1.Lesson overview

Syllabus focus
Cambridge IAL syllabus reference
  • 3.4 Covalent bonding and coordinate (dative covalent) bonding
  • 3.7 Dot-and-cross diagrams
Edexcel IAL syllabus reference
  • 3B Covalent bonding
AQA IAL syllabus reference
  • 1.3 Bonding (International AS)
AP Chemistry syllabus reference
  • 1.8 Valence Electrons and Ionic Compounds
  • 2.1 Types of Chemical Bonds
  • 2.3 Structure of Ionic Solids
  • 2.4 Structure of Metals and Alloys
  • 2.5 Lewis Diagrams
  • 2.6 Resonance and Formal Charge
  • 2.7 VSEPR and Hybridization
  • 2.2 Intramolecular Force and Potential Energy
By the end of this lesson you should be able to
  • Describe a covalent bond as the electrostatic attraction between a shared electron pair and the nuclei of the bonded atoms, arising from orbital overlap.
  • Construct accurate dot-and-cross or Lewis diagrams for covalent molecules and ions, showing lone pairs, charges and all valence electrons.
  • Relate bond order to bond length and bond strength in covalent species.
  • Represent the relationship between potential energy and internuclear distance, and relate the minimum to bond length and bond strength.
  • Define a coordinate bond as donation of a lone pair by one atom and represent its formation in species such as ammonium.
  • Use physical evidence, including melting point and electrical conductivity, to distinguish covalent substances from ionic or metallic substances.

Covalent bonding is best understood as an electrostatic attraction created by shared electron density, not as atoms simply touching. The orbital model explains why bonds have direction and strength, while coordinate bonding shows that a shared pair can originate from one atom without becoming a different kind of bond.

How this chapter fits together

Move from orbital overlap to ordinary shared pairs, multiple bonds and dot-and-cross representations. Then examine coordinate bonds, bond order and bond properties, using evidence from structure and physical behaviour to distinguish covalent substances.

2.Key language and ideas

Use these definitions precisely
Covalent bond
Strong electrostatic attraction between two nuclei and a shared pair of electrons.
Sigma bond,
A covalent bond formed by head-on overlap of orbitals along the line joining two nuclei.
Pi bond,
A covalent bond formed by sideways overlap of parallel orbitals.
Coordinate bond
A covalent bond in which both electrons in the shared pair were donated by the same atom.
Lone pair
A pair of outer-shell electrons not used in covalent bonding.
Bond enthalpy
The enthalpy change needed to break one mole of a specified covalent bond in gaseous molecules.

3.Explain covalent bonding through orbital overlap

When atomic orbitals overlap, electron density lies between two nuclei. Attraction of both positive nuclei to this shared negative density holds the atoms together. A covalent bond is directional because the electron density is concentrated in a particular region of space.

A single bond is normally one bond. A double bond contains one and one bond; a triple bond contains one and two bonds. The weaker, exposed component makes multiple bonds especially important in organic reactivity.

4.A coordinate bond has a distinct origin, not distinct fate

A covalent bond is a shared pair of electrons. In a coordinate (dative) bond, both electrons in the newly shared pair originate from one donor species and enter an empty acceptor orbital. Once formed, the bond is not automatically weaker or chemically distinguishable solely because of its origin. Lewis structures help account for valence electrons and formal charges, but multiple valid resonance contributors may be needed where electrons are delocalised.

5.Use electron accounting to construct covalent formulae

Atoms share electrons to achieve a more stable outer-shell arrangement. Hydrogen requires two electrons in its first shell; many second-period atoms form enough shared pairs to reach eight outer-shell electrons. This is a useful pattern, not an excuse to ignore supplied charges or known bonding.

Dot-and-cross diagrams track the origin of electrons. Use different marks for different atoms, show all outer electrons, and put brackets and the charge around ions. A displayed formula shows every bond but normally omits lone pairs; choose the representation requested by the question.

Dot-and-cross diagrams for hydrogen, hydrogen chloride, water and methane: overlapping outer shells with one shared pair in each overlap, and lone pairs shown on the chlorine and oxygen atoms.
Figure 1: Dots and crosses show which atom each electron came from, and counting the shared and lone pairs gives each molecule's bonding.

6.Relate bond order to bond length and strength

For the same pair of atoms, a higher bond order usually means more electron density between the nuclei, a shorter bond and a larger bond enthalpy. Thus a carbon-carbon triple bond is shorter and stronger than a carbon-carbon double bond, which is shorter and stronger than a carbon-carbon single bond.

These comparisons are valid only when the atoms being compared are the same. A bond's polarity and environment also influence its length and strength, so avoid treating one numerical bond-energy value as universal outside the stated molecule.

