3. Chemical bonding

Syllabus
9701–2028–2029
Section
3
Level
AS

3.1 Electronegativity and bonding

Syllabus
9701–2028–2029
Topic
3.1
Level
AS

Electronegativity measures how strongly an atom attracts bonding electrons

Electronegativity is the power of an atom to attract the bonding pair of electrons towards itself in a covalent bond. It is a comparative property of bonded atoms, not the charge on an isolated ion and not the energy needed to remove an electron.

When two bonded atoms have different electronegativities, the bonding electrons are attracted more strongly towards the atom with the higher value. This unequal attraction can make the bond polar; similar values indicate more equal sharing.

Use electronegativity to describe the direction and relative strength of attraction within a bond. Periodic trends and the factors that cause them belong to the neighbouring objectives; numerical differences used to predict ionic or covalent bonding also belong to the later application card.

Do not treat electronegativity as a fixed whole-atom charge, confuse it with first ionisation energy, or infer the polarity of an entire molecule from one bond without considering the other bonds and molecular shape. This card establishes the definition only.

Electronegativity depends on nuclear pull, distance and shielding

Greater nuclear charge tends to strengthen the attraction between the nucleus and a bonding electron pair. More protons increase the positive pull, but this effect must be considered with the electron's distance from the nucleus and the shielding provided by inner electrons.

A larger atomic radius places the bonding electron pair farther from the nucleus, so attraction is weaker and electronegativity is lower. A smaller radius brings the bonding electrons closer and strengthens the attraction.

Inner-shell electrons shield the outer region from some nuclear attraction. Greater shielding reduces the effective pull on bonding electrons; therefore proton number alone cannot determine electronegativity. Use nuclear charge, radius and shielding together.

Do not confuse shielding with the number of bonding electrons, or state that every increase in proton number automatically gives a stronger attraction. The combined factor explanation supports the periodic trends on the neighbouring card; numerical bond classification belongs to the later application card.

Electronegativity generally increases across a period and up a group

Across a period, electronegativity generally increases from left to right. Nuclear charge increases while the added electrons enter the same principal shell, so shielding changes relatively little; the stronger nuclear attraction and generally smaller atomic radius pull bonding electrons more strongly.

Down a group, electronegativity generally decreases. Although nuclear charge increases, new occupied shells increase atomic radius and inner-shell shielding, so the bonding electron pair is farther from the nucleus and feels a weaker effective attraction.

Explain a trend by linking direction to the three factors: nuclear charge, distance/atomic radius and shielding. State the overall trend first, then identify which factor strengthens or weakens attraction and why the dominant effect gives the observed direction.

Use ‘generally’ rather than claiming a perfectly smooth rule for every comparison. Do not reverse the down-group direction, explain the trend with proton number alone, or use bond-polarity classification before the neighbouring application objective.

Use the Pauling difference to predict covalent or ionic bonding

Take the absolute difference between the supplied Pauling electronegativity values. A small difference predicts that the atoms share electrons in a covalent bond; a large difference predicts electron transfer and ionic bonding. The more electronegative atom attracts the bonding electrons more strongly.

Δχ=∣χA−χB∣\mathrm{\Delta\chi=|\chi_A-\chi_B|}

Pair Pauling values Δχ Prediction
H–H 2.1 and 2.1 0.0 covalent, equal sharing
H–Cl 2.1 and 3.0 0.9 covalent, unequal sharing towards Cl
Na–Cl 0.9 and 3.0 2.1 ionic

Equal values give equal attraction. As Δχ increases, sharing becomes more unequal; for a sufficiently large difference, the prediction changes to ions held by ionic bonding. Use the supplied data and the chemical context rather than treating the examples as a memorised list.

Bonding varies continuously, so do not invent an exact universal cutoff unless a question supplies one. This objective asks for an ionic-or-covalent prediction; covalent character in nominally ionic compounds is explicitly outside the assessed scope.

