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  • The edge lengths of the unit cells in terms of the radius of spheres constituting fcc, bcc and simple cubic unit cell are respectively________

The edge lengths of the unit cells in terms of the radius of spheres constituting fcc, bcc and simple cubic unit cell are respectively________

(i) 2 \sqrt{2}r, \frac{4r}{\sqrt{3}}, 2r

(ii) \frac{4r}{\sqrt{3}}, 2\sqrt{2}r, 2r

(iii) 2r, 2\sqrt{2}r, \frac{4r}{\sqrt{3}}

(iv) 2r, \frac{4r}{\sqrt{3}}, 2\sqrt{2}r

Answers (1)

The answer is the option (i)  Distance between two atoms is always measured from their centres. (i) If the crystal lattice consists of SCC, the atom which is present at the comers touch each other

(ii) In case of FCC, atom present at the comer and the centre of the face touch each other.

(iii)In case of BCC atom present at the corner and center of the body touch each other

Edge length for fcc, bcc and scc type of unit cell are 2\sqrt{2} r ,\frac{4}{\sqrt{3}}r and 2r respectively.

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