Question

Match the column I having type of lattice point and its contribution to one unit cell in column II and mark appropriate choice.

	Column I (Lattice point)		column II (Contribution to one unit cell)
(A)	Corner	(i)	1
(B)	Edge	(ii)	1/8
(C)	Face Cenre	(iii)	1/4
(D)	Body centre	(iv)	1/2

• A. (A) $\to$ (ii), (B) $\to$ (i), (C) $\to$ (iii), (D) $\to$(iv)
• B. (A) $\to$ (ii), (B) $\to$ (iii), (C) $\to$ (iv), (D) $\to$(i)
• C. (A) $\to$ (i), (B) $\to$ (ii), (C) $\to$ (iv), (D) $\to$ (iii)
• D. (A) $\to$ (iii), (B) $\to$ (iv), (C) $\to$ (D) (i), $\to$ (ii)

Answer 1

Answer: (B)

(A) $\to$ (ii), (B) $\to$ (iii), (C) $\to$ (iv), (D) $\to$(i)

Atoms present at a corner are shared by 8 unit cells. So, its contribution to unit cell is 1/8.

Atoms present at a edge of unit cell is shared by 4 unit cells. So, its contribution to unit cell is 1/4.

Atoms present at face centers are shared by 2 unit cells. So, its contribution to a unit cell is 1/2.

Atoms present at body is completely inside the cube. So, it is not shared by any other unit cell. So, it has full contribution to a unit cell.

Hence, correct answer is option B.