Comprehensive Interactive Revision · Periodicity · Groups 2 & 17 · N & S · Transition Elements
AS Chapter 10 · Periodicity
Chemical Periodicity
The Periodic Table arranges elements in order of increasing atomic number (proton number). A period is a horizontal row; a group is a vertical column. Elements in the same group have the same number of outer (valence) electrons and show similar chemical properties.
1.1 Atomic Radius
The atomic radius is half the distance between the nuclei of two adjacent, identical atoms that are bonded together (covalent radius) or in contact (van der Waals radius).
Trends Across Period 3 (Na → Ar)
↓ Atomic radius decreases across a period. Nuclear charge increases but electrons are added to the same shell → greater attraction pulls electrons closer.
↑ Atomic radius increases down a group. Extra electron shells are added; shielding effect increases → outer electrons are further from the nucleus.
1.2 First Ionisation Energy
The first ionisation energy (IE₁) is the energy required to remove one mole of electrons from one mole of gaseous atoms to form one mole of gaseous unipositive ions under standard conditions.
X(g) → X+(g) + e− ΔH = IE₁
Trend Across Period 3
General increase Na → Ar: increasing nuclear charge, same shielding → electrons held more tightly.
Exceptions:
Al < Mg — Al's outer electron is in a 3p orbital (higher energy, easier to remove) vs Mg's 3s
S < P — S has a paired electron in one 3p orbital; electron-electron repulsion makes it easier to remove
Trend Down a Group
IE₁ decreases down a group: increasing atomic radius and shielding → outer electrons are less strongly attracted to the nucleus.
1.3 Electronegativity
Electronegativity (Pauling scale) is the ability of an atom to attract the shared pair of electrons in a covalent bond towards itself.
Increases across a period (left → right): more protons, smaller atomic radius
Decreases down a group: larger atomic radius, more shielding
Most electronegative element: F (4.0)
1.4 Melting Points of Period 3 Elements
Element
Structure
Melting Point / °C
Explanation
Na
Giant metallic lattice
98
Weak metallic bonding (1 delocalised e⁻)
Mg
Giant metallic lattice
650
Stronger metallic bonding (2 delocalised e⁻)
Al
Giant metallic lattice
660
Strongest metallic bonding (3 delocalised e⁻)
Si
Giant covalent (diamond-type)
1414
Many strong Si–Si covalent bonds; high energy to break
P
Simple molecular (P₄)
44
Weak van der Waals forces between P₄ molecules
S
Simple molecular (S₈)
113
Weak van der Waals forces; S₈ larger than P₄ → slightly stronger
Cl
Simple molecular (Cl₂)
−101
Very weak van der Waals; small molecule
Ar
Monatomic
−189
Extremely weak van der Waals forces
1.5 Reactions of Period 3 Elements with Oxygen
Period 3 Oxides — Acid/Base Character
Oxides of metals (Na, Mg, Al) are generally basic. The oxide of the metalloid Si is weakly acidic. Oxides of non-metals (P, S, Cl) are acidic.
The ionic chlorides (NaCl, MgCl₂) dissolve without reacting with water. Covalent chlorides (AlCl₃, SiCl₄, PCl₃, PCl₅) hydrolyse — they react with water, producing acidic solutions and steamy fumes of HCl.
Key Summary — Period 3 Trends
Atomic radius: decreases →, increases ↓
IE₁: generally increases → (with exceptions at Al and S); decreases ↓
Group 2 elements all have the outer electron configuration ns². They form +2 ions by losing both outer electrons. All are silver-white reactive metals.
2.1 Physical Trends Down Group 2
Property
Trend
Reason
Atomic radius
Increases
Extra electron shells added; shielding increases
Ionic radius (M²⁺)
Increases
Same reason as atomic radius
First IE
Decreases
Outer electrons further away; more shielding
Melting point
Generally decreases*
Weaker metallic bonding; larger, fewer electrons per unit volume
Reactivity with water increases down the group: Mg barely reacts with cold water; Ba reacts vigorously. This is due to the decreasing ionisation energy.
2.3 Reactions with Oxygen
2Mg(s) + O₂(g) → 2MgO(s)2Ca(s) + O₂(g) → 2CaO(s)2Sr(s) + O₂(g) → 2SrO(s)2Ba(s) + O₂(g) → 2BaO(s) (also forms BaO₂ at high pressure)
2.5 Thermal Stability of Group 2 Carbonates and Nitrates
Polarising power is the ability of a cation to distort (polarise) the electron cloud of a nearby anion. It increases with higher charge density — i.e. smaller ionic radius and/or higher charge.
