Year 12

AQA A level Chemistry Chemical Bonding Notes

Chemical Bonding & Intermolecular Forces

— Chemistry · AS Level (7405) · Crash Course notes —
★ Exam Tip: Sir's rule for the whole chapter: learn the exact definitions (ionic, metallic, covalent, dative, electronegativity, H-bond…) — write the definition, not the "story". Every year there are dot-and-cross / H-bond diagrams (2–4 marks each) — one missing lone pair or δ sign = lost marks. Chapter also feeds States of Matter, so it is worth mastering.

1. Ionic Bonding

Ionic bond: the strong electrostatic force of attraction between a positive metal cation and a negative non-metal anion.

Exam wording: when asked for the definition write only this line. Do not write "metal loses e⁻, non-metal gains e⁻" — that is the story, not the definition. Also avoid the word "sharing" anywhere near ionic bonding (examiner may cancel it) — electrons are transferred.
  • Metal atom gives its electron(s) to the non-metal atom to reach a stable configuration → metal = cation, non-metal = anion.
  • Ionic compounds always form a giant rigid lattice (regular arrangement of alternating + / − ions); the big lattice can be broken into pieces and it is still NaCl.
  • High m.p. — ionic bonds are strong, lots of energy needed to break them (they are broken on melting/boiling).
  • Solid: does not conduct; molten or aqueous: conducts — because ions are then free to move.
  • Dissolve well in water — water can form new, strong intermolecular forces (ion–dipole) with the ions, favouring dissolving.
○ Cl⁻○ Na⁺giant lattice of NaCl
NaCl: alternating Na⁺/Cl⁻ in a 3-D lattice
Na⁺OOOOOOδ−δ−δ−δ−δ−δ−O (δ−) end of H₂O points at Na⁺
water dissolving NaCl: δ− oxygens surround Na⁺ (Cl⁻ is surrounded by δ+ H's)

Why soluble: water is polar/has H-bonding, so it attracts the ions and new intermolecular forces are made — this favours dissolving. (Cl⁻ is surrounded with the δ+ hydrogens facing it.)

Dot-and-cross diagrams — ionic (outer shell electrons only)

Quick recap only: the examiner usually does not ask ionic dot-and-cross now (that was O-level), but be able to do NaCl, MgO, CaF₂: draw the transfer arrow, then square brackets with charge and the new outer shell (2,8 or 2,8,8).
+ − NaClNaCl +2,8 (like Ne)2,8,8 (like Ar)
NaCl: Na gives its 1 outer e⁻ to Cl → [Na]⁺ and [Cl]⁻ (8 outer e⁻ each)
2+ 2− MgOMgO 2,8 (like Ne)2,8 (like Ne)+
MgO: Mg gives 2 e⁻ to one O → [Mg]²⁺ and [O]²⁻, both 2,8
2+ − − CaFFCaFF 2,8,8 (Ar)2 × 2,8 (Ne)++ 2
CaF₂: Ca gives 1 e⁻ to each of two F → [Ca]²⁺ + 2[F]⁻

2. Metallic Bonding

Metallic bond: strong force of electrostatic attraction between positive cations and the delocalised sea of electrons.

  • Metal atoms lose valence electrons → positive cations; the electrons are delocalised and form a "sea" around them.
  • Cations are packed in a regular lattice.
  • High m.p. / b.p. — metallic bonds are very strong.
  • Good conductors in any state — free-moving electrons (unlike ionic: no state restriction).
  • Insoluble in water.

Q. Show metallic bonding in Na and in Mg

Na+ Na+ Na+ Na+ Na+ Na+ Na+ Na+
Na: cations (+) in a sea of 1 delocalised e⁻ (×) each
Mg2+ Mg2+ Mg2+ Mg2+ Mg2+ Mg2+ Mg2+ Mg2+
Mg: 2+ cations, 2 delocalised e⁻ per atom
How to draw it (examiner follows a method): draw the cations in a regular pattern, put free electrons between them, count carefully — the examiner counts the delocalised electrons (Na: 1 each, Mg: 2 each) — and give a key (cation / electron symbol) since you don't have colours.
Strength of metallic bonding ↑ with: ① greater cationic charge   ② greater number of delocalised e⁻   ③ smaller ionic radius
Q. Rank Na, Mg, Al in order of increasing melting point.
Charges: Na⁺ < Mg²⁺ < Al³⁺ (and radius decreases across the period).
Ans: Na < Mg < Al — more charge, more delocalised e⁻, smaller radius ⇒ stronger metallic bond. Sir's note: if charge alone tells the story, stop — only add radius/electron count if the examiner asks for a reason.

3. Covalent Bonding

Covalent bond: the force of attraction between the nuclei and a shared pair of electrons.

  • Atoms share electrons to achieve a stable configuration (each shared pair = one bond).
  • Can form giant covalent or simple molecular structures.
  • Usually insoluble in water.
  • O only needs 2 more e⁻, so with C it shares 2 pairs (double bond) — an atom shares only as many pairs as it needs.

Dot-and-cross diagrams (outer shell only) — the course examples

Exam Tip: These are very, very important — every student must know them; the examiner gives them one level up (e.g. SCl₂, Cl₂O, O₂²⁻). Draw with × for one atom, • for the other, show all lone pairs, and never mix up "dot & cross" with "cross & cross".accepts simple hand-drawn circles — but a missed lone pair loses marks. Draw the outer shells inside each other (overlap) — it is neater than drawing full circles.
HH
1) H₂
OO
2) O₂ (double)
NN
3) N₂ (triple)
ClCl
4) Cl₂
HCl
5) HCl
OCO
6) CO₂ (two double bonds)
NHHH
7) NH₃ (1 lone pair on N)
CHHHH
8) CH₄
CCHHHHHH
9) C₂H₆ ethane
CCHHHH
10) C₂H₄ ethene — C=C double bond (4 shared e⁻)
Rules of thumb• H shares 1 pair → duplet• C : 4 bonds, no lone pair• N : 3 bonds + 1 lone pair• O : 2 bonds + 2 lone pairs
valency & lone pairs

Past-paper dot-and-cross questions

S₂Cl₂(l) + Cl₂(g) ⇌ 2SCl₂(l), ΔH = −40.6 kJ mol⁻¹Structured · dot-and-cross

(i) Complete the dot-and-cross diagram for SCl₂ (outer electrons only).

