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DP IB Chemistry: HL

Revision Notes

Home / IB / Chemistry: HL / DP / Revision Notes / 14. HL Chemical Bonding & Structure / 14.1 More Structures & Shapes / 14.1.1 Covalent Bonds


14.1.1 Covalent Bonds


Sigma Bonds

Bond overlap in covalent bonds

  • A single covalent bond is formed when two nonmetals combine
  • Each atom that combines has an atomic orbital containing a single unpaired electron
  • When a covalent bond is formed, the atomic orbitals overlap to form a combined orbital containing two electrons
    • This new orbital is called the molecular orbital
  • The greater the atomic orbital overlap, the stronger the bond
  • Sigma (σ) bonds are formed from the head-on/ end-to-end overlap of atomic orbitals
  • The electron density is concentrated between the two nuclei
  • S orbitals overlap this way as well as p to p, and s with p orbitals
 Chemical Bonding Bond Overlap in Sigma Orbitals, downloadable AS & A Level Chemistry revision notes

Sigma orbitals can be formed from the end-on overlap of s orbitals

 

Sigma from s and p molecular orbitals, downloadable IB Chemistry revision notes

Hydrogen fluoride has sigma bonds between s and p orbitals

 

Sigma from two p molecular orbitals, downloadable IB Chemistry revision notes

Fluorine has sigma bonds between p orbitals

  •  The electron density in a σ bond is symmetrical about a line joining the nuclei of the atoms forming the bond
  • The pair of electrons is found between the nuclei of the two atoms
  • The electrostatic attraction between the electrons and nuclei bonds the atoms to each other
 

Pi Bonds

π bonds

  • Pi (π) bonds are formed from the sideways overlap of adjacent p orbitals
  • The two lobes that make up the π bond lie above and below the plane of the σ bond
  • This maximises overlap of the p orbitals
  • A single π bond is drawn as two electron clouds one arising from each lobe of the p orbitals
  • The two clouds of electrons in a π bond represent one bond containing two electrons
Chemical Bonding Bond Overlap in Pi Orbitals, downloadable AS & A Level Chemistry revision notes

π orbitals are formed by the end-on overlap of p orbitals

Examples of sigma & pi bonds

Hydrogen

  • The hydrogen atom has only one s orbital
  • The s orbitals of the two hydrogen atoms will overlap to form a σ bond
Chemical Bonding Orbital Overlap in Hydrogen, downloadable AS & A Level Chemistry revision notes

Direct overlap of the 1s orbitals of the hydrogen atoms results in the formation of a σ bond

Ethene

  • Each carbon atom uses three of its four electrons to form σ bonds
  • Two σ bonds are formed with the hydrogen atoms
  • One σ bond is formed with the other carbon atom
  • The fourth electron from each carbon atom occupies a p orbital which overlaps sideways with another p orbital on the other carbon atom to form a π bond
  • This means that the C-C is a double bond: one σ and one π bond
Chemical Bonding Pi Bond in Ethene, downloadable AS & A Level Chemistry revision notes

Overlap of the p orbitals results in the forming of a π bond in ethene

Chemical Bonding Electron Density in Ethene, downloadable AS & A Level Chemistry revision notes

Each carbon atom in ethene forms two sigma bonds with hydrogen atoms and one σ bond with another carbon atom. The fourth electron is used to form a π bond between the two carbon atoms

Ethyne

  • This molecule contains a triple bond formed from two π bonds (at right angles to each other) and one σ bond
  • Each carbon atom uses two of its four electrons to form σ bonds
  • One σ bond is formed with the hydrogen atom
  • One σ bond is formed with the other carbon atom
  • Two electrons are used to form two π bonds with the other carbon atom 1.3 Chemical Bonding Orbital Overlap in Ethyne_1, downloadable AS & A Level Chemistry revision notes

Ethyne has a triple bond formed from two π bonds and one σ bond between the two carbon atoms

Predicting the Type of Bonds

  • Whether sigma (σ) or pi (π) bonds are formed can be predicted by consideration of the combination of atomic orbitals 

Worked Example

What type of molecular orbitals are found in nitrogen, N2, and hydrogen cyanide, HCN?

