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Inorganic Chemistry

p-Block Elements I — Boron & Carbon Families (Groups 13–14)

2 November 202618 pages
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Groups 13 and 14 are where the p-block begins, and both start with an element that refuses to behave like the rest. Boron is a non-metal in a group of metals; carbon chains endlessly while lead barely bonds to itself. Learn why the first member is different and why the heaviest members prefer a lower oxidation state, and the rest of the chapter is description.

What you will be able to do

The big picture

First member odd, last member lazy.

In one line: In groups 13 and 14 the first element (B, C) is small, non-metallic and limited to four bonds; going down, metallic character rises and the ns² pair becomes reluctant to bond, so the lower oxidation state (+1 for Tl, +2 for Pb) becomes the stable one.
PropertyGroup 13 (B → Tl)Group 14 (C → Pb)
Valence configurationns² np¹ns² np²
Common oxidation states+3; +1 grows down (Tl⁺ most stable)+4; +2 grows down (Pb²⁺ most stable)
CharacterB non-metal; Al to Tl metalsC, Si non-metals; Ge metalloid; Sn, Pb metals
OxidesB₂O₃ acidic → Al₂O₃, Ga₂O₃ amphoteric → In₂O₃, Tl₂O₃ basicCO₂, SiO₂, GeO₂ acidic; SnO₂, PbO₂ amphoteric
Think of it like this: Picture the ns² pair as two old residents of a building who get more comfortable — and less willing to move out — as the building (atom) grows taller. In boron and carbon they join every bond. By thallium and lead they mostly stay home, and only the p electrons go out to bond.

Group 13: trends

Data first, then the exceptions.

PropertyBAlGaInTl
Atomic radius / pm85143135167170
ΔiH₁ / kJ mol⁻¹801577579558589
Electronegativity (Pauling)2.01.51.61.71.8
m.p. / K2453933303430576
b.p. / K39232740267623531730

Oxidation states and the inert pair effect

Group 13: compounds and Lewis acidity

Electron-deficient halides and amphoteric aluminium.

Aluminium

2Al + 6HCl → 2AlCl₃ + 3H₂
2Al + 2NaOH + 6H₂O → 2Na[Al(OH)₄] + 3H₂

Amphoteric metal: dissolves in both acid and alkali

Solved example 01 — Ranking Lewis acidity

Arrange BF₃, BCl₃ and BBr₃ in increasing Lewis acid strength and explain.

  1. All three have an empty 2p orbital on boron.
  2. F’s 2p orbital matches B’s 2p closely, so back-donation from F is strongest and partly fills B’s empty orbital.
  3. Cl (3p) and Br (4p) overlap less well, so boron stays more electron-deficient.

Answer: BF₃ < BCl₃ < BBr₃ (back bonding is strongest in BF₃).

Check yourself

Answers at the end.

Borax and boric acid

Two boron compounds every exam asks about.

Borax

Boric acid, H₃BO₃

Solved example 02 — Why boric acid is monobasic

H₃BO₃ has three O–H groups, yet it is a monobasic acid. Explain.

  1. Boron has only six electrons around it in B(OH)₃ and an empty p orbital.
  2. It accepts an OH⁻ ion from water: B(OH)₃ + H₂O → [B(OH)₄]⁻ + H⁺.
  3. Only one H⁺ is released per molecule, and not from its own O–H groups.

Answer: It behaves as a Lewis acid that accepts one OH⁻; it is monobasic.

Diborane

The molecule that broke the two-electron-bond rule.

Preparation

Structure

Reactions

ReagentProductNote
O₂B₂O₃ + 3H₂OΔH = −1976 kJ mol⁻¹; burns spontaneously
H₂O2B(OH)₃ + 6H₂Hydrolysis
Lewis bases (CO, NH₃, N(CH₃)₃)Adducts: BH₃·CO, BH₃·N(CH₃)₃Symmetric cleavage of the bridges
NH₃ (heated)B₃N₃H₆ (borazine) via B₂H₆·2NH₃Borazine is “inorganic benzene”
NaH (in ether)2NaBH₄Sodium borohydride, a reducing agent
LiH2LiBH₄Lithium borohydride

Solved example 03 — Counting bonds in diborane

How many electrons does B₂H₆ have for bonding, and how are they used?

  1. Valence electrons: 2 × 3 (B) + 6 × 1 (H) = 12.
  2. Four terminal B–H bonds use 8 electrons.
  3. The remaining 4 electrons form two 3c–2e B–H–B bridges.

