Or a metal that has the body-centered cubic crystal structure, calculate the atomic radius if the metal has a density of 7.25 g/cm3 and an atomic weight of 50.99 g/mol.

The density of a unit cell lattice is calculated using the following formula:

...... (1)

Here, is density, m is molar mass or atomic weight, n is number of atoms per unit cell, a is edge length and is Avogadro's number.

For a body centered cubic lattice, number of atoms per unit cell is 2 and relation between edge length a and radius of atom r is as follows:

...... (2)

Here, r is atomic radius and a is edge length.

Calculate edge length by rearranging equation (1) as follows:

Density of metal is and molar mass is 50.99 g/mol, putting the values,

Therefore, edge length is , putting the value in equation (2) to calculate atomic radius.

Therefore, atomic radius will be .

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