A solid compound is formed by atoms of A (cations), B (cations) and O (anions). Atoms of O form hcp lattice. Atoms of A occupy 25 % of tetrahedral holes and atoms of B occupy 50 % octahedral holes. What is the molecular formula of solid?

Step-by-step solution

A =25 % Tetrahedral holes No. of Tetrahedral voids in a Lattice =1225 % Tetrahedral holes = 25 100 12=3 B =50 % Octahedral holes No. of Octahedral voids in a Lattice =650 % Octahedral voids = 50 100 6=3 O is hcp Lattice. The no. of voids in hcp is 6 . The molecular formula is A ₃ ~B ₃ O ₆ ABO ₂