Answer

    • Nitrogen contains a triple bond and a lone pair on each nitrogen atom
    • Nitrogen atoms have the electronic configuration 1s22s22p3
    • The triple bond is formed from the overlap of the s orbitals on each N to form a σ bond and the overlap of two sets of p orbitals on the nitrogen atoms to form two π bonds
    • These π bonds are at right angles to each other

Chemical Bonding Orbital Overlap in Nitrogen, downloadable AS & A Level Chemistry revision notes

The triple bond is formed from two π bonds and one σ bond

    • Hydrogen cyanide contains a triple bond
    • One σ bond is formed between the H and C atom
    • A second σ bond is formed between the C and N atom
    • The remaining two sets of p orbitals of nitrogen and carbon will overlap to form two π bonds at right angles to each other

      Chemical Bonding Orbital Overlap in Hydrogen Cyanide, downloadable AS & A Level Chemistry revision notes

Hydrogen cyanide has a triple bond formed from a σ bond and the overlap of two sets of p orbitals of nitrogen

 


  • 1. Stoichiometric Relationships
    • 1.1 Matter, Chemical Change & the Mole Concept
      • 1.1.1 Elements, Compounds & Mixtures
        • 1.1.2 Equations
          • 1.1.3 State Changes
            • 1.1.4 The Mole Concept
              • 1.1.5 Moles-Mass Problems
                • 1.1.6 Empirical Formulae
                • 1.2 Reacting Masses & Volumes
                  • 1.2.1 Reacting Masses
                    • 1.2.2 Reaction Yields
                      • 1.2.3 Avogadro's Law & Molar Gas Volume
                        • 1.2.4 The Ideal Gas Equation
                          • 1.2.5 Gas Law Relationships
                            • 1.2.6 Real Gases
                              • 1.2.7 Standard Solutions
                                • 1.2.8 Concentration Calculations
                                  • 1.2.9 Titrations
                                • 2. Atomic Structure
                                  • 2.1 Atomic & Electronic Structure
                                    • 2.1.1 The Nuclear Atom
                                      • 2.1.2 Deducing Subatomic Particles
                                        • 2.1.3 Relative Atomic Mass Calculations
                                          • 2.1.4 The Electromagnetic Spectrum
                                            • 2.1.5 Emission Spectra
                                              • 2.1.6 Energy Levels & Sublevels
                                                • 2.1.7 Sublevels & Orbitals
                                                  • 2.1.8 Writing Electron Configurations
                                                • 3. Periodicity
                                                  • 3.1 The Periodic Table & Periodic Trends
                                                    • 3.1.1 The Periodic Table
                                                      • 3.1.2 Periodic Trends: Physical - Atomic & Ionic Radius
                                                        • 3.1.3 Periodic Trends: Physical - Ionisation Energy
                                                          • 3.1.4 Periodic Trends: Physical - Electron Affinity
                                                            • 3.1.5 Periodic Trends: Physical - Electronegativity
                                                              • 3.1.6 Periodic Trends: Chemical
                                                              • 3.2 Oxides, Group 1 & Group 17
                                                                • 3.2.1 Periodic Trends: Oxides Across a Period
                                                                  • 3.2.2 Periodic Trends: Group 1 - The Alkali Metals
                                                                    • 3.2.3 Periodic Trends: Group 17 - The Halogens
                                                                  • 4. Chemical Bonding & Structure
                                                                    • 4.1 Ionic & Covalent Bonding
                                                                      • 4.1.1 Forming Ions
                                                                        • 4.1.2 Ionic Compounds
                                                                          • 4.1.3 Formulae & Names of Ionic Compounds
                                                                            • 4.1.4 Covalent Bonds
                                                                              • 4.1.5 Bond Polarity
                                                                                • 4.1.6 Lewis Structures
                                                                                • 4.2 Resonance, Shapes & Giant Structures
                                                                                  • 4.2.1 Resonance Structures
                                                                                    • 4.2.2 Shapes of Molecules
                                                                                      • 4.2.3 Predicting Molecular Shapes
                                                                                        • 4.2.4 Molecular Polarity
                                                                                          • 4.2.5 Giant Covalent Structures
                                                                                          • 4.3 Intermolecular Forces & Metallic Bonding
                                                                                            • 4.3.1 Types of Intermolecular Forces
                                                                                              • 4.3.2 Deducing Intermolecular Forces
                                                                                                • 4.3.3 Properties of Covalent Compounds
                                                                                                  • 4.3.4 Metallic Bonding
                                                                                                    • 4.3.5 Trends in Melting Points of Metals
                                                                                                      • 4.3.6 Alloys & their Properties
                                                                                                    • 5. Energetics/ Thermochemistry
                                                                                                      • 5.1 Energetics
                                                                                                        • 5.1.1 Energy Changes in Reactions
                                                                                                          • 5.1.2 Standard Enthalpy Change
                                                                                                            • 5.1.3 Calorimetry
                                                                                                              • 5.1.4 Calorimetry Experiments
                                                                                                              • 5.2 Hess's Law
                                                                                                                • 5.2.1 Hess's Law
                                                                                                                  • 5.2.2 Using Hess's Law - Cycles
                                                                                                                    • 5.2.3 Using Hess's Law - Equations
                                                                                                                      • 5.2.4 Using ∆Hf° to Find Enthalpy Changes
                                                                                                                      • 5.3 Bond Enthalpy
                                                                                                                        • 5.3.1 Bond Enthalpy
                                                                                                                          • 5.3.2 Bond Enthalpy Calculations
                                                                                                                            • 5.3.3 Energy Profiles
                                                                                                                              • 5.3.4 Case Study: Ozone
                                                                                                                            • 6. Chemical Kinetics
                                                                                                                              • 6.1 Chemical Kinetics
                                                                                                                                • 6.1.1 Collision Theory
                                                                                                                                  • 6.1.2 Rate of Reaction
                                                                                                                                    • 6.1.3 Measuring Rates
                                                                                                                                      • 6.1.4 Activation Energy
                                                                                                                                        • 6.1.5 Rate Experiments
                                                                                                                                          • 6.1.6 Explaining Rates
                                                                                                                                            • 6.1.7 Maxwell-Boltzmann Curves
                                                                                                                                              • 6.1.8 Energy Profiles & Catalysis
                                                                                                                                            • 7. Equilibrium
                                                                                                                                              • 7.1 Equilibrium
                                                                                                                                                • 7.1.1 The State of Equilibrium
                                                                                                                                                  • 7.1.2 The Equilibrium Law
                                                                                                                                                    • 7.1.3 Equilibrium Constant Relationships
                                                                                                                                                      • 7.1.4 The Reaction Quotient
                                                                                                                                                        • 7.1.5 Le Chatelier's Principle
                                                                                                                                                          • 7.1.6 Catalysts & Equilibrium
                                                                                                                                                        • 8. Acids & Bases
                                                                                                                                                          • 8.1 Theories & Reactions of Acids & Bases
                                                                                                                                                            • 8.1.1 Brønsted–Lowry Acids & Bases
                                                                                                                                                              • 8.1.2 Conjugate Acid-Base Pairs
