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KVPY2020ChemistrySolid State

A compound is formed by two elements M and N . Element N forms hexagonal closed pack array with 2 / 3 of the octahedral holes occupied by M . The formula of the compound is:

Options

  1. AM 4   N 3
  2. BM 2   N 3
  3. CM 3   N 2
  4. DM 3   N 4

Correct answer

B. M 2   N 3

Step-by-step solution

Number of atoms of element ' N ' per unit cell = 6 Number of atoms of element M per unit cell = 2 3 (Number of octahedral voids per unit cell) = 2 3 × 6 = 4 M : N = 4 : 6 = 2 : 3 Formula is M 2   N 3

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