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Ionic bonds result from the electrostatic attraction between oppositely charged ions formed when one atom transfers electrons to another.
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Ionic bonds form between metals with low ionization energy and nonmetals with high electron affinity. K (alkali metal) and Cl (halogen) form KCl, a classic ionic compound.
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Lattice energy is the energy released when one mole of an ionic solid forms from its gaseous ions, or equivalently the energy needed to separate one mole of the solid into gaseous ions.
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According to Coulomb's law, lattice energy is proportional to the product of the ionic charges (q1·q2) divided by the interionic distance (r). Higher charges and smaller radii both increase lattice energy.
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MgO has Mg²⁺ and O²⁻ ions with high charges and small radii, giving it a much larger lattice energy than compounds with +1/−1 charges such as NaCl, KCl, or NaF.
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Higher lattice energy correlates with higher melting points. MgO (2+/2− charges, small radii) has the highest lattice energy among the given options, so it melts at the highest temperature.
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The Born-Haber cycle applies Hess's law to calculate the lattice energy of an ionic compound from measurable quantities: sublimation, ionization, dissociation, electron affinity, and formation enthalpy.
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Ionic compounds conduct electricity when molten or dissolved (because ions are free to move), but not in the solid state (where ions are locked in the lattice).
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Water is a polar solvent with a high dielectric constant. Its partial charges stabilize both cations (via oxygen lone pairs) and anions (via hydrogen atoms), and the ion-dipole interactions overcome lattice energy.
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Ionization energy is the minimum energy required to remove the most loosely bound electron from an isolated gaseous atom.
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Electron affinity is the energy change (usually negative/released) when an electron is added to a neutral gaseous atom.
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The Born equation gives ΔG_hydration ∝ -z²/r, where z is the ion charge and r its radius. Smaller, highly charged ions are more strongly hydrated.
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Isoelectronic ions: N³⁻, O²⁻, F⁻, Na⁺, Mg²⁺, Al³⁺ all have 10 electrons. Higher positive charge pulls the electron cloud closer, so Al³⁺ has the smallest ionic radius.
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Ca forms Ca²⁺ and nitride is N³⁻. Charge balance requires 3 Ca²⁺ and 2 N³⁻ to give neutrality: Ca₃N₂.
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Ionic solids are typically hard and brittle, but they shatter (not deform) under stress because the ions are rigidly ordered. The claim that they deform easily is false.
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Solubility depends on the balance between the lattice energy (favoring the solid) and the hydration energies of the ions (favoring dissolution). When hydration dominates, the salt dissolves.
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Ionic character depends on electronegativity difference. CCl₄ is covalent (small ΔEN, nonpolar solvent-like properties). The others are predominantly ionic (metal + nonmetal).
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According to Coulomb's law (F ∝ q₁·q₂/r²), force is inversely related to the square of the distance between ions. Larger ions produce weaker ionic bonds.
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Large electronegativity differences (typically >1.7) favor electron transfer from a metal (low electronegativity) to a nonmetal (high electronegativity), producing ions.
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Solubility of alkaline earth sulfates decreases down the group (BeSO₄ > MgSO₄ > CaSO₄ > BaSO₄) because lattice energy decreases more slowly than hydration energy. MgSO₄ is much more soluble than BaSO₄.
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The Kapustinskii equation (like the Born-Landé equation) estimates lattice enthalpy from charges and ionic radii. The Born-Landé and Kapustinskii equations are standard textbook methods.
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Removing an electron from Na (ionization energy) and dissociating Cl₂ require energy. Sublimation of Na and ionization of Na are endothermic; Cl₂ bond breaking is endothermic; Cl electron affinity and lattice formation are exothermic.
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Ionic character correlates with electronegativity difference. Among these, KF has the largest ΔEN (K 0.82, F 3.98 → ΔEN ≈ 3.16), making it the most ionic.
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Fajans' rules: high cation charge, small cation size, and large anion size all favor polarization of the anion by the cation, giving more covalent character. LiI satisfies all three.
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Lattice energy ∝ (q₁q₂)/r. Al³⁺ and O²⁻ have the highest charges (3+/2−) and relatively small radii, so Al₂O₃ has exceptionally strong ionic bonding.