                                                                                                                                                                • 8.1.3 Characteristic Reactions of Acids
                                                                                                                                                                  • 8.1.4 Neutralization
                                                                                                                                                                  • 8.2 More About Acids
                                                                                                                                                                    • 8.2.1 Acid-base Titrations
                                                                                                                                                                      • 8.2.2 pH & [H⁺]
                                                                                                                                                                        • 8.2.3 Interpreting pH
                                                                                                                                                                          • 8.2.4 The Ionic Product of Water
                                                                                                                                                                            • 8.2.5 Acid-Base Calculations
                                                                                                                                                                              • 8.2.6 pH Meters & Universal Indicator
                                                                                                                                                                                • 8.2.7 Strong & Weak Acids & Bases
                                                                                                                                                                                  • 8.2.8 Comparing Strong & Weak Acids
                                                                                                                                                                                  • 8.3 Acid Deposition
                                                                                                                                                                                    • 8.3.1 Acid Deposition
                                                                                                                                                                                      • 8.3.2 Effects of Acid Deposition
                                                                                                                                                                                        • 8.3.3 Reducing Sulfur Oxide Emissions
                                                                                                                                                                                      • 9. Redox Processes
                                                                                                                                                                                        • 9.1 Redox Processes
                                                                                                                                                                                          • 9.1.1 Oxidation & reduction
                                                                                                                                                                                            • 9.1.2 Deducing Oxidation Numbers
                                                                                                                                                                                              • 9.1.3 Oxidizing & Reducing agents
                                                                                                                                                                                                • 9.1.4 Naming Transition Metal Compounds
                                                                                                                                                                                                  • 9.1.5 Half Equations
                                                                                                                                                                                                    • 9.1.6 The Activity Series
                                                                                                                                                                                                      • 9.1.7 Redox Titrations
                                                                                                                                                                                                        • 9.1.8 The Winkler Method
                                                                                                                                                                                                          • 9.1.9 Voltaic Cells
                                                                                                                                                                                                            • 9.1.10 Electrolytic Cells
                                                                                                                                                                                                          • 10. Organic Chemistry
                                                                                                                                                                                                            • 10.1 Fundamentals of Organic Chemistry
                                                                                                                                                                                                              • 10.1.1 Homologous Series
                                                                                                                                                                                                                • 10.1.2 Understanding Organic Molecules
                                                                                                                                                                                                                  • 10.1.3 Nomenclature
                                                                                                                                                                                                                    • 10.1.4 Organic Families - Hydrocarbons
                                                                                                                                                                                                                      • 10.1.5 Organic Families - Halogenoalkanes
                                                                                                                                                                                                                        • 10.1.6 Organic Families - Alcohols & Ethers
                                                                                                                                                                                                                          • 10.1.7 Organic Families - Carbonyls
                                                                                                                                                                                                                            • 10.1.8 Organic Families - Carboxylic Acids & Esters
                                                                                                                                                                                                                              • 10.1.9 Organic Families - Organic Nitrogen Compounds
                                                                                                                                                                                                                                • 10.1.10 3-D modelling
                                                                                                                                                                                                                                  • 10.1.11 Primary, Secondary & Tertiary atoms
                                                                                                                                                                                                                                    • 10.1.12 Benzene
                                                                                                                                                                                                                                    • 10.2 Functional Group Chemistry
                                                                                                                                                                                                                                      • 10.2.1 Alkanes - Combustion
                                                                                                                                                                                                                                        • 10.2.2 Alkanes - Halogenation
                                                                                                                                                                                                                                          • 10.2.3 Alkenes - Reactivity
                                                                                                                                                                                                                                            • 10.2.4 Alkenes - Hydrogenation
                                                                                                                                                                                                                                              • 10.2.5 Alkenes - Halogenation
                                                                                                                                                                                                                                                • 10.2.6 Alkenes - Hydrohalogenation
                                                                                                                                                                                                                                                  • 10.2.7 Alkenes - Hydration
                                                                                                                                                                                                                                                    • 10.2.8 Addition Polymers
                                                                                                                                                                                                                                                      • 10.2.9 Alcohols - Combustion
                                                                                                                                                                                                                                                        • 10.2.10 Alcohols - Oxidation
                                                                                                                                                                                                                                                          • 10.2.11 Alcohols - Esterification
