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IB Diploma Chemistry HL · Structure 2 — models of bonding and structure
Mini-Lesson

Models of bonding and structure

8 missions. Guess, learn, then check. Your place is saved.

  1. Mission 1Salt is made of charged particles. So why doesn't a salt crystal conduct electricity?
  2. Mission 2Air is 78% nitrogen. Why does almost nothing react with it?
  3. Mission 3Water and carbon dioxide both have three atoms. Why is one bent and the other straight?
  4. Mission 4Water and methane molecules have almost the same mass. Why does water boil over 260 °C higher?
  5. Mission 5Diamond and graphite are both pure carbon. Why does only graphite conduct electricity?
  6. Mission 6 · AHLBenzene is drawn with three double bonds. So why doesn't it react like an alkene?
  7. Mission 7Tin conducts electricity. So why doesn't liquid tin(IV) chloride conduct at all?
  8. Mission 8When a plastic softens in heat, what is breaking?
Mission 1

Mission 1: Salt is made of charged particles. So why doesn't a salt crystal conduct electricity?

Make a guess: Salt is made of charged particles. So why doesn't a salt crystal conduct electricity?

Mission 1

Which ions atoms form

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from electron configurationsMg atom1s² 2s² 2p⁶ 3s²12 p, 12 e⁻Mg²⁺ ion1s² 2s² 2p⁶12 p, 10 e⁻lose 2 e⁻N atom1s² 2s² 2p³7 p, 7 e⁻N³⁻ ion1s² 2s² 2p⁶7 p, 10 e⁻gain 3 e⁻Both ions have 10 electrons,the same as neon (Ne).
  • Metal atoms lose electrons to form positive ions: cations.
  • Non-metal atoms gain electrons to form negative ions: anions.
  • Group 1 and 2 metals, and aluminium, lose all their outer-shell electrons.
  • Non-metals gain enough electrons to fill the outer p sublevel.
  • Mg 1s² 2s² 2p⁶ 3s² loses two: Mg²⁺. N 1s² 2s² 2p³ gains three: N³⁻.
  • Charge = protons − electrons. The number of protons never changes.
Quick check
?An atom of element X has the electron configuration 1s² 2s² 2p⁶ 3s² 3p⁴. Which ion does X form in its ionic compounds?
Mission 1

Transition elements: more than one ion

  • Transition elements can form ions with different charges.
  • They lose their 4s electrons before 3d.
  • Cobalt, [Ar] 3d⁷ 4s²: Co²⁺ is [Ar] 3d⁷; Co³⁺ is [Ar] 3d⁶.
  • A Roman numeral gives the charge: cobalt(II) chloride, CoCl₂.
Quick check
?Copper (atomic number 29) forms both Cu⁺ and Cu²⁺ ions. Which describes how a copper atom forms a Cu²⁺ ion?
Mission 1

Ionic bonds, formulae and names

  • Ionic bond: electrostatic attraction between ions of opposite charge.
  • It acts in all directions: each ion attracts every oppositely charged neighbour.
  • Formula: combine ions so the total charge is zero. Mg²⁺ and N³⁻ → Mg₃N₂.
  • Name the cation first, then the anion ending in -ide: magnesium nitride.
  • Formula to name: MnO₂ has 2 × O²⁻ (−4), so Mn⁴⁺: manganese(IV) oxide.
  • Number prefixes (di-, tri-) are for covalent compounds, never ionic ones.
Quick check
?Aluminium, 1s² 2s² 2p⁶ 3s² 3p¹, reacts with oxygen, 1s² 2s² 2p⁴, to form aluminium oxide. Which gives its formula with a correct reason?
Quick check
?Which formula is paired with its correct name?
Mission 1

Seven polyatomic ions to know

IonFormula
ammoniumNH₄⁺
hydroxideOH⁻
nitrateNO₃⁻
hydrogencarbonateHCO₃⁻
carbonateCO₃²⁻
sulfateSO₄²⁻
phosphatePO₄³⁻
  • Keep each ion whole. Brackets show more than one: Ca(NO₃)₂, (NH₄)₂SO₄.
  • "-ate" does not fix the charge: nitrate 1−, sulfate 2−, phosphate 3−.
Quick check
?Which statement about the formula of an ionic compound is correct?
Mission 1

The ionic lattice

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lattice, cut-away cubecationanionGiant lattice;formula = ratio of ions
  • Ionic compounds are giant 3D lattices of alternating cations and anions.
  • There are no molecules, so the formula is empirical: the simplest ratio of ions.
  • Al₂O₃ means two Al³⁺ for every three O²⁻, not a molecule of five atoms.
Quick check
?The formula of magnesium chloride is MgCl₂. What does this formula represent?
Mission 1

Properties from the lattice

  • Low volatility, high melting point: every ion is held by many strong attractions.
  • Conducts only when molten or aqueous: then the ions are free to move.
  • The solid does not conduct: its ions are fixed, and there are no free electrons.
  • Often soluble in water: polar water molecules attract the ions out of the lattice.
  • Insoluble in non-polar solvents such as hexane. CaCO₃ and BaSO₄ don't dissolve in water either.
Quick check
?Sodium chloride has a very low volatility: it does not evaporate at room temperature and melts only at 801 °C. Which explanation is correct?
Quick check
?Sodium chloride dissolves in water but not in hexane, C₆H₁₄. Which explanation is correct?
Mission 1

