Chemical Bonding
and Structure

Singapore Junior Chemistry Olympiad

By the end of this chapter, you can answer

1

Why does a copper wire bend when you hammer it, while a salt crystal shatters?

2

Why does salt conduct electricity when molten or dissolved, but not as a solid?

3

Oxygen forms only two bonds with fluorine, so how can sulfur form six in SF6?

4

Why is a water molecule bent while carbon dioxide is straight, and why does that make only water polar?

5

Water (Mr 18) boils at 100 °C, but the heavier H2S (Mr 34) boils at −60 °C. Why?

6

Diamond and graphite are both pure carbon. Why is one the hardest natural substance and the other soft enough to write with?

Recall: Chapter 2

1How many valence electrons does a chlorine atom (2.8.7) have?

7, in its outer shell.

2A sodium atom loses one electron. What does it become?

A cation, Na+, with the configuration 2.8, the same as neon.

3Why are the noble gases so unreactive?

Their valence shells are full. In this chapter other atoms lose, gain or share electrons to reach the same arrangement.
1

The Periodic Table and the Octet

  • Period number = number of occupied shells
  • Group number gives the valence electrons: Groups 1 and 2 directly, Groups 13 to 18 take away 10
  • Cl: Period 3, Group 17, so 2.8.7
  • The staircase: metals on the left, non-metals on the right, metalloids along it
1

The Periodic Table and the Octet

The atom's goal in life: a full outer shell of eight electrons, an octet, like the noble gases (helium has two, a duplet). Every bond in this chapter is a way to reach it: atoms lose, gain or share electrons.

Metals

Few valence electrons (1 to 3). Losing a few is far easier than gaining many, so they lose electrons and form positive ions.

Less electronegative: their electrons are easily lost.

Non-metals

Close to 8 already (4 to 7). Gaining a few is far easier, so they gain or share electrons.

More electronegative: they pull electrons towards themselves. F is the most electronegative.

NoteThis is a first picture. Chapter 8 explains the real reasons for electronegativity.
1

The Periodic Table and the Octet

Your turnUse the Periodic Table to give the number of shells and of valence electrons in (a) magnesium and (b) sulfur.

(a)
Period 3, Group 2: 3 shells, 2 valence electrons (2.8.2)[1]
(b)
Period 3, Group 16: 3 shells, 6 valence electrons (2.8.6)[1]

Your turnDoes a calcium atom reach an octet more easily by losing or by gaining electrons? Explain.

By losing: Group 2, so 2 valence electrons.[1]
Losing two is far easier than gaining six, so it forms Ca2+.[1]
2

Why Atoms Bond

Atoms lose, gain or share valence electrons to reach a noble gas configuration. Every bond is an electrostatic attraction.

Strong bonds: attraction between …
metallicpositive metal ions and a sea of delocalised electrons
ionicoppositely charged ions (metal with non-metal)
covalenta shared pair of electrons and the nuclei of both atoms (non-metals)

Molecules also attract one another by much weaker intermolecular forces (section 7).

3

Ionic Bonding

An atom forms the ion that reaches an octet by moving the fewest electrons. Group 1 loses 1 rather than gain 7: Na → Na⁺ + e⁻. Group 17 gains 1 rather than lose 7: Cl + e⁻ → Cl⁻. Group 14 would need 4, so C and Si share instead.

group1213151617
charge+1+2+3−3−2−1

3.1Formulae

The charges must add up to zero. Brackets go round a polyatomic ion when you need more than one.

MgCl2
+2 + 2(−1) = 0
Al2O3
2(+3) + 3(−2) = 0
Ca(NO3)2
brackets keep NO3− together
3

Ionic Bonding

A polyatomic ion is a group of covalently bonded atoms with an overall charge. Its charge does not follow from a group, so it must be learnt.

Transition metals can form more than one ion, so the charge goes in brackets in the name: iron(II) Fe2+, iron(III) Fe3+.

Learn these ions

polyatomic ionformulaother ionsformula
ammoniumNH4+hydrogenH+
hydroxideOH−silverAg+
nitrateNO3−zincZn2+
hydrogencarbonateHCO3−copper(II)Cu2+
carbonateCO32−iron(II)Fe2+
sulfateSO42−iron(III)Fe3+
phosphatePO43−
3

Ionic Bonding

Your turnWrite the formulae of potassium oxide, iron(III) chloride and ammonium sulfate.

