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Diamond has face-centred cubic lattice. ...

Diamond has face-centred cubic lattice. There are two atoms at `(0, 0, 0)` and `((a)/(4), (a)/(4), (a)/(4))` coordinates. The ratio of the carbon-carbon bond distance to the edge of the unit cell is

A

`sqrt((3)/(16))`

B

`sqrt((1)/(4))`

C

`(1)/(4)`

D

`(1)/(sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
A
a. Distance between `(0, 0, 0)` and `((a)/(4), (a)/(4), (a)/(4)) = 2r`
`implies 2r = (sqrt3a)/(4)`
`implies (2r)/(a) = sqrt((3)/(16))`, where `2r =` bond distance
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