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A crystal is made of particle 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 the crystal would be –

Option: 1

XYZ2
 


Option: 2

X2YZ2


Option: 3

X8Y4Z5

 


Option: 4

X5Y4Z8


Answers (1)

best_answer

When all particles along the body diagonal are removed, these 2 X atoms from the corner are removed, one Y particle removed & 2 Z particles are removed.

Hence new arrangement, X particle 

\frac{1}{8}\times 6+\frac{1}{2}\times 6=\frac{15}{4}

Y particle = 4 -1=3

Z particle = 8 - 2=6

Hence formula =

X_{\frac{15}{4}}Y_{3}Z_{6}=X_{\frac{5}{4}}YZ_{6}=X_{5}Y_{4}Z_{8}

Correct option is 4.

Posted by

Suraj Bhandari

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