S (group 16) has 6 outer e⁻ → uses 2 in two S–Cl bonds, keeps 2 lone pairs; each Cl keeps 3 lone pairs.

SClCl
SCl₂: S has 2 bonding pairs + 2 lone pairs (V-shaped)

Answer: S × two shared pairs, 2 lone pairs on S, 3 lone pairs on each Cl.

Cl₂OStructured · dot-and-cross

Draw a dot-and-cross diagram of Cl₂O (outer shell only).

O is the central atom: 2 bonding pairs (one to each Cl) + 2 lone pairs on O; every Cl has 3 lone pairs.

OClCl
Cl₂O — O in the middle, two bond pairs, two lone pairs

Answer: O(centre) shares one pair with each Cl; 2 lone pairs on O, 3 on each Cl.

peroxide ion, O₂²⁻Structured · ion dot-and-cross

The peroxide ion has a single covalent bond between the two O atoms; each O carries a negative charge. Draw the dot-and-cross diagram.

Each O has 6 outer e⁻ + 1 extra (gained from the other species that makes the 2− charge) → 7. One e⁻ goes into the single bond, so each O keeps 3 lone pairs. Put square brackets and 2− outside.

OO 2−○ = electrons from another species
[O–O]²⁻ : 1 bonding pair, 3 lone pairs on each O; the 2 extra e⁻ shown as ○

Answer: [ :Ö–Ö: ]²⁻ with brackets and charge; extra electrons marked separately.

CO — coordinate bondStructured · dot-and-cross (C = ×, O = •)

Carbon monoxide is a gas that contains a coordinate (dative) bond. Draw the dot-and-cross diagram showing outer electrons.

C (4 e⁻) and O (6 e⁻): two pairs formed by one × and one •, and the third pair has both electrons from O (its lone pair → dative bond O→C). Each atom keeps one lone pair: C = ××, O = ••. So C≡O has 3 bonds, 1 dative and 2 lone pairs in total.

CO 3rd pair: both e⁻ from O (dative)
C≡O: 2 normal covalent bonds + 1 dative (O → C); one lone pair on each atom

Answer: 6 shared e⁻ (× • | × • | • •) + 1 lone pair on C (××) + 1 on O (••).

Q18 — ammonium ionMCQ · dative arrow

The dative bond is shown by an arrow pointing towards the atom receiving the lone pair. Which diagram of NH₄⁺ is correct? (A, B: arrow points into N, charge + / −; C, D: arrow from N to H, charge + / −)

N donates its lone pair to H⁺, so the arrow goes N → H, and the ion is +.

A ✗ arrow points into N (wrong direction)B ✗ wrong direction and − charge C ✓ arrow N → H, charge +D ✗ right direction but − charge

Answer: C

Q6MCQ

Which type of bonding is never found in elements? A covalent · B ionic · C metallic · D van der Waals

Elements: covalent (Cl₂, diamond), metallic (Na), van der Waals (I₂, noble gases). Ionic needs two different kinds of atom (metal + non-metal).

Answer: B (ionic)

4. Dative (Coordinate) Bonding

Dative bond: formed when an atom uses its lone pair and contributes both electrons in the shared pair of electrons.

Lone pair: a pair of valence electrons not bonded to any other species (unshared pair).

Sir's warning: a dative bond is the same as a covalent bond once formed — only the origin of the two electrons differs (one atom gave both). The arrow (→) points from donor to acceptor.

★ The big case study — Al₂Cl₆ (know this by heart)

Metal + non-metal, so AlCl₃ "should" be ionic — but it isn't (reason: Al³⁺ has a huge polarising power — see §5). In AlCl₃ Al has only 6 e⁻ instead of 8 → electron deficient!

AlClClCl Al: 6 e⁻ only
AlCl₃ — only 6 e⁻ around Al; exists only as gas at very high T
AlAlClClClClClCldative bond ↘↗ dative bond
Al₂Cl₆ (dimer): each bridging Cl donates a lone pair to the other Al (arrows = dative bonds)
  • AlCl₃ is very unstable: ① exists as gas only at very high temperature ② Al is electron deficient.
  • It dimerises → Al₂Cl₆: two Cl atoms use their lone pairs to bond to the 2nd Al (2 dative bonds) → Al is no longer electron deficient → more stable.
  • Very high T breaks Al₂Cl₆ back into 2 AlCl₃. At 200 °C the gas has Mr = 267 = Al₂Cl₆.
  • Al₂Cl₆ = 8 bonds: 6 covalent + 2 dative, and 16 lone pairs (4 terminal Cl × 3 + 2 bridging Cl × 2).
Q9 (homework)MCQ · Al₂Cl₆

At 200 °C aluminium chloride is a gas with Mr = 267. How many covalent bonds, dative covalent bonds and lone pairs are in one molecule?

Mr(AlCl₃) = 27 + 3(35.5) = 133.5267 ÷ 133.5 = 2 ⇒ molecule is Al₂Cl₆ bonds: 8 in total = 6 covalent + 2 dativelone pairs = 4×3 + 2×2 = 16
A: 6, 2, 0 ✗B: 6, 2, 16 ✓C: 6, 2, 18 ✗D: 3, 0, 9 ✗ (that is AlCl₃)

Answer: B

Note: the board circle is on D, but D (3, 0, 9) describes AlCl₃ (Mr 133.5), not the dimer with Mr 267 — the working above gives B.

What favours dative bond formation?

① Electron deficiency (acceptor, e.g. Al in AlCl₃, B in BF₃, H⁺)    ② Presence of a lone pair (donor, e.g. N in NH₃, O in H₂O, Cl in AlCl₃)

In case of a base accepting H⁺ it is feasible because: ① it has a lone pair and ② an ionic bond can form (e.g. NH₄⁺Cl⁻) which is more stable than a covalent bond.

