written 6.2 years ago by | • modified 4.6 years ago |
- No. of atoms per unit cell.
- Co-ordination number.
- Nearest atomic distance.
- Atomic radius.
- APF.
written 6.2 years ago by | • modified 4.6 years ago |
written 6.2 years ago by |
:- This can be thought of as a combination of two FCC sublattice as if one FCC sublattice is translated along a body diagonal of the other sublattice through a distance √3a/4 from one of its corners. Therefore in addition to regular FCC atoms additional atoms, one on each of the four body diagonals are found in this structure. Two FCC sublattice can form the DC structure.
NUMBER OF ATOMS/ UNIT CELL(n):-
Total number of atoms/ unit cell = (1/8 ×8 corners)+(1/2 ×6 face corners)+(4× 1 on each body diagonal)
∴n=8
CO-ORDINATION NUMBER(N)
Every atom with co-ordination (a/4, a/4, a/4) has four nearest neighbour, one at the nearest corner and three at the face centres of the three adjacent faces passing through the nearest corner. For example, the atom A, J, K and L are the nearest neighbours of the additional atom P. the five atoms A, J, K and P from a tetrahedron
∴N=4
ATOMIC RADIUS (r):-
The distance between two nearest neighbours is
AP = (√3a)/4=2r
∴r= (√3a)/8
ATOMIC PACKING FACTOR(APF):-
APF= $ (8×4π/3(√3a/8 )^3)/a^3$ =0.34
Packing efficiency = 34%
Hence , it is a loosely packed structure. But as all the atoms are attached with covalent bonds this is a strong structure.
VOID SPACE:-
The void space in a DC unit cell is 66% of the entire cell structure.