3.2 Ionic bonding

Syllabus
9701–2028–2029
Topic
3.2
Level
AS

An ionic bond is attraction between oppositely charged ions

Ionic bonding is the electrostatic attraction between oppositely charged ions: positively charged cations and negatively charged anions.

Electrostatic means the attraction is caused by charge. In an ionic solid, each ion is attracted to surrounding ions of opposite charge throughout a repeating lattice; the bond is not confined to one isolated ion pair.

A cation carries positive charge and an anion carries negative charge. The ionic compound as a whole is neutral because the total positive and negative charges balance.

Electron transfer forms the ions; the resulting electrostatic attraction is the ionic bond. Do not define ionic bonding merely as electron transfer or describe an ionic solid as a collection of discrete molecules.

Electron transfer produces the ions in NaCl, MgO and CaF₂

A metal atom loses outer-shell electrons to form a cation, while a non-metal atom gains those electrons to form an anion. The ions combine in the smallest ratio that balances total charge, and electrostatic attraction between them extends through the ionic lattice.

Compound Electron transfer Ions and ratio Formula
sodium chloride Na loses 1 e⁻; Cl gains 1 e⁻ Na⁺ : Cl⁻ = 1 : 1 NaCl
magnesium oxide Mg loses 2 e⁻; O gains 2 e⁻ Mg²⁺ : O²⁻ = 1 : 1 MgO
calcium fluoride Ca loses 2 e⁻; each of two F atoms gains 1 e⁻ Ca²⁺ : F⁻ = 1 : 2 CaF₂

Na⟶Na++e−Cl+e−⟶Cl−\mathrm{Na\longrightarrow Na^+ + e^-\qquad Cl+e^-\longrightarrow Cl^-}

Ca⟶Ca2++2e−2F+2e−⟶2F−\mathrm{Ca\longrightarrow Ca^{2+}+2e^-\qquad 2F+2e^-\longrightarrow2F^-}

For every example, verify two things separately: electrons lost equal electrons gained, and ionic charges sum to zero in the formula unit. Subscripts count the ion ratio; they do not alter an individual ion's charge.

The formula represents the simplest ion ratio in a giant lattice, not a molecule. Detailed dot-and-cross drawing conventions belong to syllabus section 3.7, so this card keeps the electron accounting symbolic.

3.3 Metallic bonding

Syllabus
9701–2028–2029
Topic
3.3
Level
AS

Metallic bonding joins positive metal ions to a delocalised electron sea

Metal atoms are arranged in a regular, tightly packed lattice. When the atoms pack together, their outer-shell electrons become delocalised, so they are no longer associated with one particular atom.

The metallic structure is therefore a lattice of positive metal ions surrounded by a mobile sea of delocalised electrons. The positive ions remain in the lattice while the delocalised electrons move through the structure.

Metallic bonding is the strong electrostatic attraction between the positive metal ions and the surrounding delocalised electrons. This attraction holds the ions in place, counteracts repulsion between positive ions and maintains the stability of the metal structure.

Do not describe metallic bonding as attraction between neutral atoms or as one covalent electron pair shared by two atoms. The delocalised-electron model defines the bond here; detailed explanations of conductivity, malleability, alloys or property trends belong to later supported objectives.

3.4 Covalent bonding and coordinate (dative covalent) bonding

Syllabus
9701–2028–2029
Topic
3.4
Level
AS

Covalent bonds attract two nuclei to shared electron pairs

A covalent bond is the electrostatic attraction between the nuclei of two atoms and a shared pair of electrons. One, two or three shared pairs form a single, double or triple bond respectively.

Shared-pair pattern Required examples
one single bond H₂, Cl₂, HCl
double or triple bond O₂ has a double bond; N₂ has a triple bond
several bonds around a central atom CO₂ has two C=O bonds; NH₃ has three N–H bonds; CH₄ has four C–H bonds
carbon–carbon bonding C₂H₆ has a C–C single bond; C₂H₄ has a C=C double bond

An octet is not an absolute limit for the central Period 3 atom in the specified cases: sulfur has an expanded octet in SO₂ and SF₆, while phosphorus has an expanded octet in PCl₅. This exception does not change the covalent-bond definition.

