, thus the cell would consist of 8 lattice points??

 

[Alkim]

No, several lattice points are used to reproduce the entire lattice by symmetry operations.