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It is difficult to draw the lattice structures of without a computer.
It is more important that you be able to recognize the unit cells in the lattice structures.
The positive and negative ions are often in a cubic array. Here are two examples.
##”CsCl”##, a simple cubic structure
The ##”Cl”^-## ions are the blue atoms at the corners of the cube.
The ##”Cs”^+## ions are at the centre of the cube.
The unit cell extends through the whole crystal.
This animation shows the ##”CsCl”## lattice, the ##”Cs”## sublattice in blue, and the ##”Cl”## sublattice in brown.
##”NaCl”##, a face centred cube
The green ##”Cl”^-## ions occupy each corner and the centre of each face of the cube.
In the picture below, the ##”Na”^+## ions also occupy a face-centred cubic unit cell.
These unit cells extend through the whole crystal.
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