More examples (draw them as dot-and-cross, then as structural formula with →)

NHHHH[]⁺
NH₃ + H⁺ → NH₄⁺ (N donates lone pair)
OHHH⁺H₃O⁺
H₂O + H⁺ → H₃O⁺ (O donates)
FBFFNHHH
BF₃ + NH₃ → F₃B←NH₃ (B is electron deficient; N donates)
PHHHH[]⁺
PH₃ + H⁺ → PH₄⁺
1) NH₃ + HCl → NH₄⁺Cl⁻ionic equation: NH₃ + H⁺ + Cl⁻ → NH₄⁺ + Cl⁻NH₃ + H⁺ → NH₄⁺
2) H₂O + HCl → H₃O⁺ + Cl⁻H₂O + H⁺ + Cl⁻ → H₃O⁺ + Cl⁻H₂O + H⁺ → H₃O⁺
  • Cross out the spectator ion (Cl⁻) to write the ionic equation — the H⁺ has an empty orbital, no electrons, so N/O uses its lone pair.
  • H₃O⁺ and dative examples other than Al₂Cl₆/NH₄⁺ need not be memorised, but you must be able to work them out: find the lone pair (donor) and the electron-deficient / H⁺ (acceptor). The examiner often tells you it is a coordinate bond.
  • In the dot-and-cross diagram of the product all 4 N–H pairs look identical — the dative bond is only visible in the structural formula (arrow).
  • The examiner may draw the dot-and-cross differently to how you learned — don't get confused; just count electrons.
Q2(c) NH₃ + AlCl₃Structured · dative bond

(ii) The product Cl₃Al←NH₃ forms when ammonia reacts with aluminium chloride. Name the bond between N and Al and explain how it is formed.

Dative (coordinate) bond. Al in AlCl₃ is electron deficient (6 e⁻); the N in NH₃ has a lone pair and donates both electrons of the shared pair to Al.

Answer: dative covalent bond — N uses its lone pair, contributing both electrons of the shared pair to the electron-deficient Al.

Note: the board wrote "shares it completely with aluminium" — in your answer say "donates/contributes both electrons to the shared pair".

5. Polarisation of Ions (covalent character in ionic bonds)

In ionic bonding the cation can pull electron density from the anion, distorting its shape → some degree of covalent character develops.

Mg²⁺Cl⁻Mg²⁺Cl⁻attractionanion cloud pulled towards cation→ some covalent character
Mg²⁺ distorts the Cl⁻ electron cloud → partly covalent

Polarising power of a cation: the tendency of a cation to polarise an anion.
A cation has a greater polarising power if ① it has a greater positive charge ② it has a smaller ionic radius (charge density ↑).

Period 3 cations: Na⁺ → Mg²⁺ → Al³⁺ → Si⁴⁺charge ↑, radius ↓  ⇒  polarising power ↑

Polarisability of an anion: the ease with which an anion can be polarised.
An anion has greater polarisability if ① greater negative charge ② greater ionic radius.

Period 3 anions: N³⁻ → O²⁻ → F⁻charge ↓, radius roughly same  ⇒  polarisability ↓
Memory trick (sir): polarisability: charge ↑↓  / radius ↑↓ (both go the same way)  |  polarising power: charge ↑↓ / radius ↓↑ (opposite ways). Polarisation is not "polarity of a bond" — don't confuse the two names.
Q. Rank the anions in order of increasing polarisability: F⁻, Cl⁻, S²⁻Ranking

F⁻ has the smaller radius, Cl⁻ the bigger radius; S²⁻ has the greatest charge (and a big radius) ⇒ greatest polarisability.

Answer: F⁻ < Cl⁻ < S²⁻

Sir: fluorine essentially never forms covalent compounds with a cation; chlorine does (AlCl₃).

Q2 — least covalent characterMCQ

Which has the least covalent character? A LiCl (Li⁺) · B MgCl₂ (Mg²⁺) · C KCl (K⁺) · D SiCl₄ (Si⁴⁺)

Least covalent character = least polarisation = cation with smallest charge and biggest radius → K⁺ (charge +1, large).

Answer: C (KCl)

Q. What factors favour ionic bonding?

Opposite of polarising power/polarisability:
Cation: smaller positive charge, greater cationic radius  |  Anion: smaller negative charge, smaller anionic radius.

Result: NaCl and MgCl₂ are ionic (low polarising power), while Al₂Cl₆ and SiCl₄ are covalent (Al³⁺, Si⁴⁺ have very high polarising power — they pull so hard the "ionic" compound ends up covalent). Same reason BeCl₂ is covalent, though O-level would call it ionic.

6. Polarity in Covalent Molecules

Electronegativity: the tendency of an atom to attract a shared pair of electrons towards itself.

Learn this — order of electronegativity →F > O > N ≈ Cl > …
  • F most electronegative, O 2nd, N & Cl about the same (3rd/4th).
  • C, H and I have similar electronegativity → C–H bond is (essentially) non-polar.
  • Use FONCl to work out any trend: electronegativity increases across a period (→ F) and decreases down a group.

Trends across the periodic table

Across a period ↑ because:

  1. nuclear charge increases
  2. shielding remains constant
  3. atomic radius decreases

⇒ more attraction between shared pair and nucleus

Down a group ↓ because:

  1. nuclear charge increases
  2. shielding also increases  (these two cancel each other out)
  3. atomic radius increases (more shells)

⇒ less attraction between shared pair and nucleus

F is top right — most EN↗ EN increases across & up↓ decreasesgroup 17 → F, Cl, Br, I
trend: EN ↑ towards F (top-right corner); ↓ down a group
Pauling scale (no need to learn!) H C N O F Na Mg Al Si P S Cl
value 2.1 2.5 3.0 3.5 4.0 0.9 1.2 1.5 1.8 2.2 2.5 3.0
ΔEN rule of thumb (learn):ΔEN > 1.8 ⇒ ionic  |  ΔEN < 1.8 ⇒ covalent
Examples
AlCl₃: 3.0 − 1.5 = 1.5 ⇒ covalent    AlF₃: 4.0 − 1.5 = 2.5 ⇒ ionic
Don't panic: the difference will never be exactly 1.8 — it will be clearly above or below.

