IB CHEMISTRY • STRUCTURE: MODELS OF BONDING AND STRUCTURE

Understand The Ionic Model — Understand Structure 2.1—The ionic model

Explore how electrons transfer between atoms to form stable crystalline structures held together by electrostatic forces.

Historical Context & Motivation

For centuries, people observed that certain substances—like common table salt—behaved very differently from metals or gases. Salt dissolves easily in water, conducts electricity when melted, and forms beautifully regular cubic crystals. These observations raised a key question: what holds these substances together at the atomic level? The search for an answer led scientists to develop the ionic model, one of the most important concepts in chemistry for explaining how atoms bond by transferring electrons.

1807
Humphry Davy's Electrolysis Experiments
Davy used electric currents to decompose molten salts, isolating elements like sodium and potassium for the first time. This demonstrated that salts are made of charged components held together by electrical forces.
1884
Arrhenius and Electrolytic Dissociation
Svante Arrhenius proposed that salts break apart into charged particles (ions) when dissolved in water. His theory explained why salt solutions conduct electricity while solid salt does not.
1916
Lewis and Kossel's Electron Transfer Model
Gilbert Lewis and Walther Kossel independently proposed that ionic bonds form when one atom transfers electrons to another, creating oppositely charged ions. Both atoms achieve stable noble gas electron configurations.
1913–1914
X-Ray Crystallography Reveals Ion Arrangement
William Henry Bragg and William Lawrence Bragg used X-ray diffraction to determine the crystal structure of NaCl. They showed there are no discrete NaCl molecules—instead, the ions are arranged in a repeating three-dimensional lattice.
1918
Born–Landé Equation
Max Born and Alfred Landé developed a mathematical equation to calculate the energy holding an ionic lattice together, known as lattice energy. This quantified the strength of ionic bonding.

These discoveries collectively answered a fundamental question: why do certain elements combine so readily to form hard, crystalline solids with high melting points? The ionic model provides a clear, elegant answer—atoms transfer electrons to become ions, and the resulting electrostatic attraction organizes them into stable, repeating structures called ionic lattices.

Core Principles of the Ionic Model

The ionic model is built on a few key ideas about how atoms interact. When a metal atom meets a non-metal atom, the difference in their tendency to attract electrons is large enough that one atom gives up electrons entirely, while the other accepts them. This creates charged particles called ions, and the electrostatic attraction between these oppositely charged ions is what we call an ionic bond.

1

Electron Transfer

Metals lose their valence electrons to become positively charged cations. Non-metals gain electrons to become negatively charged anions. Both ions achieve stable noble gas electron configurations.
2

Electrostatic Attraction

Oppositely charged ions are attracted to each other by Coulomb's law. The force of attraction depends on the magnitude of the charges and the distance between the ions.
3

Lattice Formation

Ions do not pair up as isolated molecules. Instead, each ion is surrounded by multiple ions of opposite charge, forming a giant three-dimensional repeating structure called an ionic lattice.
4

Lattice Energy

The energy released when gaseous ions come together to form a solid lattice is called lattice energy. Higher charges and smaller ionic radii result in greater lattice energy and stronger ionic bonds.
5

Electronegativity Difference

Ionic bonding typically occurs when the electronegativity difference between two atoms is greater than about 1.7 on the Pauling scale. This ensures one atom strongly pulls electrons away from the other.
KEY TAKEAWAY
Think of ionic bonding like a transaction at a store. A metal atom "pays" its valence electrons to a non-metal atom—the metal ends up with a positive balance (cation) and the non-metal ends up with a negative balance (anion). Once the transaction is complete, the two are bound together by the attraction between their opposite charges. In a crystal, millions of these transactions create a massive, organized network, much like how a city block is made of many connected buildings rather than isolated houses.

Visualizing Electron Transfer and Ionic Bonding

The diagram below shows how a sodium atom (Na) transfers its single valence electron to a chlorine atom (Cl) to form the ionic compound sodium chloride (NaCl). Notice how sodium's electron configuration changes from 2, 8, 1 to 2, 8 (like neon), while chlorine's changes from 2, 8, 7 to 2, 8, 8 (like argon). Both ions now have complete outer shells, making them more stable.

Sodium loses one electron (gold dot) to chlorine, forming Na+ and Cl. Both ions achieve noble gas configurations (neon for Na+, argon for Cl).

In the diagram above, the sodium atom starts with 11 electrons arranged as 2, 8, 1. That lone valence electron sits in the outermost shell and requires relatively little energy to remove. Chlorine, on the other hand, has 17 electrons in a 2, 8, 7 arrangement—it needs just one more electron to complete its outer shell. When sodium gives its electron to chlorine, both ions achieve the stable electron configuration of a noble gas. The Na+ cation is now smaller than the original atom because there are fewer electrons being held by the same nuclear charge. The Cl anion is larger because the extra electron increases electron-electron repulsion.

