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An element has a face-centred cubic (fcc...

An element has a face-centred cubic (fcc) structure with a cell edge of a. The distance between the centres of two nearest tetrahedral voids in the lattice is:

A

1. `sqrt2a`

B

2. `(a)/(2)`

C

3. a

D

4. `(3)/(2)a`

Text Solution

Verified by Experts

The correct Answer is:
B
`cos theta=(1)/(sqrt3)`
The distance of corner atom to teat heel a void along diagonal `=(sqrt3a)/(4)`

Component along any side `=(sqrt3a)/(4)xx(1)/(sqrt3)=(a)/(4)`
`(a-(a)/(4)+(a)/(4))=(a)/(2)`
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