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explain the given answer of B,C and D. The crystal structure of barium titanate

ID: 519803 • Letter: E

Question

explain the given answer of B,C and D.

The crystal structure of barium titanate is shown below. (a) What is the empirical formula of the compound? In Z = 0, 1 there is a total of 1 oxygen atom and 1 barium atom. In Z = 1/2 there is a total of 2 oxygen atoms and 1 titanium atom Empirical formula: BaTiO_3 (b) which atoms (if any) are close packed? The pervoskite structure can be described as a close-packed structure of SrO_3 atoms, as these form the fcc lattice. (c) How many oxygen atoms coordinate (i) Ti^4+ and (ii) Ba^2+? 6 oxygen atoms coordinate the Ti^4+ and 12 oxygen atoms coordinate Ba^2+ (d) Why are the coordination numbers different? Each elements occupies different coordination sites, resulting in different coordination numbers.

Explanation / Answer

a) empirical formula of the compound

Ba4O, TiO4

b) Second atoms are closley packed because of FCC structure. The packing efficiency of FCC is 74 % .

c) 4, 4 atoms

d) The coordination numbers different because the configuration of atoms in both the structure are different different.