Group 13: Boron Family — Overview
Group 13 contains five elements: boron (B), aluminium (Al), gallium (Ga), indium (In), and thallium (Tl). Together they are called the boron family or the p-block Group 13 elements. Their valence shell configuration is , so they have three valence electrons and can show a maximum oxidation state of +3.
Electronic Configurations
| Element | Symbol | Z | Valence Configuration |
|---|---|---|---|
| Boron | B | 5 | |
| Aluminium | Al | 13 | |
| Gallium | Ga | 31 | (after 3d¹⁰) |
| Indium | In | 49 | (after 4d¹⁰) |
| Thallium | Tl | 81 | (after 4f¹⁴ 5d¹⁰) |
Because Ga, In, and Tl have filled d (and f for Tl) orbitals just below their valence shell, their nuclear charges are poorly shielded. This leads to some unexpected irregularities in trends, particularly in atomic radii and ionisation enthalpies.
Trends in Properties of Group 13
Atomic and Ionic Radius
Atomic radii generally increase down the group: B < Al < In > Tl. But notice the anomaly: Ga has a smaller atomic radius than Al. This happens because Ga has 10 d-electrons that shield the nucleus poorly, so the effective nuclear charge felt by the outer electrons is higher, pulling them in. Similarly, Tl has a smaller radius than expected because of the contraction caused by filled 4f and 5d subshells.
Ionisation Enthalpy
The first ionisation enthalpy decreases from B to Al (as expected with increasing size), but then increases from Al to Tl (again due to poor shielding by d and f electrons). The sum of the first three ionisation enthalpies determines whether the +3 state is energetically accessible. For Tl, this energy is too high, so it prefers to lose only one electron and exist as Tl⁺ (inert pair effect).
Oxidation States
All Group 13 elements show a +3 oxidation state. However, the +1 oxidation state becomes progressively more stable down the group due to the inert pair effect. In thallium, Tl⁺ is more stable than Tl³⁺. The ns² electrons (the "inert pair") become difficult to remove because relativistic effects and poor d/f shielding stabilise them.
- B: only +3 (covalent compounds; B³⁺ ion does not exist due to tiny size and high charge density)
- Al: predominantly +3 (ionic in Al²O₃, AlCl₃ which is covalent)
- Ga: +1 and +3
- In: +1 and +3
- Tl: +1 is more stable than +3
Nature of Oxides and Hydroxides
The oxides and hydroxides change character from acidic to amphoteric to basic down the group:
- B₂O₃: acidic oxide (forms boric acid with water)
- Al₂O₃, Al(OH)₃: amphoteric (reacts with both acids and alkalis)
- Ga₂O₃, In₂O₃, Tl₂O₃: increasingly basic in character
Aluminium hydroxide dissolving in NaOH:
Electron Deficiency
Group 13 elements have only 3 valence electrons but 4 available orbitals (one s + three p). After forming three bonds, one vacant orbital remains. This makes their compounds Lewis acids (electron-pair acceptors). BF₃, BCl₃, and AlCl₃ all readily accept electron pairs.
Anomalous Properties of Boron
Boron differs significantly from the rest of Group 13 because of its very small atomic size and very high ionisation enthalpy.
- Covalent character: B³⁺ is too small and has too high a charge density to exist as a free ion. All boron compounds are covalent. In contrast, Al forms partially ionic compounds (e.g., Al₂O₃ is ionic).
- Non-metal: Boron is the only non-metal in Group 13. Al, Ga, In, and Tl are all metals.
- Network structure: Boron has a very high melting point (2300 °C) due to a covalent network solid structure. The other Group 13 elements are soft metals with low melting points (Ga melts just above room temperature at 30 °C).
- No reaction with water or dilute HCl: Boron does not react with water or dilute HCl under normal conditions. Aluminium reacts with dilute HCl:
- Diagonal relationship with Si: Boron shows a diagonal relationship with silicon (Group 14). Both form covalent hydrides (B₂H₆ and SiH₄), both form acidic oxides (B₂O₃ and SiO₂), both are semiconductors, and both form halides that fume in moist air.