Lattice enthalpy: how strong the ionic bonding is

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enthalpy, charge and size1+1−1+ and 1−centre to centre2+2−2+ and 2−centre to centrelarge ionssmaller ionslonger distanceshorter distancestronger attraction→ larger ΔH⦵lattice
  • Lattice enthalpy, ΔH⦵lattice: the enthalpy change to separate 1 mol of ionic solid into gaseous ions.
  • MgO(s) → Mg²⁺(g) + O²⁻(g). Always positive: larger means stronger ionic bonding.
  • Larger with higher ion charges, and with smaller ion radii (centres closer).
  • MgO 3791, NaCl 790 kJ mol⁻¹ (data booklet). MgO's ions are doubly charged and smaller.
  • Same charges? Radius decides. When charges differ, charge usually has the bigger effect.
Quick check
?Lattice enthalpy is a measure of the strength of the ionic bonding in a compound. Ionic radii (pm): Na⁺ 102, K⁺ 138, F⁻ 133, Cl⁻ 181. Which shows the lattice enthalpies of NaF, NaCl and KCl in decreasing order?
Mission check

?Which statement about the electrical conductivity of sodium chloride is correct?
Mission 2

Mission 2: Air is 78% nitrogen. Why does almost nothing react with it?

Make a guess: Air is 78% nitrogen. Why does almost nothing react with it?

Mission 2

What a covalent bond is

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bond++nucleusnucleusshared pairattractsattractsBoth nuclei attract the shared pair.That attraction is the bond.
  • Covalent bond: the electrostatic attraction of both nuclei for a shared pair of electrons.
  • The pair sits between the nuclei. Both pull on it, holding the atoms together.
  • Octet rule: atoms tend to end up with eight valence electrons. A tendency, not a law.
  • The octet is an outcome. The attraction is the bond.
Quick check
?What holds the hydrogen atom and the chlorine atom together in a molecule of hydrogen chloride, HCl?
Mission 2

Drawing a Lewis formula

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formulas of CO2 and hydroxideOOCCO₂16 valence e⁻OH−[O–H]⁻8 valence e⁻
  • A Lewis formula shows every valence electron, bonding and lone pairs, as dots, crosses or lines.
  • 1. Count valence electrons: add one per negative charge, remove one per positive charge.
  • 2. Join the atoms with single bonds. 3. Complete the outer atoms' octets with lone pairs.
  • 4. Spare pairs go on the central atom; if short, make multiple bonds (not B, Be).
  • CO₂ has 16 valence electrons: O=C=O, two lone pairs on each O.
  • An ion goes in square brackets, charge outside: [O–H]⁻, three lone pairs on O.
Mission 2

Fewer than eight

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octets: BF3 and BeCl2BFFFBF₃B has6 e⁻no lone pairBeClClBeCl₂Be has4 e⁻
  • Some central atoms have an incomplete octet.
  • BF₃: boron's three electrons make three bonds. Boron has 6 electrons, no lone pair.
  • BeCl₂: beryllium has only 4 electrons around it.
  • Count both electrons of every shared pair for each atom.
Quick check
?Boron trichloride, BCl₃, is a covalent molecule (boron is in group 13; chlorine is in group 17). In its Lewis formula, how many electrons are in the valence shell of the boron atom?
Quick check
?Which describes a correct Lewis formula for the cyanide ion, CN⁻?
Mission 2

Single, double, triple

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order, length and strengthBond length/ pm050100150154C–C134C=C120C≡CBond enthalpy/ kJ mol⁻¹0300600900346C–C614C=C839C≡CHigher bond order:shorter and stronger bond
  • Single, double and triple bonds share one, two and three pairs of electrons.
  • More shared pairs: the bond is shorter and stronger.
BondShared pairsLength / pmBond enthalpy / kJ mol⁻¹
C–C1154346
C=C2134614
C≡C3120839
  • More shared electrons pull both nuclei closer. (Data booklet, sections 11 and 12.)
Mission 2

Coordination bonds

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bonds: H3O+ and COOHHH₂O+H⁺OHHH+[H₃O]⁺Arrow: both electrons from one atomCOCO: three shared pairs.One pair is from O: arrow O → C.It is a coordination bond.
  • Coordination bond: a covalent bond whose shared pair comes wholly from one atom.
  • The donor has a lone pair. The acceptor has room for a pair.
  • H₂O + H⁺ → H₃O⁺: an O lone pair goes to H⁺. Arrow: O→H.
  • In CO, one of the three shared pairs comes from oxygen alone.
  • Once formed, it is identical to the others: all three O–H bonds in H₃O⁺ match.
Quick check
?In the vapour at lower temperatures, aluminium chloride exists as Al₂Cl₆ molecules, formed when two AlCl₃ units join through two bridging chlorine atoms. Which describes the new bonds that join the two units?
Mission 2AHL

Complex ions

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ion [Cu(H2O)6]2+H₂OH₂OH₂OH₂OH₂OH₂OCu²⁺2+ligandcoordination bond
  • Transition element ions form complex ions: a central metal ion surrounded by ligands.
  • A ligand donates a lone pair to the metal ion, forming a coordination bond.
  • [Cu(H₂O)₆]²⁺: six water ligands, each O donating a lone pair to Cu²⁺.
  • Common ligands: H₂O, NH₃, Cl⁻, CN⁻. Each has a lone pair to give.
Quick checkAHL
?The complex ion [CuCl₄]²⁻ forms when chloride ions bond to a Cu²⁺ ion. Which describes its Cu–Cl bonds?
Mission 2AHL

