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In organic chemistry, a cycloaddition is a chemical reaction in which "two or more unsaturated molecules (or parts of the same molecule) combine with the formation of a cyclic adduct in which there is a net reduction of the bond multiplicity". The resulting reaction is a cyclization reaction. Many but not all cycloadditions are concerted and thus pericyclic. Nonconcerted cycloadditions are not pericyclic. As a class of addition reaction, cycloadditions permit carbon–carbon bond formation without the use of a nucleophile or electrophile. Cycloadditions can be described using two systems of notation. An older but still common notation is based on the size of linear arrangements of atoms in the reactants. It uses parentheses: where the variables are the numbers of linear atoms in each reactant. The product is a cycle of size . In this system, the standard Diels-Alder reaction is a (4 + 2)-cycloaddition, the 1,3-dipolar cycloaddition is a (3 + 2)-cycloaddition and cyclopropanation of a carbene with an alkene a (2 + 1)-cycloaddition. A more recent, IUPAC-preferred notation, first introduced by Woodward and Hoffmann, uses
square brackets A bracket is either of two tall fore- or back-facing punctuation marks commonly used to isolate a segment of text or data from its surroundings. Typically deployed in symmetric pairs, an individual bracket may be identified as a 'left' or 'r ...
to indicate the number of ''electrons'', rather than carbon atoms, involved in the formation of the product. In the 'i'' + ''j'' + ...notation, the standard Diels-Alder reaction is a + 2cycloaddition, while the 1,3-dipolar cycloaddition is also a + 2cycloaddition.


Thermal cycloadditions and their stereochemistry

Thermal cycloadditions are those cycloadditions where the reactants are in the ground electronic state. They usually have (4''n'' + 2) π electrons participating in the starting material, for some integer ''n''. These reactions occur for reasons of orbital symmetry in a suprafacial-suprafacial (''syn''/''syn'' stereochemistry) in most cases. Very few examples of antarafacial-antarafacial (''anti''/''anti'' stereochemistry) reactions have also been reported. There are a few examples of thermal cycloadditions which have 4''n'' π electrons (for example the + 2cycloaddition). These proceed in a suprafacial-antarafacial sense (''syn''/''anti'' stereochemistry), such as the cycloaddition reactions of ketene and allene derivatives, in which the orthogonal set of
p orbital In atomic theory and quantum mechanics, an atomic orbital is a function describing the location and wave-like behavior of an electron in an atom. This function can be used to calculate the probability of finding any electron of an atom in any ...
s allows the reaction to proceed via a crossed transition state, although the analysis of these reactions as sub>π2s + π2ais controversial. Strained alkenes like ''trans''-cycloheptene derivatives have also been reported to react in an antarafacial manner in + 2cycloaddition reactions. Doering (in a personal communication to Woodward) discovered that heptafulvalene and tetracyanoethylene can react in a suprafacial-antarafacial 4 + 2cycloaddition. This result was later confirmed and extended by Erden and Kaufmann, who reported the suprafacial-antarafacial cycloaddition of heptafulvalene with ''N''-phenyltriazolinedione.


Photochemical cycloadditions and their stereochemistry

Cycloadditions in which 4n π electrons participate can also occur via photochemical activation. Here, one component has an electron promoted from the HOMO (π bonding) to the LUMO (π*
antibonding In chemical bonding theory, an antibonding orbital is a type of molecular orbital that weakens the chemical bond between two atoms and helps to raise the energy of the molecule relative to the separated atoms. Such an orbital has one or more no ...
). Orbital symmetry is then such that the reaction can proceed in a suprafacial-suprafacial manner. An example is the
DeMayo reaction The DeMayo reaction is a photochemical reaction in which the enol of a 1,3-diketone reacts with an alkene (or another species with a C=C bond) and the resulting cyclobutane Cyclobutane is a cycloalkane and organic compound with the formula (C ...
. Another example is shown below, the photochemical dimerization of cinnamic acid. The two ''trans''
alkene In organic chemistry, an alkene is a hydrocarbon containing a carbon–carbon double bond. Alkene is often used as synonym of olefin, that is, any hydrocarbon containing one or more double bonds.H. Stephen Stoker (2015): General, Organic ...
s react head-to-tail, and the isolated isomers are called '' truxillic acids''. : Supramolecular effects can influence these cycloadditions. The cycloaddition of ''trans''-1,2-bis(4-pyridyl)ethene is directed by
resorcinol Resorcinol (or resorcin) is an organic compound with the formula C6H4(OH)2. It is one of three isomeric benzenediols, the 1,3-isomer (or '' meta''-isomer). Resorcinol crystallizes from benzene as colorless needles that are readily soluble in ...
in the
solid-state Solid state, or solid matter, is one of the four fundamental states of matter. Solid state may also refer to: Electronics * Solid-state electronics, circuits built of solid materials * Solid state ionics, study of ionic conductors and their ...
in 100% yield. Some cycloadditions instead of π bonds operate through strained cyclopropane rings, as these have significant π character. For example, an analog for the Diels-Alder reaction is the quadricyclane- DMAD reaction: In the (i+j+...) cycloaddition notation i and j refer to the number of atoms involved in the cycloaddition. In this notation, a Diels-Alder reaction is a (4+2)cycloaddition and a 1,3-dipolar addition such as the first step in ozonolysis is a (3+2)cycloaddition. The
IUPAC The International Union of Pure and Applied Chemistry (IUPAC ) is an international federation of National Adhering Organizations working for the advancement of the chemical sciences, especially by developing nomenclature and terminology. It is ...
preferred notation however, with +j+...takes electrons into account and not atoms. In this notation, the DA reaction and the dipolar reaction both become a +2ycloaddition. The reaction between norbornadiene and an activated alkyne is a +2+2ycloaddition.