Explaining Thermal Stability via Polarising Power
When a Group 2 cation sits next to a carbonate or nitrate anion in the lattice, it attracts electron density away from the anion — distorting and weakening the C–O or N–O bonds. This makes decomposition easier.
Polarising Power Down Group 2
Cation
Ionic Radius / pm
Charge Density
Polarising Power
Mg²⁺
72
Highest
Strongest — greatly distorts CO₃²⁻ / NO₃⁻
Ca²⁺
100
High
Strong
Sr²⁺
126
Moderate
Moderate
Ba²⁺
142
Lowest
Weakest — barely distorts CO₃²⁻ / NO₃⁻
As cation size increases down the group, charge density and polarising power decrease → the anion is less distorted → more thermal energy is required to decompose it → thermal stability increases down the group.
Carbonates — Thermal Decomposition
MgCO₃(s) → MgO(s) + CO₂(g) (decomposes at ~300 °C)CaCO₃(s) → CaO(s) + CO₂(g) (decomposes at ~840 °C)SrCO₃(s) → SrO(s) + CO₂(g) (decomposes at ~1100 °C)BaCO₃(s) → BaO(s) + CO₂(g) (decomposes at ~1360 °C)
Mechanism — Why Mg²⁺ Makes MgCO₃ Least Stable
The small, highly charged Mg²⁺ ion exerts a strong electric field on the adjacent CO₃²⁻ ion. This polarises the CO₃²⁻ electron cloud, weakening the C–O bonds and destabilising the carbonate lattice. Only a small amount of thermal energy (~300 °C) is then needed to break it apart, releasing CO₂.
Ba²⁺ is much larger and has a much lower charge density. It barely distorts the CO₃²⁻ ion, so the C–O bonds remain strong and ~1360 °C is required for decomposition.
Key link: smaller cation → greater polarising power → greater distortion of CO₃²⁻ → weaker C–O bonds → lower decomposition temperature → less thermally stable.
Mechanism — Polarising Power and Nitrate Stability
The same principle applies to nitrates. The NO₃⁻ ion contains N–O bonds that are weakened when polarised by a nearby cation. Mg²⁺, with its high charge density, strongly distorts the NO₃⁻ electron cloud, significantly weakening the N–O bonds. This means Mg(NO₃)₂ decomposes at a relatively low temperature.
Moving down the group, the increasing cation size reduces polarising power, so the N–O bonds in the nitrate are less distorted and the thermal stability of the nitrate increases.
All Group 2 nitrates decompose to the metal oxide, NO₂ (brown gas), and O₂ — unlike Group 1 nitrates (except LiNO₃) which decompose only to the nitrite.
2.6 Solubility Trends
The solubility of an ionic compound depends on the balance between two competing energetic processes: Lattice energy (LE) — energy released when gaseous ions form the solid lattice (always exothermic). Larger LE = harder to dissolve. Hydration energy (ΔHhyd) — energy released when gaseous ions are surrounded by water molecules (always exothermic). Larger ΔHhyd = easier to dissolve.
ΔHsolution = ΔHhyd(cation) + ΔHhyd(anion) − Lattice Energy
If ΔHsolution is negative (or small and positive), the compound is soluble.
Key Principle — Which Changes Faster?
Both lattice energy and hydration energy decrease as the cation gets larger (lower charge density). The crucial question is: which decreases faster?
If LE decreases faster than ΔHhyd → ΔHsolution becomes more negative → solubility increases down the group
If ΔHhyd decreases faster than LE → ΔHsolution becomes more positive → solubility decreases down the group
Hydroxides — Solubility Increases ↓
Mg(OH)₂ — slightly soluble (sparingly)
Ca(OH)₂ — slightly soluble (limewater)
Sr(OH)₂ — soluble
Ba(OH)₂ — soluble
Sulfates — Solubility Decreases ↓
MgSO₄ — very soluble (Epsom salt)
CaSO₄ — slightly soluble (gypsum)
SrSO₄ — insoluble
BaSO₄ — insoluble (used in barium meal)
Hydroxides — Why Solubility Increases Down the Group
Lattice Energy vs Hydration Energy for M(OH)₂
The OH⁻ ion is small. In M(OH)₂ lattices, the lattice energy is dominated by the interaction between M²⁺ and the small OH⁻. As the cation grows larger down the group, the lattice energy decreases relatively quickly because the interionic distance increases significantly.