Answer: 12 electrons: 4 normal bonds (8 e⁻) + 2 banana bonds (4 e⁻).

Check yourself

Answers at the end.

Group 14: trends

From non-metal carbon to metallic lead.

PropertyCSiGeSnPb
Covalent radius / pm77118122140146
ΔiH₁ / kJ mol⁻¹1086786761708715
Electronegativity2.51.81.81.81.9
m.p. / K4373 (sublimes)16931218505600
Element–element bond enthalpy / kJ mol⁻¹C–C 348Si–Si 297Ge–Ge 260Sn–Sn 240—

Solved example 04 — Hydrolysis of tetrachlorides

Why does SiCl₄ fume in moist air while CCl₄ does not react with water?

  1. Hydrolysis begins with water donating a lone pair to the central atom.
  2. Si has empty 3d orbitals and is larger, so it can accept the lone pair and expand its coordination.
  3. Carbon has no d orbitals in its valence shell and is crowded by four Cl atoms.

Answer: SiCl₄ hydrolyses to Si(OH)₄ + HCl (the fumes are HCl); CCl₄ cannot.

Solved example 05 — PbO₂ as an oxidant, SnCl₂ as a reductant

Write one reaction showing PbO₂ as an oxidising agent and one showing SnCl₂ as a reducing agent, and explain both with the inert pair effect.

  1. PbO₂ + 4HCl → PbCl₂ + Cl₂ + 2H₂O — Pb(IV) is reduced to the more stable Pb(II).
  2. SnCl₂ + 2HgCl₂ → SnCl₄ + Hg₂Cl₂ — Sn(II) is oxidised to the more stable Sn(IV).

Answer: Pb prefers +2, Sn prefers +4: the inert pair effect is strong for Pb but weak for Sn.

Allotropes of carbon

Same element, very different solids.

AllotropeHybridisationStructureKey properties
Diamondsp³3D network of tetrahedra; C–C 154 pmHardest natural substance; insulator; high refractive index
Graphitesp²Hexagonal layers; C–C 141.5 pm in a layer; layers 340 pm apart, held by weak forcesSoft, slippery (lubricant); conducts along layers (delocalised π electrons)
Fullerene C₆₀sp²Cage of 20 hexagons and 12 pentagons (“buckyball”)Molecular; soluble in organic solvents; pure form of carbon
Graphenesp²A single graphite layerVery strong, excellent conductor
Carbon nanotubessp²Graphene rolled into tubesVery strong, light; electronics

Carbon monoxide and carbon dioxide

Two oxides, very different behaviour.

COCO₂
Laboratory preparationHCOOH → H₂O + CO (conc. H₂SO₄, 373 K)CaCO₃ + 2HCl → CaCl₂ + CO₂ + H₂O
IndustrialWater gas: C + H₂O → CO + H₂ (473–1273 K); producer gas: 2C + O₂ + 4N₂ → 2CO + 4N₂ (1273 K)Burning carbon fuels; heating limestone
NatureNeutral oxide; colourless, odourless, very poisonousAcidic oxide; CO₂ + H₂O ⇌ H₂CO₃
Key use or roleReducing agent in metallurgy (Fe₂O₃ + 3CO → 2Fe + 3CO₂); ligand in Ni(CO)₄Photosynthesis; solid CO₂ (dry ice) as refrigerant; fire extinguishers; greenhouse gas
Key idea: Why CO is so toxic: it binds to the iron of haemoglobin about 300 times more strongly than O₂, forming carboxyhaemoglobin, which cannot carry oxygen. Why CO is a good ligand: it donates a lone pair from carbon (σ) and accepts metal d electrons back into its empty π∗ orbitals (π back-bonding).

Silica, silicones, silicates and zeolites

Silicon’s chemistry is built on Si–O bonds.

Silicon dioxide, SiO₂

Silicones

Silicates and zeolites

Silicate typeUnitExample
OrthosilicateDiscrete SiO₄⁴⁻Zircon ZrSiO₄, olivine
PyrosilicateSi₂O₇⁶⁻ (two tetrahedra share one O)Thortveitite
Cyclic / chain(SiO₃)ₙ²ⁿ⁻ — two O shared per tetrahedronBeryl (cyclic); pyroxenes (chains)
Sheet(Si₂O₅)ₙ²ⁿ⁻ — three O sharedMica, talc, clays
3DAll four O shared (SiO₂); some Si replaced by Al in aluminosilicatesQuartz; feldspar, zeolites

Solved example 06 — Why SiO₂ is a solid but CO₂ is a gas

Explain the difference in physical state between CO₂ and SiO₂.