Mathematical Framework: Coulomb's Law and Lattice Energy

The strength of the electrostatic attraction between ions can be understood quantitatively using Coulomb's law. This equation tells us that the force between two charged particles depends on the size of their charges and how far apart they are. In ionic compounds, this translates directly to the concept of lattice energy—the total energy holding the entire crystal together.

COULOMB'S LAW (ELECTROSTATIC FORCE)
F = k × (q₁ × q₂) / r²
F = electrostatic force between ions (N); k = Coulomb's constant (8.99 × 10⁹ N·m²·C⁻²); q₁, q₂ = charges of the two ions (C); r = distance between ion centres (m). The force is proportional to the product of the charges and inversely proportional to the square of the distance.

From Coulomb's law, we can draw two crucial conclusions about ionic bonding. First, higher ionic charges produce stronger attraction. For example, Mg2+O2− has much stronger ionic bonds than Na+Cl because the charges are ±2 rather than ±1. Second, smaller ions pack more closely together, reducing the distance r and further increasing the force.

LATTICE ENERGY TREND
Lattice Energy ∝ (q⁺ × q⁻) / (r⁺ + r⁻)
q⁺ = charge on the cation; q⁻ = charge on the anion; r⁺ + r⁻ = sum of ionic radii (the interionic distance). This proportionality helps you predict which ionic compounds will have the highest melting points and strongest bonds.
💡 IB Exam Tip
You are not expected to calculate lattice energy numerically in IB Chemistry. However, you must be able to compare lattice energies and explain trends. Remember: higher charge and smaller radius both increase lattice energy. This directly explains differences in melting points among ionic compounds.

The Ionic Lattice and Physical Properties

Unlike molecular compounds where discrete molecules exist, ionic compounds form giant lattice structures. In sodium chloride, for instance, each Na+ ion is surrounded by six Cl ions, and each Cl ion is surrounded by six Na+ ions. This arrangement is called a coordination number of 6. The pattern repeats in all three dimensions, creating the characteristic cubic shape of salt crystals.

A 2D cross-section of the NaCl lattice. Each Na+ (blue, smaller) is surrounded by Cl (green, larger) ions and vice versa. The alternating pattern extends in all three dimensions.

Physical Properties Explained by the Ionic Model

Key physical properties of ionic compounds and their explanations
PropertyObservationExplanation from Ionic Model
High melting & boiling pointsNaCl melts at 801 °C; MgO melts at 2852 °CStrong electrostatic forces between many ions in the lattice require a lot of energy to overcome.
BrittlenessIonic crystals shatter when struck rather than bendingWhen layers shift, like-charged ions become aligned, causing strong repulsion that splits the crystal apart.
Electrical conductivitySolids do not conduct; molten or dissolved forms doIons are locked in fixed positions in the solid. When melted or dissolved, ions become free to move and carry charge.
Solubility in waterMany ionic compounds dissolve in polar solvents like waterPolar water molecules surround and stabilize individual ions (hydration), pulling them out of the lattice.

Worked Example: Comparing Ionic Compounds

Let's work through a typical IB-style question that asks you to compare the melting points of ionic compounds using the ionic model.

Which has a higher melting point: NaCl or MgO? Explain using the ionic model.
1
Step 1 — Identify the ions and their chargesNaCl consists of Na+ (1+ charge) and Cl (1− charge). MgO consists of Mg2+ (2+ charge) and O2− (2− charge).
MgO has higher charges: ±2 vs. ±1
2
Step 2 — Compare ionic radiiMg2+ has an ionic radius of 72 pm, which is smaller than Na+ at 102 pm. O2− has an ionic radius of 140 pm, which is smaller than Cl at 181 pm. The ions in MgO are closer together.
MgO has smaller interionic distance
3
Step 3 — Apply the lattice energy relationshipLattice energy is proportional to (q+ × q) / (r+ + r). For NaCl: (1 × 1) / (102 + 181) = 1/283. For MgO: (2 × 2) / (72 + 140) = 4/212. Since 4/212 ≈ 0.019 is much larger than 1/283 ≈ 0.0035, MgO has significantly greater lattice energy.
MgO lattice energy ratio ≈ 5.3 × that of NaCl
4
Step 4 — State the conclusionMgO has a much higher melting point (2852 °C) than NaCl (801 °C). Both the higher ionic charges and the smaller ionic radii in MgO contribute to stronger electrostatic forces within the lattice, meaning more energy is required to break it apart.
MgO has the higher melting point due to higher charges and smaller ions.