Polarity in H–F (a polar bond)

HFδ+δ−H — Fδ+δ−
F pulls most of the e⁻ density → F is δ−, H is δ+. Dipole arrow points from δ+ to δ−

Fluorine is much more electronegative than H and pulls most of the electron density towards itself. Electrons spend more time near F, so F becomes partially negative (δ−) and H partially positive (δ+). Draw as H→F with the arrow pointing from δ+ to δ−.

Q. Predict the partial charges on…Polarity
1) H–Cl: H δ+, Cl δ− (arrow H→Cl) ✓ polar 2) H₂O: O δ−, each H δ+ (arrow points up towards O) ✓ polar (bent) 3) NH₃: N δ−, each H δ+ ✓ polar (pyramidal) 4) H–H: same species bonded together ⇒ non-polar (also O₂, N₂, Cl₂, F₂) 5) O=C=O: C=O bonds polar but molecule symmetrical ⇒ dipoles cancel ⇒ non-polar 6) CCl₄: 4 polar bonds, symmetrical ⇒ cancel ⇒ non-polar

Careful: a symmetrical shape alone is not enough — the outer atoms must also be the same species (e.g. CH₃Cl is not symmetrical in polarity). C–H bond is non-polar, so CH₄ is non-polar.

Polar bond meaning (structured Q): "one nucleus in the molecule pulls the shared pair of electrons more towards itself". H₂ = non-polar (both H pull with the same force); H₂O = polar because O has a much higher electronegativity than H.

Behaviour of polar molecules in an electric field

+++++−−−−−OOH δ+H δ+δ−H δ+H δ+δ−
near a + plate: δ− end (O) turns towards it; near a − plate: δ+ (H) ends turn towards it. Non-polar molecules do not line up.
Q32 (polar / no dipole)MCQ · symmetrical molecules

Which molecules have no overall dipole moment? 1 BF₃ ✓   2 CH₄ ✓   3 PF₅ ✓

BF₃ trigonal planar, CH₄ tetrahedral, PF₅ trigonal bipyramidal — all symmetrical with identical outer atoms ⇒ dipoles cancel. All three correct.

Q31 (gaseous polar molecules)MCQ

1 ammonia ✓ (pyramidal, N δ−) · 2 hydrogen sulfide ✓ (V-shaped) · 3 boron trifluoride ✗ (trigonal planar, symmetrical)

Q12 — EN vs first ionisation energyMCQ · graphs (Na, Mg, Al, Si)

EN rises Na < Mg < Al < Si (Si highest). 1st IE rises Na < Al < Mg < Si (Al dips below Mg — group 2→13 dip). The correct plot has Si top-right, Na bottom-left, Al higher than Mg on EN but lower on IE. Diagram A wrongly shows Al IE > Mg IE.

Answer: B

Q13 — which graph is electronegativity (Period 3)?MCQ

EN increases steadily Na → Cl (no dips, unlike IE/m.p.) ⇒ smoothly rising line. B decreases (atomic radius), A is m.p. (peak at Si), C is IE (dips at Al and S).

Answer: D

Q32 (CO)MCQ

CO has three bonds between C and O. Features: 1 two lone pairs ✓ (one on each atom) · 2 a dative bond from O to C ✓ · 3 two π bonds ✓ (triple bond = 1σ + 2π). All correct.

7. Intermolecular Forces

Intermolecular forces: forces of attraction between one molecule and a neighbouring molecule (these are broken in simple molecules on melting and boiling — not the covalent bonds).

Permanent dipole–dipole

H Cl H Clδ+δ−δ+δ−molecule must be polar
δ+ of one HCl attracts δ− of the next

Two polar molecules attract each other; the force is a permanent dipole–dipole interaction. Molecule must be polar. (Called "permanent" because of the δ+/δ− that is always there.) Somewhat strong — stronger than temporary dipoles.

Temporary (instantaneous) induced dipoles

Definition: the temporary force of attraction formed between electrons and nuclei due to electron density not being symmetrical at any instant. (Also called London forces / induced dipole — the examiner says "induced dipole".)

2+2+2+−−−−−− At some instant the electrons of He sit off-centre → a temporary dipole …… induces a dipole in the neighbour, and so onchain: δ−δ+ · δ−δ+ · δ−δ+
He: e⁻ cloud lop-sided at each instant (1: e⁻ at top/bottom, 2: off to one side …) → induces the next atom
  • Temporary dipoles exist in every substance (all molecules) — they are weaker than permanent dipoles.
  • Collectively temporary + permanent dipoles = van der Waals' forces.
  • If a molecule has both permanent and temporary dipoles, the strongest overall force is the permanent (+ temporary present too).
★ Trends of temporary dipoles: ① as the number of electrons increases, temporary dipole forces get stronger ⇒ m.p./b.p. ↑: F₂ < Cl₂ < Br₂ < I₂; He < Ne < Ar < Kr; CH₄ < C₂H₆ < C₃H₈ < C₄H₁₀ < C₅H₁₂. ② Straight chain molecules have stronger temporary dipoles than branched ones (more surface area for contact).
straight chain: more surface areabranched: less surface area
long chains lie side-by-side → many contact points → stronger temporary dipoles → higher m.p./b.p.
Q3 — lower boiling point (second substance)MCQ

A C₂H₆ vs C₂H₅Cl: 2nd has permanent dipole ↑ (higher b.p.) ✗ · B CH₃OCH₃ vs C₂H₅OH: ethanol H-bonds ↑ ✗ · C Ne vs Ar: Ar more electrons ↑ ✗ · D CH₃NH₂ vs C₂H₆ ✓: CH₃NH₂ has permanent dipoles and hydrogen bonding; C₂H₆ only temporary ⇒ ethane is lower.

