Question

A crystal is formed by two elements x and y in cubic structure x atoms are at the corners of a cube while y atoms are at the face centre the formula of the compound is

Answer 1

Answer:

The formula is XY₄

Explanation:

Since the corner is shared by 8 unit cells,

Contribution of one unit cell with X at the corners is $\frac{X}{8}$

Similarly,  one face is shared by two unit cells.

Contribution of one unit cell with Y atom at the face centre is $\frac{Y}{2}$

Therefore, Formula will be,

X₂Y₈

XY₄

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Answer 2

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