  1. Carbon forms strong pπ–pπ double bonds with oxygen, so CO₂ is a small discrete molecule held to others only by weak van der Waals forces.
  2. Silicon is too large for effective pπ–pπ overlap, so it forms four single Si–O bonds instead.
  3. Each O bridges two Si atoms, building a giant covalent network.

Answer: CO₂ is molecular (gas); SiO₂ is a covalent network solid (m.p. about 1983 K).

Solved example 07 — Role of chain terminators

What is the effect of adding (CH₃)₃SiCl to the hydrolysis mixture of (CH₃)₂SiCl₂ in silicone manufacture?

  1. (CH₃)₂Si(OH)₂ has two –OH groups and links at both ends, growing a chain.
  2. (CH₃)₃SiOH has only one –OH, so when it joins a chain end, no further growth is possible at that end.

Answer: It caps the chains and controls the chain length (and hence viscosity) of the silicone.

Check yourself

Answers at the end.

Advanced problems

Each needs two ideas from the chapter.

Solved example 08 — Hydrogen from aluminium

What volume of H₂ at STP is released when 5.4 g of Al dissolves completely in excess NaOH solution?

  1. 2Al + 2NaOH + 6H₂O → 2Na[Al(OH)₄] + 3H₂: 2 mol Al → 3 mol H₂.
  2. 5.4 g Al = 0.20 mol → 0.30 mol H₂.
  3. 0.30 × 22.4 L.

Answer: 6.72 L of H₂ at STP.

Solved example 09 — Borax as a primary standard

Write the reaction of borax with HCl and explain why borax is used to standardise acids.

  1. Na₂B₄O₇·10H₂O + 2HCl → 2NaCl + 4H₃BO₃ + 5H₂O.
  2. Boric acid is too weak to affect methyl orange, so the end point reflects only the HCl used.
  3. Borax is a pure, stable, non-hygroscopic crystalline solid of high molar mass (381 g mol⁻¹).

Answer: One mole of borax neutralises exactly two moles of HCl; its purity and stability make it a primary standard.

Solved example 10 — Why BCl₃ is a monomer but AlCl₃ dimerises

BCl₃ exists as a monomer, while AlCl₃ forms Al₂Cl₆. Explain.

  1. Boron is small; four large Cl atoms cannot fit comfortably around it, and B–Cl back bonding partly relieves its electron deficiency.
  2. Al is larger: it can accommodate four Cl atoms, and it completes its octet by accepting a lone pair from a bridging Cl.

Answer: Size: small B cannot dimerise through bulky Cl bridges; larger Al can.

Solved example 11 — Graphite and diamond: conductivity

Explain why graphite conducts electricity while diamond does not, though both are pure carbon.

  1. Diamond: every carbon is sp³ and uses all four electrons in localised σ bonds — no mobile electrons.
  2. Graphite: each carbon is sp², bonded to three others; the fourth electron is in a p orbital delocalised over the whole layer.

Answer: Delocalised π electrons in graphite carry current along the layers; diamond has none.

Exam trap gallery

Where marks are lost in this chapter.

#What students writeWhat is actually correctWhy
1BF₃ is the strongest Lewis acid among the boron halides (F is most electronegative).BF₃ is the weakest: BF₃ < BCl₃ < BBr₃ < BI₃.pπ–pπ back bonding partly fills boron’s empty p orbital in BF₃.
2Boric acid is a tribasic protonic acid.It is a monobasic Lewis acid.It accepts OH⁻ from water to give [B(OH)₄]⁻ + H⁺.
3Diborane has 8 two-centre two-electron bonds.4 two-centre bonds and 2 three-centre two-electron bonds.Only 12 valence electrons are available.
4Al is smaller than Ga.Ga (135 pm) is smaller than Al (143 pm).Poor shielding by 3d electrons in Ga.
5Tl³⁺ is more stable than Tl⁺.Tl⁺ is more stable (inert pair effect).Tl³⁺ is therefore an oxidising agent.
6Pb⁴⁺ compounds are more stable than Pb²⁺.Pb²⁺ is more stable; PbO₂ is a strong oxidant; PbI₄ does not exist.Inert pair effect.
7CCl₄ hydrolyses like SiCl₄.CCl₄ does not hydrolyse.Carbon has no vacant d orbitals.
8Diamond is the most stable allotrope of carbon.Graphite is the most stable (ΔfH° = 0).Diamond is metastable at room conditions.
9Diamond conducts because it is carbon like graphite.Diamond is an insulator.All four electrons are in localised σ bonds (sp³).
10CO is an acidic oxide.CO is neutral.It does not react with water or bases under ordinary conditions.
11(CH₃)₃SiCl gives cross-linked silicones.It is a chain terminator; CH₃SiCl₃ gives cross-links.One –OH caps; three –OH groups branch.
12Aqueous borax is acidic because it contains boric acid units.Aqueous borax is alkaline.It hydrolyses to NaOH (strong base) + H₃BO₃ (weak acid).
Memory hook: “F back-feeds boron” — BF₃ is the weakest boron-halide Lewis acid. · “Twelve electrons, two bananas” — diborane. · “Lazy pair at the bottom” — Tl⁺, Pb²⁺. · “Si says yes to water, C says no” — tetrachloride hydrolysis.

