calculate the efficiency of packing in case of a metal crystal for
Answers
hey mate here is your answer-----------------
Q Calculate the efficiency of packing in case of a metal crystal for
a simple cubic
In a simple cubic lattice the atoms are located only on the corners of the cube.
Let take edge length or side of the cube = a,
Let take radius of each particles = r
The relation between radius and edge a
a = 2r
The volume of the cubic unit cell = side3
= a3
= (2r)3
= 8r3
Number of atoms in unit cell = 8 x 1 /8
= 1
The volume of the occupied space = (4/3)πr3
packing efficiency = vol. of 1 atom / vol. of cubic unit cell . 100%
=4 / 3 pi r3 / 8 r3 . 100
=pi / 6 . 100
=52.36%
=52.4%
hope it will help you :)