                                                                                                                                                                                                                                                            • 10.2.12 Halogenoalkanes
                                                                                                                                                                                                                                                              • 10.2.13 Reactions of Benzene
                                                                                                                                                                                                                                                            • 11. Measurements & Data Processes
                                                                                                                                                                                                                                                              • 11.1 Spectroscopic Identification
                                                                                                                                                                                                                                                                • 11.1.1 Index of Hydrogen Deficiency
                                                                                                                                                                                                                                                                  • 11.1.2 Mass Spectrometry
                                                                                                                                                                                                                                                                    • 11.1.3 Nuclear Magnetic Resonance Spectroscopy
                                                                                                                                                                                                                                                                      • 11.1.4 Infrared Spectroscopy
                                                                                                                                                                                                                                                                      • 11.2 Synoptic Data Handling & Graphical Skills
                                                                                                                                                                                                                                                                        • 11.2.1 Recording Data
                                                                                                                                                                                                                                                                          • 11.2.2 Processing Errors
                                                                                                                                                                                                                                                                            • 11.2.3 Reducing the Impact of Errors
                                                                                                                                                                                                                                                                              • 11.2.4 Percentage Error
                                                                                                                                                                                                                                                                                • 11.2.5 Drawing Graphs
                                                                                                                                                                                                                                                                                  • 11.2.6 Analysing Graphs
                                                                                                                                                                                                                                                                                • 12. HL Atomic Structure
                                                                                                                                                                                                                                                                                  • 12.1 Electrons in Atoms
                                                                                                                                                                                                                                                                                    • 12.1.1 Emission Spectra & First Ionisation Energy
                                                                                                                                                                                                                                                                                      • 12.1.2 Ionisation Energy Trends
                                                                                                                                                                                                                                                                                    • 13. HL The Periodic Table- Transition Metals
                                                                                                                                                                                                                                                                                      • 13.1 Transition Metals
                                                                                                                                                                                                                                                                                        • 13.1.1 Transition Elements
                                                                                                                                                                                                                                                                                          • 13.1.2 Variable Oxidation States
                                                                                                                                                                                                                                                                                            • 13.1.3 Complex Ions
                                                                                                                                                                                                                                                                                              • 13.1.4 Catalytic & Magnetic Properties
                                                                                                                                                                                                                                                                                                • 13.1.5 Colour in Transition Metals
                                                                                                                                                                                                                                                                                                  • 13.1.6 Factors Affecting Colour
                                                                                                                                                                                                                                                                                                • 14. HL Chemical Bonding & Structure
                                                                                                                                                                                                                                                                                                  • 14.1 More Structures & Shapes
                                                                                                                                                                                                                                                                                                    • 14.1.1 Covalent Bonds
                                                                                                                                                                                                                                                                                                      • 14.1.2 More Lewis Structures
                                                                                                                                                                                                                                                                                                        • 14.1.3 Further VSEPR Theory
                                                                                                                                                                                                                                                                                                          • 14.1.4 Formal Charge
                                                                                                                                                                                                                                                                                                          • 14.2 Further Aspects of Bonding
                                                                                                                                                                                                                                                                                                            • 14.2.1 Delocalisation & Resonance
                                                                                                                                                                                                                                                                                                              • 14.2.2 Ozone Revisited
                                                                                                                                                                                                                                                                                                                • 14.2.3 Hybrid Orbitals
                                                                                                                                                                                                                                                                                                              • 15. HL Energetics / Thermochemistry
                                                                                                                                                                                                                                                                                                                • 15.1 Energy Cycles