A coordinate (dative covalent) bond is a covalent bond in which both electrons in the shared pair come from the same donor atom. The donor must have a lone pair and the acceptor must have an available orbital.

NH3(g)+HCl(g)⟶NH4Cl(s)\mathrm{NH_3(g)+HCl(g)\longrightarrow NH_4Cl(s)}

In this reaction, nitrogen donates its lone pair to hydrogen to form the fourth N–H bond in NH₄⁺; Cl⁻ is the counter-ion. In 2AlCl₃ ⇌ Al₂Cl₆, lone pairs on bridging chlorine atoms are donated to electron-deficient aluminium atoms, forming two coordinate bonds in the dimer.

The arrow used to show a coordinate bond points from the lone-pair donor to the acceptor, but detailed dot-and-cross drawing belongs to section 3.7. Once formed, the shared pair is attracted by both nuclei; its origin is what makes the bond coordinate.

Sigma and pi bonds come from different orbital overlaps

A σ bond forms by direct overlap of orbitals along the internuclear axis. A π bond forms by sideways overlap of adjacent unhybridised p orbitals, giving electron density above and below the σ-bond axis.

Every single bond is one σ bond. A double bond contains one σ and one π bond; a triple bond contains one σ and two π bonds formed from two perpendicular pairs of p orbitals.

s+3p→4 sp3s+2p→3 sp2s+p→2 sp\mathrm{s+3p\rightarrow4\ sp^3\quad s+2p\rightarrow3\ sp^2\quad s+p\rightarrow2\ sp}

Hybridisation mixes orbitals on the same atom. sp³ leaves no unhybridised p orbital, sp² leaves one for one π bond, and sp leaves two for two π bonds.

Molecule Relevant hybridisation σ and π description
H₂ H 1s orbitals direct 1s–1s overlap gives one σ bond
C₂H₆ each C is sp³ all C–H and C–C bonds are σ
C₂H₄ each C is sp² C=C contains one σ and one π bond
HCN C and N are sp H–C is σ; C≡N contains one σ and two π bonds
N₂ each N is sp N≡N contains one σ and two π bonds

Do not count a double bond as two σ bonds or hybridise the p orbital needed for a π bond. Molecular shapes and bond angles are developed separately in section 3.5.

Bond energy and bond length help compare covalent reactivity

Bond energy is the energy required to break one mole of a particular covalent bond in the gaseous state, measured in kJ mol⁻¹. Bond length is the internuclear distance between two covalently bonded atoms.

A larger bond energy means a stronger bond and more energy is required to break it. For the same pair or a comparable series of atoms, a shorter bond generally reflects stronger attraction between nuclei and bonding electrons and is associated with a stronger bond.

Molecule H–X bond length / pm bond energy / kJ mol⁻¹
HCl 127 431
HBr 141 366
HI 161 299

From HCl to HI, the halogen atom becomes larger, the H–X bond becomes longer and attraction across the bond weakens. Less energy is therefore needed to break H–I, so HI is the most reactive of these hydrogen halides in a comparison where breaking the H–X bond controls the reaction.

Bond energy and length compare the ease of breaking a specified bond; they are not universal predictors of a whole molecule's reactivity. Always identify which bond must break and use the supplied values and conditions.

3.5 Shapes of molecules

Syllabus
9701–2028–2029
Topic
3.5
Level
AS

VSEPR explains molecular shape by minimising electron-pair repulsion

Valence-shell electron pairs around a central atom repel one another and arrange as far apart as possible in three dimensions. Each single, double or triple bond counts as one electron domain, and each lone pair counts as one domain.

