Answer:
[tex]LD=\dfrac{0.5}{ a}[/tex]
Explanation:
Given that
Unit cell is in FCC
Here given direction is not clear visible so we take direction [001].
We know that linear density(LD) given as
[tex]LD=\dfrac{Number\ of\ atoms\ in\ the\ direction\ vector}{d_{[001]}}[/tex]
So the number of atom will be 1/2 in direction [001]
In FCC
[tex]a=2\sqrt2 \ r[/tex]
[tex]LD=\dfrac{0.5}{ a}[/tex]
[tex]LD=\dfrac{1}{2\sqrt2 \ r}[/tex]
