🥼Organic Chemistry Unit 30 – Organic Chemistry: Pericyclic Reactions

Pericyclic reactions are a fascinating class of organic transformations that involve the concerted rearrangement of electrons in cyclic transition states. These reactions, including electrocyclic processes, cycloadditions, and sigmatropic rearrangements, are governed by orbital symmetry and follow specific stereochemical rules. Understanding pericyclic reactions is crucial for organic chemists, as they provide powerful tools for synthesizing complex molecules. The Woodward-Hoffmann rules offer a framework for predicting reaction outcomes, while molecular orbital theory explains the underlying principles that drive these elegant transformations.

Key Concepts and Definitions

  • Pericyclic reactions involve concerted bond breaking and bond forming processes that occur in a cyclic transition state
  • Characterized by the reorganization of bonding electrons in a concerted manner, meaning all bond breaking and forming occurs simultaneously
  • Typically involve the formation or breaking of σ (sigma) and π (pi) bonds
  • Reactions are governed by orbital symmetry and follow the principle of conservation of orbital symmetry
  • Key types include electrocyclic reactions, cycloaddition reactions, and sigmatropic rearrangements
  • Stereochemistry of the products is determined by the topology of the highest occupied molecular orbital (HOMO) and lowest unoccupied molecular orbital (LUMO)
  • Woodward-Hoffmann rules provide a framework for predicting the stereochemical outcome and thermal/photochemical conditions required for pericyclic reactions

Types of Pericyclic Reactions

  • Electrocyclic reactions involve the formation or breaking of a single σ bond between the termini of a conjugated π system (butadiene)
    • Can occur through conrotatory or disrotatory motion of the termini
  • Cycloaddition reactions involve the formation of two new σ bonds between two unsaturated molecules (diene and dienophile)
    • Examples include Diels-Alder reaction and 1,3-dipolar cycloaddition
  • Sigmatropic rearrangements involve the migration of a σ bond with simultaneous rearrangement of the π system
    • Characterized by the order [i,j], where i and j indicate the number of atoms between the migrating groups in the reactant and product, respectively (Cope rearrangement)
  • Cheletropic reactions involve the extrusion or addition of small molecules (SO2, CO2) with the formation or breaking of two σ bonds
  • Group transfer reactions involve the transfer of a group (hydrogen, alkyl) from one molecule to another through a cyclic transition state (ene reaction)

Molecular Orbital Theory Basics

  • Pericyclic reactions can be explained using molecular orbital theory, which describes the behavior of electrons in molecules
  • Molecular orbitals are formed by the linear combination of atomic orbitals (LCAO) and can be classified as bonding, antibonding, or nonbonding
  • The highest occupied molecular orbital (HOMO) and lowest unoccupied molecular orbital (LUMO) play a crucial role in determining the reactivity and stereochemical outcome of pericyclic reactions
  • The symmetry of the HOMO and LUMO determines whether a pericyclic reaction is thermally or photochemically allowed
    • Thermal reactions occur through the ground state and require a bonding interaction between the HOMO and LUMO
    • Photochemical reactions occur through an excited state and require an antibonding interaction between the HOMO and LUMO
  • The phase of the molecular orbitals (constructive or destructive interference) determines the stereochemistry of the products (suprafacial or antarafacial)

Woodward-Hoffmann Rules

  • Developed by Robert B. Woodward and Roald Hoffmann to predict the stereochemical outcome and thermal/photochemical conditions of pericyclic reactions
  • Based on the conservation of orbital symmetry, which states that the symmetry of the HOMO and LUMO must be maintained throughout the reaction
  • For thermal reactions, the total number of (4q+2) suprafacial and (4r) antarafacial components must be odd
    • q and r are integers (0, 1, 2, etc.)
  • For photochemical reactions, the total number of (4q+2) suprafacial and (4r) antarafacial components must be even
  • The rules can be applied to electrocyclic reactions, cycloaddition reactions, and sigmatropic rearrangements
    • In electrocyclic reactions, the rules predict the direction of ring opening or closing (conrotatory or disrotatory)
    • In cycloaddition reactions, the rules predict the orientation of the components (suprafacial or antarafacial) and the allowed number of electrons (4n+2 or 4n)
    • In sigmatropic rearrangements, the rules predict the stereochemistry of the migrating group (suprafacial or antarafacial) and the allowed order [i,j]

