Prepare for AP Chemistry Topic 2.3 with this free practice quiz. Test your understanding of crystal lattices, ionic radii, and cleavage planes to maximize your AP score.
The Pre-Quiz Review
Crystal Lattice
An ionic solid consists of positive ions (cations) and negative ions (anions) arranged in a repeating three-dimensional structure called a crystal lattice.
The lattice is held together by electrostatic attractions between oppositely charged ions. Each ion is surrounded by ions of the opposite charge, so the attraction is not limited to one cation-anion pair.
The strength of ionic interactions depends mainly on:
- Magnitude of ionic charges: higher charges produce stronger electrostatic attraction.
- Distance between ion centers: smaller ions allow ions to approach more closely, increasing attraction.
- Arrangement of ions: the three-dimensional lattice determines how many oppositely charged ions surround each ion and how efficiently the structure packs.
For ions with charges q₁ and q₂, electrostatic potential energy follows the relationship:
E ∝ q₁q₂/r
where r is the distance between the ion centers. For oppositely charged ions, the interaction is attractive.
This explains why MgO has much stronger ionic attractions than NaCl: Mg²⁺ and O²⁻ have larger charge magnitudes than Na⁺ and Cl⁻.
A crystal lattice must maintain overall electrical neutrality. The formula of an ionic compound represents the simplest whole-number ratio of ions that gives a neutral compound. For example:
- NaCl → 1 Na⁺ : 1 Cl⁻
- MgCl₂ → 1 Mg²⁺ : 2 Cl⁻
- Al₂O₃ → 2 Al³⁺ : 3 O²⁻
The formula does not represent discrete molecules of the compound. It represents the ratio of ions throughout the extended lattice.
Lattice Energy
Lattice energy describes the energy associated with separating or forming an ionic solid from its gaseous ions. AP Chemistry questions may use either convention, so always check how the term is defined in the question.
For the formation process:
gaseous ions → ionic solid
energy is released.
For the reverse process:
ionic solid → gaseous ions
energy is required.
Lattice energy becomes greater in magnitude when:
- Ion charges increase.
- Ionic radii decrease.
- The distance between oppositely charged ions decreases.
Thus, comparing compounds with similar structures:
MgO has a greater-magnitude lattice energy than NaF because the ions have higher charges.
For compounds with the same charges, smaller ions generally produce stronger attractions. LiF therefore has stronger ionic attractions than CsF because Li⁺ is much smaller than Cs⁺.
Lattice energy is related to, but not identical to, melting point, boiling point, and solubility. Stronger ionic attractions generally require more energy to disrupt the lattice, but physical properties depend on the entire structure and interactions involved.
Ionic Radii
Ionic radius is the effective size of an ion within a crystal structure.
Cations are smaller than their neutral atoms because losing electrons reduces electron-electron repulsion and may remove an entire outer energy level.
For example:
Na > Na⁺
Anions are larger than their neutral atoms because gaining electrons increases electron-electron repulsion.
For example:
Cl⁻ > Cl
Periodic Trends in Ionic Radius
For ions with the same charge type within a period, radius generally decreases from left to right as effective nuclear charge increases.
Down a group, ionic radius generally increases because additional principal energy levels are occupied.
Examples:
Li⁺ < Na⁺ < K⁺ < Rb⁺
F⁻ < Cl⁻ < Br⁻ < I⁻
Isoelectronic Ions
Isoelectronic ions have the same number of electrons.
For an isoelectronic series, ionic radius decreases as nuclear charge increases.
For example:
O²⁻, F⁻, Na⁺, Mg²⁺, Al³⁺
All have 10 electrons.
Their radii decrease in this order:
O²⁻ > F⁻ > Na⁺ > Mg²⁺ > Al³⁺
The nucleus with more protons attracts the same electron cloud more strongly.
This is a frequent basis for AP Chemistry comparison questions.
Ionic Size and Crystal Structure
Ionic radii influence how ions fit into a lattice. The relative sizes of cations and anions affect coordination and the geometry of the crystal structure.
A smaller cation can fit into spaces between larger anions. The ratio of cation radius to anion radius can therefore help determine the coordination environment in an ionic solid.
AP questions may provide ionic radii and ask you to compare structures or explain why changing one ion changes the arrangement.
When comparing ionic attraction, remember that the relevant distance is approximately related to the sum of the ionic radii:
r ≈ r₊ + r₋
Smaller ions generally permit a smaller separation between ion centers, increasing electrostatic attraction.
Cleavage Planes
Ionic crystals have ordered layers of ions. This regular structure produces characteristic planes along which the crystal can break, called cleavage planes.
A cleavage plane forms where shifting layers of ions causes ions with the same charge to become adjacent.
For example, consider two neighboring layers containing alternating cations and anions. If the layers shift slightly, a cation can be brought next to another cation, while an anion can be brought next to another anion.
Like charges repel strongly.
The resulting electrostatic repulsion can cause the crystal to split along a particular plane.
This explains why ionic solids are generally brittle rather than malleable.
The key structural sequence is:
- Ionic solid contains an ordered lattice.
- Mechanical force shifts layers.
