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A compound is formed by atoms of elements A occupying the corners of the unit cell and an atom of element B present at the center of the unit cell. Deduce the formula of the compound.
  • a)
    AB2
  • b)
    AB3
  • c)
    AB4
  • d)
    AB
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A compound is formed by atoms of elements A occupying the corners of t...
Explanation:

  • The compound is formed by atoms of element A occupying the corners of the unit cell and an atom of element B present at the center of the unit cell.

  • The unit cell of the compound is simple cubic.

  • Therefore, there are 8 corners in a unit cell and each corner is occupied by an atom of element A.

  • Each corner contributes 1/8th of an atom to the unit cell.

  • Thus, the contribution of element A to the unit cell is 8 x 1/8 = 1 atom.

  • There is one atom of element B present at the center of the unit cell.

  • Therefore, the formula of the compound is AB.


Thus, the correct answer is option D, AB.
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Community Answer
A compound is formed by atoms of elements A occupying the corners of t...
The description is of a BCC. For BCC, each atom at the corner is shared by 8 unit cells. One atom at the center wholly belongs to the corresponding unit cell.
Therefore, total number of atoms of A present= 1/8 x 8=1
Total number of atoms of B present=1
Therefore, A:B=1:1 implying the formula of the compound is AB.
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A compound is formed by atoms of elements A occupying the corners of the unit cell and an atom of element B present at the center of the unit cell. Deduce the formula of the compound.a)AB2b)AB3c)AB4d)ABCorrect answer is option 'D'. Can you explain this answer?
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