- No d-orbitals in the valence shell: Boron is restricted to a maximum coordination number of 4 (forming species like BF₄⁻). Heavier Group 13 elements can expand their coordination number by using d-orbitals.
Important Compounds of Boron
Diborane, B₂H₆
Diborane is the simplest stable boron hydride. It is a colourless, toxic gas at room temperature (bp −92.5 °C). Its structure is peculiar because it has fewer electrons than needed for conventional bonds.
Structure: Diborane has two types of B-H bonds:
- 4 terminal B-H bonds (normal 2c-2e bonds, two on each B)
- 2 bridging B-H-B bonds (3-centre 2-electron bonds, also called banana bonds or bridge bonds)
In each bridge bond, one electron pair is shared across three atoms (B, H, B). The four terminal H atoms and both B atoms lie in one plane. The two bridging H atoms are above and below that plane. The B-H-B angle in the bridge is about 97°. There are only 12 valence electrons in diborane (3 from each B + 1 from each of 6 H = 12), which is enough for 6 bonds but the molecule needs 8 bonds (4 terminal + 4 bridging = 8 bond positions). The 3c-2e bonding resolves this.
Preparation:
Reactions:
- With water (hydrolysis):
- With ammonia (at low temperature): forms B₂H₆·2NH₃ and ultimately borazine (B₃N₃H₆), the "inorganic benzene" at higher temperatures
- Combustion:
Borax, Na₂B₄O₇·10H₂O
Borax (sodium tetraborate decahydrate) is the most important compound of boron. It occurs naturally in dry lake beds.
Structure: In borax, the tetraborate unit is . It contains two sp²-hybridised B atoms (trigonal planar) and two sp³-hybridised B atoms (tetrahedral).
Uses and reactions:
- Borax dissolves in hot water to give an alkaline solution (pH ≈ 9) because it hydrolyses:
- Borax bead test: When heated on a platinum wire in a flame, borax first swells (loses water of crystallisation), then forms a transparent glassy bead of boron oxide (B₂O₃). This bead dissolves metal oxides forming characteristic coloured metal metaborates. Used to identify metal ions in qualitative analysis.
- Used as a cleaning agent (laundry), pH buffer, in glass and enamel manufacturing, and as a laboratory reagent.
Orthoboric Acid, H₃BO₃ (or B(OH)₃)
Boric acid is a white, flaky, crystalline solid. It is a weak monobasic acid.
Structure: Each B(OH)₃ unit is planar (sp² hybridised at B). The units form infinite sheets in the crystal through hydrogen bonding between O-H groups of adjacent molecules. This layered structure is why boric acid has a soapy feel (layers slide).
Important point: Boric acid does NOT donate a proton like a normal acid. Instead, it acts as a Lewis acid by accepting OH⁻ from water:
This is a Lewis acid mechanism (not Bronsted-Lowry). The boron expands its coordination from 3 to 4 by accepting OH⁻.
Preparation from borax:
Uses: Antiseptic (dilute solution), fireproofing, in the glass industry (borosilicate glass), and in the manufacture of cosmetics.
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Important Compounds of Aluminium
Aluminium Oxide, Al₂O₃ (Alumina)
Alumina is an amphoteric oxide. It reacts with both acids and bases:
It exists in several crystalline forms (polymorphs). α-Al₂O₃ (corundum) is very hard (used as abrasive). Ruby and sapphire are forms of corundum coloured by trace metal impurities (Cr³⁺ gives red, Ti⁴⁺/Fe²⁺ gives blue).
Aluminium Chloride, AlCl₃
Anhydrous AlCl₃ is a covalent compound (not ionic, despite Al being a metal). It exists as a dimer Al₂Cl₆ in the vapour phase. It is a strong Lewis acid used as a catalyst in Friedel-Crafts reactions.
When AlCl₃ is dissolved in water, it hydrolyses to give an acidic solution:
Alums
Alums are double sulphates of the formula , where M⁺ is a univalent metal ion (K⁺, Na⁺, NH₄⁺) and M³⁺ is a trivalent metal ion (Al³⁺, Cr³⁺, Fe³⁺).