A potential-energy curve gives the same idea a visual form. As two atoms approach, attraction lowers potential energy until a minimum is reached at the equilibrium bond length. Bringing them closer than this creates strong repulsion, while separating them to a very large distance requires energy equal to the bond dissociation energy. A deeper minimum represents a stronger bond; its horizontal position gives the bond length.

7.Recognise coordinate bonding as electron-pair donation

A coordinate bond forms when a lone-pair donor supplies both electrons to an electron-deficient acceptor. For example, ammonia donates a lone pair to to form . Once formed, the coordinate bond is equivalent to the other N–H covalent bonds in the ion.

Coordinate bonding also explains dimeric aluminium chloride, in which chlorine lone pairs bridge between electron-deficient aluminium centres. In an arrow representation, draw the arrow from the atom with the lone pair to the atom or ion that accepts it.

A lone pair donates to a proton

8.Use evidence to identify covalent substances

Simple covalent molecules usually have low melting and boiling temperatures because only intermolecular attractions are overcome on melting or boiling; the strong covalent bonds within each molecule remain intact. They usually do not conduct electricity because they contain no mobile ions or delocalised electrons.

Giant covalent structures are different: covalent bonds extend throughout the solid, so they can have very high melting temperatures. Always identify whether a question concerns bonds within particles or forces between particles; confusing the two produces weak property explanations.

Bond types in common species
SpeciesKey bonding feature
One shared pair; one bond.
One and one bond.
One and two bonds.
Four N–H covalent bonds; one originated as a coordinate bond.

9.Build covalent structures from electron accounting

A Lewis or dot-and-cross diagram is a bookkeeping model: count the valence electrons, place shared pairs between bonded atoms, then place remaining electrons as lone pairs. The drawing is only acceptable when every atom has the required electron count—or when an expanded octet or odd-electron species is explicitly allowed by the structure being discussed.

Orbital language adds a three-dimensional explanation. A sigma bond comes from direct overlap along the internuclear axis and permits rotation if no other bond prevents it. A pi bond comes from sideways overlap of parallel p orbitals; it is weaker than a sigma bond and restricts rotation because the p orbitals must remain aligned. A double bond therefore contains one sigma and one pi bond, while a triple bond contains one sigma and two pi bonds.

A disciplined way to think about it
Coordinate bonding changes how a shared pair is supplied, not the nature of the bond after it forms.

10.Worked example 1: Construct a dot-and-cross account for carbon dioxide

Question

Describe the bonding and electron arrangement in .

Step-by-step solution
  1. 1
    Carbon has four outer electrons and each oxygen has six, giving 16 outer electrons in total.
  2. 2
    Place carbon between the two oxygen atoms and form two shared pairs with each oxygen.
  3. 3
    Each C–O bond is a double bond: one and one bond.
  4. 4
    Each oxygen retains two lone pairs; carbon has no lone pairs in this representation.
Where the marks are won
State two double covalent bonds and the correct lone-pair count. Do not use ionic charges for ordinary carbon dioxide.

11.Worked example 2: Explain formation of ammonium

Question

Explain how forms from ammonia and a proton.

Step-by-step solution
  1. 1
    Ammonia has a lone pair on nitrogen.
  2. 2
    The proton is electron deficient and accepts that lone pair.
  3. 3
    Nitrogen donates both electrons to form a coordinate covalent bond to hydrogen.
  4. 4
    The product has an overall +1 charge because the proton adds positive charge without adding an electron.
Where the marks are won
The arrow must point from nitrogen's lone pair to ; calling the bond ionic loses the central idea.

12.Worked example 3: Explain the bonding in NH₄⁺ formed when ammonia reacts with hydrogen chloride gas.

Question

Explain the bonding in NH₄⁺ formed when ammonia reacts with hydrogen chloride gas.

Step-by-step solution
  1. 1
    NH₃ contains three N–H covalent bonds and one lone pair on nitrogen.
  2. 2
    HCl transfers a proton, H⁺, to the lone pair on nitrogen; the chloride ion is the counter-ion.
  3. 3
    The lone pair forms a coordinate bond between N and H⁺, producing NH₄⁺.
  4. 4
    Once formed, all four N–H bonds are equivalent in the ion; the coordinate origin is a formation history, not a different final bond type.
What the method shows
Show the lone pair donation from N to H⁺ and include the overall positive charge on NH₄⁺.

13.Extended worked case: apply and evaluate

Problem

Explain formation of from and .

Reasoned solution
  1. 1

    Nitrogen in has a lone pair; has no electron to contribute.

  2. 2

    Nitrogen donates its lone pair into a bond with the proton, forming a fourth N–H bond.

  3. 3

    The product has four N–H bonds and overall charge , represented by .

Check or limitation

Do not draw one N–H bond as permanently special in the ammonium ion; the four bonds are equivalent in its tetrahedral structure.

