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 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:
and both have face-centered cubic structures. Why do the sodium ions in have a higher coordination number than the zinc ions in ?
- 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 ?
- ACubic
- BOctahedral
- CTetrahedral
- DBoth octahedral and tetrahedral
- EBoth cubic and tetrahedral