Answer: D

Q8 — only temporary dipole forces overcomeMCQ

A C₂H₅OH(l)→(g) ✗ (H-bonding) · B H₂O(s)→(l) ✗ (H-bonding) · C O₂(s)→(l) ✓ (non-polar, only temporary dipoles) · D C₄H₁₀(l)→(s) ✗ (freezing: forces are formed, not overcome)

Answer: C

Q14 — I₂ less volatile than Cl₂MCQ

The greater number of electrons in iodine gives larger temporary induced dipole forces. (Not bond energy, EN or permanent dipoles — I₂ is non-polar.)

Answer: B

Q6 — gecko toesMCQ

Millions of microscopic hairs make the pads extremely close to the glass ⇒ attraction between toe pads and glass = van der Waals forces (weak, but huge in number).

Answer: D

8. Hydrogen Bonding

Hydrogen bond: force of attraction between a hydrogen bonded to a very electronegative atom and a neighbouring lone pair.

Condition: H must be directly bonded to F, O or N (not even Cl! — H–Cl gives no H-bond). F, O, N give H a very significant δ+ charge. Hydrogen bonding is the strongest intermolecular force.

Drawing H-bonds (2–4 marks!)

F H F Hδ−δ+δ−δ+180°
HF···HF
:Ö H :Ö H H Hδ−δ+δ−δ+δ+δ+
H₂O···H₂O
:N H :N H H H H Hδ+δ−δ−δ+
NH₃···NH₃
How to draw (marks!): ① show the hydrogen in the middle ② the atom bonded to H in a straight line (180°) ③ the atom with the lone pair also in the straight line ④ mark ALL lone pairs and the δ+ / δ− signs ⑤ draw a dotted line for the H-bond. One mistake easily costs 1–2 marks. (Drawing it the other way round is also fine.)
Q1(c) methanol + waterStructured

(i) Force between methanol and water molecules that makes them soluble in each other → hydrogen bonding. (ii) Diagram: H₂O:···H–O(CH₃) — lone pair on one O, dotted line to the H (δ+) of the other, δ−/δ+ on O and H, CH₃ on the second O.

Answer: hydrogen bond between lone pair on O (δ−) of one molecule and H (δ+) on O of the other; all lone pairs and partial charges shown.

Q2(b)(i) NH₃ + H₂OStructured

Ammonia is very soluble in water because it forms hydrogen bonds with water. Draw the H-bond: N lone pair (:N, δ−) ··· H (δ+)–O (δ−, with 2 lone pairs) — hydrogen in the middle, N···H–O in a straight line, all lone pairs and partial charges shown.

Boiling points of hydrides — why the anomalies?

H₂OHFNH₃H₂SHCl · PH₃H₂TeHISbH₃b.p.period 2 — period 3 — 4 — 5 (down a group →)
NH₃, H₂O, HF are far above the trend: H-bonding. After that b.p. rises down the group because electrons ↑ ⇒ temporary dipoles ↑
Q. Why does H₂S have a lower b.p. than H₂O?Structured

H₂O has hydrogen bonding, while H₂S can at best only have permanent dipoles.

Q. Why do b.p.s increase from HCl → HBr → HI?Structured

The number of electrons increases so stronger temporary dipole forces are achieved.

★ Remember (increasing strength): temporary dipoles < permanent dipoles < hydrogen bonding < giant covalent < ionic & metallic bonding

Properties of water due to hydrogen bonding

  1. Higher m.p. and b.p. than similar isoelectronic molecules (same electron number, e.g. H₂S, HF vs H₂O) — H-bonds need extra energy to break.
  2. High viscosity — H-bonding does not allow molecules to slide over each other easily (thicker, flows slowly).
  3. High surface tension — surface molecules pulled inwards; a mosquito can stand on water.
  4. Good solvent — forms H-bonds to other polar molecules (ethanol) and stronger ion–dipole forces to ions (NaCl).
  5. Ice is less dense than water (anomalous expansion) — see below. If ice sank, lakes would freeze from below and life could not survive.
:Ö H :Ö CH₂CH₃ H Hδ−δ+δ−δ+
water dissolving ethanol (H-bond)
Cl⁻HHHHHHδ+ H's point at Cl⁻
water dissolving NaCl: H (δ+) faces Cl⁻; O (δ−) faces Na⁺
SOLID ICE: open lattice (empty space) ⇒ ↓ densityLIQUID: some H-bonds break, closer ⇒ ↑ ρmelts →ρ = m / V (V ↑)
ice: each O has 4 H-bonds held apart in an open lattice; on melting some break, molecules pack closer, volume ↓, density ↑ (max at 4 °C)
Q2 — properties due to H-bondingMCQ

1 water b.p. higher than H₂S ✓ · 2 ice floats on water ✓ · 3 H–O–H angle ≈ 104° ✗ (that is lone-pair repulsion, not H-bonding)

Answer: 1 and 2 only

Q5 — highest m.p.MCQ · H₂O, NH₃, HCl, I₂

H₂O has 2 lone pairs and 2 H ⇒ up to 4 H-bonds per molecule; NH₃ has only 1 lone pair ⇒ fewer H-bonds. HCl (no H-bond), I₂ (temporary dipoles only).

Answer: A (H₂O)

Q5 — three substancesMCQ · match descriptions

Substance 1: strong covalent bonds + permanent dipoles → CH₂Cl₂ · Substance 2: only weak forces → CH₄ (non-polar) · Substance 3: H-bonding → CH₃OH (or H₂O).

Answer: C (CH₂Cl₂, CH₄, CH₃OH)

Q1(a),(b) — methoxymethane etc.Structured

(a) CH₃OCH₃ has 2 lone pairs on O; C–O–C bond angle ≈ 104.5°.
(b) Strongest force (A = permanent dipole, B = temporary, C = H-bond):

ethanal CH₃CHO ethanol CH₃CH₂OH methoxymethane CH₃OCH₃ 2-methylpropane
A C A B

Ethanal: C=O polar, no O–H. Ethanol: O–H ⇒ H-bond. Ether: polar C–O–C but no H on O. 2-methylpropane: non-polar alkane.

