Bond Energy Bond Length And Bond Polarity

Learn and apply Bond Energy Bond Length And Bond Polarity in the published Chemistry course sequence.

  • GCE A-Level H1 Chemistry 8873-2027
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Bond Energy, Bond Length and Bond Polarity: Orientation

When examiners ask “compare reactivity”, they often want you to talk about how easy it is to break a specific covalent bond. Three keywords do most of the work: bond energy, bond length, and bond polarity. Connect bond polarity to whole-particle behaviour in intermolecular forces and properties.

Definitions (Must Know)

A. Bond energy

The bond energy is the energy required to break one mole of a particular covalent bond in gaseous molecules (units: kJ mol⁻¹).

B. Bond length

The bond length is the distance between the nuclei of two bonded atoms (usually in pm).

C. Electronegativity

Electronegativity is the ability of an atom to attract the bonding pair of electrons in a covalent bond.

D. Bond polarity

A polar covalent bond is a covalent bond where electrons are shared unequally due to an electronegativity difference, giving partial charges δ⁺ and δ⁻.

E. Molecular polarity

A molecule is polar when its bond dipoles have a non-zero resultant. Both bond polarity and three-dimensional molecular shape must be considered.

Bond dipole in hydrogen chloride points from delta-positive hydrogen towards delta-negative chlorine; two carbon dioxide bond dipoles cancel, while three ammonia bond dipoles give a net molecular dipole
A polar bond does not guarantee a polar molecule: bond-dipole vectors cancel in symmetrical carbon dioxide but not in trigonal-pyramidal ammonia.

Detailed Explanations

More shared electron density between two nuclei usually means:

  • the bond is shorter (nuclei can sit closer),
  • the bond is stronger (more attraction),
  • the bond energy is higher.

Typical order for the same two atoms:

Bond typeBond lengthBond energy
singlelongestlowest
doubleshorterhigher
tripleshortesthighest

B. Why a longer bond is usually weaker

If the bonded atoms are further apart, the orbital overlap is less effective, so the attraction between the nuclei and the bonding electrons is weaker. Therefore less energy is needed to break the bond.

C. Bond polarity and “which end reacts”

If one atom is more electronegative, it pulls the bonding pair towards itself:

  • more electronegative atom becomes δ⁻
  • less electronegative atom becomes δ⁺

In many reactions (especially in organic chemistry), a nucleophile is attracted to a δ⁺ atom, and an electrophile is attracted to a δ⁻ / electron-rich region. So bond polarity can help you predict where a reagent attacks.

D. Deducing molecular polarity

Use this two-stage test:

  1. Decide whether the bonds are polar from electronegativity differences.
  2. Use the molecular shape to decide whether the bond-dipole vectors cancel.

Examples:

  • CO₂ is linear: the two equal C = O dipoles oppose and cancel, so the molecule is non-polar.
  • BF₃ is trigonal planar and symmetrical: the three B–F dipoles cancel, so the molecule is non-polar.
  • NH₃ is trigonal pyramidal: its N–H dipoles do not cancel, so the molecule is polar.
  • H₂O is bent: its O–H dipoles do not cancel, so the molecule is polar.

Worked Examples

Modelled example 1

Define Bond Length and Bond Energy

Core

Problem

State what is meant by (a) bond length and (b) bond energy.

Study the worked solution
  1. Define bond length

    Method

    State the measured separation between the two nuclei.

    Reason

    The definition concerns nuclear positions in a bonded pair, not atom size alone.

    Working

    Bond length: distance between the nuclei of two bonded atoms.
  2. Define bond energy

    Method

    Include energy, one mole, the specified covalent bond and gaseous molecules.

    Reason

    Each qualifier is part of the operational definition.

    Working

    Bond energy: energy required to break one mole of a particular covalent bond in gaseous molecules.

Guided practice 2

Compare Carbon Dioxide and Water Polarity

About 7 min

Problem

CO₂ and H₂O both contain polar bonds. Deduce the polarity of each molecule.

Try this before viewing the solution

Hints

Hint 1: name each shape
Carbon dioxide is linear; water is bent.
Hint 2: combine the dipoles
Ask whether the bond-dipole vectors cancel in each geometry.
View solution step by step
  1. Analyse carbon dioxide

    Method

    Place two equal C=O dipoles in opposite directions along a line.

