Match List I with List II. List I Unit Cell List II No. of atoms per unit cell (A) Simple (I) \(\frac{1}{8}\) x 8 + 0 + \(\frac{1}{2}\) x 2  (B) Face centered (II) \(\frac{1}{8}\) x 8 + 1 x 1 + 0 (C) Body centered (III) \(\frac{1}{8}\) x 8 + 0 + \(\frac{1}{2}\) x 6   (D) End face centered (IV) \(\frac{1}{8}\) x 8 + 0 + 0

(A)-(III), (B)-(IV), (C)-(II), (D)-(I) (A)-(IV), (B)-(III), (C)-(II), (D)-(I) (A)-(IV), (B)-(II), (C)-(III), (D)-(I) (A)-(I), (B)-(III), (C)-(II), (D)-(IV)

(A)-(IV), (B)-(III), (C)-(II), (D)-(I)

The correct answer is option 2. (A)-(IV), (B)-(III), (C)-(II), (D)-(I). List I Unit Cell List II No. of atoms per unit cell (A) Simple (IV) \(\frac{1}{8}\) x 8 + 0 + 0 (B) Face centered (III) \(\frac{1}{8}\) x 8 + 0 + \(\frac{1}{2}\) x 6  (C) Body centered (II) \(\frac{1}{8}\) x 8 + 1 x 1 + 0 (D) End face centered (I) \(\frac{1}{8}\) x 8 + 0 + \(\frac{1}{2}\) x 2   Unit Cell Number of atoms Total number of atoms per unit cell At corners At body center On faces 1. Simple \(\frac{1}{8}\) x 8 = 1 zero zero 1 + 0 + 0 = 1 2. Face centered \(\frac{1}{8}\) x 8 = 1 zero \(\frac{1}{2}\) x 6 = 3 1 + 0 + 3 = 4 3. Body centered \(\frac{1}{8}\) x 8 = 1 1 zero 1 + 1 + 0 = 2 4. End face centered \(\frac{1}{8}\) x 8 = 1 zero  \(\frac{1}{2}\) x 2 = 1 1 + 0 + 1 = 2