14.Using physical evidence to infer bonding

Melting behaviour, conductivity and solubility provide evidence about structure. No one observation proves a model on its own, so compare a pattern of properties against the predictions for molecular, ionic, metallic and giant covalent materials.

Using physical evidence to infer bonding
  1. 1
    Select
    Stage 1
    Choose samples with contrasting known structures and record predicted conductivity and relative melting behaviour.
  2. 2
    Observe
    Stage 2
    Test conductivity where safe and inspect provided melting-point or boiling-point data rather than trying to heat unknown substances.
  3. 3
    Infer
    Stage 3
    State which particles are mobile and which attractions must be overcome, then identify the most consistent structure.
Safety and quality
Use only teacher-approved samples and low-voltage equipment. Treat powders as potentially harmful, avoid inhalation and never heat an unknown organic substance.

15.Connections, patterns and applications

Think beyond this page
To molecular shape
Bonding pairs and lone pairs are the electron domains used to predict shape and bond angle.
To organic mechanisms
The weaker component of a double bond is the site attacked in electrophilic addition.

16.Exam method: build a covalent representation accurately

Electron bookkeeping before drawing prevents missing lone pairs, incorrect charges and impossible valences.

A reliable exam method
  1. 1
    Count
    Stage 1
    Add the outer electrons, adjusting for any ionic charge.
  2. 2
    Connect
    Stage 2
    Place the likely central atom and make shared pairs to give an appropriate outer shell.
  3. 3
    Check
    Stage 3
    Count electrons again, add lone pairs and charges, then identify , or coordinate bonds if asked.

17.Common misconceptions

Avoid these errors
  • Calling a coordinate bond a different force after it has formed.
  • Forgetting that a double bond contains one bond as well as one bond.
  • Explaining a low boiling temperature by weak covalent bonds rather than weak forces between molecules.

18.Exam focus and retrieval

How to earn clear, accurate marks
  • In a dot-and-cross diagram, distinguish electron origins and show brackets around charged species.
  • Use electron-pair donor and acceptor when explaining coordinate bonding.
  • Specify whether a property depends on intramolecular bonds or intermolecular forces.
Quick checks — answer without looking back
  1. 1
    How many bonds are in ?
  2. 2
    Which atom donates the shared pair in ammonium formation?
  3. 3
    Why are simple molecular substances usually non-conductors?

19.Summary

What to carry forward
  • Covalent bonds arise from attraction between nuclei and shared electron pairs.
  • Multiple bonds contain one bond plus one or more bonds.
  • Coordinate bonds form by donation of a lone pair and become ordinary covalent bonds once formed.
  • Property explanations must distinguish covalent bonds from intermolecular forces.
I can now…
  • Construct and interpret dot-and-cross diagrams, orbital-overlap models, sigma and pi bonds, hybridisation, and coordinate bonds.
Bonding & Giant Structures in 3DOpen full screen

20.Curriculum alignment and applied reasoning

Detailed-note focus

This extension turns the lesson into an exam-ready sequence: identify the evidence, apply the mechanism or calculation, then state a qualified conclusion. Core outcomes revisited here include: Describe a covalent bond as the electrostatic attraction between a shared electron pair and the nuclei of the bonded atoms, arising from orbital overlap.; Construct accurate dot-and-cross or Lewis diagrams for covalent molecules and ions, showing lone pairs, charges and all valence electrons.; Relate bond order to bond length and bond strength in covalent species..

Cross-course alignment
Where this lesson transfers
CourseMapped focus in this lesson
Cambridge International A Level Chemistry 97013.4 Covalent bonding and coordinate (dative covalent) bonding
3.7 Dot-and-cross diagrams
Edexcel IAL Chemistry3B Covalent bonding
AQA International A-level Chemistry1.3 Bonding (International AS)
AP Chemistry1.8 Valence Electrons and Ionic Compounds
2.1 Types of Chemical Bonds
2.3 Structure of Ionic Solids
2.4 Structure of Metals and Alloys
2.5 Lewis Diagrams
2.6 Resonance and Formal Charge
2.7 VSEPR and Hybridization
2.2 Intramolecular Force and Potential Energy
Applied analysis: Electron-pair accounting

Scenario: Explain the formation of ammonium from ammonia and a proton using a displayed equation, then state why the coordinate bond is not permanently different from the other N–H bonds.

Worked reasoning: A lone pair on nitrogen is donated to H⁺:

Worked reasoning: . Once formed, the bonding electron density is shared and the four N–H bonds are equivalent in the ion; the arrow describes the origin of the shared pair.

Exam-quality communication: Show the donor lone pair and acceptor with an empty orbital/positive ion; avoid saying H⁺ supplies electrons.

Precision audit
  • Name the observation, quantity, structure or variable before interpreting it.
  • Show the causal step or calculation route; do not jump from data to a conclusion.
  • State a limitation, condition or comparison whenever the evidence cannot justify an absolute claim.