Physical Chemistry The Chemical Bond

Molecular orbital theory

Topic overview

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In the linear combination of atomic orbitals (LCAO) approach, the number of molecular orbitals formed matches the number of atomic orbitals supplied, and each MO holds up to two electrons with opposite spins. Constructive overlap produces lower-energy bonding orbitals; destructive overlap produces higher-energy antibonding orbitals, while non-bonding orbitals retain atomic energy. Bond order is half the difference between bonding and antibonding electron counts, connecting orbital occupancy with bond stability and strength. Electron filling follows the Pauli exclusion principle and Hund’s rule. The lesson also introduces σ and π orbitals, symmetry labels, and s–p mixing in lighter diatomics. Examples such as H₂, He₂, and O₂ illustrate stability and magnetism; delocalized π orbitals help explain benzene’s equivalent C–C bonds.

Learning objectives

What you'll learn

  • Explain how atomic orbitals combine to form delocalized molecular orbitals.
  • Distinguish bonding, antibonding, and non-bonding orbitals by overlap and energy.
  • Calculate bond order from bonding and antibonding electron occupancy.
  • Apply electron-filling rules to interpret stability and magnetic behavior.
  • Describe how MO theory accounts for delocalization and selected molecular properties.
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