The number of atoms in one of this hcp unit cell is

Question

The number of atoms in one of this hcp unit cell is (A) 4 (B) 6 (C) 12 (D) 17

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/chemistry/1a4f1a17511ca521836ca5b6723ce255-.png" /> A hcp unit cell Contribution of atoms from corner =1 / 6 Contribution from face centre =1 / 2 ⇒ Total number of atoms per unit cell =12 × (1/6)+2 × (1/2)+3 =6

Q. The number of atoms in one of this hcp unit cell is

4

6

12

17

A hcp unit cell
Contribution of atoms from corner $= 1/6$
Contribution from face centre $= 1/2$
$\Rightarrow$ Total number of atoms per unit cell $= 12 \times \frac{1}{6} + 2 \times \frac{1}{2} + 3$
$= 6$

Q. The number of atoms in one of this hcp unit cell is

4

6

12

17

A hcp unit cell Contribution of atoms from corner =1/6 Contribution from face centre =1/2 ⇒ Total number of atoms per unit cell =12×61​+2×21​+3 =6

A hcp unit cell
Contribution of atoms from corner $= 1/6$
Contribution from face centre $= 1/2$
$\Rightarrow$ Total number of atoms per unit cell $= 12 \times \frac{1}{6} + 2 \times \frac{1}{2} + 3$
$= 6$