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A compound formed by the elements X and Y has a cubic structure in which X atoms are at the corners of the cube and Y atoms are at the face centres. One atom X is missing from the corner. Calculate the formula of the compound.

Option: 1


Option: 2


Option: 3


Option: 4


Answers (1)


Since one X atom is missing

Thus, the number of effective X atoms

= 7 corners x 1/8 per corner atom share  

=   \frac{7}{8} atoms/unit cell


Again, number of Y atoms

= 6 faces x 1/2 per face atom share      

= 3 atoms/unit cell


Since the formula of the compound is equal to the number of X atoms and Y atoms.

Thus, the formula of the compound is  X_\frac{7}{8}Y_3

Hence, on simplification, we have  X_7Y_2_4 
Therefore, ?Option(2) is correct 

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