Formal charge

  • Formal charge: FC = V − N − ½B.
  • V: valence electrons of the free atom. N: non-bonding electrons. B: bonding electrons.
  • H₃O⁺, oxygen: V = 6, N = 2, B = 6.
  • So FC(O) = 6 − 2 − 3 = +1.
  • Each H: 1 − 0 − 1 = 0.
  • Formal charges add up to the species' overall charge: +1 here.
Mission 2AHL

Choosing the best Lewis formula

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charge in OCSSCO000S: 6 − 4 − 2 = 0O: 6 − 4 − 2 = 0preferredSCO+10−1S: 6 − 2 − 3 = +1O: 6 − 6 − 1 = −1not preferred
  • Several Lewis formulas can obey the octet rule. Formal charge picks the preferred one.
  • First: formal charges closest to zero.
  • If charges remain, put the negative one on the more electronegative atom.
  • OCS: S=C=O gives 0, 0, 0. S≡C–O gives +1, 0, −1.
  • So S=C=O is preferred.
  • Formal charge is not oxidation state: it splits every bonding pair equally.
Quick checkAHL
?In the Lewis formula of carbon monoxide, C and O are joined by a triple bond and each atom has one lone pair. Using FC = V − N − ½B (V = valence electrons of the free atom, N = non-bonding electrons, B = bonding electrons), what is the formal charge on the carbon atom?
Quick checkAHL
?Two Lewis formulas are proposed for CO₂. In formula I, each O atom is joined to C by a double bond and has two lone pairs. In formula II, one O atom is joined to C by a triple bond and has one lone pair, and the other O atom is joined by a single bond and has three lone pairs. Which formula is preferred, and why?
Mission check

?How does the carbon–carbon bond in ethyne, HC≡CH, compare with the carbon–carbon bond in ethane, CH₃CH₃?
Mission 3

Mission 3: Water and carbon dioxide both have three atoms. Why is one bent and the other straight?

Make a guess: Water and carbon dioxide both have three atoms. Why is one bent and the other straight?

Mission 3

Electron domains repel

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geometriesBeCl₂2 domainslinear180°BF₃3 domainstrigonal planar120°CH₄4 domainstetrahedral109.5°BeClClBFFFCHHHH
  • An electron domain: a lone pair or a bond. A multiple bond is one domain.
  • Domains round a central atom get as far apart as possible: the VSEPR model.
  • 2 domains: linear, 180°. 3: trigonal planar, 120°. 4: tetrahedral, 109.5°.
  • BeCl₂ is linear, BF₃ trigonal planar, CH₄ tetrahedral.
Mission 3

Electron-domain vs molecular geometry

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and molecular geometryCO₂ · 180°domains: linearmolecule: linearCOOBF₃ · 120°domains: trigonal planarmolecule: trigonal planarBFFFSO₂ · < 120°domains: trigonal planarmolecule: bentSOOCH₄ · 109.5°domains: tetrahedralmolecule: tetrahedralCHHHHNH₃ · ≈ 107°domains: tetrahedralmolecule: trigonal pyramidalNHHHH₂O · ≈ 104.5°domains: tetrahedralmolecule: bentOHH
  • Electron-domain geometry: where all the domains point, lone pairs included.
  • Molecular geometry: where the atoms are. Lone pairs are left out of the name.
DomainsLone pairsElectron-domain geometryMolecular geometryExample
20linearlinearCO₂
30trigonal planartrigonal planarBF₃
31trigonal planarbentSO₂
40tetrahedraltetrahedralCH₄
41tetrahedraltrigonal pyramidalNH₃
42tetrahedralbentH₂O
Quick check
?Ammonia, NH₃, has three bonding pairs and one lone pair around the nitrogen atom. What is its molecular geometry?
Mission 3

What changes the angles

  • Lone pairs repel more strongly than bonding pairs, so they squeeze bond angles.
  • CH₄ 109.5° → NH₃ about 107° → H₂O about 104.5°.
  • A multiple bond holds more electron density, so it repels more than a single bond.
  • Ethene: the H–C–H angle is about 117°, a little under 120°.
  • Lewis formulas are drawn flat. They show the pairs, not the angles.
Quick check
?Predict the H–O–H bond angle in a water molecule, H₂O.
Quick check
?Which molecule has a tetrahedral electron-domain geometry but a bent molecular geometry?
Mission 3AHL

Expanded octets

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Lewis formulasPClClClClClPCl₅40 valence e⁻P has 10 e⁻no lone pair on PSFFFFFFSF₆48 valence e⁻S has 12 e⁻no lone pair on SClFFFClF₃28 valence e⁻Cl has 10 e⁻2 lone pairs on Cl
  • From period 3 on, a central atom can hold more than eight electrons: an expanded octet.
  • Period 2 atoms (C, N, O, F) never can.
  • PCl₅: five bonding pairs round P, 10 electrons. SF₆: six bonding pairs, 12.
  • Find lone pairs by counting. ClF₃ has 7 + 3 × 7 = 28 valence electrons.
  • Bonds (6) and F lone pairs (18) use 24. Four remain: two lone pairs on Cl.
Quick checkAHL
?Sulfur tetrafluoride, SF₄, has 34 valence electrons. Which describes its correct Lewis formula?
Mission 3AHL

