Question

explain in detail about the body-centred, face-centred and end-centred unit cells?

Answer 1

BCC:- a body centred cubic unit cell has an atom at each of its corner and also one atom at its body centre .total no. of atoms in bcc

1. 8 corners x 1/8 per corner atom= 8x 1/8 =1
2. 1 body center atom =1 x1 =1
3. Total no of atoms per unit cell = 2 atoms

FCC :- a face centred cubic unit cell contain atoms at all the corner and at the center of all the face of the cube . total no. of atoms in FCC

1. 8 corners x 1/8 per corner atom= 8x 1/8 =1
2. 6 face centred atom x ½ atom per unit cell = 3
3. Total no of atoms per unit cell = 4

End centred: -a end centered cubic unit cell contain atoms at all the corner and at the centers of the opposite faces .total no. of atoms inend centered cubic unit cell

1. 8 corners x 1/8 per corner atom= 8x 1/8 =1
2. 2 face centered atom x ½ atom per unit cell = 1
3. Total no of atoms per unit cell = 2