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Friday, April 19, 2019

CALCIUM FLORIDE (FLORITE) STRUCTURE:


The salient features of fluorite structure are:
(1)  The Ca+2 ions are arranged in ccp arrangement, i.e. these ions occupy all the corners and the centres of each face of the cube
(2)  The F ions occupy all the tetrahedral holes.
(3)  Since there are two tetrahedral holes for each Ca+2 ion and F- ions occupy all the tetrahedral holes, there will be two F- ions for each Ca+2 ions, thus the stoichiometry of the compound is 1:2.
(4) Each Ca+2 ion is surrounded by 8F- ions and each F- ions is surrounded by 4Ca+2 ions. The Coordination number of Ca+2 ion is eight and that of F- ion is four, this is called 8:4 Coordination.
 (5) Each unit cell has 4 calcium ions and 8 fluoride ions so formula of unit cell is Ca4F8 which is explained as  below
      No. of Ca+2 ions = 8(at corners)´1/8 + 6 (at face centres)´1/2
      No. of F ions = 8 (within the body)´1 = 8
      Thus the number of CaF2 units per unit cell is 4.
(6) Radius Ratio, packing efficiency ,void % and density:

Other examples: of structure are SrF2, BaCl2, BaF2, PbF2, CdF2, HgF2, CuF2, SrCl2, etc.

Wednesday, April 17, 2019

CAESIUM CHLORIDE (CsCl) STRUCTURE:


The caesium chloride crystal is composed of equal number of caesium (Cs+) and Chloride Cl- ions. The radii of two ions (Cs+ = 169 pm and Cl- = 181 pm) led to radius ratio of Cs+ to Cl- as 0.93 which suggest a body centred cubic structure having a cubic hole
The salient features of this structure are as follows:
(1)  The chloride ion form the simple cubic arrangement and the caesium ions occupy the cubic interstitial holes. In other words Cl- ions are at the corners of a cube whereas Cs+ ion is at the centre of the cube or vice versa
(2)  Each Cs+ ion is surrounded by 8 Cl- ions and each Cl- ion in surrounded by 8 Cs+ ions. Thus the Co – ordination number of each ion is eight. 
(3)  For exact fitting of Cs+ ions in the cubic voids the ratio r Cs+/rCl-  should be equal to 0.732. However, actually the ratio is slightly larger (0.93). Therefore packing of Cl- ions slightly open up to accommodate Cs+ ions.
(4)  The unit cell of caesium chloride has one Cs+ ion and one Cl- ion as calculated below
      No. of Cl- ion = 8(at corners) ´1/8 = 1
      No. of Cs+ ion = 1(at body centre)´1=1
      Thus, number of CsCl units per unit cell is 1
(5)  Relation between radius of cation and anion and edge length of the cube,
Effect of temperature on crystal structure:
Increase of temperature decreases the coordination of number, e.g. upon heating to
760 K, the CsCl type crystal structure having coordination 8:8 changed to NaCl type crystal structures having coordination 6:6.
Effect of pressure on crystal structure:
Increase of pressure increases the Co – ordination number during crystallization e.g. by applying pressure, the NaCl type crystal structure having 6:6 coordination number changes to CsCl type crystal having coordination number 8:8


Other common examples  of this type of structure are CsBr, CsI, TlCl, TlBr, TlI and TlCN
      Higher coordination number in CsCl(8:8) suggest that the caesium chloride lattice is more stable than the sodium chloride lattice in which Co – ordination number is 6:6. Actually the caesium chloride lattice is found to be 1% more stable than the sodium chloride lattice. Then the question arises why NaCl and other similar compounds do not have CsCl type
lattice – This is due to their smaller radius ratio. Any attempt to pack 8 anions around the relatively small cation (Li+, Na+, K+, Rb+) will produce a state in which negative ions will touch each other, sooner they approach a positive ion. This causes unstability to the lattice.   

THE WURTIZE STRUCTURES (ZnS):


It is an alternate form in which ZnS occurs in nature. The main features of this structure are
                                    A unit cell representation of wurtzite structure
(1) Sulphide ions have HCP arrangement and zinc ions occupy tetrahedral voids.
(2)  Only half the alternate tetrahedral voids are occupied by Zn+2 ions.
(3)  Coordinate no. of Zn+2 ions as well as S-2 ions is 4. Thus, this structure has 4 : 4 coordination.
(4)  No. of Zn+2 ions per unit cell: 
                                 = 4(within the unit cell) ´1 + 6(at edge centres) ´1/3  = 6
(5) No. of S-2 ions per unit cell =
                                 = 12(at corners) ´1/6 +2 (at face centres) ½ +3 (within the unit cell)1=6
                            Thus, there are 6 formula units per unit cell.