The hydration energy of M²⁺ also decreases down the group, but more slowly than the lattice energy (because the large OH⁻ hydration energy stays roughly constant and partially compensates).
Net effect: LE decreases faster than ΔHhyd → ΔHsolution becomes less endothermic (or more exothermic) → hydroxides become more soluble down the group.
Hydroxide
Lattice Energy trend
ΔHhyd trend
Net effect on solubility
Mg(OH)₂ → Ba(OH)₂
Decreases steeply ↓
Decreases gently ↓
Solubility increases ↑
Sulfates — Why Solubility Decreases Down the Group
Lattice Energy vs Hydration Energy for MSO₄
The SO₄²⁻ ion is large. In MSO₄ lattices, because SO₄²⁻ is large, the interionic distance is already large even for Mg²⁺. As the cation grows down the group, the lattice energy decreases only slowly — adding a larger cation to an already large anion makes little proportional difference to interionic distance.
However, the hydration energy of M²⁺ decreases steeply as the cation becomes larger and its charge density drops.
Net effect: ΔHhyd decreases faster than LE → ΔHsolution becomes more endothermic → sulfates become less soluble down the group.
Sulfate
Lattice Energy trend
ΔHhyd trend
Net effect on solubility
MgSO₄ → BaSO₄
Decreases gently ↓
Decreases steeply ↓
Solubility decreases ↓
Summary Comparison — The Key Insight
Compound
Anion size
What decreases faster down the group?
Solubility trend
M(OH)₂
Small (OH⁻)
Lattice energy
Increases ↑ (Mg → Ba)
MSO₄
Large (SO₄²⁻)
Hydration energy of M²⁺
Decreases ↓ (Mg → Ba)
The size of the anion is the deciding factor: a small anion (OH⁻) gives lattices whose LE changes dramatically with cation size; a large anion (SO₄²⁻) gives lattices that are relatively insensitive to cation size, so hydration energy dominates the trend.
2.7 Important Uses
Compound
Use
CaO (quicklime)
Neutralise acidic soils; making slaked lime
Ca(OH)₂ (slaked lime)
Neutralise soil acidity; water treatment; whitewash
CaCO₃ (limestone)
Building material; manufacture of glass; CaO production
MgO
Refractory lining in furnaces; antacids
Mg(OH)₂
Milk of magnesia (antacid)
BaSO₄
Barium meal X-ray contrast agent (insoluble — not absorbed)
MgSO₄·7H₂O
Epsom salts; laxative
2.8 Test for Sulfate Ions (SO₄²⁻)
Qualitative Test
Add dilute HCl (to remove CO₃²⁻ interference), then add BaCl₂(aq):
Ba²⁺(aq) + SO₄²⁻(aq) → BaSO₄(s) (white precipitate, insoluble in HCl)
Remember: sulfate solubility decreases down the group (Mg soluble → Ba insoluble); hydroxide solubility increases down the group (Mg insoluble → Ba soluble). This is a common exam question!
ASA2 Chapter 12 · Group 17
Group 17 – The Halogens
FZ=9
ClZ=17
BrZ=35
IZ=53
AtZ=85
Group 17 elements all have the outer electron configuration ns²np⁵. They need one more electron to complete their outer shell, forming X⁻ ions. They are strong oxidising agents.
3.1 Physical Properties
Halogen
State (25 °C)
Colour
Boiling Point
F₂
Gas
Pale yellow
−188 °C
Cl₂
Gas
Yellow-green
−34 °C
Br₂
Liquid
Red-brown
59 °C
I₂
Solid
Shiny grey-black (purple vapour)
184 °C
Boiling points increase down the group: larger molecules have more electrons → stronger van der Waals (London dispersion) forces.
3.2 Oxidising Power — Displacement Reactions
Trend: Oxidising Power Decreases Down Group 17
A halogen higher in the group can oxidise (displace) the halide ion of a halogen lower in the group.
