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Question: Answered & Verified by Expert
A compound $\mathrm{M}_{\mathrm{p}} \mathrm{X}_{\mathrm{q}}$ has cubic close packing (ccp) arrangement of $\mathrm{X}$. Its unit cell structure is shown below. The empirical formula of the compound is

ChemistrySolid StateJEE AdvancedJEE Advanced 2012 (Paper 1)
Options:
  • A $\mathrm{MX}$
  • B $\mathrm{MX}_{2}$
  • C $\mathrm{M}_{2} \mathrm{X}$
  • D $\mathrm{M}_{5} \mathrm{X}_{14}$
Solution:
2850 Upvotes Verified Answer
The correct answer is: $\mathrm{MX}_{2}$
No. of $M$ atoms $=\frac{1}{4} \times 4+1=1+1=2$

No. of $X$ atoms $=\frac{1}{2} \times 6+\frac{1}{8} \times 8=3+1=4$

So, formula $=M_{2} X_{4}=M X_{2}$

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