Silver iodide ( ) and silver chloride ( ) both crystallize in the same structure type…

CHEMISTRY · Multi-part · AP · Chemistry · Compound Structure and Properties · Compound Structure and Properties

Problem

Silver iodide (AgIAgI) and silver chloride (AgClAgCl) both crystallize in the same structure type at room temperature. A researcher prepares a mixed crystal AgCl0.70I0.30AgCl_{0.70}I_{0.30} by randomly substituting I−I^{-} ions for Cl−Cl^{-} ions in the anion lattice while keeping all Ag+Ag^{+} positions fully occupied. Six-coordinate ionic radii are given below. • Ag+Ag^{+} : 1.15 A˚1.15\,\text{\AA}  • Cl−Cl^{-} : 1.81 A˚1.81\,\text{\AA}  • I−I^{-} : 2.06 A˚2.06\,\text{\AA} (a) Using the difference in ionic radii, predict qualitatively whether the lattice energy per ion pair of AgCl0.70I0.30AgCl_{0.70}I_{0.30} is expected to be greater than, less than, or approximately equal to that of pure AgClAgCl. Provide a concise explanation. (b) Describe one structural or mechanical consequence (e.g., lattice strain, defect formation) that could arise from the partial substitution of the larger I−I^{-} ion and explain its origin. (c) The pure iodide AgIAgI undergoes a solid–solid phase transition to a highly conductive form at 147 °C. Predict, with justification, how introducing 30 mol % I−I^{-} into AgClAgCl might influence the temperature at which such a transition could occur in the mixed crystal.

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