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Exceptions in Chemical Bonding: Important Examples and Their Reasons

Learn important exceptions in chemical bonding with clear explanations of BF₃, BeCl₂, PCl₅, SF₆, NO, NO₂ and O₂. Understand electron deficiency, odd-electron molecules, molecular orbital theory and phase-dependent structures for Class 11, Class 12, JEE and NEET.

October 31, 2026Yash Raj Pandey10 min read#Chemical Bonding#Inorganic Chemistry#JEE

Chemical bonding explains how atoms combine to form molecules and compounds. Concepts such as the octet rule, Lewis structures, VSEPR theory and molecular orbital theory help us understand the structures and properties of chemical substances.

However, not every molecule follows the same bonding pattern. Some compounds have incomplete octets, some contain an odd number of electrons, and others have expanded valence shells in their conventional Lewis structures.

These examples are important exceptions in chemical bonding. Understanding the reasons behind them is more useful than simply memorising their structures.

In this article, we will explore important chemical bonding exceptions, their molecular structures, magnetic behaviour and the concepts students should understand for Class 11, Class 12, JEE and NEET.

Do Check: Chemical Exceptions in Inorganic Chemistry

Why Do Exceptions Occur in Chemical Bonding?

The octet rule suggests that many atoms tend to achieve eight electrons in their valence shell while forming chemical bonds. However, it is a useful guideline rather than a universal rule.

Several molecules do not follow the octet rule because of their electron count, atomic size, bonding arrangements or overall electronic structure.

Important reasons include:

  • Incomplete octet: Some central atoms have fewer than eight electrons around them in a conventional Lewis structure.

  • Odd number of electrons: Molecules with an odd total number of valence electrons cannot give every atom a conventional paired-electron arrangement.

  • Expanded valence shell: Some molecules are represented with more than eight electrons around the central atom in conventional Lewis structures.

  • Molecular orbital arrangement: Molecular properties such as magnetic behaviour cannot always be explained correctly using Lewis structures alone.

  • Phase-dependent structure: The same compound may have different structures in the gaseous and condensed phases.

Let's understand these examples one by one.

BF₃: An Electron-Deficient Molecule

Boron trifluoride, BF₃, is an important example of an electron-deficient molecule.

Boron has three valence electrons, while each fluorine atom contributes one electron to form a B–F bond. In its conventional Lewis structure, boron forms three single covalent bonds with three fluorine atoms.

As a result, only six electrons are present around the boron atom.

This means boron does not complete its octet in the conventional Lewis structure.

Structure of BF₃

  • Central atom: Boron

  • Number of B–F bonds: Three

  • Molecular geometry: Trigonal planar

  • Bond angle: Approximately 120°

  • Shape: Planar

BF₃ is electron deficient and can accept an electron pair from a suitable Lewis base. Therefore, it behaves as a Lewis acid.

Does BF₃ Have Only Single Bond Character?

The bonding in BF₃ is more interesting than a simple Lewis structure suggests.

Fluorine can donate some electron density into the vacant p orbital associated with boron. This interaction is commonly described as pπ-pπ donation.

It gives the B–F bonds partial multiple-bond character. However, this does not mean that BF₃ contains three ordinary B=F double bonds.

Important point: BF₃ is electron deficient in its conventional Lewis structure, but its bonding also involves electron delocalisation.

Also Read: Exceptions in Periodic Properties

BeCl₂: Why Does Its Structure Depend on the Phase?

Beryllium chloride, BeCl₂, is an important example of a compound whose structure changes with its physical state.

Beryllium forms two covalent bonds with two chlorine atoms. In the simple molecular representation, the central beryllium atom has only four electrons around it.

This is an incomplete-octet arrangement.

Structure of gaseous BeCl₂

In the gaseous phase, BeCl₂ exists as a linear molecule.

  • Central atom: Beryllium

  • Number of Be–Cl bonds: Two

  • Molecular geometry: Linear

  • Bond angle: 180°

Structure of condensed BeCl₂

In condensed phases, BeCl₂ forms associated structures involving bridging chlorine atoms. Its structure is therefore not simply the same as that of an isolated linear gas-phase molecule.

This difference is important because molecular geometry depends on the physical state and bonding environment.

