Chemistry, asked by jithinjoseph9021, 7 months ago

Give the unit cell calculation of SC

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Answered by nivyathakk
0

Answer:

In a simple cubic unit cell, two atoms touch along the edge of the unit cell.

For a simple cubic cell, the relationship between the edge length a and the radius r is a=2r

The volume of the unit cell V=a^  3 =(2r)  ^3 =8r^3

 Each simple cubic cell contains eight atoms present at eight corners.  Each atom contributes one eight to the unit cell. Hence, the number of atoms present in one unit cell =8×1/8  =1

The volume occupied by one atom in unit cell =   4 /3πr^3

Packing efficiency=  volume of unit cell /Volume occupied by one atom  ×100

Packing efficiency=  (4/3 πr^3) /8r^3   ×100

Packing efficiency=52.4%.

Hence, the percentage efficiency of packing in the case of a simple cubic cell is 52.4 %.

Explanation:

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