The most common alum is potash alum: KAl(SO₄)₂·12H₂O. Uses include water purification (the Al³⁺ ion hydrolyses to form Al(OH)₃, a colloid that flocculates suspended impurities), as a mordant in dyeing, in leather tanning, and in baking powder.
Reactions of Aluminium Metal
- With dilute HCl:
- With hot concentrated NaOH:
- Al is passive (unreactive) with concentrated HNO₃ because a thin, hard oxide layer (Al₂O₃) forms on the surface and prevents further reaction. This is called passivation.
- Thermite reaction: 2Al + Fe₂O₃ → Al₂O₃ + 2Fe (large amount of heat released; used in welding railway tracks)
Group 14: Carbon Family — Overview
Group 14 contains: carbon (C), silicon (Si), germanium (Ge), tin (Sn), and lead (Pb). Their valence shell configuration is , giving them four valence electrons and a maximum oxidation state of +4.
Carbon is unique in its ability to form long chains (catenation) due to the high C-C bond energy (347 kJ/mol). Silicon can also catenate but to a much lesser extent (Si-Si bond is weaker). This is the basis of organic chemistry.
Electronic Configurations
| Element | Symbol | Z | Valence Config. | Character |
|---|---|---|---|---|
| Carbon | C | 6 | Non-metal | |
| Silicon | Si | 14 | Metalloid (semiconductor) | |
| Germanium | Ge | 32 | Metalloid (semiconductor) | |
| Tin | Sn | 50 | Metal | |
| Lead | Pb | 82 | Metal |
Trends in Properties of Group 14
Atomic Radius and Ionisation Enthalpy
Atomic radius increases down the group: C < Si < Ge < Sn < Pb (but the increase from Si to Ge is small due to d-electron contraction; from Sn to Pb is also small due to f-electron and relativistic effects).
Ionisation enthalpy decreases down the group, but with irregularities at Ge (because of the 3d¹⁰ electrons increasing effective nuclear charge slightly).
Oxidation States and Inert Pair Effect
All Group 14 elements show +4 and +2 oxidation states. The +2 state becomes more stable as you go down the group (inert pair effect). Lead strongly prefers the +2 state:
- Carbon and Silicon: +4 is the stable state; +2 exists in CO (carbon monoxide)
- Germanium: GeO (GeO₂ is more stable)
- Tin: both SnO and SnO₂ exist; SnCl₂ is a reducing agent
- Lead: PbO (Pb²⁺) is more stable than PbO₂ (Pb⁴⁺). PbO₂ is a strong oxidising agent precisely because it wants to become Pb²⁺ by gaining electrons.
Catenation
Catenation is the ability of an atom to bond with atoms of the same element to form long chains or rings. Carbon shows the highest degree of catenation among all elements because:
- C-C bond energy (347 kJ/mol) is high
- Carbon atoms are small so each bond is strong
- Carbon does not have d-orbitals in its valence shell, so it does not react with water
Silicon also catenates, but Si-Si bond energy is lower (226 kJ/mol) and Si has d-orbitals that make it susceptible to attack by water and nucleophiles. The maximum silane chain is about 6-8 Si atoms.
Nature of Hydrides
Hydrides of Group 14 (methane CH₄, silane SiH₄, germane GeH₄, stannane SnH₄, plumbane PbH₄) are all covalent. Their stability decreases down the group (C-H bond is stronger than Si-H, Ge-H, etc.). Methane is very stable; plumbane barely exists.
Nature of Oxides
Select a p-block element to see its highest oxide formula, nature (acidic/basic/amphoteric), and reactions with acid and base.
Highest oxide
Al₂O₃
amphoteric
Oxidation state
+3
Al₂O₃ (alumina) is the classic amphoteric oxide. Reacts with both acids and bases. Used in preparation of aluminium metal (Hall-Heroult process).
With acid
Al₂O₃ + 6HCl → 2AlCl₃ + 3H₂O
With base
Al₂O₃ + 2NaOH → 2NaAlO₂ + H₂O
Trend in oxide nature (Groups 13 and 14)
Group 13: B₂O₃ (acidic) → Al₂O₃ (amphoteric) → Ga₂O₃ (amphoteric) → In₂O₃, Tl₂O₃ (basic)
Group 14: CO₂ (acidic) → SiO₂ (acidic) → GeO₂ (amphoteric) → SnO₂ (amphoteric) → PbO (basic)
General rule: Acid → Amphoteric → Basic going down a group (increasing metallic character).