Important point: Always mention the phase when discussing the structure of BeCl₂.

NO and NO₂: Odd-Electron Molecules

Most familiar stable molecules contain an even number of electrons. However, some molecules have an odd total number of valence electrons.

Nitric oxide (NO) and nitrogen dioxide (NO₂) are important examples.

4.1 Nitric Oxide (NO)

Nitric oxide contains one nitrogen atom and one oxygen atom.

Valence electron count:

  • Nitrogen contributes five electrons.

Oxygen contributes six electrons.

  • Total valence electrons: Eleven.

  • Since NO has an odd number of valence electrons, it cannot be represented using only conventional paired-electron arrangements.

    It contains an unpaired electron and is paramagnetic.

    Key facts about NO:

    PropertyDescription
    Total valence electrons11
    Electron typeOdd-electron molecule
    Unpaired electronsOne
    Magnetic behaviourParamagnetic
    Bonding modelMolecular orbital theory helps explain its properties

    4.2 Nitrogen Dioxide (NO₂)

    Nitrogen dioxide contains one nitrogen atom and two oxygen atoms.

    Valence electron count:

    • Nitrogen contributes five electrons.

    • Two oxygen atoms contribute twelve electrons.

    • Total valence electrons: Seventeen.

    NO₂ also has an odd number of valence electrons.

    Therefore, it contains an unpaired electron and shows paramagnetic behaviour.

    NO₂ has a bent molecular geometry. Its bonding is better understood through electron delocalisation rather than treating it as a molecule with one fixed localised arrangement.

    Key facts about NO₂:

    PropertyDescription
    Total valence electrons17
    Electron typeOdd-electron molecule
    Unpaired electronsOne
    Magnetic behaviourParamagnetic
    Molecular geometryBent

    Remember: Both NO and NO₂ are paramagnetic because they contain unpaired electrons. Do not confuse odd-electron molecules with molecules that are necessarily unstable.

    Also Read to know: Electronic Configuration Exceptions

    PCl₅: Expanded Valence Shell and Phase-Dependent Structure

    Phosphorus pentachloride, PCl₅, is a standard example of a molecule represented with an expanded valence shell in its conventional Lewis structure.

    Phosphorus forms five P–Cl bonds with five chlorine atoms. This gives the central phosphorus atom ten electrons in the conventional Lewis representation.

    Structure of gaseous PCl₅

    In the gaseous phase, PCl₅ has a trigonal bipyramidal geometry.

    Its five chlorine atoms occupy two different positions:

    • Three equatorial positions

    • Two axial positions

    Important structural features:

    FeatureDescription
    Molecular geometryTrigonal bipyramidal
    Equatorial bondsThree
    Axial bondsTwo
    Equatorial bond angles120°
    Axial-equatorial bond angles90°
    Axial-axial bond angle180°

    The axial and equatorial positions are not equivalent. Axial bonds experience greater repulsive interactions in this geometry and are generally longer than equatorial bonds.

    Structure of solid PCl₅

    Solid PCl₅ is different from the isolated gaseous molecule.

    In the solid state, it is commonly represented as an ionic solid containing tetrahedral [PCl₄]⁺ cations and octahedral [PCl₆]⁻ anions.

    This is a useful example of why the physical state must be considered when discussing chemical structures.

    Modern explanation of hypervalent bonding

    Traditional explanations sometimes describe PCl₅ using the involvement of vacant d orbitals. This is an oversimplification.

    Modern bonding descriptions use molecular orbital theory and electron delocalisation to explain hypervalent bonding. The simple expanded-octet Lewis structure is a useful representation, but it should not be treated as a complete physical description of the bonding.

    SF₆: A Hypervalent Molecule

    Sulphur hexafluoride, SF₆, is another important example of a molecule represented with an expanded valence shell.

    Sulphur forms six S–F bonds with six fluorine atoms. In its conventional Lewis structure, twelve electrons are shown around the central sulphur atom.

    Structure of SF₆

    • Central atom: Sulphur

    • Number of S–F bonds: Six

    • Molecular geometry: Octahedral

    • Bond angles: 90° and 180°

    • Molecular shape: Octahedral

    All six fluorine atoms occupy equivalent positions around the central sulphur atom in the ideal octahedral structure.