Types of cycloaddition


Diels-Alder reactions

The Diels-Alder reaction is perhaps the most important and commonly taught cycloaddition reaction. Formally it is a +2cycloaddition reaction and exists in a huge range of forms, including the
inverse electron-demand Diels–Alder reaction The inverse electron demand Diels–Alder reaction, or DAINV or IEDDA is an organic chemical reaction, in which two new chemical bonds and a six-membered ring are formed. It is related to the Diels–Alder reaction, but unlike the Diels–Alder ( ...
, Hexadehydro Diels-Alder reaction and the related
alkyne trimerisation In organic chemistry, an alkyne trimerisation is a +2+2nbsp; cycloaddition reaction in which three alkyne units () react to form a benzene ring. The reaction requires a metal catalyst. The process is of historic interest as well as being applica ...
. The reaction can also be run in reverse in the
retro-Diels–Alder reaction The retro-Diels–Alder reaction (rDA reaction) is the reverse of the Diels–Alder (DA) reaction, a +2cycloelimination. It involves the formation of a diene and dienophile from a cyclohexene. It can be accomplished spontaneously with heat, or wi ...
. : Reactions involving heteroatoms are known; including the aza-Diels–Alder and Imine Diels–Alder reaction.


Huisgen cycloadditions

The Huisgen cycloaddition reaction is a (2+3)cycloaddition. :


Nitrone-olefin cycloaddition

The Nitrone-olefin cycloaddition is a (3+2)cycloaddition. :


Cheletropic reactions

Cheletropic reactions are a subclass of cycloadditions. The key distinguishing feature of cheletropic reactions is that on one of the reagents, both new bonds are being made to the same atom. The classic example is the reaction of sulfur dioxide with a
diene In organic chemistry a diene ( ) (diolefin ( ) or alkadiene) is a covalent compound that contains two double bonds, usually among carbon atoms. They thus contain two alk''ene'' units, with the standard prefix ''di'' of systematic nomenclature. ...
. :


Other

Other cycloaddition reactions exist: +3cycloadditions, +4cycloadditions, + 2photocycloadditions, metal-centered cycloaddition and +4photocycloadditions


Formal cycloadditions

Cycloadditions often have metal-catalyzed and stepwise radical analogs, however these are not strictly speaking pericyclic reactions. When in a cycloaddition charged or radical intermediates are involved or when the cycloaddition result is obtained in a series of reaction steps they are sometimes called formal cycloadditions to make the distinction with true pericyclic cycloadditions. One example of a formal +3ycloaddition between a cyclic enone and an enamine catalyzed by ''n''-butyllithium is a Stork enamine / 1,2-addition cascade reaction:


Iron-catalyzed 2+2 olefin cycloaddition

Iron Diiminopyridine catalysts contain a redox active ligand in which the central iron atom can coordinate with two simple, unfunctionalized olefin double bonds. The catalyst can be written as a resonance between a structure containing unpaired electrons with the central iron atom in the II oxidation state, and one in which the iron is in the 0 oxidation state. This gives it the flexibility to engage in binding the double bonds as they undergo a cyclization reaction, generating a cyclobutane structure via C-C reductive elimination; alternatively a cyclobutene structure may be produced by beta-hydrogen elimination. Efficiency of the reaction varies substantially depending on the alkenes used, but rational ligand design may permit expansion of the range of reactions that can be catalyzed.


References

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