Question

Fraction of total volume occupied by atoms in a simple cube is

Answer 1

Answer:

0.524 or 52.4% of total volume is occupied by atoms

Answer 2

In the simple cube, no. of atoms/unit cell

       = 8 × 1/8 = 1

Volume of the atom = 4/3 πr³

Volume of the cube = a³ = (2 r)³ = 8 r³     (∵ a = 2r)

   Fractional occupied = 4/3 πr³ / 8r³

          = π/6

Hope it helps you !!