Practice MCQs

Levels: Easy, Moderate, Tough.

Q01. The most stable oxidation state of thallium is: (Easy)

Q02. Boric acid is: (Easy)

Q03. Colour of the cobalt borax bead: (Easy)

Q04. The hardest natural substance is: (Easy)

Q05. CO is: (Easy)

Q06. Which element does not show catenation? (Easy)

Q07. Formula of borax: (Easy)

Q08. Correct order of Lewis acid strength: (Moderate)

Q09. Number of 3c–2e bonds in diborane: (Moderate)

Q10. AlCl₃ exists as a dimer because: (Moderate)

Q11. Which is amphoteric? (Moderate)

Q12. Ga has a smaller atomic radius than Al because of: (Moderate)

Q13. Diborane reacts with NH₃ on heating to give: (Moderate)

Q14. Hybridisation of carbon in graphite: (Moderate)

Q15. Fullerene C₆₀ contains: (Moderate)

Q16. Which hydrolyses readily? (Moderate)

Q17. Producer gas is a mixture of: (Moderate)

Q18. Which does not exist? (Moderate)

Q19. ZSM-5 is used to: (Moderate)

Q20. Terminal and bridging B–H bond lengths in B₂H₆ are: (Tough)

Q21. Aqueous solution of borax is: (Tough)

Q22. Cross-linked silicones are obtained by hydrolysis of: (Tough)

Q23. In the silicate Si₂O₇⁶⁻, the number of oxygen atoms shared is: (Tough)

Q24. CO is a good ligand because it is: (Tough)

Q25. Which is the strongest reducing agent? (Tough)

Answer key with explanations

  1. (a) +1 — Inert pair effect.
  2. (b) a monobasic Lewis acid — Accepts OH⁻.
  3. (b) blue — Co(BO₂)₂.
  4. (b) diamond — sp³ network.
  5. (c) neutral — Neutral oxide.
  6. (d) Pb — Weak Pb–Pb bond.
  7. (a) Na₂B₄O₇·10H₂O — Decahydrate.
  8. (b) BBr₃ > BCl₃ > BF₃ — Back bonding strongest in BF₃.
  9. (b) 2 — Two B–H–B bridges.
  10. (b) Al completes its octet using a lone pair of bridging Cl — Electron-deficient Al.
  11. (b) Al₂O₃ — Reacts with acid and base.
  12. (b) poor shielding by 3d electrons — d-block contraction.
  13. (b) borazine — “Inorganic benzene”.
  14. (b) sp² — Planar layers.
  15. (b) 12 pentagons and 20 hexagons — Soccer-ball cage.
  16. (b) SiCl₄ — Vacant 3d orbitals on Si.
  17. (b) CO + N₂ — Air used instead of steam.
  18. (c) PbI₄ — Pb⁴⁺ oxidises I⁻.
  19. (b) convert alcohols to gasoline — Shape-selective zeolite catalyst.
  20. (b) 119 and 134 pm — Bridging bonds are longer.
  21. (c) alkaline — NaOH + weak H₃BO₃.
  22. (c) CH₃SiCl₃ — Three –OH groups.
  23. (b) 1 — Pyrosilicate.
  24. (c) both a σ-donor and π-acceptor — Synergic bonding.
  25. (a) SnCl₂ — Sn²⁺ → Sn⁴⁺ readily.

Check-yourself answers

One-page revision

Read this page the night before the exam.

Group 13 trends

Boron compounds

Diborane and Al

Group 14 trends

Carbon

Silicon

Written by Ram Govind Yadav · Chemistry Educator