                                                                                                                                                                                                                                                                                                                  • 15.1.1 Key Enthalpy Terms
                                                                                                                                                                                                                                                                                                                    • 15.1.2 Born-Haber Cycles
                                                                                                                                                                                                                                                                                                                      • 15.1.3 Born-Haber Cycle Calculations
                                                                                                                                                                                                                                                                                                                        • 15.1.4 Dissolution Energy Cycles
                                                                                                                                                                                                                                                                                                                          • 15.1.5 Energy Changes in Aqueous Solutions
                                                                                                                                                                                                                                                                                                                          • 15.2 Entropy & Spontaneity
                                                                                                                                                                                                                                                                                                                            • 15.2.1 Entropy
                                                                                                                                                                                                                                                                                                                              • 15.2.2 Calculating Entropy Change
                                                                                                                                                                                                                                                                                                                                • 15.2.3 Gibbs Free Energy
                                                                                                                                                                                                                                                                                                                                  • 15.2.4 Spontaneous Reactions
                                                                                                                                                                                                                                                                                                                                    • 15.2.5 Free Energy & Equilibrium
                                                                                                                                                                                                                                                                                                                                  • 16. HL Chemical Kinetics
                                                                                                                                                                                                                                                                                                                                    • 16.1 Rate Expression & Reaction Mechanism
                                                                                                                                                                                                                                                                                                                                      • 16.1.1 Rate Equations
                                                                                                                                                                                                                                                                                                                                        • 16.1.2 Rate Constants
                                                                                                                                                                                                                                                                                                                                          • 16.1.3 Graphical Representations
                                                                                                                                                                                                                                                                                                                                            • 16.1.4 Rate Determining Step
                                                                                                                                                                                                                                                                                                                                              • 16.1.5 Mechanism Problems
                                                                                                                                                                                                                                                                                                                                              • 16.2 Activation Energy
                                                                                                                                                                                                                                                                                                                                                • 16.2.1 The Arrhenius Equation
                                                                                                                                                                                                                                                                                                                                                  • 16.2.2 Graphing the Arrhenius Equation
                                                                                                                                                                                                                                                                                                                                                    • 16.2.3 Activation Energy from Rate Constants
                                                                                                                                                                                                                                                                                                                                                  • 17. HL Equilibrium
                                                                                                                                                                                                                                                                                                                                                    • 17.1 The Equilibrium Law
                                                                                                                                                                                                                                                                                                                                                      • 17.1.1 Applying the Equilibrium Law
                                                                                                                                                                                                                                                                                                                                                        • 17.1.2 Gibbs Free Energy & the Equilibrium Constant
                                                                                                                                                                                                                                                                                                                                                      • 18. HL Acids & Bases
                                                                                                                                                                                                                                                                                                                                                        • 18.1 Further Aspects of Acids & Bases
                                                                                                                                                                                                                                                                                                                                                          • 18.1.1 Lewis Theory
                                                                                                                                                                                                                                                                                                                                                            • 18.1.2 pH Curves
                                                                                                                                                                                                                                                                                                                                                              • 18.1.3 Indicators
                                                                                                                                                                                                                                                                                                                                                                • 18.1.4 Buffers
                                                                                                                                                                                                                                                                                                                                                                  • 18.1.5 Salt Hydrolysis
                                                                                                                                                                                                                                                                                                                                                                  • 18.2 Calculations Involving Acids & Bases
                                                                                                                                                                                                                                                                                                                                                                    • 18.2.1 Acid & Base Dissociation Constants