K2O, FeCl3, (NH4)2SO4.

Quick checkWhat is the formula of aluminium sulfate?

AAlSO₄
BAl₂SO₄
CAl₂(SO₄)₃
DAl₃(SO₄)₂
NoteC: two Al³⁺ (+6) balance three SO₄²⁻ (−6). Brackets keep the sulfate ion together.
3

Ionic Bonding

3.2Dot-and-cross diagrams

  • Mg loses its 2 valence electrons (crosses), O gains them.
  • Show valence electrons only, as dots and crosses.
  • Each ion in square brackets, charge outside.
  • Number of each ion in front: [Ca]2+ 2[F]−.
3

Ionic Bonding

Ionic bond: the strong electrostatic attraction between oppositely charged ions. The solid is a giant ionic lattice.
DefinitionCoordination number: the number of oppositely charged ions around an ion.
NaCl4 Cl⁻ surround each Na⁺ in this layer, one more sits above and one below: coordination number 6.
3

Ionic Bonding

3.3Properties

  • High melting points: a lot of energy is needed to overcome the strong attraction between ions.
  • Conduct only when molten or dissolved: the ions must be mobile. In the solid they are fixed.
  • Hard but brittle: pushed along one ion, like charges meet and repel.
  • Often soluble in water, insoluble in hexane and oil.
3

Ionic BondingCore · A Level

3.4Covalent character

  • A small, highly charged cation polarises the anion's electron cloud: electrons are partly shared.
  • Polarising power rises with charge density, charge ÷ radius.
  • Larger anions are polarised more easily. AlCl3 is covalent, NaCl and AlF3 are ionic.
4

Metallic Bonding

Metallic bond: the strong electrostatic attraction between a lattice of positive metal ions and a sea of delocalised electrons.

AnalogyEach atom puts its valence electrons into a shared pool. The pool is the glue that holds the positive ions together.

4

Metallic Bonding

  • Conduct electricity and heat as solid and liquid: the delocalised electrons are mobile.
  • Malleable and ductile: layers slide, and the sea of electrons still holds them together.
  • Usually high melting points.
4

Metallic Bonding

4.1Alloys

An alloy is a mixture of a metal with one or more other elements: brass (copper and zinc), steel (iron and carbon).

Atoms of a different size disrupt the regular layers, which can no longer slide easily.

Alloys are harder and stronger but less malleable, and melt over a range.

5

Covalent Bonding

DefinitionCovalent bond: the strong electrostatic attraction between a shared pair of electrons and the nuclei of the two atoms. Unshared pairs are lone pairs.
Cl₂one shared pair
O₂a double bond
N₂a triple bond
H₂Otwo lone pairs on O
NH₃one lone pair on N
CH₄four shared pairs
CO₂two double bonds
NH₄⁺a dative pair (xx)
5

Covalent Bonding

5.1Drawing steps: CO₂

  1. Central atom: forms the most bonds, or is the least electronegative. Never H.
  2. For an ion, add or remove electrons for the charge. Square brackets, charge outside.
  3. Give every atom an octet with single, double or triple bonds: C forms 4, N 3, O 2, Cl 1 and H 1.
  4. A Period 2 atom holds at most 8 valence electrons.
5

Covalent BondingCore · A Level

5.2Exceptions to the octet rule

typeexamples (electrons around the central atom)
fewer than 8 (electron-deficient)BeCl₂ (4), BF₃ (6), AlCl₃ (6)
more than 8 (expanded octet)PCl₅ (10), SF₆ (12)
odd number (radicals)NO, NO₂

Period 3 atoms have empty 3d orbitals close in energy, so they can expand the octet. Period 2 atoms cannot, so NCl₅ does not exist.

5

Covalent BondingCore · A Level

5.3σ and π bonds

Definitionσ bond: head-on overlap of orbitals, between the nuclei.
Definitionπ bond: sideways overlap of p orbitals, above and below the line between the nuclei.
5

Covalent BondingCore · A Level

  1. Sideways overlap is less effective: a π bond is weaker than a σ bond.
  2. A π bond forms only after a σ bond has brought the atoms close.
bondσπ
single10
double11
triple12

Quick checkHow many σ and π bonds are in ethene, H₂C=CH₂?

