Explain how much portin of an atom located at (a) corner and (b) body centre of a cubic unit cell is part of its neighouring unit cell.

Options

A. `1,(1)/(2)`
B. `(1)/(2),1`
C. `(1)/(8),1`
D. `(1)/(8),(1)/(2)`

Answer

C

Explanation

(i) A point laying at the corner of a unit cell is shared equally by eight unit cessl and therefore,
only one-eight `((1)/(8))` of each such point belongs to the given unit cell.
(ii) A body centred point belongs entirely to one unit cell since, it is not shared by any other unit cell .