Five electron domains

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electron domainsPXXXXXaxial (2)equatorial (3)PClClClClClPCl₅trigonal bipyramidalSFFFFSF₄seesawClFFFClF₃T-shapedXeFFXeF₂linear
  • Five domains: trigonal bipyramidal. Three equatorial at 120°; two axial, at 90° to them.
  • Lone pairs go equatorial: there they have fewer neighbours at 90°.
Lone pairsMolecular geometryExample
0trigonal bipyramidalPCl₅
1see-sawSF₄
2T-shapedClF₃
3linearXeF₂
Mission 3AHL

Six electron domains

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electron domains6 domains90° betweenneighboursSFFFFFFXeOFFFFSF₆octahedralXeOF₄square pyramidallone pair opposite O
  • Six domains: octahedral, all angles 90°.
Lone pairsMolecular geometryExample
0octahedralSF₆
1square pyramidalXeOF₄
2square planar(next question)
  • XeOF₄: four Xe–F bonds, one Xe=O (one domain) and one lone pair, opposite the O.
  • Two lone pairs sit opposite each other, 180° apart, where they repel least.
Quick checkAHL
?In xenon tetrafluoride, XeF₄, the xenon atom (eight valence electrons) forms a single bond to each of four fluorine atoms. What is the molecular geometry of XeF₄?
Quick checkAHL
?In the ion ICl₂⁻, the iodine atom (seven valence electrons) is joined to each of two chlorine atoms by a single bond. How many lone pairs are on the iodine atom, and what is the molecular geometry?
Mission check

Two Lewis formulas side by side, each drawn with three atoms in a straight horizontal lineBeCl₂Cl₂OClBeClClOCl
?The diagram shows the Lewis formulas of beryllium chloride, BeCl₂, and dichlorine monoxide, Cl₂O, each drawn with its three atoms in a straight line. Which deduction about the molecular geometry of Cl₂O is correct?
Mission 4

Mission 4: Water and methane molecules have almost the same mass. Why does water boil over 260 °C higher?

Make a guess: Water and methane molecules have almost the same mass. Why does water boil over 260 °C higher?

Mission 4

Polar bonds

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dipole of H-ClHClδ+δ−χ = 2.2χ = 3.2HClbond dipolearrow points to the more electronegative atom
  • Electronegativity: how strongly an atom pulls a shared pair. Values are in the data booklet.
  • Unequal electronegativities: the pair is shared unequally. That is a polar bond.
  • The more electronegative atom is δ−, the other δ+. Or draw a dipole arrow.
  • H–Cl: H 2.2, Cl 3.2. Difference 1.0, δ− on Cl.
  • Bigger difference, more polar. Only the difference counts, not the size of the values.
Quick check
?Electronegativity values: H 2.2, C 2.6, O 3.4, F 4.0, P 2.2. Which bond is the most polar?
Mission 4

Polar molecules

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bond dipoles cancel?Dipoles cancel: non-polarCOOCO₂BFFFBF₃CClClClClCCl₄bond dipoles sum to zeroDipoles do not cancel: polarOHHH₂OCClHClHCH₂Cl₂green arrow = resultant dipolered arrows = bond dipolesC–H bonds: little polarity, not drawn
  • A molecule is polar if its bond dipoles leave a net dipole moment.
  • Equal dipoles arranged symmetrically cancel: CO₂, BF₃ and CCl₄ are non-polar.
  • In H₂O and CH₂Cl₂ they do not cancel: both molecules are polar.
  • Always check both: are the bonds polar, and does the shape cancel them?
Quick check
?Carbon dioxide, CO₂, has no net dipole moment (electronegativity: C 2.6, O 3.4). Which statement explains this?
Quick check
?Water, H₂O, has a net dipole moment (electronegativity: H 2.2, O 3.4). Which statement explains this?
Mission 4

Forces between molecules

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types of intermolecular forceLondon forcesδ−δ+δ−δ+instantaneousdipole–dipoleH₃CClδ+δ−ClH₃Cδ−δ+polar + polardipole–induceddipoleOHHδ−δ+δ−δ+O₂induced dipoleH₂Ohydrogen bondingOOHHHHδ+δ−H to a lone pairon O
  • London (dispersion) forces act between all molecules. More electrons, more contact: stronger.
  • Dipole–dipole: between two polar molecules, such as two CH₃Cl molecules.
  • Dipole–induced dipole: a polar molecule polarizes a non-polar one, such as H₂O and O₂.
  • Van der Waals forces is the umbrella term for these three.
  • Hydrogen bond: H on N/O/F, attracted to a lone pair on N/O/F of another molecule.
  • Hydrogen bonds act between molecules. The O–H bond inside water is covalent.
Quick check
?Liquid methanol, CH₃OH, contains hydrogen bonds. What is a hydrogen bond in methanol?
Quick check
?Hydrogen chloride gas is mixed with iodine vapour. Which intermolecular forces act between an HCl molecule and an I₂ molecule?
Mission 4

Which force is strongest?

