Sigma & Pi Bonds (HL) (DP IB Chemistry): Revision Note

Caroline Carroll

Written by: Caroline Carroll

Reviewed by: Richard Boole

Updated on

Sigma & pi bonds

Bond overlap in covalent bonds

  • A single covalent bond forms when two non-metal atoms each contribute an unpaired electron

  • These unpaired electrons occupy atomic orbitals that overlap to form a molecular orbital

    • This molecular orbital contains a shared pair of electrons

    • The shape of the molecular orbital depends on the types of atomic orbitals involved

  • The greater the overlap, the stronger the covalent bond

  • There are two main types of covalent bond formed by orbital overlap:

    • Sigma (σ) bonds

    • Pi (π) bonds

What is a sigma bond?

  • Sigma (σ) bonds are formed by the head-on overlap of atomic orbitals

  • The electron density is concentrated along the bond axis

    • The bond axis is an imaginary line between the two nuclei

  • Sigma bonds:

    • Are the strongest type of covalent bond

    • Are always present in single covalent bonds

    • Are also found in double and triple bonds

      • In these cases, the sigma bond is accompanied by one or more pi (π) bonds

      • The sigma bond remains the strongest component of the multiple bond

  • Sigma bonds can form from:

    • s–s orbital overlap

    • s–p orbital overlap

    • p–p orbital overlap

Sigma bonds from s orbitals - hydrogen

  • Each hydrogen atom has a 1s orbital with one unpaired electron

  • The two 1s orbitals overlap directly to form a sigma (σ) bond

The 1s orbital of each hydrogen combine to form a sigma bond
Sigma bond formed by head-on overlap of 1s orbitals in a hydrogen molecule

Sigma bonds from an s and a p orbital - hydrogen fluoride

  • The 1s orbital of hydrogen overlaps with 2p orbital of fluorine

  • This head-on overlap forms a sigma (σ) bond

1 spherical s orbital and 1 dumbbell shaped p orbital overlap to form a molecular sigma orbital in hydrogen fluoride
Sigma bond in hydrogen fluoride formed from s–p orbital overlap

Sigma bonds from p orbitals - fluorine

  • Each fluorine atom has an unpaired electron in a p orbital

  • The p orbitals overlap head-on to form a sigma (σ) bond

2 dumbbell shaped p orbitals overlap to form a molecular sigma orbital in fluorine
Sigma bond in fluorine formed from p–p orbital overlap

What is a pi bond?

  • Pi (π) bonds form when adjacent p orbitals overlap sideways (laterally)

  • This creates electron density above and below the plane of the sigma (σ) bond

  • A single π bond is shown as two electron clouds

    • Each electron cloud comes from one lobe of the overlapping p orbitals

  • These clouds together contain two electrons shared between the atoms

  • The electron density lies on opposite sides of the bond axis

  • π bonds occur only in double and triple bonds

Pi bonds from p orbitals

2 p orbitals overlap sideways to form the molecular  pi orbital
Sideways overlap of p orbitals creates a π bond above and below the sigma bond axis

Examples of sigma & pi bonding in molecules

Methane

  • The carbon atom forms four sigma (σ) bonds with hydrogen atoms

  • These bonds are formed by the overlap of the hybrid orbitals on carbon with the 1s orbitals of hydrogen

  • Each bond involves a head-on overlap, creating a sigma bond

  • Methane contains only sigma bonds

Diagram illustrating carbon sp3 hybridisation with hydrogen 's' orbitals forming methane. Shows orbital overlap, tetrahedral structure, and sigma bond.
Each C–H sigma bond in methane forms by head-on overlap of a hydrogen 1s orbital and a carbon hybrid orbital.

