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KCET2017ChemistrySolid State

In a face centred cubic arrangement of ( A ) and ( B ) atoms in which 'A' atoms are at the corners of the unit cell and 'B' atoms are at the face centers. One of the 'A' atom is missing from one corner in unit cell.the simplest formula of the compound is

Options

  1. A( A₇ B₂₄ )
  2. B( A₇ B₈ )
  3. C( A B₃ )
  4. D( A₇ B₃ )

Correct answer

A. ( A₇ B₂₄ )

Step-by-step solution

In the given crystal lattice, Atoms of ( A=7 1 8 = 7 8 ) Atom of ( B=6 1 2 =3 ) Therefore, the formula is ( A _ 7 / 8 ~B ₃ ) or ( A ₇ ~B ₂₄ )

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