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points of molecules of similar massBoiling point / °C−200−150−100−50050100−183 °CO₂Mᵣ 32.00Londonforces only−60 °CH₂SMᵣ 34.09dipole–dipole65 °CCH₃OHMᵣ 32.05hydrogenbonding
  • Only at comparable molar mass: London < dipole–dipole < hydrogen bonding.
  • O₂ (Mr 32), London only: boils at −183 °C.
  • H₂S (34), polar, adds dipole–dipole: −60 °C.
  • CH₃OH (32), adds hydrogen bonds: 65 °C.
  • Masses very different? London forces can win: octane (Mr 114, non-polar) boils at 126 °C.
Quick check
Graph of boiling point / °C on the vertical axis (ticks at −100, −50, 0 and 50) against mo04080120−100−50050molar mass / g mol⁻¹boiling point / °CHFHClHBrHI
?The graph shows the boiling points of the hydrogen halides HF, HCl, HBr and HI plotted against molar mass. Which statement is supported by the graph?
Mission 4

Properties of molecular substances

  • Melting and boiling overcome forces between molecules. Covalent bonds stay intact.
  • Weak intermolecular forces: low melting and boiling points, so volatile.
  • No conduction: no ions, and every electron is held in a bond or lone pair.
  • Solubility: it dissolves if new solute–solvent attractions replace those broken.
  • Polar and hydrogen-bonding solutes dissolve in water; non-polar ones in non-polar solvents.
Quick check
?Ethanol, CH₃CH₂OH, mixes with water in all proportions, but hexane, C₆H₁₄, does not dissolve in water. Which statement explains this difference?
Mission 4

Chromatography and RF

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chromatogram2.4 cm8.0 cmpencil baselinesolvent frontspotBoth distances start at the baseline.
  • Components separate by their relative attraction to two phases.
  • Stationary phase stays put: in paper chromatography, the paper and the water it holds.
  • Mobile phase: the moving solvent. More attraction to the stationary phase: shorter distance, lower RF.
  • RF = distance moved by spot ÷ distance moved by solvent, both from the baseline.
  • Example: spot 2.4 cm, solvent 8.0 cm. RF = 2.4 ÷ 8.0 = 0.30, no units.
  • Same paper, solvent and temperature: a substance always gives the same RF.
Quick check
A paper chromatogram drawn as a tall rectangle. To its left is a vertical scale in cm, marcm0246810baselinesolvent frontXY
?The diagram shows a paper chromatogram with a scale in cm measured from the bottom edge of the paper. What is the RF value of spot X?
Quick check
?A green ink is run on paper beside four reference dyes, P, Q, R and S, under the same conditions. The ink gives two spots, with RF 0.36 and 0.71. The dyes give: P 0.36, Q 0.50, R 0.71, S 0.85. Which conclusion is best supported?
Mission check

?Water, H₂O (Mr 18.02), boils at 100 °C. Methane, CH₄ (Mr 16.05), boils at −162 °C. Which explains the difference?
Mission 5

Mission 5: Diamond and graphite are both pure carbon. Why does only graphite conduct electricity?

Make a guess: Diamond and graphite are both pure carbon. Why does only graphite conduct electricity?

Mission 5

Covalent networks: diamond

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C: exactly four bondstetrahedral network, no free electronshighlighted Cits neighbours
  • In a covalent network, covalent bonds run through the whole solid. There are no molecules.
  • Carbon and silicon both form these giant networks.
  • Diamond: each C bonded to four others, tetrahedrally.
  • Very hard, very high melting point: melting must break strong covalent bonds. Insoluble.
  • No conduction: all four outer electrons of each C are in localized bonds.
Mission 5

Graphite and graphene

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and graphenegraphene(one layer)delocalizedelectronsLondon forcesbetween layersLondon forcesbetween layersEach C: three bonds. No bonds between layers.
  • Graphite: flat layers of hexagons. Each C is bonded to three others.
  • Each C's fourth electron is delocalized across its layer: graphite conducts along the layers.
  • Only London forces hold the layers together. They slide, so graphite is soft.
  • Graphene: a single layer of graphite. It conducts, and is very strong for its mass.
Mission 5

Fullerenes and allotropes

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C60LondonforcesC₆₀ cageC₆₀ cage60 C atoms: 12 pentagons, 20 hexagonsseparate molecules, held by London forces
  • Fullerene C₆₀: a closed cage of 60 C atoms. These are separate molecules.
  • Only London forces act between C₆₀ molecules, so it vaporizes far more easily than diamond.
  • Allotropes: forms of one element with different bonding and structure.
  • Different structures give different physical and chemical properties.
Mission 5

Silicon and silicon dioxide

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and silicon dioxideSilicon: diamond-type networkSieach Si bonded to four SiSilicon dioxide: SiO₂SiSiSiO bridging two SiO bonded to a further Si (not drawn)Si : O = 1 : 2
  • Silicon: the diamond structure, each Si bonded to four Si. It melts at 1414 °C.
  • Si–Si bonds are longer and weaker than C–C. Silicon is a semiconductor.
  • Silicon dioxide, SiO₂: each Si bonded to four O, and each O to two Si.
  • A network, so SiO₂ is an empirical formula: Si : O = 1 : 2.
  • Melts near 1700 °C. Hard, insoluble, non-conducting.
Quick check
?Diamond, graphite and C₆₀ fullerene are allotropes of carbon. Which statement about them is correct?
Quick check
?Silicon is a shiny grey solid that melts at 1414 °C, conducts electricity only slightly and does not dissolve in water or in hexane. Which describes the structure of solid silicon?
Mission 5

Molecular or network? The properties

Molecular (e.g. CO₂, I₂)Network (e.g. diamond, SiO₂)
Volatilityhigh: weak forces between moleculesvery low: covalent bonds must break
Conductivitynonenone, except graphite and graphene; Si slightly
Solubilitydepends on polarityinsoluble
  • Decide the structure first. Then explain the property from it.
Quick check
?Carbon dioxide sublimes at −78 °C, but silicon dioxide melts at about 1700 °C. Which statement explains the difference?
Mission check

?Graphite conducts electricity. Which feature of its structure explains this?
Mission 6AHL

Mission 6: Benzene is drawn with three double bonds. So why doesn't it react like an alkene?