A4 σ, 2 π
B5 σ, 1 π
C6 σ, 0 π
D4 σ, 1 π
NoteB: four C–H single bonds (4 σ) and one C=C double bond (1 σ + 1 π).
5

Covalent BondingCore · A Level

5.4Dative bonds

DefinitionDative bond: a covalent bond in which one atom donates a lone pair into an empty orbital of the other.
  • Drawn as an arrow from donor to acceptor. Once formed, it is identical to any covalent bond.
  • H₃O⁺ forms as NH₄⁺ does. In H₃N→BF₃ the pair goes to the electron-deficient B.
  • Al₂Cl₆: a Cl of each AlCl₃ donates a lone pair to the other Al, so each Al gets an octet.
5

Covalent Bonding

Your turnDraw the dot-and-cross diagrams of (a) H₂O and (b) N₂. Show outer electrons only.

NoteO is central with 2 lone pairs. N₂ needs a triple bond so each N has an octet.
6

Shapes of MoleculesCore · A Level

  1. Electron pairs round the central atom are arranged as far apart as possible.
  2. Repulsion: lone pair–lone pair > lone pair–bond pair > bond pair–bond pair
  • A lone pair is held closer to the nucleus, so it repels more.
  • A double or triple bond counts as one region.

AnalogyRival campers on a tiny round planet pitch their tents as far apart as they can.

6

Shapes of MoleculesCore · A Level

6

Shapes of MoleculesCore · A Level

Each basic shape (dotted) gives the others: replace bond pairs by lone pairs one at a time. The shape is named from the positions of the atoms only.

6

Shapes of MoleculesCore · A Level

AnalogyA lone pair is a camper with a bigger tent: it pushes the other tents closer together.

Worked exampleShape of NH₃
  1. There are 3 bond pairs and 1 lone pair around N
  2. To minimise repulsion, the 4 pairs are as far apart as possible
  3. NH₃ is trigonal pyramidal, bond angle 107°
6

Shapes of MoleculesCore · A Level

Counting the pairs on an ion

Take the central atom's valence electrons, add one for each singly bonded atom, take away a positive charge or add a negative charge, then halve the total.

ionpairsbond and lone pairsshape
PCl₄⁺(5 + 4 − 1)/2 = 44 bp, 0 lptetrahedral
ICl₄⁻(7 + 4 + 1)/2 = 64 bp, 2 lpsquare planar

Oxygen usually joins by a double bond, as in CO₂ and SO₂. In an oxoanion, the charge says how many O⁻ have a single bond instead. ClO₃⁻ has one O⁻ and two =O, which leaves Cl one lone pair: 3 bp, 1 lp, trigonal pyramidal.

6

Shapes of MoleculesCore · A Level

Your turnState the shape and bond angle of (a) BF₃, (b) H₂O, (c) SF₆, (d) XeF₄.

(a)
3 bond pairs: trigonal planar, 120°
(b)
2 bond pairs, 2 lone pairs: bent, 104.5°
(c)
6 bond pairs: octahedral, 90°
(d)
4 bond pairs, 2 lone pairs opposite: square planar, 90°
Going furtherNF₃ (102°) < NH₃ (107°): F pulls the bonding pairs away from N, so there is less crowding. H₂O (104.5°) > H₂S (92°): O pulls the bonding pairs closer to itself.
7

Electronegativity and PolarityCore · A Level

DefinitionElectronegativity: the ability of an atom to attract the shared pair of electrons in a covalent bond.
  • Increases across a period and decreases down a group: the most electronegative elements are at the top right.
  • Chapter 8 explains why.
  • Different atoms: the more electronegative one gets δ−, the other δ+. The bond is polar.
7

Electronegativity and PolarityCore · A Level

  1. Find the polar bonds
  2. Work out the shape
  3. Do the dipoles cancel? If not, the molecule is polar

AnalogyA tug of war: equal teams pulling opposite ways go nowhere (CO₂). Pull at an angle and the rope moves (H₂O).

7

Electronegativity and PolarityCore · A Level

Your turn(a) Which is more polar, C–Cl or C–F? (b) Why is CCl₄ non-polar?

