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Copper has a face- centred cubic structu...

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 ?

A

`0.53Å`

B

`0.33Å`

C

`0.58Å`

D

`0.13Å`

Text Solution

Verified by Experts

The correct Answer is:
1
`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`
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