Make a guess: Benzene is drawn with three double bonds. So why doesn't it react like an alkene?

Mission 6AHL

Sigma and pi bonds

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and pi bondsσ bonds–s overlaphead-onσ bondhybrid–hybridhead-onπ bondp–p overlapsidewaysone bond:both regionsabovebelow
  • σ bond: head-on overlap of orbitals. Electron density lies on the bond axis.
  • π bond: sideways overlap of two p orbitals. Density lies above and below the axis.
  • Single bond = 1σ. Double = 1σ + 1π. Triple = 1σ + 2π.
  • Ethene, C₂H₄: 5σ, 1π. Ethyne, C₂H₂: 3σ, 2π. Nitrogen, N₂: 1σ, 2π.
Quick checkAHL
Two C atoms joined by a short horizontal line. Each C is also bonded to two H atoms: an upCCHHHHXX
?The diagram shows the bonding between the two carbon atoms in ethene, C₂H₄, with the C–C line representing the σ bond. Which statement describes the bond labelled X?
Quick checkAHL
?Carbon dioxide has the Lewis formula O=C=O. How many σ and π bonds does one CO₂ molecule contain?
Mission 6AHL

Hybridization

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orbitalssp2 lobes, 180°2 spare p (purple)sp²3 lobes, 120°1 spare p (purple)dashed: ⊥ to planesp³4 lobes, 109.5°no spare p
  • Hybridization: atomic orbitals mix into the same number of identical hybrid orbitals.
  • Hybrids form σ bonds or hold lone pairs. π bonds use unhybridized p orbitals.
Electron domainsHybridizationElectron-domain geometryExample
2splinear, 180°C in C₂H₂ and in CO₂
3sp²trigonal planar, 120°C in C₂H₄
4sp³tetrahedral, 109.5°C in CH₄; O in H₂O
  • Count domains, not bonds. It works backwards too: sp³ O with two lone pairs is bent.
Quick checkAHL
?In ethanenitrile, CH₃CN, the nitrogen atom is joined to carbon by a triple bond and carries one lone pair. What is the hybridization of the nitrogen atom?
Quick checkAHL
?Which statement about hybridization in an inorganic species is correct?
Mission 6AHL

Resonance and delocalization

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in the nitrate ionN+OO−O−−N+O−OO−−N+O−O−O−↔↔N+O⅔−O⅔−O⅔−−resonance hybridthree equal bonds
  • Double bond drawable in more than one place? Each drawing is a resonance structure.
  • The atoms stay put; only electrons move between drawings. Link them with ↔.
  • NO₃⁻ has three resonance structures: any of the three O can carry the double bond.
  • The real ion is one resonance hybrid: π electrons delocalized over all three N–O bonds.
  • So the three bonds are identical, between single and double. The ion never flips between drawings.
Quick checkAHL
?Ozone, O₃, can be represented by two Lewis formulas that differ only in which O–O bond is shown as the double bond. Which describes the bonds in a real ozone molecule?
Quick checkAHL
?The carbonate ion, CO₃²⁻, has 24 valence electrons. Which describes one correct resonance structure?
Mission 6AHL

Benzene: what the evidence shows

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two modelsKekulé modelObserved134 pm154 pmall six bonds140 pmSide view of the ringπ ring aboveπ ring belowC atoms
  • Benzene, C₆H₆, is often drawn with alternating C=C and C–C bonds. The evidence disagrees.
  • Bond lengths: all six C–C bonds are 140 pm, between C–C (154) and C=C (134).
  • Energy: adding H₂ releases much less energy than three C=C bonds would. Benzene is extra stable.
  • Reactions: benzene undergoes substitution, not addition, so its ring stays intact.
  • Isomers: only one 1,2-dibromobenzene exists. Alternating bonds would give two.
  • So: a flat ring of sp² carbons, six delocalized π electrons above and below it.
Quick checkAHL
?Which observation supports a delocalized structure for benzene rather than one with three localized C=C bonds?
Mission checkAHL

?Cyclohexene reacts with bromine by addition. Benzene reacts with bromine only in the presence of a catalyst, and then by substitution, forming C₆H₅Br and HBr. Which statement explains why benzene undergoes substitution rather than addition?
Mission 7

Mission 7: Tin conducts electricity. So why doesn't liquid tin(IV) chloride conduct at all?

Make a guess: Tin conducts electricity. So why doesn't liquid tin(IV) chloride conduct at all?

