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A uniform cylindrical polymer molecules crystallised in body centre cubic array. Determine the packing fraction of this polymer is solid state assuming that molecules are in their closest contact

A uniform cylindrical polymer molecules crystallised in body centre cubic array. Determine the packing fraction of this polymer is solid state assuming that molecules are in their closest contact 
 

Grade:12

1 Answers

Pooja
127 Points
2 years ago
BCC contains 2 atoms in total
1 in centre and 1/8 part of each atom in 8 corners
 
The relation between radius of atom and length of cube is 4r = (3)1/2a
So r/a = (3)1/2/4
 
Packing fraction of bcc is given as
Volume of atoms  ÷  Volume of cube
= 2 × 4/3 × π × r3  ÷  a3
= 8/3 × 22/7 × {(3)1/2/4}3
=0.68 
 
 

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