Inert pair effect: Heavier elements prefer lower oxidation states (+2 over +4 for Pb; +1 over +3 for Tl).
The character of the oxides changes from acidic (CO₂, SiO₂) to amphoteric (GeO₂, SnO₂) to basic (PbO). PbO₂ is amphoteric. Lead(II) oxide (PbO, litharge) is the most commonly encountered form.
Allotropes of Carbon
Diamond
Colourless/transparent | 3.51 g/cm³
Hybridization
sp³
Hardness
Hardest natural substance (10 Mohs)
Electrical conductivity
Insulator (no free electrons)
Thermodynamic stability
Thermodynamically less stable than graphite (ΔGf > 0) but kinetically stable
Structure
3D tetrahedral network — each C bonded to 4 others. Giant covalent lattice.
Uses
Jewellery, cutting tools, abrasives
Allotropy is the existence of an element in two or more physical forms in the same physical state. Carbon has three main crystalline allotropes: diamond, graphite, and fullerenes. Amorphous forms (coal, charcoal, coke) also exist.
Diamond
- Each carbon is sp³ hybridised
- Forms a 3D tetrahedral network — each C bonded to 4 other C atoms (coordination number = 4). All four bonds are equivalent sigma bonds.
- Hardest natural substance (Mohs hardness = 10). Used as a cutting and abrasive tool.
- Non-conductor of electricity (all 4 valence electrons are used in C-C bonds; no free electrons)
- Very high melting point (3550 °C) due to strong covalent network
- Good conductor of heat (due to strong covalent bonds that transmit vibrations efficiently)
- Transparent to light; high refractive index (total internal reflection makes diamonds sparkle)
Graphite
- Each carbon is sp² hybridised
- Forms 2D hexagonal layers (honeycomb lattice). Each C is bonded to 3 other C atoms in the layer. The fourth valence electron of each carbon is delocalised in a system across the entire layer.
- Good conductor of electricity (due to delocalised electrons). Used as electrodes in electrolytic cells and in batteries.
- Soft and slippery: the van der Waals forces between layers are weak, so layers slide easily. Used as a lubricant and in pencils.
- Black and opaque (absorbs light)
- Less dense than diamond (2.2 g/cm³ vs 3.5 g/cm³ for diamond)
- The interlayer distance in graphite is 3.35 Å (too large for covalent bonding; held by weak van der Waals forces)
Fullerenes
- Discovered in 1985 (Kroto, Curl, Smalley — Nobel Prize in Chemistry 1996). The most well-known fullerene is C₆₀ (Buckminsterfullerene), nicknamed "buckyball."
- C₆₀ has a structure resembling a football (soccer ball): 20 hexagonal + 12 pentagonal faces. Each carbon is bonded to 2 others via C-C single bonds (within hexagons and pentagons) and to one via a C=C double bond (between hexagons). All C atoms are sp² hybridised.
- No dangling bonds; completely closed cage structure
- Semiconductors: can be doped with metals to become superconductors
- Higher fullerenes include C₇₀, C₈₀, etc. Carbon nanotubes are rolled-up graphene sheets.
- All fullerenes can be solubilised in organic solvents (unlike diamond or graphite), making them processable in solution.
Important Compounds of Carbon
Carbon Monoxide, CO
CO is a colourless, odourless, and highly poisonous gas. It is produced by incomplete combustion of carbon-containing fuels.
Structure: The C-O bond in CO has a bond order of 3 (one sigma + one pi + one dative pi from O to C). It is isoelectronic with N₂.
Toxicity: CO binds to haemoglobin (Hb) to form carboxyhaemoglobin (HbCO) with an affinity about 200 times greater than O₂. This prevents O₂ from binding, causing suffocation at the cellular level.
