How to calculate Daimand packing efficiency

Share

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

Please briefly explain why you feel this question should be reported.

Please briefly explain why you feel this answer should be reported.

Please briefly explain why you feel this user should be reported.

In Diamond Cubic Packing, we have: 4 atoms at tetrahedral voids with its contribution of 1 atom per unit cell (1 x 4 = 4), 6 atoms at Face center with its contribution as 1/2 per unit cell (1/2 x 6 = 3), 8 atoms at Corners with its contribution as 1/8 per unit cell (1/8 x 8 = 1). So, number of atomsRead more

In Diamond Cubic Packing, we have:

4 atomsattetrahedral voidswith its contribution of 1 atom per unit cell(1 x 4 =

4),6 atomsatFace centerwith its contribution as 1/2 per unit cell(1/2 x 6 =

3),8 atomsatCornerswith its contribution as 1/8 per unit cell (1/8 x 8 =1).So, number of atoms per unit cell (

n)= 4 + 3 + 1 = 8Now,

Atomic Packing Factor (A.P.F) =

{n x (Total volume of atom in a unit cell)}/{Volume of unit cell}= {8 x (4/3) x 3.141 x (R^3)}/

a^3Here,

a(Edge Length) = 8R/(3)^1/2 = 8R/root(3).= ((3)^1/2) x 3.141 / 16 = 0.34

Therefore,

See lessAPF = 0.34

Packing efficiencywill be (0.34 x 100) =34%