Ethene

  • Sigma bonds in ethene:

  • Each carbon atom in ethene is hybridised

  • It forms three sigma (σ) bonds using three hybrid orbitals:

    • Two σ bonds are formed with the hydrogen atoms

    • One σ bond is formed with the other carbon atom

Diagram of an ethene molecule showing each carbon atom forming two sigma (σ) bonds with hydrogen atoms and one sigma bond with carbon atom. 
* This image shows only the σ bonds in ethene.
Each carbon atom forms two sigma (σ) bonds with hydrogen atoms and one sigma bond with carbon atom. This image shows only the σ bonds in ethene.
  • Pi bonds in ethene:

  • The fourth electron from each carbon atom occupies a p orbital

    • This overlaps sideways with another p orbital on the other carbon atom to form a π bond

p orbitals overlap laterally to form a molecular pi orbital
Overlap of the p orbitals results in the forming of a π bond in ethene
  • This creates a carbon-carbon double bond consisting of:

    • One σ bond

    • One π bond

Ethyne

  • Sigma bonds in ethyne:

  • Each carbon atom in ethyne is hybridised

  • It forms two sigma (σ) bonds using its two hybrid orbitals:

    • One σ bond is formed with a hydrogen atom

    • One σ bond is formed with the other carbon atom

Diagram of an ethyne molecule showing each carbon atom forming one sigma (σ) bonds with hydrogen atoms and one sigma bond with carbon atom. 
* This image shows only the σ bonds in ethyne.
Each carbon atom forms one sigma (σ) bond with hydrogen and one with the other carbon. This image shows only the σ bonds in ethyne.
  • Pi bonds in ethyne:

  • Each carbon atom has two unhybridised p orbitals

    • These overlap sideways with p orbitals on the other carbon atom

    • This forms two perpendicular π bonds

Diagram showing p orbitals on parallel carbon atoms forming π bonds, with hydrogen atoms attached, illustrating chemical bonding.
Sideways overlap of p orbitals forms two perpendicular π bonds in ethyne
  • This creates a carbon-carbon triple bond consisting of:

    • One σ bond

    • Two π bonds

Predicting the type of bonds

  • The number and type of sigma (σ) and pi (π) bonds can be deduced by analysing the bonding in a molecule

Worked Example

What types of covalent bonds are found in the following molecules?

  1. Nitrogen, N2

  2. Hydrogen cyanide, HCN

Answer 1:

  • Nitrogen, N2, contains a triple bond between the nitrogen atoms.

  • The triple bond consists of:

    • One σ bond formed by the head-on overlap of two hybrid orbitals

    • Two perpendicular π bonds formed by sideways overlap of two pairs of unhybridised p orbitals

Diagram showing two nitrogen atoms bonded with overlapping p orbitals, featuring sigma and pi bonds; blue and orange lobes represent orbitals.
  • Nitrogen, N2, has one sigma bond and two pi bonds

Answer 2: 

  • Hydrogen cyanide, HCN, contains:

    • A single covalent bond between carbon and hydrogen

    • A triple covalent bond between carbon and nitrogen

  • The single C-H bond is a σ bond

  • The triple Cidentical toN bond consists of:

    • One σ bond between carbon and nitrogen formed by the head-on overlap of two hybrid orbitals

    • Two perpendicular π bonds between carbon and nitrogen formed by sideways overlap of two sets of unhybridised p orbitals

Diagram showing sigma and pi bonding in hydrogen cyanide, with two sigma bonds and two pi bonds depicted by overlapping green lobes, each labelled.
  • Hydrogen cyanide, HCN, has two sigma bonds and two pi bonds

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Caroline Carroll

Author: Caroline Carroll

Expertise: Physics & Chemistry Subject Lead

Caroline graduated from the University of Nottingham with a degree in Chemistry and Molecular Physics. She spent several years working as an Industrial Chemist in the automotive industry before retraining to teach. Caroline has over 12 years of experience teaching GCSE and A-level chemistry and physics. She is passionate about creating high-quality resources to help students achieve their full potential.

Richard Boole

Reviewer: Richard Boole

Expertise: Chemistry Content Creator

Richard has taught Chemistry for over 15 years as well as working as a science tutor, examiner, content creator and author. He wasn’t the greatest at exams and only discovered how to revise in his final year at university. That knowledge made him want to help students learn how to revise, challenge them to think about what they actually know and hopefully succeed; so here he is, happily, at SME.