Bond Hybridization

Using VSEPR theory to predict bond angles can sometimes be problematic because the angles that are predicted do not match the orbital angles.

Water molecule

Valence bond theory predicts that the angle between the two O-H bonds is 90°, while VSEPR theory predicts an angle of 109.5°.
- Experimental evidence shows that the bond angle is 104.5°.
To understand how molecules with more than two atoms form stable bonds, we require a more detailed model.

Wave function

The difference in the predicted bond angles of water molecules is explained by the wave function in quantum mechanics.
The wave function, ψ, is a mathematical expression that contains information about each orbital and the wavelike properties of electrons in an isolated atom.
When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes.
- The process of combining the wave functions for atomic orbitals is called hybridization.

Hybrid orbitals

The new orbitals that result are called hybrid orbitals.
These hybrid orbitals morph ‘s’ and ‘p’ orbitals into new equal hybrid orbitals which are part ‘s’ and part ‘p’.

Determining bond hybridization

Count the number of domains around the atom of interest:
- Bonded domains + non-bonded domains.
The number of domains will be distributed to each type of orbital:
- s = 1 orbital
- p = 3 orbitals
- d = 5 orbitals
- f = 7 orbitals
The sum of the orbitals equals the number of domains.
Use the chart to help predict the hybridized orbitals and their corresponding bond angles.

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Example: Ethene

Ethene has molecular formula C₂H₄.
Both carbons have three bonded domains, therefore the hybridization on each of the carbon atoms will be sp².
3 domains = 1 part s and 2 parts p, for a total of 3 equal hybridized orbitals.

