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  • A compound formed by 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. Calculate the formula of the compound. <div

A compound formed by 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. Calculate the formula of the compound. 

Option: 1

XY3


Option: 2

XY2


Option: 3

XY


Option: 4

X2Y3


Answers (1)

best_answer

We have:

Number of effective X atoms = 8 corners x 1/8 per corner atom share

                                              = 1 atom/unit cell

Number of effective Y atoms = 6 face centers x 1/2 per face atom share

                                              = 3 atoms/unit cell

Thus,  Z_{eff}=1+3+4

Now, the formula of the compound is given as:

Number of X atoms =1 and Number of Y atoms =3 

Thus, the formula of the compound =XY_3 
 
Therefore, ?Option(1) is correct 

Posted by

Rakesh

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