Question

What is the type of lattice structure of $NaCl$ ?

Answer 1

Hint : Rock salt also known as $NaCl$ is an ionic compound. It occurs naturally as white cubic crystals. The structure of $NaCl$ is formed by repeating the unit cell. It has an organized structure and has a 1:1 ratio of $\dfrac{{Na}}{{Cl}}$ .

Complete Step By Step Answer:
$N{a^ + }$ have an atomic radius of $102pm$ and $C{l^ - }$ has an atomic radius of $181pm$ . The chlorine ion has a larger atomic radius than sodium.
Only one ion of sodium gets attached to only one chlorine ion as we can see that both have the same charge but of opposite magnitude. There are four types of site: unique central position, face site, edge sites and corner sites, which are used to determine the number of $N{a^ + }$ & $C{l^ - }$ .
Lattice Structure is defined as the arrangement of array points for arrangement of particles so as to perform crystal and here a sodium chloride is crystal. There are three types of lattice types: -
Simple cubic- When metal atoms are arranged with the spheres in one layer directly above or below spheres in another layer, the structure called simple cubic.
Body centred- The body centred cubic structure can be formed if we place or add a lattice point at the centre of the cube.
Face centred cubic- The face centred cubic structure can be formed if we place or add a lattice point in the centre of the face of the cube.
Among these three, $NaCl$ belongs to the face centred cubic.
Face centred lattice structure exists in $NaCl$ .

Note :
If the radius of atoms is given in a question, then in that case you can use the radius and the diagonal of the square to calculate or predict the lattice types.