Mission 7

The metallic bond

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bonding++++++++++++++++cation, 1+delocalized e⁻15 + charges, 15 − charges: neutral overall
  • Metal atoms release their valence electrons into a shared, delocalized sea.
  • Metallic bond: electrostatic attraction between the lattice of cations and the delocalized electrons.
  • It is non-directional: each cation attracts the electrons all around it.
  • The metal stays neutral: the electrons balance the cations' charge.
Mission 7

Properties and uses

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of a metal and of an ionic solidMetal: a layer of cations slides++++++++++++++++++++++++beforeafterbonding is non-directionalIonic: the same slide+−+−−+−++−+−+−+−−+−++−+−beforeafterlike charges meet: repulsion
  • Electrical conductivity: delocalized electrons drift when a voltage is applied. Cations stay put.
  • Thermal conductivity: delocalized electrons carry kinetic energy rapidly through the metal.
  • Malleability: cation layers slide; non-directional bonding holds them in their new places.
  • In an ionic lattice, a shift brings like charges together. They repel, and the crystal shatters.
  • Uses follow: copper wiring, aluminium cooking pans, gold beaten into thin leaf.
Quick check
?Aluminium is used for heat sinks, which carry thermal energy away from computer processors. Which statement explains why aluminium is suitable?
Quick check
?A hammer strikes a piece of copper. Put the four statements in order to explain why the copper changes shape instead of cracking.

Tap the statements in the right order.

Quick check
?Copper is used for the wires in household electrical cables because it conducts electricity very well. What carries the electric current through a copper wire?
Mission 7

What makes metallic bonding stronger

  • Stronger with higher cation charge and smaller cation radius.
  • Both raise the electron density: more delocalized electrons, closer to each cation's centre.
  • Na⁺ → Mg²⁺: double the charge, a smaller ion. Magnesium melts far higher.
  • Down group 1 the cations get larger: K 63 °C, Rb 39 °C.
  • Mass does not decide: the heavier atom can melt lower.
Quick check
?The melting points of three period 3 metals are sodium 97.8 °C, magnesium 650 °C and aluminium 660 °C. Which statement explains why the melting point increases from sodium to aluminium?
Mission 7AHL

Transition elements

  • In transition elements, 3d electrons are delocalized as well as 4s electrons.
  • More delocalized electrons per cation: higher electron density, stronger metallic bonding.
  • So high melting points: vanadium 1910 °C, against potassium 63 °C in the same period.
  • More mobile electrons, too: transition elements are good electrical conductors.
Quick checkAHL
?Calcium ([Ar] 4s²) melts at 842 °C. Titanium ([Ar] 3d² 4s²), the next metal but one in period 4, melts at 1670 °C. Which statement explains the higher melting point of titanium?
Quick checkAHL
?Iron ([Ar] 3d⁶ 4s²) is a transition element. Which statement explains the electrical conductivity of solid iron?
Mission 7

Alloys

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metalAlloy+++++++++++++++++++++++++++++++++++++identical cations,regular layersa few larger atomsdisrupt the layerslayers slide less
  • An alloy is a mixture: a metal plus other metals or non-metals. No fixed formula.
  • Brass (copper, zinc), bronze (copper, tin), stainless steel (iron, chromium, nickel, carbon).
  • Metallic bonding is non-directional, so other atoms fit in. The alloy still conducts.
  • Different-sized atoms disrupt the layers, so they slide less: alloys are usually harder.
Quick check
?Which description of an alloy is correct?
Quick check
?Brass is an alloy of copper and zinc. Like copper, brass conducts electricity and can be hammered into shape. Which statement about the bonding in brass is correct?
Mission 7

Bonding is a continuum

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triangle%%covalentionic89225755050752510000.791.52.02.53.03.54.000.51.01.52.02.53.0Electronegativitydifference, ΔχAverage electronegativityIonicPolarcovalentCovalentMetallicKFSiO₂CCl₄CO₂
  • Ionic, covalent and metallic are models. Real bonding usually mixes them.
  • The bonding triangle (data booklet, section 17) places any binary compound.
  • x-axis: average electronegativity, (χ₁ + χ₂) ÷ 2. y-axis: difference, Δχ.
  • Labels: metallic, ionic, polar covalent, covalent (the last two share one area).
  • Higher up means more ionic character. The right-hand scale gives % covalent.
Mission 7

Placing a compound, predicting its properties

  • Count each element once, whatever the formula. Use data-booklet electronegativities.
Compoundχ valuesxΔχRegionPredicted properties
KF0.8, 4.02.43.2ionic (at the apex)high melting point; conducts only when molten or dissolved
SiO₂1.9, 3.42.651.5polar covalent (about 50% covalent)no ions or free electrons: non-conducting
CCl₄2.6, 3.22.90.6low on the right, below the 75% covalent linemolecular: volatile, non-conducting
  • The triangle gives bond type, not structure: SiO₂ is a network, CO₂ (3.0, 0.8) molecular.
Calculate

Copper(II) chloride, CuCl₂. Data-booklet electronegativities: Cu 1.9, Cl 3.2.

aCalculate the average electronegativity (x-coordinate).
bCalculate the electronegativity difference, Δχ.
Quick check
?The position of a binary compound in the bonding triangle is found from the electronegativities of its two elements. In the triangle the metallic vertex is at the bottom left, the covalent vertex at the bottom right and the ionic vertex at the top; the two bottom vertices are elements, for which Δχ = 0. For aluminium chloride, AlCl₃, χ(Al) = 1.6 and χ(Cl) = 3.2. What is the x-coordinate of AlCl₃ in the bonding triangle?
Mission check

?With χ(Sn) = 2.0 and χ(Cl) = 3.2, tin(IV) chloride, SnCl₄, has an electronegativity difference of 1.2 and an average electronegativity of 2.6. Sodium chloride has an electronegativity difference of 2.3. Which prediction about SnCl₄ is correct?
Mission 8

Mission 8: When a plastic softens in heat, what is breaking?

Make a guess: When a plastic softens in heat, what is breaking?