                                                                                                                                                                                                                                                                                                                                                                      • 18.2.2 Acid & Base Problem Solving
                                                                                                                                                                                                                                                                                                                                                                    • 19. HL Redox Processes
                                                                                                                                                                                                                                                                                                                                                                      • 19.1 Electrochemical Cells
                                                                                                                                                                                                                                                                                                                                                                        • 19.1.1 Electrochemical Cells
                                                                                                                                                                                                                                                                                                                                                                          • 19.1.2 The Standard Hydrogen Electrode
                                                                                                                                                                                                                                                                                                                                                                            • 19.1.3 Electrolysis of Aqueous Solutions
                                                                                                                                                                                                                                                                                                                                                                              • 19.1.4 Quantitative Electrolysis
                                                                                                                                                                                                                                                                                                                                                                                • 19.1.5 Free Energy & Eº
                                                                                                                                                                                                                                                                                                                                                                                  • 19.1.6 Electroplating
                                                                                                                                                                                                                                                                                                                                                                                • 20. HL Organic Chemistry
                                                                                                                                                                                                                                                                                                                                                                                  • 20.1 Types of Organic Reactions
                                                                                                                                                                                                                                                                                                                                                                                    • 20.1.1 Nucleophilic Substitution Reactions
                                                                                                                                                                                                                                                                                                                                                                                      • 20.1.2 Electrophilic Addition Reactions
                                                                                                                                                                                                                                                                                                                                                                                        • 20.1.3 Electrophilic Substitution Reactions
                                                                                                                                                                                                                                                                                                                                                                                          • 20.1.4 Reduction Reactions
                                                                                                                                                                                                                                                                                                                                                                                          • 20.2 Synthetic Routes
                                                                                                                                                                                                                                                                                                                                                                                            • 20.2.1 Synthesis
                                                                                                                                                                                                                                                                                                                                                                                            • 20.3 Stereoisomerism
                                                                                                                                                                                                                                                                                                                                                                                              • 20.3.1 Stereoisomers
                                                                                                                                                                                                                                                                                                                                                                                                • 20.3.2 Cis-Trans & E/Z Isomers
                                                                                                                                                                                                                                                                                                                                                                                                  • 20.3.3 Optical Isomers
                                                                                                                                                                                                                                                                                                                                                                                                • 21. Measurement & Analysis
                                                                                                                                                                                                                                                                                                                                                                                                  • 21.1 Spectroscopic Identification of Organic compounds
                                                                                                                                                                                                                                                                                                                                                                                                    • 21.1.1 High Resolution NMR
                                                                                                                                                                                                                                                                                                                                                                                                      • 21.1.2 X-Ray Crystallography
                                                                                                                                                                                                                                                                                                                                                                                                        • 21.1.3 Structure Identification Problems
                                                                                                                                                                                                                                                                                                                                                                                                      Stewart Hird

                                                                                                                                                                                                                                                                                                                                                                                                      Author: Stewart

                                                                                                                                                                                                                                                                                                                                                                                                      Stewart has been an enthusiastic GCSE, A Level and IB Chemistry teacher for more than 30 years in the UK as well as overseas, and has been an examiner for IB and A Level, also. As a long-standing Head of Department, Stewart brings a wealth of experience to creating Topic Questions and revision materials for Save My Exams.


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