JEE Advanced · 2012 · 08 Apr 2012 · Paper 1 · Solid State

A compound

M_{p} X_{q}

has cubic close packing (ccp) arrangement of X. Its unit cell structure is shown below. The empirical formula of the compound is

(A)MX
(B) $MX_{2}$ ✓ Correct
(C) $M_{2} X$
(D) $M_{5} X_{14}$

Answer: (B)

Solution

From the unit cell structure: X atoms are at corners (8 × 1/8 = 1) and face centers (6 × 1/2 = 3), giving a total of X = 1 + 3 = 4. M atoms are at edge centers (4 × 1/4 = 1) and body center (1), giving a total of M = 1 + 1 = 2. The unit cell formula is

M_{2} X_{4}

, which simplifies to the empirical formula

MX_{2}

JEE Advanced · 2012 · 08 Apr 2012 · Paper 1 · Single correct option

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