The ability to gain an electron (E + e⁻ → E⁻) is related to electron affinity. Down the group, the atom is larger with more electron shells → the incoming electron is less strongly attracted to the nucleus. Also, bond dissociation enthalpy of X–X decreases (less energy needed to break the bond, which actually favours reactivity), but the dominant factor is the lower electron affinity.
HClO is a weak acid but a powerful oxidising agent and bleach. It kills bacteria by oxidising cell components. This explains why chlorine is used in water purification.
Solutions: Catalytic converters in cars; flue gas desulfurisation (CaO + SO₂ → CaSO₃); switching to low-sulfur fuels.
4.10 NO₂ as a Homogeneous Catalyst for SO₂ Oxidation
In the atmosphere, the direct oxidation of SO₂ to SO₃ by O₂ is extremely slow without a catalyst. Nitrogen dioxide (NO₂), which is also a pollutant produced by vehicle engines and lightning, acts as a homogeneous catalyst — it is in the same gas phase as the reactants and dramatically accelerates SO₂ oxidation, contributing significantly to acid rain formation.
The NO₂ Catalytic Cycle — Two Steps
NO₂ catalyses the oxidation of SO₂ to SO₃ through a two-step cycle in which NO₂ is consumed in step 1 and regenerated in step 2. It is not used up overall — the hallmark of a catalyst.
1
Oxidation of SO₂ by NO₂
NO₂(g) + SO₂(g) → NO(g) + SO₃(g)
NO₂ acts as the oxidising agent, donating its oxygen atom to SO₂ to form SO₃. NO₂ is reduced to NO (oxidation state: N goes from +4 → +2). SO₂ is oxidised to SO₃ (S: +4 → +6).
↓
2
Regeneration of NO₂ from NO
2NO(g) + O₂(g) → 2NO₂(g)
The NO produced in step 1 is rapidly re-oxidised by atmospheric O₂ back to NO₂. This regenerates the catalyst, allowing the cycle to repeat indefinitely.
↓
∑
Overall reaction (NO₂ cancels out)
2SO₂(g) + O₂(g) → 2SO₃(g)
Adding both steps together, NO₂ does not appear in the net equation — confirming its role as a catalyst. The O₂ from the atmosphere is the ultimate oxidant.
Why This Mechanism Works — Oxidation States
Species
Oxidation State of N or S
Change
NO₂ → NO (Step 1)
N: +4 → +2
N is reduced (gains electrons from SO₂)
SO₂ → SO₃ (Step 1)
S: +4 → +6
S is oxidised (loses electrons to NO₂)
NO → NO₂ (Step 2)
N: +2 → +4
N is re-oxidised by atmospheric O₂
Key Features of Homogeneous Catalysis Here
NO₂ and SO₂ are both gases — catalyst and reactant are in the same phase (homogeneous catalysis)
NO₂ provides an alternative reaction pathway with a lower activation energy than the direct O₂ + SO₂ reaction
NO₂ is regenerated at the end of the cycle — its concentration is unchanged overall
The variable oxidation state of nitrogen (+2 in NO ↔ +4 in NO₂) is what makes this catalytic cycle possible — a classic feature of transition-element-like chemistry (though N is a non-metal)
Connection to the Lead Chamber Process (Historical)
This NO₂ catalytic cycle is essentially the same chemistry exploited in the historical Lead Chamber Process for making sulfuric acid (before the Contact Process replaced it). In that industrial process, NO₂ was deliberately added to react with SO₂ and O₂ in large lead-lined chambers filled with steam:
NO₂(g) + SO₂(g) → NO(g) + SO₃(g)2NO(g) + O₂(g) → 2NO₂(g) (NO recycled in the chamber)SO₃(g) + H₂O(g) → H₂SO₄(l) (dilute acid collected on chamber walls)
Understanding the atmospheric mechanism therefore also illuminates early industrial chemistry.
Exam tip: When asked why NO₂ is described as a homogeneous catalyst for SO₂ oxidation in the atmosphere, state that: (1) both NO₂ and SO₂ are in the same gas phase, (2) NO₂ is consumed in step 1 but regenerated in step 2, and (3) the overall equation shows no change in NO₂ — so it lowers Eₐ without being used up.
The NO₂ catalytic cycle is a key reason why air pollution from car exhaust (which produces both SO₂ from fuel sulfur and NO/NO₂ from engine combustion) accelerates acid rain formation far more effectively than either pollutant would alone.