Q2(a),(b) structuredStructured

(a)(ii) H₂ non-polar; H₂O polar: O has a much higher electronegativity than H; in H₂ both H pull equally.
(b)(ii) NH₃ bond angle 107° vs water 104.5°: N has only 1 lone pair, O has 2 — lone pair–lone pair repulsion is larger in water.
(c)(i) 3-D shapes: NH₃ trigonal pyramidal (107°), AlCl₃ trigonal planar (120°).

9. Simple Molecular & Giant Structures

Simple molecular (small covalent molecules)

  • e.g. H₂O, CO₂, Cl₂, I₂. Held together by weak intermolecular forces; on melting/boiling these are overcome ⇒ low m.p. and b.p.
  • Do not conduct electricity; usually insoluble in water. Solid: regular lattice held by weak intermolecular forces.
★ Forces overcome on melting/boiling — sir has repeated this many times, don't make this mistake: simple molecular → intermolecular forces (NOT covalent bonds) · giant covalent → covalent bonds · ionic → ionic bonds · metals → metallic bonds.
Buckminsterfullerene (C₆₀): simple molecular, 60 C in a football shape (pentagons + hexagons); each C bonded to 3 C (sp²), 1 delocalised e⁻ per C but it cannot move from molecule to molecule ⇒ does not conduct; temporary dipoles ⇒ low m.p./b.p.; insoluble; an allotrope of carbon.

Giant covalent structures (big covalent molecules)

  • diamond, graphite, SiO₂, graphene, nanotubes. Many covalent bonds in a giant lattice; on melting/boiling covalent bonds are broken ⇒ very high m.p./b.p.
  • May or may not conduct; insoluble in water.
C–C covalent bondsin each sheetvan der Waals between sheets
graphite: hexagonal layers; weak van der Waals forces between layers
CCCC1 C bonded to 4 C
diamond: tetrahedral, 4 σ bonds each
Graphite Diamond C₆₀
structure giant covalent, hexagonal layers, 1 C–3 C giant covalent, tetrahedral, 1 C–4 C simple molecular
delocalised e⁻ 1 per C, moves atom to atom ⇒ conducts none ⇒ does not conduct 1 per C but can't leave molecule ⇒ no
m.p./b.p. high (covalent bonds) high (covalent bonds) low (temporary dipoles)
other sheets slide (vdW) ⇒ lubricant; insoluble hardest material known; insoluble insoluble
  • Graphene = a single sheet of graphite — same properties as graphite.
  • Nanotubes = graphene sheet rolled up — same properties as graphite & graphene; highest strength-to-weight ratio of any substance.
  • All are allotropes of carbon.
Q9 — simple molecular?MCQ (m.p., water, conductivity)

Simple molecular: low-ish m.p. (113 °C), insoluble, always poor conductor ⇒ B. (A reacts with water and conducts when solid = metal; C soluble, good when solid… ionic/metal; D 1600 °C giant covalent.)

Answer: B

Q5 — potassium iodideMCQ

Ionic: high m.p. (680 °C), good conductor when molten (mobile ions) ⇒ C.

Answer: C

Q7 — both simple molecularMCQ

C₆₀ and iodine ✓ (graphene, graphite giant covalent).

Answer: B

Q33 (fullerene & graphene)MCQ

1 both have delocalised e⁻ ✓ · 2 C₆₀ giant ✗ · 3 graphene tetrahedral ✗ (trigonal planar, sp²)

Answer: D (1 only)

Q3 — solid CO₂ vs SiO₂MCQ

Both solids have a (regular) lattice ✓ — CO₂ a molecular lattice, SiO₂ a giant lattice. B ✗ (SiO₂ giant) · C ✗ (CO₂ double bonds) · D ✗ (SiO₂ doesn't turn to gas)

Answer: A

Q33 — carbon allotropesMCQ

1 all contain covalent bonds ✓ · 2 all giant ✗ (C₆₀ simple) · 3 all delocalised e⁻ ✗ (diamond none)

Answer: D (1 only)

10. Shapes of Molecules (VSEPR)

VSEPR theory: ① electron pairs around an atom repel each other ② bonding and lone pairs arrange themselves as far apart as possible. (The word VSEPR rarely appears in exams — it's common sense; but you must memorise this chart.)
e⁻ pairs shape angle extra details
2 bonding linear 180° in one plane; also for single-bond-equivalents
3 bonding trigonal planar 120° in one plane (angles add to 360° — "tri-gonal")
4 bonding tetrahedral 109.5° 3-D, rotational symmetry
5 bonding trigonal bipyramidal 120° & 90° 3-D; 90° between equator and axis; 120° in equator plane
6 bonding octahedral 90° 3-D; all angles 90°
3 bonding + 1 lone trigonal pyramidal 107° 3-D
2 bonding + 2 lone V-shaped / bent 104.5° in one plane only
Sir's trick for angles: start at tetrahedral 109.5°; swap one bonding pair for a lone pair → ≈ −2.5° = 107°; swap another → 104.5°. A lone pair is not held between two nuclei, so it is "more free" and repels more ⇒ angles shrink.
Order of repulsion (least → highest)bonding–bonding < bonding–lone < lone–lone   |   single bond < double bond < triple bond
180°Cl–Be–Cl
linear 180° (BeCl₂, CO₂)
B120°
trigonal planar 120° (BF₃, AlCl₃)
C109.5°
tetrahedral 109.5° (CH₄, SiCl₄, NH₄⁺)
··N107°
pyramidal 107° (NH₃, H₃O⁺)
··O104.5°
V-shaped 104.5° (H₂O)
P90°120°
trigonal bipyramidal (PCl₅) 120° & 90°
S90°
octahedral 90° (SF₆)

