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in Solid State by (61.2k points)

Aluminium crystallises in a cubic close packed structure. Its metallic radius is 125pm.
(i) What is the length of the edge of the unit cell?
(ii) How many unit cells are there in 1.00 cm of aluminium?

1 Answer

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Best answer

(i) ccp = fcc
For fcc, a = 2√2r
= 2 x 1.414 x 125 pm
= 353.5 pm
(ii) Volume of one unit cell = (a)3
= (3.535 x 10-8 cm)3
= 442 x 10-25cm
442 x 10-25cm = Volume of one unit cell

= 2.26 x 1022 unit cells

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