4.11 Nitrogen Cycle — Brief Overview
Nitrogen fixation: N₂ → NH₃ (bacteria, lightning, Haber process)
Nitrification: NH₄⁺ → NO₂⁻ → NO₃⁻ (soil bacteria)
Denitrification: NO₃⁻ → N₂ (anaerobic bacteria)
Assimilation: plants take up NO₃⁻/NH₄⁺ to make proteins
A2 Chapter 14 · Transition Elements
Chemistry of Transition Elements
ScZ=21
TiZ=22
VZ=23
CrZ=24
MnZ=25
FeZ=26
CoZ=27
NiZ=28
CuZ=29
ZnZ=30
5.1 Definition and Properties
A transition element is a d-block element that forms at least one stable ion with an incompletely filled d sub-shell.
Note: Sc and Zn are NOT transition elements by this definition. Sc³⁺ has configuration [Ar] with empty 3d; Zn²⁺ has configuration [Ar]3d¹⁰ with a full 3d sub-shell.
Characteristic Properties of Transition Elements
Variable (multiple) oxidation states
Form coloured ions in solution
Act as catalysts (homogeneous and heterogeneous)
Form complex ions with ligands
Exhibit paramagnetism (unpaired d electrons)
5.2 Electronic Configurations
Element
Electron Configuration
Note
Sc
[Ar] 3d¹ 4s²
Ti
[Ar] 3d² 4s²
V
[Ar] 3d³ 4s²
Cr
[Ar] 3d⁵ 4s¹
Half-filled d is extra stable
Mn
[Ar] 3d⁵ 4s²
Fe
[Ar] 3d⁶ 4s²
Co
[Ar] 3d⁷ 4s²
Ni
[Ar] 3d⁸ 4s²
Cu
[Ar] 3d¹⁰ 4s¹
Fully filled d is extra stable
Zn
[Ar] 3d¹⁰ 4s²
When writing ion configurations, remove 4s electrons first: Fe²⁺ = [Ar] 3d⁶; Fe³⁺ = [Ar] 3d⁵
5.3 Variable Oxidation States
Element
Common Oxidation States
Examples
V
+2, +3, +4, +5
VO²⁺ (+4), VO₄³⁻ (+5)
Cr
+2, +3, +6
Cr³⁺ (green), Cr₂O₇²⁻ (+6)
Mn
+2, +4, +7
Mn²⁺ (pale pink), MnO₂ (+4), MnO₄⁻ (+7)
Fe
+2, +3
Fe²⁺ (pale green), Fe³⁺ (yellow/brown)
Co
+2, +3
Co²⁺ (pink), [Co(NH₃)₆]³⁺ (yellow)
Cu
+1, +2
Cu⁺ (colourless), Cu²⁺ (blue)
Variable oxidation states arise because the 3d and 4s electrons have similar energies, so different numbers can be involved in bonding.
5.4 Complex Ions and Ligands
A complex ion consists of a central metal ion surrounded by ligands — molecules or ions that donate a lone pair of electrons to the metal (coordinate/dative bonds).
Types of Ligands
Type
Example
Donor atoms
Monodentate
H₂O, NH₃, Cl⁻, CN⁻, OH⁻
1
Bidentate
en (ethane-1,2-diamine), C₂O₄²⁻ (oxalate)
2
Hexadentate
EDTA⁴⁻
6
Common Complex Ions — Shapes and Colours
Complex
Coordination Number
Shape
Colour
[Fe(H₂O)₆]²⁺
6
Octahedral
Pale green
[Fe(H₂O)₆]³⁺
6
Octahedral
Yellow/brown
[Cu(H₂O)₆]²⁺
6
Octahedral
Pale blue
[Cu(NH₃)₄(H₂O)₂]²⁺
6
Octahedral
Deep blue
[CuCl₄]²⁻
4
Tetrahedral
Yellow
[Co(H₂O)₆]²⁺
6
Octahedral
Pink
[CoCl₄]²⁻
4
Tetrahedral
Blue
[Ag(NH₃)₂]⁺
2
Linear
Colourless
[Ni(H₂O)₆]²⁺
6
Octahedral
Green
[MnO₄]⁻
4
Tetrahedral
Deep purple
[Cr(H₂O)₆]³⁺
6
Octahedral
Violet/green
5.5 Why Transition Metal Complexes Are Coloured
d-d Electron Transitions
In a transition metal complex, ligands split the 3d orbitals into two energy levels (crystal field splitting). An electron can absorb a photon of visible light to jump from the lower to the higher d level. The colour we see is the complementary colour of the wavelength absorbed.