Drawing structures of molecules — method

  1. Identify the central atom ② draw the dot-and-cross ③ deduce the structure ④ treat double/triple bonds as single bonds (each counts as one region of repulsion).
Very important: when the examiner says "draw a dot-and-cross diagram" he is also checking the shape. So BeCl₂ and CO₂ → linear; AlCl₃ and BF₃ → trigonal planar — and no other shape. BeCl₂, AlCl₃, BF₃ are electron deficient (Be 4 e⁻, Al/B 6 e⁻) and covalent — O-level would say "ionic" (that's exactly the trap).
BeClCl
BeCl₂: 2 pairs, no lone pair ⇒ linear 180° (Cl–Be–Cl)
BFFF
BF₃: 3 pairs ⇒ trigonal planar 120° (B has only 6 e⁻)
molecule pairs on central atom shape angle
BeCl₂ 2 bp linear 180°
CO₂ (O=C=O) 2 regions linear 180°
BF₃ / AlCl₃ 3 bp trigonal planar 120°
CH₄ / SiCl₄ 4 bp tetrahedral 109.5°
PCl₅ 5 bp trigonal bipyramidal 120° & 90°
SF₆ 6 bp octahedral 90°
NH₃ 3 bp + 1 lp trigonal pyramidal 107°
H₂O 2 bp + 2 lp V-shaped / bent 104.5°
NH₄⁺ 4 bp tetrahedral 109.5°
H₃O⁺ 3 bp + 1 lp trigonal pyramidal 107°
★ Expanded octet: phosphorus and sulphur can accept more electrons into empty d orbitals and hold more than an octet (PCl₅ = 10 e⁻ around P, SF₆ = 12 around S). Remember these two specific examples — N, O, C can't do this.
Multiple bonds vs single bonds: in ethene each C has 3 regions ⇒ trigonal planar, but the C=C double bond has more electron density and repels more ⇒ H–C–H angle is a little less than 120°, and H–C=C a little more than 120°. In BF₃ (all single bonds) the angle is exactly 120°. (Note: a double bond is treated as one region, so ethene is called "trigonal planar".)
alliin — bond angles x, y, zMCQ

x = H–C=C (trigonal planar) ≈ 120°; y = C=C–C (trigonal planar) ≈ 120°; z = C–S–C… (2 bp + 2 lp around S / or sp³ centre) ≈ 109°. Row C: 120°, 120°, 109°.

Answer: C

ethanal + NH₂OH → oximeMCQ · order of increasing bond angle

x = H–C–H in CH₃ (tetrahedral) 109.5° · y = C=N–… (trigonal planar) 120° · z = C–N–O / N–O–H with lone pair(s): O has 2 lone pairs ⇒ 104.5° (smallest). Order: z < x < y.

Answer: A (z, x, y)

Q4 — all atoms in one planeMCQ

Plane needs linear / trigonal planar / bent: C₂H₄ (planar ✓), CO₂ (linear ✓), H₂O (bent ✓). A has PH₃ (pyramidal), B has NH₃, C has C₃H₆ (has a CH₃ — tetrahedral).

Answer: D

Q1 — bond angles equal to 120°MCQ

1 BF₃ ✓ (trigonal planar) · 2 NCl₃ ✗ (pyramidal, 107°) · 3 H₃O⁺ ✗ (pyramidal)

Answer: 1 only

11. Orbital Overlap: σ and π Bonds

σ (sigma) bond — end-to-end overlap

1s+1sinternuclear axis
1s + 1s (H₂)
2p + 2p (end-on)axis
2pz + 2pz end-to-end (also 1s + 2pz for HF)
  • A single bond is made when 2 orbitals overlap end to end ⇒ a σ bond (1s+1s, 1s+2p, 2p+2p).
  • e⁻ density lies along the internuclear axis; 1 region of overlap; stronger than π bonds.

π (pi) bond — sideways overlap of parallel p orbitals

• nuclei •π: aboveπ: below the axis2px+2px
two parallel p orbitals overlap sideways ⇒ 2 lobes, above & below the axis
σπ (2px)π (2px)π (2py) round the axisN≡N : 1σ + 2π
N₂: σ along axis + 2 π (2px, 2py)
  • π bonds are always sideways overlap; e⁻ density above and below the axis (that is why π is weaker than σ); 2 regions of overlap.
  • Only present in double and triple bonds — a σ bond has to be made before a π bond.
  • π bonds prevent rotation about the bond ⇒ this gives rise to isomerism in alkenes.
single bond = 1σ  |  double bond = 1σ + 1π  |  triple bond = 1σ + 2π
O₂ (O=O) and N₂ (N≡N) — 2p orbitals overlap
O: 2p⁴ = [↑↓][↑][↑] → 2 unpaired ⇒ 1σ (2pz+2pz) + 1π (2px+2px).
N: 2p³ = [↑][↑][↑] → 3 unpaired ⇒ 1σ + 2π (2px+2px and 2py+2py).
Q3 — σ and π bonds in CO₂MCQ

O=C=O: each double bond = 1σ + 1π ⇒ 2σ and 2π.

Answer: B (2, 2)

12. Hybridisation

Why: in earlier examples (H₂, O₂, N₂, HF) there were enough unpaired electrons in the orbitals to make the bonds. Carbon doesn't (2p² only) — so how does it make 4 bonds? Atoms that don't have enough electrons in their orbitals for overlap undergo hybridisation (s and p orbitals fuse into new equal hybrid orbitals). Hybridisation is hard for students — go slowly.

sp³ — methane (4 σ bonds)

C ground state: 1s² [↑↓]   2s² [↑↓]   2p² [↑][↑][ ]only 2 unpaired — need 4 in the outer sub-shell!promote & hybridise: 2s + 3×2p ⇒ 4 × sp³ [↑][↑][↑][↑]

s + 3 p fuse into 4 sp³ hybrid orbitals (1 part s, 3 part p), each one containing 1 e⁻. Now C forms 4 σ bonds with 1s of 4 H — tetrahedral 109.5°.

sp³4 single bonds (4σ) ⇒ tetrahedral 109.5°  ·  usually in alkanes

sp² — ethene (3 σ + 1 π per C)

Each C in ethene needs 3 σ bonds (3 orbitals for end-to-end overlap) and 1 π bond (1 p orbital left over for sideways overlap).

