1.48 Aluminium crystallises in a cubic close-packed structure. Its metallic radius is 125 pm. (i) What is the length of the side of the unit cell? (ii) How many unit cells are there in 1.00 cm^3 of aluminium?
1.48 Aluminium crystallises in a cubic close-packed structure. Its metallic radius is 125 pm. (i) What is the length of the side of the unit cell? (ii) How many unit cells are there in 1.00 cm^3 of aluminium?
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1 Answer
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1.48 It is given that aluminum crystallises in a cubic closed packed structure.
Its metallic radius is 125 pm.For cubic close-packed structure
a=2√2r=2√2×125=354 pm
Here, a is the edge length of the unit cell and r is the atomic radius.
(ii) Volume of one unit cell = a3 =(354 pm)3=4.4×10−23cm3(1 pm=10−10cm)
Number of unit cells in 1.00cm3= 1.00 cm3 / 4.4×10-23 cm3
= 2.27×1022
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