The colour depends on: the metal ion, its oxidation state, the ligands present, and the coordination geometry.
Zn²⁺ and Sc³⁺ form colourless ions because Zn²⁺ (3d¹⁰) has a full d sub-shell and Sc³⁺ has an empty 3d — no d-d transitions are possible.
5.6 Ligand Substitution Reactions
Cu²⁺ + NH₃
[Cu(H₂O)₆]²⁺(aq) + 4NH₃(aq) → [Cu(NH₃)₄(H₂O)₂]²⁺(aq) + 4H₂O(l) pale blue → deep blue (inky blue)
Co²⁺ + Cl⁻
[Co(H₂O)₆]²⁺(aq) + 4Cl⁻(aq) → [CoCl₄]²⁻(aq) + 6H₂O(l) pink → blue (equilibrium: can reverse by adding water)
Ag⁺ + NH₃ (Tollens' reagent)
Ag⁺(aq) + 2NH₃(aq) → [Ag(NH₃)₂]⁺(aq)
5.7 Reactions of Aqueous Transition Metal Ions with NaOH and NH₃
Cu₂O (brick-red solid) is evidence for the existence of Cu⁺. Cu⁺ is stable in the solid state and in insoluble compounds, e.g. CuCl, Cu₂O, CuI.
5.12 Isomerism in Transition Metal Complexes
Complex ions can exhibit different types of isomerism — compounds with the same molecular formula but different structural arrangements. This is particularly rich in transition metal chemistry due to the variety of geometries and ligands possible.
Overview — Types of Isomerism in Complex Ions
Structural isomerism — different connectivity between atoms: ionisation isomerism, linkage isomerism, coordination isomerism
Stereoisomerism — same bonding connectivity, different arrangement in space: geometric (cis/trans) isomerism, optical isomerism
Geometric (cis/trans) Isomerism
In geometric isomerism, the same ligands can occupy different positions around the central metal ion due to restricted rotation about metal–ligand bonds. It occurs in square planar and octahedral complexes that contain two or more different types of ligand.
Square Planar Complexes — e.g. [Pt(NH3)2Cl2]
Platinum(II) forms square planar complexes with coordination number 4. When two different pairs of ligands are present, two distinct geometric isomers arise:
cis-[Pt(NH3)2Cl2] — two Cl ligands on the SAME side (adjacent positions, 90° apart)trans-[Pt(NH3)2Cl2] — two Cl ligands on OPPOSITE sides (180° apart) cis isomer = cisplatin (anti-cancer drug); trans isomer = transplatin (inactive)
Cisplatin — A Medically Important Geometric Isomer
cis-[Pt(NH3)2Cl2] (cisplatin) is a widely used anti-cancer drug. It enters the cell nucleus and cross-links guanine bases on adjacent DNA strands, distorting the double helix and triggering cancer cell death. The trans isomer (transplatin) cannot achieve this specific binding geometry — it is pharmacologically inactive. This is one of the most striking demonstrations in medicine of how spatial arrangement alone determines biological function.
Octahedral Complexes — e.g. [Co(NH3)4Cl2]+
In octahedral [MA4B2] complexes, two geometric isomers exist:
cis-[Co(NH3)4Cl2]+ — two Cl ligands adjacent (90° apart) (violet)trans-[Co(NH3)4Cl2]+ — two Cl ligands directly opposite (180° apart) (green)
Complex Formula
Geometry
Geometric Isomers?
Type
[MA6]
Octahedral
No
All ligands identical
[MA5B]
Octahedral
No
Only one arrangement possible for B
[MA4B2]
Square planar
Yes
cis / trans
[MA4B2]
Octahedral
Yes
cis / trans
[MA3B3]
Octahedral
Yes
fac / mer
[MA2B2]
Tetrahedral
No
All positions equivalent in tetrahedral geometry
Facial (fac) and Meridional (mer) Isomerism
For octahedral [MA3B3] complexes, two geometric isomers exist based on whether the three identical ligands occupy one triangular face or span a meridional plane:
fac-[Co(NH3)3Cl3] — three Cl on one triangular face; all Cl–Co–Cl angles = 90°mer-[Co(NH3)3Cl3] — three Cl span a meridian; one Cl–Co–Cl angle = 180°
Optical Isomerism
Optical isomers (enantiomers) are pairs of molecules that are non-superimposable mirror images of each other. They rotate plane-polarised light in opposite directions: the (+) or d form rotates light clockwise; the (−) or l form rotates it anticlockwise. A complex is optically active when it has no plane of symmetry (it is chiral).