(a) C–F: F is more electronegative than Cl.
(b) It is tetrahedral and symmetrical, so the four dipoles cancel.

Quick checkWhich molecule is polar?

ACCl₄
BBF₃
CCO₂
DCHCl₃
NoteD: one C–H replaces a C–Cl, so the dipoles no longer cancel. The others are symmetrical.
8

What Makes a Bond Strong

8.1Ionic bonds

The attraction is stronger when the ions have larger charges and are smaller.

  • Down a group, ions get larger (more shells).
  • Na+ > Mg2+ > Al3+: same electrons, more protons.

Worked exampleWhy does MgO (2852 °C) melt higher than Na₂O (1132 °C)?

  1. Both are giant ionic lattices.
  2. Mg²⁺ has a higher charge and a smaller radius than Na⁺.
  3. The attraction to O²⁻ is stronger, so more energy is needed to overcome it.
8

What Makes a Bond Strong

8.2Metallic bonds

The metallic bond is stronger when

  1. each atom gives more electrons to the sea
  2. the ions have a higher charge and a smaller radius

Na (98 °C) < Mg (650 °C) < Al (660 °C): 1, 2 and 3 electrons per atom.

8

What Makes a Bond Strong

8.3Covalent bonds: bond energy and length

DefinitionBond energy: the energy needed to break one mole of a bond between atoms in the gaseous state. Cl₂(g) → 2Cl(g) needs +244 kJ mol⁻¹.
DefinitionBond length: the distance between the two nuclei. Shorter usually means stronger.
  1. Larger atoms: more diffuse orbitals overlap less, so the bond is weaker
  2. More shared pairs: stronger. C=C is less than twice C–C as π is weaker than σ
  3. Polarity adds attraction: N–H 390 < O–H 460 < F–H 562
8

What Makes a Bond Strong

Your turnWhich melts higher, NaF or CsCl? Explain.

NaF. The charges are the same, but Na⁺ and F⁻ are smaller than Cs⁺ and Cl⁻.
The attraction is stronger, so more energy is needed to overcome it.

Quick checkWhich compound has the highest melting point?

ANaCl
BMgO
CKCl
DNaBr
NoteB: Mg²⁺ and O²⁻ both carry a charge of 2 and are small. The others are all +1 and −1 ions.
9

Intermolecular Forces

In a simple molecular substance, strong covalent bonds hold each molecule together, but only weak intermolecular forces hold the molecules to one another.

  • Melting and boiling overcome only the intermolecular forces, so the melting and boiling points are low. Many are volatile: they evaporate easily.
  • No conduction: the molecules carry no overall charge. In water, HCl forms mobile H⁺ and Cl⁻ ions, so the solution conducts.
  • Three kinds, weakest to strongest between similar molecules: id–id, pd–pd, hydrogen bonds.
9

Intermolecular ForcesCore · A Level

9.1Instantaneous dipole–induced dipole (id–id)

  1. Moving electrons give an instant when one side has more electron density
  2. This instantaneous dipole induces a dipole in a neighbour
  3. The two attract. id–id acts between all molecules, and is the only force between non-polar ones
9

Intermolecular ForcesCore · A Level

What makes id–id stronger?

  • More electrons: a more easily distorted cloud. F₂ −188 °C, Cl₂ −34 °C, Br₂ 59 °C
  • More surface contact: pentane (a chain) 36 °C, its compact isomer 2,2-dimethylpropane 10 °C

AnalogyTwo strips of tape stick along their length, two balls touch at one point.

9

Intermolecular ForcesCore · A Level

9.2Permanent dipole–permanent dipole (pd–pd)

The δ+ end of one polar molecule attracts the δ− end of the next. pd–pd acts in addition to id–id.

compoundMrpolarityb.p. / °C
propene42non-polar−48
ethanal44polar20
CH₃Cl50.5more polar−24
CH₃Br94.9less polar4
  • Similar electrons: the polar molecule boils higher.
  • Very different electrons: stronger id–id can outweigh pd–pd.
9

Intermolecular ForcesCore · A Level

9.3Hydrogen bonding

DefinitionHydrogen bond: the attraction between an H bonded to F, O or N and a lone pair on F, O or N of another molecule.

F, O and N are so electronegative that the H is almost a bare proton, and their lone pairs are small and concentrated.

