A compound $\mathrm{M}_{\mathrm{p}} \mathrm{X}_{\mathrm{q}}$ has cubic close packing (ccp) arrangement of…

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
  1. $\mathrm{MX}$
  2. $\mathrm{MX}_{2}$
  3. $\mathrm{M}_{2} \mathrm{X}$
  4. $\mathrm{M}_{5} \mathrm{X}_{14}$

Solution

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 $=M_{2} X_{4}=M X_{2}$

Asked in: JEE Advanced 2012 (Paper 1)

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