A Crystal is made of particles X, Y and Z. X Forms FCC packing, Y occupies all octahedral voids of X and Z occupies all tetrahedral voids of X. If all the particles along one body diagonal are removed

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A Crystal is made of particles X, Y and Z. X Forms FCC packing, Y occupies all octahedral voids of X and Z occupies all tetrahedral voids of X. If all the particles along one body diagonal are removed, then the formula of crystal would be

TestHub · Accepted Answer

When all particles along body diagonal are removed, $2 X$ atoms from corner are removed one $Y$ particle removed and $2 Z$ particle removed
$X p a r t i c l e = \frac{1}{8} \times 6 + \frac{1}{2} \times 6 = \frac{15}{4}$
(Y particle $= 3$ , Z particle $= 6$ )
$∴ X_{\frac{15}{4}} Y_{3} Z_{6} = X_{5} Y_{4} Z_{8}$

Chemistry - Solid State Question with Solution | TestHub

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