
Stable and persistent phosphorus radicals are phosphorus-centred
radicals that are isolable and can exist for at least short periods of time.
Radicals consisting of
main group elements are often very reactive and undergo uncontrollable reactions, notably
dimerization and
polymerization
In polymer chemistry, polymerization (American English), or polymerisation (British English), is a process of reacting monomer molecules together in a chemical reaction to form polymer chains or three-dimensional networks. There are many fo ...
.
The common strategies for stabilising these phosphorus radicals usually include the
delocalisation
In chemistry, delocalized electrons are electrons in a molecule, ion or solid metal that are not associated with a single atom or a covalent bond.IUPAC Gold Boo''delocalization''/ref>
The term delocalization is general and can have slightly di ...
of the unpaired electron over a
pi system
In mathematics, a -system (or pi-system) on a set \Omega is a collection P of certain subsets of \Omega, such that
* P is non-empty.
* If A, B \in P then A \cap B \in P.
That is, P is a non-empty family of subsets of \Omega that is closed u ...
or nearby
electronegative
Electronegativity, symbolized as , is the tendency for an atom of a given chemical element to attract shared electrons (or electron density) when forming a chemical bond. An atom's electronegativity is affected by both its atomic number and the d ...
atoms, and kinetic stabilisation with
bulky ligands. Stable and persistent phosphorus radicals can be classified into three categories: neutral,
cationic
An ion () is an atom or molecule with a net electrical charge.
The charge of an electron is considered to be negative by convention and this charge is equal and opposite to the charge of a proton, which is considered to be positive by conve ...
, and
anionic
An ion () is an atom or molecule with a net electrical charge.
The charge of an electron is considered to be negative by convention and this charge is equal and opposite to the charge of a proton, which is considered to be positive by conve ...
radicals. Each of these classes involve various sub-classes, with neutral phosphorus radicals being the most extensively studied. Phosphorus exists as one isotope
31P (''I'' = 1/2) with large hyperfine couplings relative to other spin active nuclei, making phosphorus radicals particularly attractive for spin-labelling experiments.
Neutral phosphorus radicals
Neutral phosphorus radicals include a large range of conformations with varying spin densities at the phosphorus. Generally, they can categorised as mono- and
bi/di-radicals (also referred to as bisradicals and biradicaloids) for species containing one or two radical phosphorus centres respectively.
Monoradicals
In 1966, Muller et. al published the first
electron paramagnetic resonance (EPR/ESR) spectra displaying evidence for the existence of phosphorus-containing radicals. Since then a variety of phosphorus monoradicals have been synthesised and isolated. Common ones include phosphinyl (R
2P
•), phosphonyl (R
2PO
•), and phosphoranyl (R
4P
•) radicals.
Synthesis
Synthetic methods for obtaining neutral phosphorus mondoradicals include
photolytic reduction of trivalent phosphorus chlorides, P-P
homolytic cleavage, single electron
oxidation
Redox (reduction–oxidation, , ) is a type of chemical reaction in which the oxidation states of substrate change. Oxidation is the loss of electrons or an increase in the oxidation state, while reduction is the gain of electrons or a ...
of phosphines, and
cleavage of P-S or P-Se bonds.

The first persistent two-coordinate phosphorus-centred radicals
3Si)2N">Me3Si)2Nsub>2P
• and
3Si)2CH">Me3Si)2CHsub>2P
• were reported in 1976 by Lappert and co-workers. They are prepared by
photolysis
Photodissociation, photolysis, photodecomposition, or photofragmentation is a chemical reaction in which molecules of a chemical compound are broken down by photons. It is defined as the interaction of one or more photons with one target molecule. ...
of the corresponding three-coordinate phosphorus chlorides in toluene in the presence of an electron-rich olifin.
In 2000, the Power group found that this species can be synthesised from the dissolution, melting or evaporation of the dimer.
In 2001, Grützmacher et al. reported the first stable diphosphanyl radical
es*MeP-PMes*sup>• (Mes =
1,3,5-trimethylbenzene) from the reduction of the phosphonium salt
es*MeP-PMes*sup>+(O
3SCF
3)
- in an acetonitrile solution containing
tetrakis(dimethylamino)ethylene
Tetrakis(dimethylamino)ethylene (TDAE) is an organic compound with the formula (NMe2)2sub>2 (where Me = CH3). A colorless liquid, this compound is classified as an enamine. Primary and secondary enamines tend to isomerize, but tertiary enamines a ...
(TDE) at room temperature, yielding yellow crystals.
The
monomer
In chemistry, a monomer ( ; ''mono-'', "one" + '' -mer'', "part") is a molecule that can react together with other monomer molecules to form a larger polymer chain or three-dimensional network in a process called polymerization.
Classification
...
is stable below -30 ºC in the solid state for a few days. At room temperature the species decomposes in solution and in the solid state with a half life of 30 minutes at 3 x 10
-2 M.

