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0 votes
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in Solid State by (47.5k points)

Which is the packing fraction in simple cubic unit cell? 

(a) 52.31% 

(b) 100% 

(c) 68% 

(d) 75%

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2 Answers

0 votes
by (34.6k points) 1 flag

52.3 1% is the packing fraction in simple cubic unit cell.

0 votes
by (393 points)

The edge length or side of the cube be 'a', and the radius of each particle be 'r'.

a=2r

The volume of cube =a3

(2r)3=8r3

In a simple cube, each unit cell has only one sphere,
The volume of sphere =4 πr3/3

Packing efficiency=Volume if a sphere*100%/Volume of the cube

4/3​πr3×100/8r3=52.4%

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