Mission 8

Polymers

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chainsdotted red: forces between chainsone chain, magnifiedrepeating unitcovalent bonds along the chain
  • A polymer is a macromolecule: many small monomers joined by covalent bonds.
  • Natural: cellulose, starch, proteins, DNA, natural rubber. Synthetic: PVC, nylon, polyesters.
  • Plastics don't conduct: every electron is held in a localized bond.
  • Many plastics (thermoplastics) soften when heated: forces between chains are overcome. Chains stay intact.
  • They last for decades: strong, non-polar C–C and C–H bonds react very slowly.
Quick check
?Which statement about polymers is correct?
Mission 8

Addition polymers

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polymerization of chloroetheneCH₂CHClCH₂CHClCH₂CHCl++three monomersC=C opensClClClnrepeating unit: –CH₂–CHCl–main chain: single bonds only
  • One bond of each alkene's C=C breaks, and the carbons link to neighbouring monomers.
  • Nothing else is made: the polymer contains every atom of the monomers.
  • Chloroethene, CH₂=CHCl → poly(chloroethene), PVC: [–CH₂–CHCl–]ₙ.
  • The repeating unit keeps the two former C=C carbons in the chain. Other groups hang off.
  • Back to the monomer: take two main-chain carbons and restore the C=C.
Quick check
?Propene, CH₂=CHCH₃, forms the addition polymer poly(propene), written as [repeating unit]ₙ. Which option gives the repeating unit and describes it correctly?
Quick check
?1,1-Dichloroethene, CH₂=CCl₂, forms an addition polymer. Which shows the polymer correctly?
Mission 8AHL

Condensation polymers: polyamides

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formationH₂N(CH₂)₄NH₂ + HOOC(CH₂)₄COOH−2 H₂Oper repeating unitNHCO[NH(CH₂)₄(CH₂)₄CO]ₙamide link inside the unitCONH~(CH₂)₄(CH₂)₄NH~amide link between unitstwo links per repeating uniteach unit releases 2 H₂O
  • Two functional groups react, joining monomers and releasing a small molecule: H₂O, or HCl.
  • HCl comes from an acyl chloride, –COCl. Each monomer needs two reacting groups.
  • Polyamide: –NH₂ + –COOH → amide link –CONH– + H₂O.
  • H₂N(CH₂)₄NH₂ + HOOC(CH₂)₄COOH → repeating unit –NH(CH₂)₄NHCO(CH₂)₄CO–.
  • Two links per repeating unit, so two H₂O are released per unit.
Mission 8AHL

Polyesters and hydrolysis

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formation and hydrolysisHOCH₂CH₂OH + HOOC(CH₂)₂COOHcondensation−2 H₂Ohydrolysis+ 2 H₂OOOC[OCH₂CH₂(CH₂)₂CO]ₙester link inside the unitCOO~(CH₂)₂CH₂CH₂O~ester link between unitstwo links per repeating uniteach unit releases 2 H₂O
  • Polyester: –OH + –COOH → ester link –COO– + H₂O.
  • HOCH₂CH₂OH + HOOC(CH₂)₂COOH → repeating unit –OCH₂CH₂OOC(CH₂)₂CO–.
  • Proteins (polyamides of amino acids), starch, cellulose and DNA all form by condensation.
  • Hydrolysis is the reverse: water breaks the links and gives back the monomers.
Quick checkAHL
?A polyamide has the repeating unit –NHCH₂CH₂NHCO(CH₂)₂CO–. Which pair of monomers forms it?
Quick checkAHL
?Ethane-1,2-diol, HOCH₂CH₂OH, and hexanedioic acid, HOOC(CH₂)₄COOH, react to form a polyester. Which option gives the repeating unit and describes it correctly?
Quick checkAHL
?Which statement about biological macromolecules is correct?
Mission check

?Poly(ethene) is a plastic that softens when heated and can then be moulded into a new shape. What happens in the plastic as it softens?
Recap

The big ideas

  • Ionic: charges from configurations; lattice enthalpy rises with ion charge, falls with radius.
  • Covalent: both nuclei attract a shared pair; more pairs, shorter and stronger. VSEPR gives shapes.
  • Polarity needs polar bonds and a non-cancelling shape. Similar mass: London < dipole–dipole < hydrogen bonding.
  • Networks melt very high; C₆₀ is molecular. RF = spot ÷ solvent distance, from the baseline.
  • Metals: cations in delocalized electrons; alloys harder. Triangle: average χ and Δχ. Addition polymers: C=C opens.
  • AHLFormal charge, expanded octets, σ/π, hybridization, resonance, benzene, d electrons, condensation polymers.
🏆

Mini-lesson complete!

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You've worked through Models of bonding and structure for IB Diploma Chemistry HL. 🎉

  1. Mission 1Salt is made of charged particles. So why doesn't a salt crystal conduct electricity?
  2. Mission 2Air is 78% nitrogen. Why does almost nothing react with it?
  3. Mission 3Water and carbon dioxide both have three atoms. Why is one bent and the other straight?
  4. Mission 4Water and methane molecules have almost the same mass. Why does water boil over 260 °C higher?
  5. Mission 5Diamond and graphite are both pure carbon. Why does only graphite conduct electricity?
  6. Mission 6Benzene is drawn with three double bonds. So why doesn't it react like an alkene?
  7. Mission 7Tin conducts electricity. So why doesn't liquid tin(IV) chloride conduct at all?
  8. Mission 8When a plastic softens in heat, what is breaking?

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