The first structurally characterised phosphorus radical
3SiNP(µ3-N''t''Bu)33X">e3SiNP(µ3-N''t''Bu)33Xsup>• (X = Br, I) was synthesised by Armstrong et al. in 2004 by the oxidation of the starting material with
halogens
The halogens () are a group in the periodic table consisting of five or six chemically related elements: fluorine (F), chlorine (Cl), bromine (Br), iodine (I), astatine (At), and tennessine (Ts). In the modern IUPAC nomenclature, this group ...
bromide or iodine in a mixture of toluene and THF at 297 K. This produces blue crystals that can be characterised by
X-ray crystallography
X-ray crystallography is the experimental science determining the atomic and molecular structure of a crystal, in which the crystalline structure causes a beam of incident X-rays to diffract into many specific directions. By measuring the angle ...
.
The steric bulk of the alkyl-imido groups was identified as playing a major role in the stabilising of these radicals.

In 2006, Ito et al. prepared an air tolerant and thermally stable 1,3-diphosphayclobutenyl radical.
Sterically bulky phospholkyne (Mes*C≡P) is treated with 0.5 equiv of t-BuLi in THF to form a 1,3 diphosphaalkyl anion. This is reduced with iodine solution to form a red product. The species is a planar four-membered diphosphacyclobutane (C
2P
2) ring with the Mes* having torsional angles with the C
2P
2 plane.
= Metal stabilised radicals
=
In 2007, Cummins et al. synthsised a phosphorus radical using nitridovanadium trisanilide metallo ligands with similar form to Lappert, Power and co-workers' "jack-in-the-box" diphosphines. This is made by the synthesis of the radical precursor ClP
Vsub>3]
2 followed by its one electron reduction with Ti
(''t''Bu)Arsub>3 or potassium graphite to yield dark brown crystals in 77% yield.
EPR data showed delocalisation of electron spin across the two
51V and one
31P nuclei. This was consistent with computation, supporting the reported resonance structures. This delocalisation across the vanadium atoms was identified as the source of stabilisation for this species due to the ease for transition metals to undergo one-electron chemistry. Cummins and co-workers postulated that the p-character of the system could be tuned by changing the metal centres.

Other metals stabilised radicals have been reported by Scheer et al, and Schneider et al using ligand containing tungsten and osmium respectively.
Structure and properties

As previously mentioned, kinetic stabilisation through bulky ligands has been an effective strategy for producing persisting phosphorus radicals. Delocalisation of the electron has also shown a stabilising effect on phosphorus radical species. This conversely results in more delocalised spin densities, and lower coupling constants relative to
31P localised electron spin. For this reason the spin localisation on the phosphorus atom varies widely for different phosphorus radical species.
Cyclic radicals like that by Ito at al have delocalisation across the rings. In this case X-ray, EPR spectroscopy, and ab initio calculations found that 80-90% of the spin was delocalised on the carbons in the C
2P
2 ring and the rest on the phosphorus atoms. Despite this, the ''a''
P2 constant shows similar spectroscopic property to organic radicals that contain conjugated P=C doubles bond, justifying the resonance structure used for this species.
The phosphinyl radicals synthesised by Lappert and co-workers were found to be stable at room temperature for periods of over 15 days with no effect from short-term heating at 360 K.
This stability was assigned to the steric bulk of the substituents and the absence of beta-hydrogen atoms. A structural study of this species conducted using X-ray crystallography, gas-phase electron diffraction, and ab initio molecular orbital calculations found that the source of this stability was not the bulkiness of the CH(SiMe
3)
2 ligands but the release of strain energy during homolytic cleavage at the P-P bond of the dimer that favoured the existence of the radical.
The dimer shows a ''syn,anti'' conformation, which allows for better packing but has excessive crowding at the trimethylsilyl groups, while the radical monomer displays ''syn,syn'' conformation. Theoretical calculations showed that the process of cleaving the P-P bond (endothermic), relaxation to release steric strain, and rotation about the P-C bond to yield ''syn,syn'' conformation on the monomer radical (exothermic by 67.5 kJ for each unit) is an overall exothermic process.
The stability of this species can therefore be attributed to the energy release of strain energy by the reorganisation of the ligands as the dimer converts to the radical monomer. This effect have been observed in other systems containing the CH(SiMe
3)
2 ligand and was dubbed the "Jack-in-the-box" model. Other ligand with similar flexibility, and ability to undergo conformational changes were identified as PnR
2 (Pn - P, As, Sb) and ERR'
2 (E = Si, Ge, Sn; R' = bulky ligand).
In 2022, Brehm and co-workers investigated the electron density distribution across centres in metal-coordinated phosphanoxyl complexes. This study showed that tungsten-containing radical complexes have small amounts of spin density on the metal nuclei while in the case of manganese and iron, the spins are purely metal-centred.
Biradicals
Biradicals are molecules bearing two unpaired electrons. These radicals can interact
ferromagnetically (triplet),
antiferromagnetically (open-shell singlet) or not interact at all (two-doublet).
Biradicaloids/diradicaloids are a class of biradicals with significant radical centre interaction.
Synthesis
The first phosphorus biradical was reported in 2011 by T. Breweies and co-workers. The biradicaloid
(µ-NR)sub>2 (R=Hyp, Ter) was synthesised by the reduction of cyclo-1,3-diphospha (III)-2,4-diazanes using
2TiCl}2">Cp2TiCl}2as the reducing agent.
The bulky Ter and Hyp substituents provide a large stabilising effect. This effect is more pronounced with Ter where the biradical is stable in inert atmospheres in the solid state for long periods of time at temperatures up to 224 C. Computational studies determined that the
(µ-NTer)sub>2 radical shows an openshell singlet ground state biradical character.
Villinger et al later synthesised a stable cyclopentane-1,3-diyl biradical by the insertion of CO into a P–N bond of diphosphadiazanediyl.

