The GATE Grind

GATE 2021 MT – Question 63

Materials Science and Non-Metallic Materials · Crystal structures and bonding · 2 marks · Numerical answer

An interstitial atom just fits an octahedral void in BCC iron without distorting the structure. If iron’s atomic radius is 0.124 nm, the interstitial radius is ______ nm (three decimal places).

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: 0.017 to 0.023

Explanation

BCC host radius is R=√3a/4. The shorter octahedral-site distance to host centres is a/2, so r=a/2−R=(2/√3−1)R. With R=0.124 nm, r=0.01918 nm, rounding to **0.019 nm**.