Lesson Worksheet: Hole Geometries in Crystals Chemistry

In this worksheet, we will practice determining stoichiometries of atoms and ions in cubic lattices based on Bravais lattice type and hole occupancies.

Q1:

The radius of a cation in a cubic ionic lattice is 70% smaller than the radius of the anion. The charges of the cation and anion are equal in magnitude. What type of hole is the cation likely to occupy?

  • AOctahedral
  • BTetrahedral
  • CBoth octahedral and tetrahedral
  • DBoth octahedral and cubic
  • ECubic

Q2:

NaCl and ZnS both have face-centered cubic structures. Why do the sodium ions in NaCl have a higher coordination number than the zinc ions in ZnS?

  • ASodium ions occupy both tetrahedral and octahedral holes, as they are more similar in size to chloride ions than zinc ions are to sulfide ions.
  • BSodium ions occupy octahedral holes, as they are less similar in size to chloride ions than zinc ions are to sulfide ions.
  • CSodium ions occupy tetrahedral holes, as they are more similar in size to chloride ions than zinc ions are to sulfide ions.
  • DSodium ions occupy octahedral holes, as they are more similar in size to chloride ions than zinc ions are to sulfide ions.
  • ESodium ions occupy tetrahedral holes, as they are less similar in size to chloride ions than zinc ions are to sulfide ions.

Q3:

What type of hole do lithium ions occupy in the cubic lattice of LiSe2?

  • ACubic
  • BOctahedral
  • CTetrahedral
  • DBoth octahedral and tetrahedral
  • EBoth cubic and tetrahedral

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