- Like charges can become aligned.
- Strong electrostatic repulsion develops.
- The lattice fractures along a plane.
This is fundamentally different from metallic bonding. In metals, layers of atoms can shift while metallic bonding remains relatively intact because the valence electrons are delocalized. Ionic lattices do not have this same ability to accommodate layer movement.
Brittleness of Ionic Solids
Ionic solids are hard but brittle.
Their hardness results from strong electrostatic attractions throughout the crystal lattice. A significant amount of energy is required to disrupt the ordered structure.
Their brittleness results from the effect of shifting lattice layers. A small displacement can place ions of the same charge next to one another, producing strong repulsion and causing the crystal to fracture.
Therefore:
- Strong ionic attractions → rigid, hard structure.
- Layer displacement → like charges become adjacent.
- Like-charge repulsion → fracture.
When an AP question asks why an ionic solid shatters rather than bends, focus on the arrangement and movement of ions in the lattice.
Conductivity of Ionic Compounds
Electrical conductivity requires mobile charged particles.
In a solid ionic compound, the ions are present but fixed in their lattice positions. They cannot move freely through the crystal.
Therefore, a solid ionic compound generally does not conduct electricity.
When the ionic compound is melted, the lattice structure breaks down sufficiently for the ions to move. The ions can then transport charge through the liquid.
Therefore:
- Solid ionic compound → ions fixed → poor electrical conductor.
- Molten ionic compound → ions mobile → conducts electricity.
- Aqueous ionic solution → ions dispersed and mobile → conducts electricity.
The conductivity of an ionic solution depends on the presence and concentration of mobile ions.
For example:
NaCl(s) → poor conductor
NaCl(l) → conducts
NaCl(aq) → conducts
In aqueous solution, dissolved ions are hydrated by water molecules and can move independently through the solution.
Dissociation in Water
When a soluble ionic compound dissolves, its crystal lattice is disrupted and the ions become surrounded by water molecules.
For example:
NaCl(s) → Na⁺(aq) + Cl⁻(aq)
For MgCl₂:
MgCl₂(s) → Mg²⁺(aq) + 2Cl⁻(aq)
The ions, rather than intact NaCl or MgCl₂ molecules, are responsible for electrical conductivity.
The ability of an ionic compound to dissolve is determined by competition between ion-ion attractions in the lattice and ion-dipole attractions between the ions and water.
Water is polar. Its oxygen atom has a partial negative charge and its hydrogen atoms have partial positive charges.
Therefore:
- Cations are attracted to the oxygen end of water.
- Anions are attracted to the hydrogen end of water.
Dissolution is favorable when the interactions formed between ions and water sufficiently compensate for the energy required to separate the ions in the lattice.
Solubility and conductivity should therefore be treated as related but distinct properties. A substance must produce mobile charged particles to conduct, but the extent of conductivity depends on how many mobile ions are present and how freely they move.
Comparing Ionic Compounds
When comparing ionic solids, identify the variables that control electrostatic attraction.
For two compounds with similarly structured lattices:
- Higher ionic charges → stronger attraction.
- Smaller ionic radii → stronger attraction.
- Smaller ion-to-ion distance → stronger attraction.
For example:
NaCl contains Na⁺ and Cl⁻.
MgO contains Mg²⁺ and O²⁻.
Because MgO contains ions with charges of ±2, its electrostatic attractions are substantially stronger than those between Na⁺ and Cl⁻.
If the charges are the same, compare ion size.
For example:
LiF vs. CsF
Both contain +1 and −1 ions, so the smaller Li⁺ allows closer approach to F⁻. This produces stronger electrostatic attraction.
Reading Particle Diagrams
AP Chemistry questions frequently use particle diagrams to represent ionic solids.
When interpreting a diagram, look for:
- Alternating positive and negative ions.
- Repeating three-dimensional arrangement.
- Relative ion sizes.
- Displacement of lattice layers.
- Whether particles are fixed or mobile.
- Formation of separated ions in solution.
A regular repeating arrangement indicates a crystalline solid.
A diagram showing ions locked into fixed positions represents a solid ionic lattice.
A diagram showing separated ions moving through the sample can represent a molten ionic compound or an aqueous ionic solution, depending on the surrounding particles.
For cleavage questions, look specifically at what happens after layers shift. If like charges are brought into neighboring positions, repulsion increases and the crystal can fracture.
For conductivity questions, focus on particle mobility rather than simply asking whether ions are present. Ions exist in a solid ionic crystal, but they are not freely mobile.
AP Chemistry Comparison Framework
For most structure-of-ionic-solid questions, analyze the structure in this order:
- Identify the ions and their charges.
- Compare their ionic radii.
- Estimate the distance between ion centers.
- Compare electrostatic attraction.
- Relate the attraction to lattice stability or energy required to disrupt the structure.
- For conductivity, determine whether the ions are mobile.
- For brittleness, determine whether layer movement brings like charges together.
The central connection is:
ionic charge + ionic size → electrostatic attraction → lattice structure and stability → observable properties
Properties commonly connected to ionic structure include hardness, brittleness, melting point, lattice energy, and electrical conductivity under different physical conditions.