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AP EAMCET20227 Jul 2022Morning ShiftChemistrySolid StateActual

A cubic lattice has A atoms at the body centre, B atoms at the corners, C atoms at half of the face centres. The formula of the lattice is

Options

  1. AA B C₂
  2. BA B₂ C₄
  3. CA₂ B₂ C₃
  4. DA B C₃

Correct answer

C. A₂ B₂ C₃

Step-by-step solution

A atoms are present at body centre. Number of atoms =1 Contribution of body centre =1 Effective number of atoms A=1 1=1B atoms are present at cornres. Number of atoms at cornres =8 Contribution of corner = 1 8 Effective number of B=8 1 8 =1C atoms are present at half of face centres. Number of atoms = 6 2 =3 Contribution of face center = 1 2 Effective number of C=3 1 2 = 3 2 Hence, formula of the lattice as : A₁ B₁ C_ 3 2 or A₂ B₂ C₃

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