Chemical properties:
- Strong reducing agent: used in the extraction of metals (blast furnace — reduces iron ore):
- Reacts with Cl₂ to form phosgene (COCl₂), a war gas:
- With NaOH (under pressure): forms sodium formate HCOONa (Kolbe's synthesis of formic acid)
- Combines with transition metals to form metal carbonyls, e.g., Ni(CO)₄ (Mond process for purifying nickel)
CO is neutral to litmus and does not react with water directly.
Carbon Dioxide, CO₂
CO₂ is a colourless, odourless, non-toxic gas. It is a linear molecule (O=C=O) where carbon is sp hybridised.
Properties:
- Acidic oxide: dissolves in water to form carbonic acid (H₂CO₃), a diprotic weak acid
- Reaction with lime water: (milky precipitate; excess CO₂ clears it by forming soluble Ca(HCO₃)₂)
- Heavier than air; does not support combustion (used in fire extinguishers)
- CO₂ can act as an oxidising agent at very high temperatures:
- CO₂ is a greenhouse gas: it absorbs infrared radiation from Earth's surface and radiates it back, contributing to global warming.
- Solid CO₂ (dry ice, −78.5 °C) sublimes directly without melting.
Silicon and Silicates
Silicon Dioxide, SiO₂
SiO₂ (silica, quartz) is a covalent network solid in which each Si is bonded to 4 O atoms in a tetrahedral arrangement (Si is sp³ hybridised). Unlike CO₂ (molecular gas), SiO₂ is a macromolecular solid. This is because Si uses d-orbitals to form Si-O-Si bridges and cannot form strong Si=O double bonds (unlike C which forms C=O).
SiO₂ reacts with HF (only) among acids:
SiO₂ reacts with alkalis and basic oxides:
SiO₂ does not react with water directly (unlike CO₂). It is used in making glass, ceramics, and in electronics (as semiconductor substrate).
Silicates
Silicates are salts of silicic acid. The basic structural unit is the tetrahedron. Different silicates arise by sharing different numbers of oxygen atoms between adjacent tetrahedra:
| Type | Sharing | Formula unit | Example |
|---|---|---|---|
| Orthosilicate (island) | None (0 shared) | Mg₂SiO₄ (olivine) | |
| Pyrosilicate | 1 per pair | Sc₂Si₂O₇ | |
| Cyclic (ring) | 2 each | Beryl (Be₃Al₂Si₆O₁₈) | |
| Chain (single) | 2 each (infinite) | per Si | Pyroxenes |
| Double chain | 2.5 per Si average | Asbestos (amphiboles) | |
| Sheet | 3 each | per 2 Si | Talc, micas, clay |
| Framework (3D) | 4 each | (neutral) | Quartz, feldspar, zeolites |
You only need to know the general principle: more O-sharing = lower O:Si ratio = more compact structure. For NEET, remember the two extremes: orthosilicate (SiO₄⁴⁻, no sharing) and framework silicate (SiO₂, complete sharing, 4 O per Si).
Silicones
Silicones are synthetic organosilicon polymers containing Si-O-Si linkages (siloxane bonds). The general repeating unit is , where R is an organic group (methyl, phenyl, etc.).
Properties: heat-resistant, water-repellent, electrical insulators, good lubricants, chemically inert.
Uses: sealants, lubricants, surgical implants (breast implants), electrical insulation, waterproofing textiles, cosmetics.
Sodium Silicate, Na₂SiO₃ (Water Glass)
Made by fusing SiO₂ with Na₂CO₃. Dissolves in hot water to give a viscous solution. Used in preserving eggs (forms impermeable silica gel coating), making silica gel (for drying/adsorption), and in fire-retardant treatments.
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Worked NEET Problems
NEET-style problem · Lewis Acid — Boron Compounds
Question
Which of the following compounds of boron acts as a Lewis acid? (A) H₃BO₃ (B) NaBH₄ (C) BF₃ (D) Na₂B₄O₇
Solution
Answer: (C) BF₃. BF₃ is electron-deficient: boron has only 6 electrons in 3 bonds, leaving one empty p-orbital. It readily accepts an electron pair from a Lewis base. NaBH₄ is a hydride donor (reducing agent). H₃BO₃ accepts OH⁻ (also a Lewis acid, but BF₃ is the classic textbook example). Na₂B₄O₇ is a salt.