    SF₆ is highly symmetrical. Its individual S–F bond dipoles cancel each other, making the molecule non-polar.

    Why is SF₆ important?

    SF₆ is a useful example for understanding:

    • Expanded valence shell representations

    • Hypervalent bonding

    • Octahedral molecular geometry

    • The difference between bond polarity and molecular polarity

    Important point: Do not explain SF₆ by claiming that sulphur simply uses six vacant d orbitals to form six bonds. Modern molecular orbital descriptions provide a more appropriate explanation.

    Also Read and Check: Exceptions in d-Block And f-Block Elements

    O₂: Why Is Oxygen Paramagnetic?

    Molecular oxygen, O₂, is one of the most important examples where molecular orbital theory gives a better explanation than a simple Lewis structure.

    Oxygen has six valence electrons. Therefore, an O₂ molecule contains twelve valence electrons.

    Its conventional Lewis structure shows a double bond between the two oxygen atoms. However, this structure does not correctly explain its paramagnetic behaviour.

    Magnetic behaviour of O₂

    According to molecular orbital theory, the two highest-energy electrons occupy separate degenerate antibonding π* orbitals.

    These electrons remain unpaired.

    As a result, oxygen is paramagnetic and is attracted towards a magnetic field.

    Important properties of O₂

    PropertyDescription
    Total valence electrons12
    Bond order2
    Unpaired electrons2
    Magnetic behaviourParamagnetic
    Bond typeDouble bond in the conventional Lewis representation

    Why is O₂ different from many other molecules?

    A common misconception is that molecules with an even number of electrons must be diamagnetic.

    This is incorrect.

    Magnetic behaviour depends on the arrangement of electrons in molecular orbitals, not simply on whether the total electron count is even or odd.

    Remember: O₂ is paramagnetic because it contains two unpaired electrons in its antibonding π* molecular orbitals.

    Also Check and Read: Chemical Exceptions in Coordination Chemistry

    O₂, O₂⁺, O₂⁻ and O₂²⁻: Bond Order and Magnetic Behaviour

    Molecular orbital theory also helps explain the differences between oxygen and its related ions.

    When an electron is removed from or added to an oxygen molecule, the electronic configuration changes. This affects its bond order and magnetic behaviour.

    SpeciesBond orderNumber of unpaired electronsMagnetic behaviour
    O₂22Paramagnetic
    O₂⁺2.51Paramagnetic
    O₂⁻1.51Paramagnetic
    O₂²⁻10Diamagnetic

    What does this comparison tell us?

    • Removing one electron from O₂ forms O₂⁺ and increases the bond order.

    • Adding one electron to O₂ forms O₂⁻ and decreases the bond order.

    • Adding two electrons forms O₂²⁻, which has no unpaired electrons and is diamagnetic.

    This comparison is particularly useful for understanding the relationship between molecular orbital occupancy, bond order and magnetic behaviour.

    N₂ and Heavier Group 15 Elements: Difference in Multiple Bonding

    Nitrogen forms a very stable N₂ molecule with a strong triple bond.

    The small atomic size of nitrogen allows effective sideways overlap of its p orbitals. This produces strong pπ-pπ bonding.

    Heavier Group 15 elements, such as phosphorus, generally show a greater tendency to form single bonds rather than stable multiple bonds of the same type.

    Their larger atomic size reduces the effectiveness of sideways p-orbital overlap.

    Why is N₂ different?

    • Nitrogen has a relatively small atomic size.

    • Its p orbitals can overlap effectively.

    • Strong multiple bonding is possible.

    • The N≡N bond gives nitrogen molecules high stability.

    In heavier Group 15 elements, effective sideways overlap between p orbitals is generally less favourable.

    Important point: Do not assume that every element in the same group forms equally strong multiple bonds. Atomic size and orbital overlap play important roles.

