In the face-centred cubic lattice structure of gold the closest distance between gold atoms is (' a ' being the edge length of the cubic unit cell)

Question

In the face-centred cubic lattice structure of gold the closest distance between gold atoms is (' a ' being the edge length of the cubic unit cell) (A) a √2 (B) (a/√2) (C) (a/2 √2) (D) 2 √2 a

Tardigrade Admin · Accepted Answer

Closest distance between two gold atoms in fcc lattice of gold is (a/√2). This is the distance between the corner atom and the closest face centre atom.

Q. In the face-centred cubic lattice structure of gold the closest distance between gold atoms is (' $a$ ' being the edge length of the cubic unit cell)

$a 2$

$\frac{a}{2}$

$\frac{a}{2 2}$

$22 a$

Closest distance between two gold atoms in fcc lattice of gold is $\frac{a}{2}$ .
This is the distance between the corner atom and the closest face centre atom.

Q. In the face-centred cubic lattice structure of gold the closest distance between gold atoms is (' a ' being the edge length of the cubic unit cell)

a2​

2​a​

22​a​

22​a