2s + 2×2p ⇒ 3 × sp² [↑][↑][↑]  +  1 × 2p [↑] left over3 sp² → σ bonds (2 to H, 1 to C)  ·  the spare 2pz → π bond
sp²3σ + 1π ⇒ trigonal planar 120°  ·  usually in alkenes (C=C)

sp — ethyne, CO₂ (2 σ + 2 π)

C in ethyne H–C≡C–H needs 2σ and 2π2s + 1×2p ⇒ 2 × sp [↑][↑]  +  2×2p (2py, 2pz) for 2 π bonds
sp2σ + 2π ⇒ linear 180°  ·  alkynes and CO₂ (O=C=O: C needs 2σ + 2π ⇒ sp)
★ Sir's HACK (use this in the exam — no time for full working): ① count the σ bonds + lone pairs? — for carbon just count σ and π bonds around each C. ② σ bonds = 4 ⇒ sp³; σ = 3 (+1π) ⇒ sp²; σ = 2 (+2π) ⇒ sp. ③ Number of π bonds = number of p orbitals reserved. Equivalent: p and s merge — one p ⇒ "sp", two ⇒ "sp²", three ⇒ "sp³" (the number is the number of p's fused with the s).
C atom bonded to… σ bonds hybridisation examples
4 C / atoms 4 sp³ diamond, alkanes
3 atoms (1 double bond) 3 sp² graphite, graphene, nanotubes, C₆₀ (1 C to 3 C), alkenes
2 atoms 2 sp alkynes, CO₂
Q3 — hybridisation in etheneMCQ

C₂H₄: each C has 3σ + 1π ⇒ sp²; whole molecule has C–H ×4 + C–C ×1 = 5σ + 1π.

A sp², 4σ 1π ✗B sp², 5σ 1π ✓C sp³, 4σ 1π ✗D sp³, 5σ 1π ✗

Answer: B

13. Bond Lengths and Bond Energies

Bond length: the distance between the nuclei of two covalently bonded atoms. For a homonuclear diatomic (H₂, F₂, Cl₂): ½ × bond length = atomic radius.

Bond energy: the minimum amount of energy required to break 1 mole of a bond in 1 mole of gaseous molecules. e.g. H–H(g) → 2H(g).

bond bond length / nm bond energy / kJ mol⁻¹
H–F 0.092* +562
H–Cl 0.127 +431
H–Br 0.141 +366
H–I 0.161 +299

*board table reads "0.009" — a slip for ≈0.092 nm (must be shorter than H–Cl 0.127 nm).

Down the group: bond length ↑ and bond energy ↓ (bond gets weaker) because the bond gets less polar and, with bigger nuclei, the orbital overlap becomes less efficient (H 1s with F 2p is more efficient than with I 5p).

HFHI1s + 2p: more efficient1s + 5p: less efficient
small F orbital overlaps well with 1s; big I orbital overlaps poorly ⇒ weaker bond

Reactivity: H–I → H–F: reactivity decreases as it becomes more difficult to break the existing bond and make new ones. (Hence HI is the most easily decomposed hydrogen halide.)

★ Chapter Cheat-Sheet

✓ Definitions (write exactly these)
  • Ionic: strong electrostatic attraction between + metal cation and − non-metal anion.
  • Metallic: strong electrostatic attraction between + cations and the delocalised sea of electrons.
  • Covalent: attraction between nuclei and a shared pair of electrons.
  • Dative: one atom uses its lone pair and contributes both electrons to the shared pair (→ donor to acceptor).
  • Lone pair: pair of valence e⁻ not bonded to any other species.
  • Electronegativity: tendency of an atom to attract a shared pair towards itself. Hydrogen bond: H bonded to F/O/N attracted to a neighbouring lone pair.
  • Bond length: distance between nuclei; bond energy: minimum energy to break 1 mol of bond in 1 mol of gaseous molecules.
✓ Rules & trends
  • Strength: temporary < permanent dipoles < H-bond < giant covalent < ionic/metallic. Melting/boiling overcomes: simple molecular → intermolecular forces; giant covalent → covalent bonds; ionic → ionic bonds; metals → metallic bonds.
  • Temporary dipoles ↑ with more electrons; straight chain > branched. Every molecule has them.
  • Metallic strength ↑: cation charge ↑, delocalised e⁻ ↑, radius ↓. Polarising power ↑: charge ↑, radius ↓. Polarisability ↑: charge ↑, radius ↑.
  • Non-polar: same-atom molecules (H₂, Cl₂), symmetrical molecules (CO₂, CCl₄, BF₃, CH₄, PF₅). ΔEN > 1.8 ionic, < 1.8 covalent.
  • Al₂Cl₆: 6 covalent + 2 dative, 16 lone pairs; AlCl₃, BF₃, BeCl₂ electron deficient. P and S can exceed the octet.
✓ Shapes, angles & orbitals
  • Linear 180° · trigonal planar 120° · tetrahedral 109.5° · pyramidal 107° · bent 104.5° · trig. bipyramidal 120°/90° · octahedral 90°. Repulsion: bp–bp < bp–lp < lp–lp; single < double < triple.
  • Single = σ; double = σ+π; triple = σ+2π. σ = end-on, along axis, stronger; π = sideways, above/below, weaker, stops rotation.
  • Hybridisation hack: 4σ ⇒ sp³ (109.5°) · 3σ+1π ⇒ sp² (120°) · 2σ+2π ⇒ sp (180°). Graphite/graphene/nanotubes/C₆₀ sp²; diamond sp³.
  • H–X: bond length ↑ and bond energy ↓ down group 17 (overlap less efficient) ⇒ HF strongest, HI weakest.