1Structure - Models of the Particulate of Matter

1.1Introduction to the Particulate Model of Matter

1.1.1States of Matter

1.1.2Kinetic Molecular Theory

1.1.3Simple Sphere

1.1.4Changing State

1.1.5Forces Between Particles

1.1.6Changes of State

1.1.7Predicting States

1.1.8Changing State HyperLearning

1.1.9Ionization Energy

1.2The Nuclear Atom

1.2.1Fundamental Particles

1.2.2Isotopes & Mass Number

1.2.3Mass Spectrometry

1.2.4Mass Spectrometry

1.2.5Mass Spectroscopy - Analysis

1.2.6Extended Response - Mass Spectrometry

1.2.7Radioactivity

1.3Electron Configuration

1.3.1Electron Shells, Sub-Shells & Orbitals

1.3.2Electron Configuration

1.3.3Absorption & Emission Spectra

1.3.4IB Multiple Choice - Atomic Structure

1.3.5Extended Response - The Atom & Electrons

1.4Counting Particles by Mass: The Mole

1.4.1Relative Masses

1.4.2The Mole

1.4.3IB Multiple Choice - Moles

1.5Ideal Gases

1.5.1Ideal Gas Equation

1.5.2Gas Laws

1.5.3IB Multiple Choice - Gases & Kinetics

1.6Elements, Compounds & Mixtures

1.6.1Fundamental Particles

1.6.2Pure Substances

1.6.3Purity & The Law of Definite Proportion

1.6.4Mixtures

1.6.5Separating Mixtures

1.6.6IB Multiple Choice - Pure Substances

1.6.7Extended Response - Moles & Pure Substances

1.7States of Matter & Changes of State

1.7.1States of Matter

1.7.2Particle Diagrams

1.7.3IB Multiple Choice - Solids, Liquids, & Gases

1.7.4Balancing Equations & Ionic Equations

1.7.5Empirical & Molecular Formulas

1.8Reacting Masses &. Volumes

1.8.1Balancing Equations & Ionic Equations

1.8.2Percentage Yield

1.9Solutions

1.9.1Molarity

1.9.2Particulate Model of Solutions

2Structure - Models of Bonding & Structure

2.1The Ionic Model

2.1.1Ionic Bonding

2.2The Covalent Model

2.2.1Covalent Bonds

2.2.2Complex Ions

2.2.3Factors Affecting Covalent Bond Strength

2.2.4Polarity

2.3Covalent Structures

2.3.1Ionic Lewis Structures

2.3.2Covalent Lewis Structures

2.3.3VSEPR Theory

2.3.4Resonance Structures

2.3.5Allotropes of Carbon

2.3.6Formal Charge

2.3.7End of Topic Quiz - Bonding

2.3.8IB Multiple Choice - Bonding & Lewis Structures

2.3.9IB Multiple Choice - Resonance & Formal Charge

2.4The Metallic Model

2.4.1Metallic Bonding

2.5From Models to Materials

2.5.1Alloys

2.5.2Properties of Polymers

2.5.3Polymerisation Reactions

2.5.4Introduction to Alkenes

2.5.5Reactions of Alkenes

2.5.6End of Topic Quiz - Alkenes

2.6Valence Electrons & Ionic Compounds

2.6.1Valence Electrons & Forming Ions

2.6.2Ionic Compounds

2.6.3End of Topic Quiz - Atoms & Ions

2.6.4IB Multiple Choice - Valence & Ions

2.7Molecular Shape

2.7.1VSEPR

2.7.2Molecular Shapes

2.7.3Bond Hybridization

2.7.4IB Multiple Choice - VSEPR & Bond Hybridization

2.7.5Extended Response - Bonding & Molecular Shape

2.8Intermolecular Forces

2.8.1Introduction to Intermolecular Forces

2.8.2London Dispersion Forces

2.8.3Dipole-Dipole Interactions

2.8.4Ion-Dipole Interactions

2.8.5Hydrogen Bonding

2.8.6Large Biomolecules

2.8.7IB Multiple Choice - Intermolecular Forces

2.8.8Extended Response - Hydrogen Bonding

3Structure - Classification of Matter

3.1The Periodic Table: Classification of Elements

3.1.1The Periodic Table

3.1.2Trends in the Periodic Table

3.1.3End of Topic Quiz - Periodicity & Trends

3.1.4Periodic Trends - Electronegativity & Affinity

3.1.5End of Topic Quiz - Periodic Trends

3.1.6IB Multiple Choice - Periodic Trends

3.1.7Extended Response - Periodic Table

3.2Periodic Trends

3.2.1Atomic & Ionic Radii

3.2.2Ionisation & Electronegativity

3.2.3Metallic Behaviour & Oxides

3.2.4Period 3 Elements & Oxides

3.2.5Period 3 Oxides

3.2.6End of Topic Quiz - Period 3

3.2.7Periodic Trends: Blocks

3.2.8Redox Chemistry

3.3Group 1 Alkali Metals

3.3.1Alkali Metals

3.4Halogens

3.4.1Introduction to Halogens

3.4.2Reactions of Halogens

3.4.3Chlorine & Chlorate(I)

3.4.4End of Topic Quiz - Group 7

3.4.5Exam-Style Question - Group 7

3.4.6End of Topic Quiz - Periodicity, Group 2 & 7

3.5Noble gases, group 18

3.5.1Noble Gases

3.6Functional Groups: Classification of Organic

3.6.1Nomenclature

3.6.2Trends in Physical Properties

3.6.3Saturated & Unsaturated Hydrocarbons

3.6.4Nomenclature contd.

3.6.5Types of Formulas

3.6.6Isomerism

3.6.7Formulae

3.6.8Homologous Series

3.6.9Structural Isomers

3.7Functional Group Chemistry

3.7.1Degrees of Substitution

3.7.2Arenes

3.8Alkanes

3.8.1Alkanes

3.8.2Fractional Distillation

3.8.3Cracking

3.8.4Combustion

3.8.5Chlorination

3.8.6End of Topic Quiz - Alkanes

3.9Alcohols

3.9.1Production of Alcohols

3.9.2Oxidation of Alcohols

3.9.3Oxidation of Alcohols - 2

3.9.4Elimination Reactions

3.9.5End of Topic Quiz - Alcohols

3.9.6Exam-Style Question - Alcohols

3.10Halogenoalkanes

3.10.1Substitution Reactions

3.10.2Elimination Reactions

3.10.3Ozone Depletion

3.10.4End of Topic Quiz - Halogenoalkanes

4Reactivity - What Drives Chemical Reaction?

4.1Endothermic & Exothermic Reactions

4.1.1Endothermic & Exothermic Reactions

4.1.2Energy Diagrams

4.1.3Heat Transfer & Thermal Equilibrium

4.1.4IB Multiple Choice - Enthalpy & Energy

4.2Enthalpy of Reaction, Formation, & Hess' Law

4.2.1Enthalpy of Reaction

4.2.2Bond Enthalpies

4.2.3Enthalpy of Formation

4.2.4Hess’ Law

4.2.5Thermodynamics & Kinetic Control

4.2.6End of Topic Quiz - Thermodynamics

4.2.7IB Multiple Choice - Enthalpy

4.2.8Extended Response - Enthalpy Change

4.3Entropy

4.3.1Introduction to Entropy

4.3.2Absolute Entropy & Entropy Change

4.3.3Free Energy

4.3.4Thermodynamically Favorable Reactions

4.3.5IB Multiple Choice - Entropy & Free Energy

4.3.6Extended Response - Free Energy

5Reactivity - How Much, How Fast & How Far?

