Nickel crystallises in a fcc type of unit cell, with edge length $0.3524 \mathrm{~nm}$. Calculate the radius…

Nickel crystallises in a fcc type of unit cell, with edge length $0.3524 \mathrm{~nm}$. Calculate the radius of nickel atom.
  1. $0.1624 \mathrm{~nm}$
  2. $0.2164 \mathrm{~nm}$
  3. $0.1426 \mathrm{~nm}$
  4. $0.1246 \mathrm{~nm}$

Solution

For a fcc type of unit cell, $r=\frac{a}{2 \sqrt{2}}=\frac{0.3524 \mathrm{~nm}}{2.828}=0.1246 \mathrm{~nm}$

Asked in: MHT CET 2020 (13 Oct Shift 2)

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