Lone pairs occupy domains but are not named as atoms in the molecular shape. Their electron density is concentrated closer to the central atom, so repulsion follows lone pair–lone pair > lone pair–bond pair > bond pair–bond pair and lone pairs compress neighbouring bond angles.

Molecule bonding domains lone pairs on central atom shape bond angle(s)
BF₃ 3 0 trigonal planar 120°
CO₂ 2 0 linear 180°
CH₄ 4 0 tetrahedral 109.5°
NH₃ 3 1 pyramidal 107°
H₂O 2 2 non-linear 104.5°
SF₆ 6 0 octahedral 90°
PF₅ 5 0 trigonal bipyramidal 120° and 90°

CH₄, NH₃ and H₂O all have four electron domains, but replacing bonding pairs with lone pairs increases repulsion and reduces the observed angle from 109.5° to 107° and then 104.5°. By contrast, the two C=O double bonds in CO₂ count as two domains and point 180° apart.

Do not count the two electron pairs in a double bond as two separate domains, and do not name a shape from the molecular formula alone. Count domains around the central atom, then omit lone-pair positions when naming the molecular shape.

Transfer VSEPR by matching central-atom electron domains

For an unfamiliar molecule or ion: identify the central atom; count total valence electrons, adding electrons for negative charge or subtracting for positive charge; construct the bonding and lone pairs; count electron domains; then match the domain pattern to a reference VSEPR arrangement and state the bond angle.

Species central-atom domains Analogy Prediction
NO₃⁻ 3 bonding, 0 lone BF₃ trigonal planar, 120°
NH₄⁺ 4 bonding, 0 lone CH₄ tetrahedral, 109.5°
PCl₄⁺ 4 bonding, 0 lone CH₄ tetrahedral, 109.5°
PF₆⁻ 6 bonding, 0 lone SF₆ octahedral, 90°

For NH₄⁺, nitrogen supplies five valence electrons, four hydrogens supply four, and the positive charge removes one: 5 + 4 − 1 = 8 electrons. All four pairs are N–H bonding pairs, so four equivalent domains adopt the tetrahedral arrangement and give 109.5°.

When an analogous species contains lone pairs, begin with the ideal electron-domain angle and use stronger lone-pair repulsion to justify compression. Transfer an exact numerical angle only when the species is directly analogous at the level expected by the question; real angles can vary with the atoms and bonding present.

Ionic charge changes the electron count, not the VSEPR rule. Multiple bonds remain one domain, lone pairs are omitted from the shape name, and molecular polarity is a separate conclusion taught in section 3.6.

3.6 Intermolecular forces and bond properties

Syllabus
9701–2028–2029
Topic
3.6
Level
AS

Hydrogen bonding links molecules containing N–H or O–H groups

Within the assessed scope, hydrogen bonding is a strong intermolecular attraction between a δ⁺ hydrogen covalently bonded to N or O in one molecule and a lone pair on N or O in a neighbouring molecule. It is a special case of permanent dipole–permanent dipole attraction.

Ammonia and water both hydrogen-bond because their N–H or O–H bonds are strongly polar and the N or O atoms carry lone pairs. In water, each molecule has two donor hydrogens and two acceptor lone pairs, so an extended intermolecular network can form.

Anomalous property of H₂O Hydrogen-bond explanation
relatively high melting and boiling points extra energy is required to overcome attractions between water molecules
relatively high surface tension surface molecules are pulled together strongly by neighbouring water molecules
ice is less dense than liquid water ice has a rigid open hydrogen-bonded lattice; partial collapse on melting lets molecules pack more closely

The O–H or N–H link within a molecule is a covalent bond; the hydrogen bond acts between molecules. Hydrogen in a formula is not sufficient by itself—the hydrogen must be directly bonded to N or O for the cases assessed here.

Bond dipoles arise from uneven sharing and add according to molecular shape

Electronegativity is an atom's tendency to attract the shared electron pair in a covalent bond. Equal or nearly equal attraction gives a non-polar bond; unequal attraction shifts electron density towards the more electronegative atom, leaving that end δ− and the other end δ+.