5.1Kinetics

5.1.1Collision Theory & Rates of Reaction

5.1.2Maxwell-Boltzmann Distribution

5.1.3Increasing Rates

5.1.4End of Topic Quiz - Kinetics

5.2Rates of Reaction

5.2.1Rate Equations

5.2.2Rate Equations 2

5.2.3The Effect of a Catalyst

5.3Stoichometry

5.3.1Stoichiometry

5.4Le Châtelier’s Principle

5.4.1Introduction to Le Châtelier’s Principle

5.4.2Reaction Quotient & Le Châtelier’s Principle

5.4.3Temperature & Le Châtelier’s Principle

5.4.4IB Multiple Choice -Le Châtelier’s Principle

5.4.5Extended Response - Le Châtelier

5.5Introduction to Equilibrium

5.5.1Equilibrium & Equilibrium Graphs

5.5.2Dynamic Equilibria

5.5.3Reversible Reactions & Directions

5.6Equilibrium Constant

5.6.1Calculating the Equilibrium Constant

5.6.2Magnitude of the Equilibrium Constant

5.6.3Properties of the Equilibrium Constant

5.6.4Calculating Equilibrium Concentrations

5.6.5Representations of Equilibrium

5.6.6IB Multiple Choice - Equilibrium Constants

5.6.7Extended Response - Calculating Kc

5.7Reaction Quotient & Equilibrium Constant

5.7.1Reaction Quotient

5.7.2Equilibrium Constants

5.7.3Partial Pressures

5.7.4Kp

5.7.5IB Multiple Choice - Reaction Quotient & Kp

5.7.6Extended Response - Kp & Bond Enthalpy

6Reactivity - The Mechanisms of Chemical Change

6.1Proton Transfer Reactions

6.1.1Brønsted-Lowry Theory

6.2The pH Scale

6.2.1pH & pOH

6.2.2Ionic Product of Water

6.2.3Using Kw

6.2.4IB Multiple Choice - pH & Kw

6.2.5Extended Response - Kw

6.3Strong & Weak Acids and Bases

6.3.1Strong Acids & Bases

6.3.2Weak Acids & Ka

6.3.3Weak Bases & Kb

6.3.4Weak Acids & Bases Calculation Walkthrough

6.4Acid Deposition

6.4.1Acid Deposition

6.5Types of Organic Reactions

6.5.1Electrophilic Substitution

6.6Oxidation & Reduction

6.6.1Oxidation Number Method

6.6.2Winkler Method

6.6.3Redox Reactions

6.6.4Oxidation States & Equations

6.6.5End of Topic Quiz - Redox

6.6.6Extended Response - Redox Reactions

6.7Electrochemical Cells

6.7.1Introduction to Electrochemical Cells

6.7.2Galvanic Cells

6.7.3Cell Notation

6.7.4Electrolytic Cells

6.7.5Extended Response - Voltaic Cells & Redox

6.8Titration

6.8.1Redox Titrations

6.8.2Titration Calculations

6.8.3Atom Economy

6.9Acid-Base Titrations

6.9.1Titration Calculation Weak Acid & Strong Base

6.9.2Titration Experimental Detail

6.9.3Extended Response - Titration

6.9.4Titration Calculations

6.9.5Titration Curves

6.9.6Titration Calculation Strong Acid & Weak Base

6.9.7IB Multiple Choice - Titrations

6.9.8Polyprotic Acids

6.9.9Titration Calculations Strong Acid & Strong Base

6.9.10Titrations Curves 2

7Measurement, Data Processing & Analysis

7.1Uncertainties & Errors in Measurements & Results

7.1.1Qualitative & Quantitative data

7.2Graphical Techniques

7.2.1Drawing & Interpreting Graphs

7.2.2Linear Interpolation

7.3Spectroscopic Identification of Organic Compounds

7.3.1Understanding NMR

7.3.2Carbon-13 NMR

7.3.3Hydrogen-1 NMR

7.3.4Hydrogen-1 NMR 2

7.3.5End of Topic Quiz - NMR

7.4Infrared Spectroscpy

7.4.1Infrared Spectroscopy

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