    Check: Chemical Exceptions in p-Block Elements

    Important Chemical Bonding Exceptions Quick Revision Table

    Molecule or speciesImportant exception or feature
    BF₃Electron deficient in its conventional Lewis structure
    BeCl₂Structure depends on physical state
    NOOdd-electron and paramagnetic
    NO₂Odd-electron and paramagnetic
    PCl₅Hypervalent representation; gas-phase trigonal bipyramidal structure
    Solid PCl₅Contains [PCl₄]⁺ and [PCl₆]⁻ ions
    SF₆Hypervalent representation; octahedral structure
    O₂Paramagnetic due to two unpaired electrons
    O₂⁺Bond order 2.5; paramagnetic
    O₂⁻Bond order 1.5; paramagnetic
    O₂²⁻Bond order 1; diamagnetic
    N₂Strong triple bond due to effective orbital overlap

    Important Concepts for JEE and NEET

    While preparing chemical bonding, focus on the reason behind each exception rather than memorising isolated facts.

    The following concepts are especially useful:

    1. Electron-deficient molecules: Understand why BF₃ has an incomplete octet in its conventional Lewis structure.

    2. Phase-dependent structures: Remember the difference between gaseous and solid PCl₅, and between gaseous and condensed BeCl₂.

    3. Odd-electron molecules: Practise counting valence electrons in NO and NO₂.

    4. Hypervalent compounds: Understand the conventional structures of PCl₅ and SF₆, along with the limitations of the simple d-orbital explanation.

    5. Molecular orbital theory: Learn how O₂ shows paramagnetism despite having an even number of electrons.

    6. Bond order: Practise comparing O₂, O₂⁺, O₂⁻ and O₂²⁻.

    7. Orbital overlap: Understand why nitrogen forms strong multiple bonds compared with heavier Group 15 elements.

    These concepts connect Lewis structures, VSEPR theory and molecular orbital theory. A clear understanding of their differences makes chemical bonding questions easier to approach.

    Conclusion

    Chemical bonding exceptions show that the octet rule and simple Lewis structures cannot explain every molecular property.

    BF₃ demonstrates electron deficiency, NO and NO₂ demonstrate odd-electron bonding, and PCl₅ and SF₆ illustrate hypervalent bonding representations. Oxygen provides an important example of how molecular orbital theory explains paramagnetism and bond order.

    For effective preparation, focus on electron counting, molecular geometry, orbital overlap, phase-dependent structures and magnetic behaviour. These concepts help build a stronger understanding of chemical bonding for Class 11, Class 12, JEE and NEET.

    FAQs About Exceptions in Chemical Bonding

    Why is BF₃ called an electron-deficient molecule?+

    BF₃ is called electron deficient because boron has only six electrons around it in its conventional Lewis structure. It can accept an electron pair from a suitable Lewis base and therefore behaves as a Lewis acid.

    Why does BeCl₂ have different structures in different physical states?+

    Gaseous BeCl₂ exists as a linear molecule. In condensed phases, it forms associated structures involving bridging chlorine atoms. Therefore, its structure depends on its physical state.

    Why are NO and NO₂ paramagnetic?+

    Both NO and NO₂ have an odd number of valence electrons. Each contains an unpaired electron, which makes the molecules paramagnetic.

    What is the shape of PCl₅?+

    Gaseous PCl₅ has a trigonal bipyramidal geometry, with three equatorial chlorine atoms and two axial chlorine atoms.

    Why is solid PCl₅ different from gaseous PCl₅?+

    Solid PCl₅ is commonly represented as an ionic solid containing [PCl₄]⁺ and [PCl₆]⁻ ions, whereas gaseous PCl₅ exists as trigonal bipyramidal molecules.

    Why is SF₆ non-polar?+

    SF₆ has an octahedral and symmetrical structure. The individual S–F bond dipoles cancel each other, so the molecule has no net dipole moment.

    Why is O₂ paramagnetic?+

    O₂ has two unpaired electrons in its degenerate antibonding π* molecular orbitals. These unpaired electrons make oxygen paramagnetic.

    What is the bond order of O₂⁺ and O₂⁻?+

    The bond order of O₂⁺ is 2.5, while the bond order of O₂⁻ is 1.5.

    Is O₂²⁻ paramagnetic or diamagnetic?+

    O₂²⁻ is diamagnetic because all its electrons are paired. Its bond order is 1.

    Why does nitrogen form a strong triple bond?+

    Nitrogen has a small atomic size, which allows effective overlap of its p orbitals. This results in strong pπ-pπ bonding and a stable N≡N triple bond.