A bond dipole records the direction of this charge separation, with the dipole arrow pointing towards the partially negative end. A larger electronegativity difference gives a more polar bond, but bond polarity is a property of the individual bond before the whole molecular arrangement is considered.

To decide whether a molecule has an overall dipole, identify the polarity and direction of every polar bond, then use the molecular shape to see whether the dipoles cancel. In CH₃Cl they do not cancel, so the molecule is polar; in the symmetric CCl₄ arrangement they cancel, so the molecule is non-polar despite its polar C–Cl bonds.

Do not infer overall molecular polarity from one bond or from the presence of polar bonds alone. Keep δ+ and δ− on the correct atoms, and distinguish a polar bond from a polar molecule whose net dipole depends on three-dimensional arrangement.

Van der Waals’ forces include id–id and pd–pd attractions

Van der Waals’ forces is the syllabus's generic term for intermolecular forces between molecular entities other than forces due to bond formation. The assessed categories are instantaneous dipole–induced dipole (id–id) forces and permanent dipole–permanent dipole (pd–pd) forces; hydrogen bonding is a special pd–pd case.

Type How the dipoles arise Where it acts
id–id (London dispersion) electron motion creates an instantaneous dipole, which induces a dipole in a neighbour between all atoms and molecules
pd–pd polar bonds and molecular shape give neighbouring molecules permanent dipoles between polar molecules
hydrogen bonding an especially δ⁺ H bonded to N or O is attracted to a lone pair on N or O nearby between suitable N–H/O–H molecules

Id–id forces generally strengthen when a species has more electrons because its electron cloud is more polarisable; greater molecular contact can also strengthen the total attraction. Pd–pd forces additionally align opposite permanent partial charges.

An instantaneous dipole fluctuates and is not a permanent molecular dipole. Do not call every intermolecular attraction a hydrogen bond, and do not confuse any van der Waals force between molecules with the covalent bonds within them.

Bonding is generally stronger than intermolecular forces

In general, ionic, covalent and metallic bonding are stronger than intermolecular forces. Bonding holds ions, atoms or metal ions and delocalised electrons together; intermolecular forces attract separate molecular entities.

Interaction Particles it connects Typical role
ionic, covalent or metallic bonding particles within a lattice or atoms within a molecular entity/network determines the substance's bonded structure
intermolecular forces separate molecular entities influences their separation in melting, boiling and other physical changes

When a simple molecular substance melts or boils, intermolecular attractions are overcome while the covalent bonds inside each molecule normally remain intact. This is why a low boiling point does not mean the molecule's covalent bonds are weak.

The syllabus statement is a general comparison, not a universal numerical ranking of every individual interaction. First identify which particles are being separated and whether the relevant attraction is bonding or intermolecular.

3.7 Dot-and-cross diagrams

Syllabus
9701–2028–2029
Topic
3.7
Level
AS

Dot-and-cross diagrams must conserve valence electrons and charge

A dot-and-cross diagram shows only the outer-shell electrons of the atoms or ions. Use dots and crosses to keep the source atoms distinguishable; for an ion, enclose the electron arrangement in brackets and write the charge at the top right.

Choose the bonding model before drawing: show transfer of valence electrons for an ionic compound, shared pairs for a covalent compound, and a shared pair whose two electrons come from one donor for a coordinate bond. In a displayed formula, the coordinate-bond arrow points away from the donor lone pair.

After drawing, count the shown outer electrons, check each ion's charge and confirm that the shared or transferred electrons match the bonding model. The normal noble-gas/octet pattern is a useful check, but it is not an unconditional rule.

Keep the source-supported exception branches visible: some species have an expanded octet, some have an incomplete octet/electron-deficient centre, and some contain an odd number of valence electrons. Do not add inner-shell electrons or force these species into an eight-electron arrangement.