Asked in Premeth Test 19 — SolidsModerate

A compound formed by elements A and B has a cubic structure in which A atoms are at the corners of the cube and B atoms are at the face centres. The formula of the compound will be:

Correct answer: C. AB3

  • A. A4B3
  • B. A2B
  • C. AB3
  • D. A2B3

Explanation

This is the following solution:A atoms at corners:Each corner atom is shared by 8 unit cells → contribution per unit cell = 1/8Number of corners = 8Total A atoms per unit cell = 8 × (1/8) = 1B atoms at face centers:Each face atom is shared by 2 unit cells → contribution per unit cell = 1/2Number of faces = 6Total B atoms per unit cell = 6 × (1/2) = 3

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