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IB DP Chemistry SL Study Notes

2.2.11 Resonance and Delocalisation in Covalent Bonding

The study of molecular structure reveals fascinating intricacies. Delving deeper into the High-Level topic of resonance and delocalisation in covalent bonding unveils the intriguing ways atoms and electrons can interact, influencing molecular properties and stability.

Concept of Resonance and its Implications

Resonance is a phenomenon wherein certain molecules can't be aptly described by a single Lewis structure. Instead, they're represented as an amalgamation of multiple contributing structures.

  • Nature of Resonance Structures:
    • These are individual, hypothetical Lewis structures that depict potential electron arrangements.
    • Not true representations of the molecule's structure but help visualise electron delocalisation.
  • Delocalised Electrons:
    • Electrons that are spread over several atoms or a region of the molecule.
    • Enhance molecular stability by dispersing charge over a larger area.
  • Implications:
    • Resonance stabilises molecules. The true structure is a blend, lowering the molecule's potential energy.
    • Molecules that exhibit resonance generally have enhanced stability compared to those that don't.
A diagram showing different examples of resonance.

Image courtesy of Alhadis

Benzene's Structure and Resonance

Benzene (C6H6) is a classic example of resonance.

  • Traditional Depiction:
    • Often shown with alternating single and double bonds.
    • In reality, all carbon-carbon bonds in benzene are identical.
  • Resonance Structures:
    • Benzene has two main resonance forms, each depicting alternating double bonds.
    • True structure is a hybrid: equal bond lengths and delocalised π electrons.
  • Chemical Behaviour:
    • Unlike alkenes, benzene doesn't readily undergo addition reactions due to its stability.
    • Typically undergoes substitution reactions, maintaining its delocalised electron system.
Diagram of Benzene's Structure and Resonance.

Image courtesy of Dissolution

Molecules with Expanded Octets

While the octet rule is a useful guideline, some molecules possess central atoms exceeding eight electrons, especially those from the third period onward.

  • Reasoning:
    • Atoms like phosphorus or sulfur have d-orbitals available for bonding, allowing more than four covalent bonds.
  • Examples:
    • Phosphorus pentachloride (PCl5): Phosphorus is central, bonded to five chlorine atoms.
Chemical structure of Phosphorus pentachloride (PCl5).

Image courtesy of Andel Früh

  • Sulfur hexafluoride (SF6): Sulfur is central, bonded to six fluorine atoms.
Chemical structure of Sulfur hexafluoride (SF6).

Image courtesy of Benjah-bmm27

Utilisation of Formal Charge in Lewis Structures

Formal charge is a valuable tool in determining the most probable Lewis structure among potential contributors.

  • Formal Charge Calculation:
    • Formal charge = (Valence electrons of atom) - (non-bonding electrons) - (1/2 x bonding electrons)
  • Guidelines:
    • Structures with formal charges closest to zero are generally more stable.
    • Structures where like charges are adjacent (e.g., two positives together) are less stable.
    • Negative formal charges are preferably on more electronegative atoms.
  • Significance:
    • Helps to distinguish between multiple valid Lewis structures.
    • Aids in predicting molecular reactivity and properties based on charge distribution.

In summary, understanding resonance, delocalisation, expanded octets, and the utility of formal charges offers deep insights into the complexities of covalent bonding, aiding in the interpretation and prediction of molecular behaviours.

FAQ

Molecules with expanded octets have central atoms that accommodate more than the usual eight electrons. These molecules involve elements, usually from Period 3 and beyond, with available d orbitals that can participate in bonding. Typical octet-rule obeying molecules are restricted to eight electrons around an atom, but expanded octets can have 10, 12, or even 14 electrons. For example, sulfur hexafluoride (SF₆) features sulfur with 12 electrons around it. These expanded octets often allow for a richer diversity of molecular geometries and can sometimes lead to unexpected properties or reactivities.

No, resonance structures are not actual physical forms of the molecule. Instead, they are hypothetical constructs used to represent the distribution of electron density in molecules that can't be depicted adequately by a single Lewis structure. The true structure of the molecule is a resonance hybrid, a blend of all its resonance structures. It's essential to understand that the molecule doesn't flip or oscillate between these forms; rather, the real structure is a stable average of the resonance contributors.

Considering formal charge while drawing Lewis structures ensures that the most plausible electron distribution is represented. By distributing electrons in a way that minimises formal charges, and by placing any negative formal charges on more electronegative atoms, Lewis structures can more accurately reflect a molecule's electron distribution and potential reactivity. Furthermore, by aiming for structures where formal charges are closest to zero, chemists can best predict the molecule's behaviour, as charge separation generally leads to a less stable structure. Essentially, formal charge acts as a tool for validating and refining the accuracy of Lewis structures.

Resonance provides additional stability to a molecule by spreading out and delocalising electron density over multiple atoms or bonds, rather than localising it between two specific atoms. When electrons are delocalised, the energy of the molecule is lowered, making it more stable. For instance, the resonance-stabilised benzene is much less reactive than expected for a compound with three double bonds because its electrons are spread out over the whole ring. Resonance structures represent possible distributions of electron density, and the true structure is a blend of these, offering an energy state lower than any single contributing structure.

Benzene is a unique molecule where its observed structure doesn't align with a single Lewis structure. If one were to draw benzene using only alternating double and single bonds, it would imply that there are two distinct bond lengths and that benzene behaves like typical alkenes. However, experimental data shows that all carbon-carbon bonds in benzene are of equal length, which is intermediate between single and double bonds. This discrepancy suggests that the electrons in the double bonds are delocalised across the whole molecule, rather than localised between two specific carbon atoms. Therefore, a single Lewis structure is insufficient to capture this delocalisation.

Practice Questions

Explain the concept of resonance using benzene as an example, and discuss its implications for the chemical behaviour of benzene compared to typical alkenes.

Resonance refers to the phenomenon where a molecule cannot be described accurately by a single Lewis structure but rather as a blend of multiple structures. For benzene, traditionally depicted with alternating double and single bonds, resonance is evident through its two main structures where the double bonds alternate positions. However, the true structure of benzene is a hybrid of these forms, leading to equal bond lengths and delocalised π electrons. Unlike typical alkenes, benzene's resonance-stabilised structure means it doesn't readily undergo addition reactions. Instead, due to its enhanced stability, benzene typically participates in substitution reactions, preserving its delocalised electron system.

Describe the significance of using formal charge when determining the most probable Lewis structure for a molecule. Provide guidelines for utilising formal charge.

The formal charge is a crucial tool in identifying the most probable Lewis structure among potential structures. It calculates the hypothetical charge an atom would have if bonding electrons were shared equally, helping to distinguish between multiple valid Lewis structures. To determine formal charge, one uses the formula: (Valence electrons of atom) - (non-bonding electrons) - (1/2 x bonding electrons). Guidelines for using formal charge include: structures with formal charges closest to zero are typically more stable; like charges adjacent to each other, such as two positive charges, decrease stability; and negative formal charges should ideally be on more electronegative atoms. Utilising formal charge aids in predicting molecular reactivity and properties based on charge distribution.

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