In 2017 D. Rottschäfer et al reported a N-heterocyclic vinylindene-stabilised singlet biradicaloid phosphorus compound (''i''Pr)CP]
2 (''i''Pr = 1,3-bis(2,6-diisopropylphenyl)imidazol-2-ylidene). Significant ''π''-e
- density is transferred to C
2P
2 ring.
The species was found to be diamagnetic with temperature-independent NMR resonances, so can be considered a
non-Kekulé molecule.
Structure and properties
The species by Villinger can undergo reaction with phosphaalkyne forming a five-membered P
2N
2C heterocycle with a P-C bridge. It can also undergo
halogenation
In chemistry, halogenation is a chemical reaction that entails the introduction of one or more halogens into a compound. Halide-containing compounds are pervasive, making this type of transformation important, e.g. in the production of polyme ...
and reaction with elemental sulfur.
Characterisation

Phosphorus radicals are commonly characterized by EPR/ESR to elucidate the spin localisation of the radical across the radical species. Higher coupling constants are indicative of higher localisation on phosphorus nuclei. Quantum chemical calculations on these systems are also used to support this experimental data.
Before the characterization by X-ray crystallography by Armstrong et al, the structure of the phosphorus centred radical
3Si)2CH">Me3Si)2CHsub>2P
• had been determined by
electron diffraction
Electron diffraction refers to the bending of electron beams around atomic structures. This behaviour, typical for Wave (physics), waves, is applicable to electrons due to the wave–particle duality stating that electrons behave as both particle ...
.
The diphosphanyl radical
es*MeP-PMes*sup>• had been stabilised through doping into crystals of Mes*MePPMeMes*.
The radical synthesised by Armstrong et al was found to exist as a distorted PN
3Li
3X cube in the solid state. They found that upon dissolution in THF, this cubic structure is disrupted, leaving the species to form a solvent-separated ion pair.
Phosphorus radical cations
Synthesis
Phosphorus radical cations are often obtained from the one-electron oxidation of diphosphinidenes and
phosphalkenes.

In 2010, the Bertrand group found that carbene-stabilised diphosphinidenes can undergo one-electron oxidation in toluene with Ph
3C
+B(C
6F
5)
4− at room temperature in inert atmosphere to produce radical cations (Dipp=2,6-Diisopropylphenyl)
. The Bertrand group reported the synthesis of
2">cAAC)P2sup>•+ ,
2">NHC)P2sup>•+ and
2">NHC)P2sup>++ . The EPR signal for
cAAC)P2��+ is a triplet of quintents, resulting form coupling to with 2 P nuclei and a small coupling with 2 N nuclei. NBO analysis showed spin delocalisation across two phosphorus atoms (0.27e each) and nitrogen atoms(0.14e each). Contrastingly, the
2">NHC)P2sup>•+complex showed delocalisation mostly on phosphorus (0.33e and 0.44e) with little contribution of other elements.
Other diradicals synthesised by the Bertrand group involved species single phosphorus atoms. These included
TMP)P(cAAC)sup>•+ where spin is localised on phosphorus (67%)
and
is(carbene)-PNsup>•+ with spin density distributed over phosphorus (0.40e), central nitrogen atom (0.18e), and N atom of cAAC (0.19e). Treatment with this later cation with KC
8 returns it to its neutral analogue.