    Reason

    The linear symmetrical geometry makes their vector sum zero.

    Working

    CO₂: dipoles cancel; molecule is non-polar.
  2. Analyse water

    Method

    Place the two O–H dipoles in a bent geometry.

    Reason

    The vectors are not opposite and therefore do not cancel.

    Working

    H₂O: non-zero resultant dipole; molecule is polar.

Common misconception 3

Correct a Carbon–Carbon Bond Comparison

Find and correct the mistake

Learner claim

Asked which is shorter and stronger, C-C or C = C, a learner says, “The double bond is longer because it contains more electron density between the atoms.” Identify the error and give the correct comparison.

Choose the correct comparison

Compared with C–C, C=C is

View solution step by step
  1. Correct the effect of bond order

    Method

    State that the double bond has more shared electron density and higher bond order.

    Reason

    This produces stronger attraction between the bonded nuclei and the shared electrons.

    Working

    Higher bond order → stronger bond.
  2. Correct the length

    Method

    State that the stronger attraction pulls the nuclei closer.

    Reason

    Greater bonding attraction reduces the equilibrium internuclear separation.

    Working

    C = C is shorter and stronger than C-C.

Examiner practice 4

Explain Iodoalkane Reactivity

3 marks

Problem

Explain why iodoalkanes generally react faster than chloroalkanes in reactions that involve breaking the C–X bond. [3 marks]

Try this before viewing the solution

View solution step by step
  1. Compare bond lengths

    1 mark

    Method

    State that C–I is longer than C–Cl.

    Reason

    Iodine is larger than chlorine, increasing internuclear separation.

    Working

    l(C-I) > l(C-Cl).
  2. Compare bond energies

    1 mark

    Method

    State that the longer C–I bond is weaker and has lower bond energy.

    Reason

    Poorer overlap at greater separation makes the bond easier to break.

    Working

    E(C-I) < E(C-Cl).
  3. Link to reaction rate

    1 mark

    Method

    Conclude that C–I breaks more readily.

    Reason

    The reactions in question require carbon–halogen bond breaking.

    Working

    Iodoalkanes generally react faster.

Challenge 5

Transfer Dipole Reasoning to BF₃ and NH₃

Minimal support

Problem

BF₃ and NH₃ each contain three polar bonds. BF₃ is trigonal planar and NH₃ is trigonal pyramidal. Deduce the molecular polarity of each and explain the difference.

Try this before viewing the solution

Hints

Hint 1: test the planar vectors
Three equal B–F dipoles are arranged symmetrically at 120°.
Hint 2: test the pyramidal vectors
The three N–H dipoles in a trigonal-pyramidal molecule do not lie in one cancelling plane.
View solution step by step
  1. Analyse boron trifluoride

    Method

    Use its symmetrical trigonal-planar shape.

    Reason

    The three equal B–F dipole vectors cancel to zero.

    Working

    BF₃ is non-polar.
  2. Analyse ammonia

    Method

    Use its trigonal-pyramidal shape.

    Reason

    The three N–H dipoles do not cancel in that geometry.

    Working

    NH₃ has a non-zero resultant dipole.
  3. State the comparison

    Method

    Contrast molecular symmetry rather than merely bond polarity.

    Reason

    Both contain polar bonds, but only the planar symmetrical set cancels.

    Working

    BF₃ is non-polar; NH₃ is polar.

Mind Stretchers

Mind stretcher 1Extension

HF has a very high boiling point compared to HCl, even though both are simple molecules. Explain this without confusing covalent bond energy with intermolecular forces.

Show Answer

Mark scheme:

  • Boiling separates molecules, so it overcomes intermolecular forces, not the H–F or H–Cl covalent bond inside each molecule.
  • HF forms hydrogen bonds (H attached to F and F has lone pairs), so intermolecular forces are much stronger → higher boiling point.
  • HCl does not form hydrogen bonds; its intermolecular forces are weaker → much lower boiling point.

Mind stretcher 2Extension

In HCl, identify which atom is δ⁺ and which is δ⁻. Then explain how this relates to bond polarity.

Show Answer

Mark scheme:

  • Cl is more electronegative than H, so the bonding pair is attracted towards Cl.
  • Therefore Cl is δ⁻ and H is δ⁺.
  • This charge separation is what is meant by a polar covalent bond.