Copper has a face`-` centred cubic structure with a unit`-` cell edge length of `3.61Å`. What is the size of the largest atom which could fit into the intersectices of the copper lattice without distorting if ?

Options

A. `0.53Å`
B. `0.33Å`
C. `0.58Å`
D. `0.13Å`

Answer

1

Explanation

`r_("octahedral")=0.414R`
for FCC `4R=sqrt(2)a`
`R=(sqrt(2)a)/(4)`
`r=(0.414sqrt(2)a)/(4)=(0.414sqrt(2)xx3.61)/(4)=0.53Å`