CBSE Class 12-science Answered
HCP: 6 Packing Atoms; 6 Octahedral Holes; 12 Tetrahedral Holes
· Take sphere radius = r
· Work out number of spheres per unit cell. Volume of sphere = (4 π r3) / 3
· Volume occupied by spheres = number of spheres x (4 π r3) / 3
· Calculate volume of box
· Packing efficiency = Volume occupied by spheres / Volume of box
o Close Packing (12 fold co-ord) – 74% Packing efficiency
o Body-centred Cubic (BCC) Packing (8 fold co-ord) – 68% Packing efficiency
o Primitive Packing/Square Packing (6 fold co-ord) – 52% Packing efficiency
Examples of Structures:
CCP:
NaCl – CCP of Chloride ions with Sodium ions in 100% of OH. (also LiCl, RbI, AgCl)
CaF2 – CCP of Calcium ions with Fluoride ions in 100% of TH - Fluorite structure (also CaCl2)
Li2O – CCP of Oxygen ions with Lithium ions in 100% of TH - Anti-fluorite (also BaCl2)
ZnS (Zinc Blende) – CCP of Sulphide ions with zinc ions in 50% of TH. (also CuCl, AgI)
HCP:
NiAs – HCP of Arsenic ions with Nickel ions in 100% of OH.
ZnS (Wurtzite) – HCP of Sulphide ions with Zinc ions in 50% of TH.