An element X (molar mass = 60 g mol-1) has a density of 6.23 g cm-3. Identify the type of cubic unit cell, if the edge length of the unit cell is 4× 10-8 cm.
Given-
• Molar mass= 60 g mol-1
• Density = 6.23 g cm-3
• edge length of the unit cell is 4× 10-8 cm.
Solution:
Mass of the atom in the unit cell, ![]()
Then, density of the unit cell = ![]()
= ![]()
d= ![]()
where z is the no. of atoms present in the unit cell, M is the molar mass of the element, a is the edge length of the cube and NA is the Avogadro number.
![]()
= 4
Since, there are 4 atoms present in the unit cell it is a fcc or ccp lattice.
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.