Electrocyclic Reactions

  • Involve the formation or breaking of a single σ bond between the termini of a conjugated π system
  • Can occur through a conrotatory or disrotatory motion of the termini, depending on the number of electrons in the system and the thermal/photochemical conditions
    • Conrotatory motion occurs when the termini rotate in the same direction (clockwise or counterclockwise)
    • Disrotatory motion occurs when the termini rotate in opposite directions
  • Thermally allowed reactions with (4n) electrons occur through a conrotatory process, while those with (4n+2) electrons occur through a disrotatory process
  • Photochemically allowed reactions follow the opposite trend: (4n) electrons through a disrotatory process and (4n+2) electrons through a conrotatory process
  • Examples include the electrocyclic ring opening of cyclobutene and the electrocyclic ring closing of 1,3,5-hexatriene
  • The stereochemistry of the products depends on the mode of ring opening or closing (conrotatory or disrotatory) and the substitution pattern of the reactant

Cycloaddition Reactions

  • Involve the formation of two new σ bonds between two unsaturated molecules, typically a diene and a dienophile
  • Most common example is the Diels-Alder reaction, a [4+2] cycloaddition between a conjugated diene and an alkene (dienophile)
    • Occurs through a concerted, suprafacial-suprafacial interaction of the HOMO of the diene and the LUMO of the dienophile
    • Thermally allowed and follows the (4n+2) electron rule
    • Stereochemistry of the product is determined by the substituents on the diene and dienophile (endo or exo)
  • Other examples include 1,3-dipolar cycloadditions, [2+2] cycloadditions, and hetero-Diels-Alder reactions
  • Cycloaddition reactions can be intramolecular or intermolecular
  • Photochemical cycloadditions, such as the [2+2] cycloaddition of alkenes, follow different stereochemical rules than thermal cycloadditions

Sigmatropic Rearrangements

  • Involve the migration of a σ bond with simultaneous rearrangement of the π system
  • Characterized by the order [i,j], where i and j indicate the number of atoms between the migrating groups in the reactant and product, respectively
  • Most common examples are the [3,3] Cope rearrangement and the [1,5] hydrogen shift
    • Cope rearrangement involves the concerted migration of a 1,5-diene system through a chair-like transition state
    • [1,5] hydrogen shift occurs in conjugated polyene systems and involves the suprafacial migration of a hydrogen atom
  • Sigmatropic rearrangements can be thermally or photochemically allowed, depending on the number of electrons and the order [i,j]
    • Thermally allowed rearrangements have an aromatic transition state with (4n+2) electrons and follow the Hückel rule
    • Photochemically allowed rearrangements have an antiaromatic transition state with (4n) electrons and follow the Möbius rule
  • The stereochemistry of the products depends on the suprafacial or antarafacial nature of the migrating group and the topology of the transition state

Applications in Organic Synthesis

  • Pericyclic reactions are powerful tools for the construction of complex molecular frameworks in organic synthesis
  • Diels-Alder reactions are widely used for the synthesis of six-membered rings with precise stereochemical control
    • Intramolecular Diels-Alder reactions (IMDA) allow for the formation of polycyclic systems in a single step
    • Asymmetric Diels-Alder reactions, using chiral catalysts or auxiliaries, enable the enantioselective synthesis of chiral products
  • Electrocyclic reactions can be employed for the synthesis of cyclic compounds with specific stereochemistry
    • Example: the synthesis of vitamin D3 involves an electrocyclic ring opening of a triene precursor
  • Sigmatropic rearrangements are useful for the isomerization of unsaturated systems and the introduction of functional groups
    • Claisen rearrangement, a [3,3]-sigmatropic rearrangement of allyl vinyl ethers, is used for the synthesis of γ,δ-unsaturated carbonyl compounds
    • [2,3]-Wittig rearrangement of allylic ethers provides access to homoallylic alcohols
  • Pericyclic reactions can be combined with other synthetic methods (organometallic chemistry, heterocyclic chemistry) to access complex natural products and bioactive compounds
  • Computational tools and quantum chemical calculations aid in the design and optimization of pericyclic reactions in organic synthesis


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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.