NEET-style problem · Diborane Structure
Question
The number of B-H-B bridge bonds in diborane (B₂H₆) is: (A) 1 (B) 2 (C) 3 (D) 4
Solution
Answer: (B) 2. Diborane has 4 terminal B-H bonds (2c-2e, two on each B) and 2 bridging B-H-B bonds (3c-2e bonds). Each bridging bond involves one electron pair shared across three atoms (B, H, B). Total bridge bonds = 2.
NEET-style problem · Allotropes of Carbon — Conductivity
Question
Which allotrope of carbon is a good conductor of electricity? (A) Diamond (B) Fullerene C₆₀ (C) Graphite (D) Charcoal
Solution
Answer: (C) Graphite. Each C in graphite is sp² hybridised; the fourth valence electron per C is delocalised in a π system across the hexagonal layer. These mobile electrons carry charge. Diamond has all 4 electrons in sp³ C-C sigma bonds (insulator). Fullerenes are semiconductors. Charcoal lacks ordered structure.
NEET-style problem · Inert Pair Effect — Lead
Question
Which property of PbO₂ is explained by the inert pair effect? (A) Amphoteric character (B) Strong oxidising power (C) Solubility in water (D) Paramagnetism
Solution
Answer: (B) Strong oxidising power. The inert pair effect makes Pb²⁺ (6s² inert) more stable than Pb⁴⁺. PbO₂ (Pb in +4) readily gains 2 electrons to become Pb²⁺, making it a strong oxidiser. This tendency to reduce to the stable Pb²⁺ state is what gives PbO₂ its oxidising power.
NEET-style problem · CO Toxicity
Question
CO is poisonous because it: (A) Reacts with haemoglobin to form HbCO, blocking O₂ (B) Reacts with O₂ in the lungs to form CO₂ (C) Is an acidic gas that destroys lung tissue (D) Reduces Fe³⁺ to Fe²⁺ in haemoglobin
Solution
Answer: (A) Forms HbCO. CO binds to the Fe²⁺ centre of haemoglobin at the same site as O₂ but with an affinity about 200 times greater. This forms carboxyhaemoglobin (HbCO), preventing O₂ transport and causing cellular hypoxia. CO is not an acidic gas and does not react with O₂ in the lungs under physiological conditions.
Summary Cheat Sheet
Group 13 Quick Reference
| Property | Trend / Key Fact |
|---|---|
| Valence config. | ns²np¹ |
| Common oxidation state | +3 (and +1 for Ga, In; +1 more stable for Tl) |
| Atomic radius | B < Al > Ga (anomaly due to d-block contraction) < In > Tl |
| Boron — non-metal? | Yes, only non-metal in Group 13; covalent compounds |
| Borax bead test | Fuse metal oxide with borax bead; characteristic colour identifies metal |
| Diborane bridges | 2 B-H-B bridges (3c-2e bonds); 4 terminal B-H bonds |
| Boric acid — acid type | Lewis acid (accepts OH⁻, not H⁺ donor) |
| Al passivation | Conc. HNO₃ forms oxide layer; no reaction |
Group 14 Quick Reference
| Property | Trend / Key Fact |
|---|---|
| Valence config. | ns²np² |
| Inert pair effect | Pb²⁺ more stable than Pb⁴⁺; PbO₂ is a strong oxidiser |
| Diamond | sp³, hardest, insulator, 3D network |
| Graphite | sp², conductor, lubricant, 2D layered |
| C₆₀ (Buckminsterfullerene) | sp², semiconductor, 20 hexagons + 12 pentagons |
| CO toxicity | Binds Hb 200× more than O₂; forms HbCO |
| CO₂ + lime water | Milky precipitate (CaCO₃); excess CO₂ clears it |
| SiO₂ vs CO₂ | SiO₂ = network solid (no Si=O); CO₂ = molecular gas (C=O exists) |
| Silicate unit | SiO₄⁴⁻ tetrahedron (sharing 0 to 4 O gives different silicates) |
Frequently asked questions
Why does boron differ from the rest of Group 13?
