"Cracking
the Woodward-Hoffmann Rules for Sigmatropic Rearrangements"
Woodward-Hoffmann rules are a set of
theoretical principles that describe the stereoselectivity
and regioselectivity of pericyclic
reactions, including sigmatropic rearrangements. Sigmatropic rearrangements are
a type of pericyclic reaction where a σ bond is rearranged between two atoms in
a molecule, resulting in a new σ bond and a
rearranged molecular structure.
Understanding the Woodward-Hoffmann
rules is crucial for predicting and rationalizing the outcomes of sigmatropic
rearrangements, which have numerous applications in
organic synthesis and natural product chemistry.
In this article, we will discuss the Woodward-Hoffmann rules and their
relevance to sigmatropic rearrangements.
The Woodward-Hoffmann rules were
developed independently by Robert Burns Woodward and
Roald Hoffmann in the 1960s.
These rules are based on the principles of orbital
symmetry and conservation of orbital symmetry during
chemical reactions. According to the Woodward-Hoffmann rules, the
stereochemistry and regiochemistry of pericyclic reactions are determined by
the overlap of the orbitals involved in the
reaction.
The Woodward-Hoffmann rules consist of four basic principles, which are as follows:
The
Conservation of Orbital Symmetry:
This principle states that the symmetry of the orbitals involved in a pericyclic
reaction must be conserved. This means that
orbitals with the same symmetry will overlap and interact, while orbitals with different
symmetry will not interact.
The
Frontier Orbital Principle:
This principle states that the reaction
will proceed through the highest occupied molecular
orbital (HOMO) and the lowest unoccupied
molecular orbital (LUMO) involved in the reaction. The HOMO of the reactant becomes the LUMO of the product, and vice versa.
The
Even-Electron Rule:
This principle states that pericyclic
reactions involving an even number of electrons are
allowed, while reactions involving an odd number of electrons are not forbidden.
The
Correlation Diagram:
This principle is used to determine the stereochemistry and regiochemistry of the reaction by plotting the relative energies of the HOMO and LUMO
orbitals involved in the reaction.
Keep in mind
- A thermal (ground state) sigmatropic rearrangement is symmetry allowed when total number of (4q + 2)s component and (4r)a component is odd.
- A sigmatropic change in the first excited state is symmetry allowed when total number of (4q + 2)s and (4r)a component is even.
Case # 1. Woodword-Hoffmann rules for (m, n)
Sigmatropic rearrangements where migrating group is not hydrogen
- Draw
the mechanism for the reaction.
- Choose the components. Only the bonds
taking part in the reaction mechanism must be included.
- Make
a three-dimensional drawing of the way the
components come together for the reaction, putting
orbitals at the ends of the
components.
- Join
up the components where new bonds are to be
formed. Make sure you join orbitals that are going to form new bonds.
- Label each component s or a. See below for the π and σ bond symmetries.
Whether π component is s or a
If both upper
lobes and both lower lobes of the π
component are involved in the reaction then the component will be s and it is label as π2s.
If one upper lobe and other
lower lobe of the π component are involved in the reaction then the
component will be a and it is label as π2a.
Whether σ component is s or a
When sp3-hybrid orbital
uses its large lobe for reaction then there will
be retention or the small
lobe then there will be inversion.
When there is retention
at both ends or inversion at both ends then
σ component is σ2s. If there
is retention at one end and
inversion at other end then
σ component is σ2a.
When applied to sigmatropic
rearrangements, the Woodward-Hoffmann rules can be used to predict the
stereochemistry and regiochemistry of the reaction. For example, in a [3,3]
sigmatropic rearrangement, the Woodward-Hoffmann rules predict that the reaction
will proceed through a concerted mechanism, with
the HOMO of the reactant interacting with the LUMO of the product. The correlation diagram can be used to determine whether
the reaction will result in a syn or anti stereoisomer,
and whether the reaction will proceed through a suprafacial
or antarafacial pathway.
Here are the clear examples of Suprafacial and Antarafacial
rearrangements along with the hydrogen migratory
group and carbon migratory group.
Conclusion:
In
conclusion, the Woodward-Hoffmann rules are a powerful tool for predicting and rationalizing
the stereochemistry and regiochemistry
of pericyclic reactions, including sigmatropic rearrangements. By understanding
these principles, chemists can design more efficient and
selective synthetic routes, and gain a deeper
understanding of the fundamental principles that
govern chemical reactivity.