Question

The unit cell of aluminium is a cube with an length of 405 pm. The density of aluminium is $2.70gcm^{- 3}.$ Whit is the structure of unit cell of aluminium?

• A. Body – centred cubic cell
• B. Face – centred cubic cell
• C. End – centred cubic cell
• D. Simple cubic cell

Answer 1

Answer: (B)

Face – centred cubic cell

Answer 2

$d = \frac{Z \times M}{N_{A} \times V} \Rightarrow 2.70 = \frac{Z \times 27}{6.023 \times 10^{23} \times (405 \times 10^{- 10})^{3}}$Z = 4

Hence, structure of aluminium unit cell is fcc of face – centred.