A compound formed by the elements x and y crystallises in the cubic structure where y atoms are at the corner of the cube and x atoms are at the alternate edge centres
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The compound formed by elements X and Y crystallizes in cubic structure in which X atoms are at the corners of the cube and Y atoms are at the face centre . The formula of the compound is
(a)XY2(b)XY(c)XY3(d)X3Y
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A)
No. of X-atoms per unit cell = 88
=1
No. of Y-atoms per unit cell = 62
=3
Thus the formula is XY3
Hence answer is (c)
Answer:Atoms of Y occupy the corners of the cube.
=> Number of Y atoms in a unit cell = 8 x 1/8 = 1
The atom of X occupies the body centre.
=> Number of Y atoms in a unit cell = 1
Therefore, the ratio of the number of X atoms to the number of Y atoms;
X : Y = 1 : 1