In 2003, Geoffroy et al. synthesised Mes*P
•-(C(NMe
2)
2)
+ through a one electron oxidation of a phosphaalkenes with
2Fe">p2FeF
6.
A solution of Mes*P
•-(C(NMe
2)
2)
+ is stable in inert atmosphere in the solid state for a few weeks and a few days in solution. Hyperfine couplings on EPR show strong localisation of the spin to the phosphorus nuclei (0.75e in p orbital). In 2015, the Wang group was able to isolate the crystal structure of this species with use of the oxidant of a weakly coordinating anion Ag
l(ORF)4sup>-.
The electron spin density, found by EPR, resides principally on phosphorus 3p and 3s orbitals (68.2% and 2.46% respectively). This was supported by DFT calculations where 80.9% of spin density was found to be localised on phosphorus atom.

Weakly coordinating anions were also used to stabilise cyclic biradical cations synthesised by Schulz and colleagues where the spin density was found to reside exclusively on the phosphorus atoms (0.46e each) in the case of
(μ-NTer)2Psup>•+. In the case of
(μ-NTer)2Assup>•+ the spin was found to mostly reside on the As nuclei (70.6% on As compared to 29.4% on P atom). Many other cyclic radical cations have been reported.

It is difficult to form radical cations with diphosphenes due to low lying
HOMO
''Homo'' () is the genus that emerged in the (otherwise extinct) genus '' Australopithecus'' that encompasses the extant species ''Homo sapiens'' (modern humans), plus several extinct species classified as either ancestral to or closely relat ...
at the phosphorus centre. Ghadwal and co-workers were able to synthesise a diphosphene radical cation
sub>2
•+ using an NHC-derived divinyldiphosphene with a high lying
HOMO
''Homo'' () is the genus that emerged in the (otherwise extinct) genus '' Australopithecus'' that encompasses the extant species ''Homo sapiens'' (modern humans), plus several extinct species classified as either ancestral to or closely relat ...
and an small
HOMO-LUMO gap. The stability of the species was identified as the delocalisation of the spin density across the CP
2C-unit.
The spin density was found to be 11-14% on each P nuclei and 17-21% on each C nuclei.
Structure and properties
A unique source of stability for phosphorus radical cations is the
electrostatic repulsion
Electrostatics is a branch of physics that studies electric charges at rest (static electricity).
Since classical times, it has been known that some materials, such as amber, attract lightweight particles after rubbing. The Greek word for amber ...
between radical cations that prevents dimerisation.
Weakly coordinating anions have been used to stabilise biradical cations.
Phosphorus radical anions
Synthesis
The most common method for accessing radical anions is through the use of
reducing agents
In chemistry, a reducing agent (also known as a reductant, reducer, or electron donor) is a chemical species that "donates" an electron to an (called the , , , or ).
Examples of substances that are commonly reducing agents include the Earth me ...
.

In 2014 the Wang group reported the synthesis of a phosphorus-centred radical anion through the reduction of a phosphalkene using either Li in DME or K in THF yielding purple crystals.
EPR data showed localisation of the spin on 3p (51.09%) and 3s (1.62%) orbitals of phosphorus. They later synthesised a diphosphorus-centred radial anion and the first di-radical di-anion from the reduction of the diphosphaalkene with KC8 in THF in the presence of 18-crown-6. In both cases the spin density resides principally on the phosphorus nuclei.

Tan and co-workers used a
charge transfer approach to synthesis the phosphorus radical anion coordinated Co
II and Fe
II complexes. Here diazafluorenylidene-substituted phosphaalkene is reacted with low valent transition metal complexes to form phosphorus radical anions coordinated with metal complexes.
This species displays a quartet ground state showing weak antiferromagnetic interaction of the phosphorus radical with the high-spim TM
II ion. The spin density is mostly localised on TM and phosphorus nuclei.
The group further synthesised radical anion lanthanide complexes which also showed antiferromagnetic interaction.

The π-acid properties of boryl substituents were employed by Yamashita and co-workers to stabilise phosphorus radical anions.
Here the diazafluorenylidene-substituted phosphaalkene is reacted with
2Ln">p*2LnBPh
4] (Ln = Dy, Tb, and Gd) followed by reduction with KC
8 in the absence or presence of 2,2,2-cryptand yielding complexes with radical anion phosphaalkene fragments. EPR and DFT calculations indicate spin density mostly localised on the P nuclei (67.4%).
Further reading
Reviews
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Reactivity
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Potential applications
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References
{{Reflist
Chemistry
Phosphorus compounds
Free radicals