Strengths and Limitations of the Ionic Model

The ionic model is a powerful tool for explaining many observations about ionic compounds. However, like all models in science, it has limitations. Understanding both its strengths and weaknesses will help you apply it correctly on the IB exam and recognize when a more nuanced picture is needed.

Strengths and limitations of the ionic model
StrengthsLimitations
Accurately predicts high melting and boiling points of ionic compoundsAssumes complete electron transfer, but in reality bonding has some degree of covalent character (electron sharing)
Explains electrical conductivity differences between solid, molten, and dissolved statesDoes not explain why some ionic compounds are coloured (e.g., CuSO₄ is blue) — this requires crystal field theory
Correctly predicts trends in lattice energy based on charge and sizeTreats ions as perfect spheres with uniform charge, which is an oversimplification — real ions can be polarized
Explains brittleness through the repulsion of like charges when layers shiftCannot easily predict solubility — many factors (hydration energy, entropy) determine whether an ionic compound dissolves
KEY TAKEAWAY
The ionic model is like a road map — it gives you an accurate overall picture of the landscape and lets you navigate from one point to another, but it doesn't show every detail of the terrain. For most IB questions, the ionic model provides everything you need. Just remember that real bonding exists on a spectrum, and some compounds labelled 'ionic' have partial covalent character, especially when small, highly charged cations polarize large anions.

Connection to Advanced Theory: Polarization and Fajans' Rules

The simple ionic model treats bonding as purely electrostatic between spherical ions. In reality, a small, highly charged cation can distort (polarize) the electron cloud of a large anion, introducing some covalent character into the bond. This concept is described by Fajans' rules, which you may encounter in higher-level chemistry courses.

Pure ionic model vs. polarization effects
FeaturePure Ionic ModelWith Polarization (Fajans' Rules)
Electron distributionComplete transfer; ions are perfect spheresPartial sharing; electron cloud of anion is distorted toward cation
When it appliesLarge cation + small anion with low charges (e.g., NaCl, KBr)Small cation + large anion with high charges (e.g., AlCl₃, LiI)
Predicted propertiesVery high melting point; fully soluble in waterLower melting point than expected; may be less soluble; may show molecular properties
IB relevanceCore model tested in all ionic bonding questionsHigher Level topic — explains deviations from the pure ionic model

Understanding polarization helps explain why some compounds we might expect to be fully ionic actually show some covalent behaviour. For example, aluminium chloride (AlCl3) might seem ionic based on the metal-nonmetal combination, but the small, highly charged Al3+ ion polarizes the larger Cl ions so much that AlCl3 actually behaves more like a covalent compound, with a relatively low melting point of 192 °C.

Practice Problems

PROBLEM 1CONCEPTUAL
Explain why sodium chloride (NaCl) does not conduct electricity as a solid but does conduct when dissolved in water.
PROBLEM 2BASIC CALCULATION
Draw a dot-and-cross diagram to show the formation of magnesium oxide (MgO) from magnesium and oxygen atoms. State the electron configuration of each ion formed.
PROBLEM 3INTERMEDIATE
Arrange the following ionic compounds in order of increasing melting point and justify your ranking: NaF, NaCl, MgO.
PROBLEM 4APPLIED
A student is trying to decide whether to use NaCl or CaCl₂ to de-ice a frozen pavement. Considering the ionic model, which compound would produce more ions per formula unit when dissolved, and why might this matter for lowering the freezing point of water?
PROBLEM 5CRITICAL THINKING
Lithium iodide (LiI) has a melting point of only 469 °C, which is surprisingly low for an ionic compound. Using your knowledge of the ionic model and its limitations, explain why the simple ionic model fails to accurately predict the properties of LiI.

Lesson Summary

The ionic model explains how metals transfer electrons to non-metals, forming positively charged cations and negatively charged anions. These oppositely charged ions are held together by electrostatic attraction and arrange themselves into giant three-dimensional ionic lattices. The strength of these interactions, quantified by lattice energy, increases with higher ionic charges and smaller ionic radii, as described by Coulomb's law.

The ionic model successfully explains key physical properties of ionic compounds: high melting points (strong lattice forces), brittleness (like-charge repulsion when layers shift), electrical conductivity when molten or dissolved (free-moving ions), and solubility in polar solvents (hydration of ions). However, the model has limitations — it assumes complete electron transfer and treats ions as perfect spheres. In reality, small highly charged cations can polarize large anions, introducing covalent character and placing real bonding on a continuum between ionic and covalent.

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