Draw the lone pair, the δ+ and δ− charges, and label the bond.

9

Intermolecular ForcesCore · A Level

AnalogyEach H on F, O or N is a hand, each lone pair a handle. One hydrogen bond is one hand holding one handle, so the number per molecule is the smaller of the two.

moleculehandshandlesH bonds
H₂O222
HF131
NH₃311

So H₂O (100 °C) > HF (20 °C) > NH₃ (−33 °C): H–F is more polar than N–H.

9

Intermolecular ForcesCore · A Level

Boiling points of hydrides / °C

H₂O, HF and NH₃ boil far higher than the rest of their groups: they have hydrogen bonds.

Worked exampleExplain why water (Mr 18) boils at 100 °C but H₂S (Mr 34) at −60 °C.

  1. Both have simple molecular structures
  2. H₂O has hydrogen bonds: H on O, and O has lone pairs
  3. More energy is needed to overcome these than the weaker id–id and pd–pd in H₂S
9

Intermolecular ForcesCore · A Level

Going furtherDimers

Ethanoic acid dissolved in benzene has an apparent Mr of 120, not 60.

Its molecules pair up, held by hydrogen bonds.

Going furtherWithin one molecule

2-nitrophenol boils at 216 °C, its isomer 4-nitrophenol at 279 °C.

The groups of 2-nitrophenol are close enough to hydrogen bond within the molecule, so fewer sites are left for hydrogen bonds between molecules.

9

Intermolecular ForcesCore · A Level

Ice and solubility

  1. In ice each water molecule forms hydrogen bonds to 4 others in an open structure
  2. The molecules sit further apart than in the liquid, so ice is less dense and floats

Like dissolves like. Polar, hydrogen-bonded and many ionic substances dissolve in water. Non-polar substances (oils, iodine) dissolve in hexane. Hexane and water do not mix.

9

Intermolecular Forces

Your turn(a) Which can form hydrogen bonds between their own molecules: CH₄, CH₃OH, HCl, NH₃? (b) Put Cl₂, Br₂, I₂ in order of boiling point.

(a) CH₃OH and NH₃: H on O or N, with a lone pair.
(b) Cl₂ < Br₂ < I₂: more electrons, stronger instantaneous dipole–induced dipole.

Quick checkWhich has the highest boiling point?

ACH₄
BNH₃
CH₂O
DHF
NoteC: water forms the most hydrogen bonds per molecule, 2.
10

Giant Covalent Structures

Diamond
  • Each C bonded to 4 others, tetrahedrally
  • Very high melting point and very hard: many strong covalent bonds
  • No conduction: all valence electrons are in bonds
Graphite
  1. Each C bonded to 3 others in layers of hexagons
  2. The fourth electron is delocalised in each layer: conducts along the layers
  3. Soft and slippery: weak forces between layers let them slide
NoteDiamond and graphite are allotropes of carbon: one element, different arrangements of atoms. SiO₂ is like diamond and melts at 1710 °C, while CO₂ is a gas at room temperature.
10

Structure and Properties

structurem.p. and b.p.electrical conductivitysolubility in water
giant ionichighonly molten or dissolvedoften soluble
giant metallicusually highgood, solid and liquidinsoluble (some react)
giant covalentvery highnone (graphite conducts)insoluble
simple molecularlownonedepends on polarity
10

Structure and Properties

Worked exampleZ melts at 801 °C, does not conduct as a solid, but conducts when molten. Suggest its structure.

  1. High melting point: not simple molecular
  2. Conducts only when molten: ions become mobile
  3. Z is giant ionic

Your turnExplain why SiO₂ melts at 1710 °C but CO₂ is a gas at room temperature.

SiO₂ is giant covalent: melting breaks many strong covalent bonds.
CO₂ is simple molecular: only weak instantaneous dipole–induced dipole forces between molecules are overcome.

Exit ticket

1Why can metals be hammered into shape?

Layers of ions slide, and the sea of delocalised electrons still holds them together.

2Shape and bond angle of H₂O?

2 bond pairs and 2 lone pairs: bent, 104.5°

3Why is CO₂ non-polar although C=O is polar?

It is linear, so the two bond dipoles cancel.

4Why does ice float on water?

Hydrogen bonds hold the molecules in an open structure, further apart than in the liquid.