Optical isomerism is especially prevalent in octahedral complexes containing bidentate ligands such as en (ethane-1,2-diamine) or oxalate (C2O42−), which wrap around the metal and create a chiral environment:
[Co(en)3]3+ — tris(en)cobalt(III): exists as Δ (delta) and Λ (lambda) enantiomers[Cr(C2O4)3]3− — tris(oxalato)chromate(III): also optically activecis-[Co(en)2Cl2]+ — IS optically active (no plane of symmetry)trans-[Co(en)2Cl2]+ — NOT optically active (plane of symmetry through the two Cl and the metal)
Rules for Optical Activity in Metal Complexes
A complex is optically active only if it has no plane of symmetry (is chiral)
Octahedral [M(bidentate)3] complexes are always chiral — both Δ and Λ enantiomers exist
cis-[M(bidentate)2X2] is chiral; trans-[M(bidentate)2X2] is NOT chiral
Tetrahedral [MABCD] with 4 different ligands is chiral
Square planar complexes are generally NOT optically active — the molecular plane acts as a plane of symmetry
Structural Isomerism
Ionisation Isomerism
These isomers have the same molecular formula but produce different ions in aqueous solution. They can be distinguished by simple precipitation tests:
[Co(NH3)5Br]SO4 → [Co(NH3)5Br]2+(aq) + SO42−(aq) → white BaSO4 precipitate with BaCl2(aq); NO AgBr precipitate with AgNO3(aq)[Co(NH3)5SO4]Br → [Co(NH3)5SO4]+(aq) + Br−(aq) → cream AgBr precipitate with AgNO3(aq); NO BaSO4 precipitate with BaCl2(aq)
Linkage Isomerism
Arises with ambidentate ligands — ligands that possess two different possible donor atoms and can therefore coordinate to the metal through either atom:
[Co(NH3)5(NO2)]2+ — N-bonded nitrite (nitro complex, N donor) yellow; thermodynamically stable[Co(NH3)5(ONO)]2+ — O-bonded nitrite (nitrito complex, O donor) red-brown; kinetic product, less stable
Other common ambidentate ligands: SCN− (can bond via S or via N) and CN− (can bond via C or via N).
In CIE A Level exams, geometric (cis/trans) isomerism is tested most frequently. Quick decision rule: (1) Does the complex have ≥2 different ligand types? (2) Is the geometry square planar or octahedral? If both conditions are met — geometric isomers exist. For optical isomerism — look for bidentate ligands wrapping around the metal and ask: can a plane of symmetry be drawn through the complex?
Complete Summary — Isomerism in Transition Metal Complexes
Category
Type
Key Condition
Classic Example
Stereoisomerism
cis / trans
Square planar or octahedral; ≥2 different ligands present
[Pt(NH3)2Cl2], [Co(NH3)4Cl2]+
fac / mer
Octahedral [MA3B3] type
[Co(NH3)3Cl3]
Optical (enantiomers)
No plane of symmetry; bidentate ligands common
[Co(en)3]3+, cis-[Co(en)2Cl2]+
Structural isomerism
Ionisation
Different ions released in solution
[Co(NH3)5Br]SO4 vs [Co(NH3)5SO4]Br
Linkage
Ambidentate ligand bonds via different donor atom
[Co(NH3)5(NO2)]2+ vs [Co(NH3)5(ONO)]2+
Summary — Key Features of Transition Metals
Definition: d-block element forming ≥1 ion with incomplete d sub-shell
Variable oxidation states → catalytic activity and redox chemistry
Coloured ions → d-d transitions in the visible spectrum
Complex ion formation → ligands donate lone pairs
Fe²⁺: green ppt; Fe³⁺: brown ppt; Cu²⁺: blue ppt; Cr³⁺: grey-green ppt; Co²⁺: pink/blue; Mn²⁺: cream ppt