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Dispense sugli orbitali molecolari corso di chimica inorganica 1

Università degli Studi di Roma - La Sapienza chimica industriale 2018
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This document provides a qualitative introduction to molecular orbital theory for industrial chemistry students. It explains bonding and antibonding orbitals from atomic orbital combinations (LCAO). Key topics include sigma (σ) and pi (π) bonds, emphasizing their defining nodal plane characteristics. It details MO diagrams for H₂⁺, O₂, F₂, Ne₂, N₂, B₂, C₂, CO, and NO, highlighting s-p mixing effects on energy ordering and bond properties like paramagnetism. The text also covers d-orbital involvement in bonding and the impact of orbital overlap on bond stability and chemical reactivity (e.g., CO's metal complex formation via σ-donation and π-retrodonation).
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This document introduces qualitative molecular orbital theory, essential for understanding chemical bonding in inorganic chemistry:

  • H₂⁺ Ion (LCAO): Explains the formation of bonding (φ₁) and antibonding (φ₂) molecular orbitals from the linear combination of 1s atomic orbitals (Xa, Xb). Bonding results from concordant sign combination (Xa+Xb), leading to lower energy and increased electron density between nuclei. Antibonding results from discordant sign combination (Xa-Xb), creating a nodal plane perpendicular to the internuclear axis and higher energy.
  • Sigma (σ) Bonds:
    • Formed by head-on overlap of atomic orbitals (s-s, s-p, p-p along internuclear axis).
    • Characteristic: absence of nodal planes containing or intersecting the internuclear axis.
    • Bonding σ orbitals increase electron density between nuclei; antibonding σ* orbitals have a nodal plane between nuclei, destabilizing the bond.
  • Pi (π) Bonds:
    • Formed by sideways overlap of parallel p orbitals.
    • Characteristic: presence of a nodal plane containing the internuclear axis.
    • Bonding π orbitals increase electron density above and below the internuclear axis; antibonding π* orbitals have an additional nodal plane perpendicular to the internuclear axis, further destabilizing the bond.
  • Orbital Overlap and Stability: The energy difference between bonding and antibonding molecular orbitals is proportional to the extent of atomic orbital overlap (Sab integral). Greater overlap leads to stronger bonds.
  • D-Orbital Involvement: Discusses σ and π bond formation involving d orbitals, particularly in octahedral complexes. For example, dx²-y² and dz² participate in σ bonds, while dxy, dxz, dyz can participate in π bonds.
  • Molecular Orbital Diagrams (Diatomic Molecules):
    • O₂: 2s and 2px orbitals do not mix significantly due to large energy difference. Paramagnetic due to two unpaired electrons in degenerate π* orbitals (bond order = 2).
    • F₂ and Ne₂: Similar diagrams to O₂. F₂ has a single bond (bond order = 1), Ne₂ has no bond (bond order = 0).
    • N₂, B₂, C₂: Exhibit significant s-p mixing (hybridization of AOs) due to smaller energy differences between 2s and 2p orbitals. This alters the MO energy ordering, placing π orbitals below σ(2p) orbitals.
      • N₂: Bond order = 3 (triple bond), consistent with high dissociation energy.
      • B₂: Paramagnetic due to two unpaired electrons in degenerate 1π orbitals (bond order = 1, reinterpreted based on experimental data).
      • C₂: Diamagnetic (bond order = 2, reinterpreted based on experimental data, likely two π bonds).
    • CO and NO (Heteronuclear): AO energies differ between atoms. Explains CO's ability to form metal complexes via σ-donation from the HOMO (5σ*) and π-retrodonation to the LUMO (2π*). NO exhibits similar behavior.

This comprehensive overview helps understand bond types, molecular properties, and chemical reactivity based on molecular orbital theory.

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