Boron is the smallest element in Group 13 and has the highest charge density. Its compounds are largely covalent (e.g., BCl₃ is covalent, not ionic). Boron does not react with water or dilute acids under normal conditions, while Al reacts readily. Boron forms electron-deficient compounds (Lewis acids) and has a strong tendency to form multicentre bonds (like the 3c-2e bond in diborane). Boron also has an exceptionally high melting point (2300 °C) due to its covalent network structure, while other Group 13 metals are soft with low melting points. This is similar to the anomalous position of Li and Be in their respective groups.
What is the inert pair effect?
The inert pair effect is the tendency of the outermost s-electrons (the ns² pair) to remain non-bonding in the heavier elements of p-block groups. As you go down a group, the ns² electrons become more stabilised due to poor shielding by inner d and f electrons, making them less available for bonding. In Group 13, Tl prefers +1 (not +3). In Group 14, Pb prefers +2 (not +4). In Group 15, Bi prefers +3. In Group 16, Po prefers +2. In Group 17, At and heavier halogens prefer lower oxidation states. The inert pair effect explains why heavier p-block elements show lower oxidation states.
What are the allotropes of carbon and how do their properties differ?
Carbon has three main allotropes: (1) Diamond: each C is sp³ hybridised, forming a 3D tetrahedral network. It is the hardest natural substance, non-conductor, and has a very high melting point. (2) Graphite: each C is sp² hybridised, forming 2D hexagonal layers. The fourth electron is delocalised between layers, making graphite a good conductor of electricity and a lubricant (layers slide over each other). (3) Fullerenes (e.g., C₆₀, Buckminsterfullerene): C atoms arranged in pentagons and hexagons forming spherical cages. Each C is sp² hybridised. Fullerenes are semiconductors and have unique properties exploited in nanotechnology.
What is diborane and why is its structure unusual?
Diborane (B₂H₆) is the simplest boron hydride. Its structure is unusual because it has only 12 valence electrons for 7 bonds (2 B + 6 H). This is not enough for normal 2c-2e bonds everywhere. The molecule has two terminal B-H bonds on each boron (normal 2c-2e bonds) and two bridging B-H-B bonds. Each bridging bond is a 3-centre 2-electron (3c-2e) bond, where one electron pair is shared across three atoms (B-H-B). These are also called "banana bonds" or "bridge bonds". The four terminal H atoms and two boron atoms are coplanar; the two bridging H atoms are above and below this plane.
What is the difference between CO and CO₂ as reducing agents?
Carbon monoxide (CO) is a strong reducing agent: 2CO + O₂ → 2CO₂ and CO + metal oxide → metal + CO₂ (used in blast furnace to reduce iron ore). CO is extremely poisonous because it binds to haemoglobin (forming carboxyhaemoglobin) with an affinity 200 times greater than O₂. Carbon dioxide (CO₂) is generally not a strong reducing agent under normal conditions; it is already the oxidised product of carbon combustion. However, at very high temperatures, CO₂ can act as an oxidising agent for carbon: CO₂ + C → 2CO (Boudouard equilibrium). Both CO and CO₂ are acidic oxides, but CO₂ forms carbonic acid (H₂CO₃) with water while CO does not react with water directly.
What are silicates and what are the different types?
Silicates are salts derived from silicic acid. The basic building unit is the SiO₄⁴⁻ tetrahedron. Different silicate types arise depending on how many corners (O atoms) are shared between tetrahedra: (1) Orthosilicate (island silicate): independent SiO₄⁴⁻ units, e.g., Mg₂SiO₄ (olivine). (2) Pyrosilicate: two SiO₄ units share one O, giving Si₂O₇⁶⁻. (3) Ring silicate: 3 or 6 SiO₄ units share 2 O each, giving Si₃O₉⁶⁻ or Si₆O₁₈¹²⁻, e.g., beryl. (4) Chain silicate: infinite chains, SiO₃²⁻ per unit, e.g., pyroxenes. (5) Double chain silicate: Si₄O₁₁⁶⁻ per unit, e.g., amphiboles. (6) Sheet silicate: 3 out of 4 O shared, Si₂O₅²⁻ per unit, e.g., micas, talc. (7) Framework silicate: all 4 O shared, SiO₂ (quartz, no net charge).
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