Question

of the following crystal lattice one that has largest packing fraction is a.simple cubic b.body centre cubic c.simple tetragonal d.face centre cubic​

Answer 1

Answer:

9dyoy690₹,7_24%24%24%

Answer 2

Packing fraction of different crystal lattices

Explanation:

• Face centered cubic lattice (fcc) has the highest packing fraction and hence the highest packing efficiency. Therefore correct option is D.
• Packing fraction is defined as the fraction of total space present in a unit cell of a crystal lattice.
• It can be calculated by the formula :  Packing fraction = PF

PF =Volume occupied by constituent particles / Volume of a unit cell

• In a fcc lattice , 8 atoms are present at the 8 corners and one is located at the center of the cube. It has a packing efficiency of 74% which is the highest among the other lattices.
• For a simple cubic lattice , packing efficiency is 52.4% and that of a body centered cubic lattice , it is 68%. For  simple tetragonal lattice , packing fraction is lesser than 52%.