Question

How many atoms does an end-centered cubic lattice have?

Answer 1

End Face-Centred Cubic Lattice: In each end centered unit cell, there are 8 atoms at the eight corners of the cube, and one atom each is present at the centre of any two opposite faces.

No of atoms present per unit cell = (8 x 1/8 ) + (2 x 1/2) = 2

No.atoms per unit cell (Z):

Type of unit cell	No. of atomsAt corners	No. of atoms In faces	No. of atoms At the center	Total
Simple Cubic	8 x 1/8 = 1	0	0	1
Body Centered Cubic(B.C.C)	8 x 1/8 = 1	0	1	2
Face Centered Cubic(F.C.C)	8 x 1/8 = 1	6 x 1/2 = 3	0	4
End Centred Cubic	8 x 1/8 = 1	2 x 1/2 = 1	0	2

No. of atoms in a Unit Cell