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The compound formed by elements X and Y crystallizes in a cubic structure in which X atoms are at the corners of the cube and Y atoms are at the face centres. The formula of the compound is
  • a)
    XY₃
  • b)
    X₃Y
  • c)
    XY
  • d)
    XY₂
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The compound formed by elements X and Y crystallizes in a cubic struct...
X = 1/8 *number of corner atoms. X= 1/8 * 8. X = 1.
Y = 1/2 * number of faces. Y = 1/2 * 6. Y =3
therefore formula is X1Y3
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Community Answer
The compound formed by elements X and Y crystallizes in a cubic struct...
Explanation:

Cubic Structure:

A cubic structure is a type of crystal structure where the atoms or ions are arranged in a face-centered cubic (FCC) or body-centered cubic (BCC) arrangement. In a face-centered cubic (FCC) structure, the atoms are positioned at the corners and the face centers of the cube.

Given Information:

In the given compound, the element X is present at the corners of the cube and the element Y is present at the face centers.

Formula of the Compound:

The formula of the compound can be determined by counting the number of atoms of each element in the unit cell of the crystal structure.

Number of X atoms in the unit cell = 8 (corners of the cube)

Number of Y atoms in the unit cell = 6 (face centers of the cube)

Hence, the ratio of X to Y in the compound is 8:6 or 4:3.

The formula of the compound is represented as XY because X and Y are present in a 1:1 ratio in the compound.

Therefore, the correct answer is option A) XY.
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The compound formed by elements X and Y crystallizes in a cubic structure in which X atoms are at the corners of the cube and Y atoms are at the face centres. The formula of the compound isa)XYb)XYc)XYd)XYCorrect answer is option 'A'. Can you explain this answer?
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