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Phosphenium

Phosphenium is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Phosphenium rather than just read about it. In short: Phosphenium ions, not to be confused with phosphonium or phosphirenium, are dicoordinated cations of phosphorus of the form [PR2]+. Phosphenium ions have long been proposed as reaction intermediates.

Phosphenium — main illustration
Phosphenium — illustration

Key takeaways

  • Phosphenium belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Phosphenium to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Phosphenium from memory before moving on to harder problems.

Reference excerpt

Phosphenium ions, not to be confused with phosphonium or phosphirenium, are dicoordinated cations of phosphorus of the form [PR2]+. Phosphenium ions have long been proposed as reaction intermediates.

Synthesis

Legacy methods The first cyclic phosphenium compounds were reported in 1972 by Suzanne Fleming and coworkers. Acyclic phosphenium compounds were synthesized by Fleming's thesis advisor Robert Parry in 1976.

Methods Several methods exist for the preparation of two-coordinate phosphorus ions. A common method involves halide abstraction from halophosphines:

R2PCl + AlCl3 → [R2P+][AlCl−4] Protonolysis of tris(dimethylamino)phosphine affords the phosphenium salt:

P(NMe2)3 + 2 HOTf → [P(NMe2)2]OTf + [HNMe2]OTf Weakly coordinating anions are desirable. Triflic acid is often used. N-heterocyclic phosphenium (NHP) have also been reported. Reaction of PI3 with the α-diimine yields the NHP cation by reduction of the diimine and oxidation of iodine.

Structure and bonding According to X-ray crystallography, [(i-Pr2N)2P]+ is nearly planar consistent with sp2-hybridized phosphorus center. The planarity of the nitrogen center is consistent with the resonance of the lone pair of the nitrogen atom as a pi bond to the empty phosphorus 3p orbital perpendicular to the N−P−N plane. An idealized sp2 phosphorus center would expect an N−P−N angle of 120°. The tighter N−P−N angle observed in the crystal structure can be interpreted as the result of repulsion between the phosphorus lone pair with the bulky i-Pr2N ligands, as the P(NH2)+2 and PH+2 molecules have bond angles closer to 110° and 90°, respectively.

Calculations also show that the analogy to carbenes is lessened by strongly π-donating substituents. With NH2 substituents, the phosphenium cation assumes allyl character. Generalized Valence Bond (GVB) calculations of the phosphenium ions as having a singlet ground state, singlet-triplet separation increases with increasing electronegativity of the ligands. The singlet-triplet separation for PH+2 and PF+2 were calculated to be 20.38 and 84.00 kcal/mol, respectively. Additionally, the triplet state of the phosphenium ion displays a greater bond angle at the phosphorus. For example, the calculated bond angle of the singlet state of PH+2 is approximately 94° compared to 121.5° in the triplet state. Calculated bond lengths between the two states are not significantly impacted.

Reactivity Phosphenium is isoelectronic with singlet (Fisher) carbenes and are therefore expected to be Lewis acidic. Adducts are produced by combining [P(NMe2)2]+ and P(NMe2)3:

P(NMe2)2]+ + P(NMe2)3 → [(Me2N)3P−P(NMe2)2]+ Being electrophilic, they undergo C−H insertion reactions.

Reactions with dienes Phosphenium intermediates are invoked as intermediates in the McCormack reaction, a method for the synthesis of organophosphorus heterocycles. An illustrative reaction involves phenyldichlorophosphine and isoprene:

Isolated phosphenium salts undergo this reaction readily. There are few examples of reactions catalyzed by phosphenium. In 2018, Rei Kinjo and coworkers reported the hydroboration of pyridines by the NHP salt, 1,3,2-diazaphosphenium triflate. The NHP is proposed to act as a hydride transfer reagent in this reaction.

Coordination chemistry

Phosphenium ions serve as ligands in coordination chemistry. [(R2N)2PFe(CO)4]+ was prepared by two methods: the first being the abstraction of a fluoride ion from (R2N)2(F)PFe(CO)4 by PF5. The second method is the direct substitution reaction of Fe(CO)5 by the phosphenium ion [P(NR2)]+. Related complexes exist of the type Fe(CO)4L, where L = [(Me2N)2P]+, [(Et2N)2P]+, [(Me2N)(Cl)P]+, and [(en)P]+ (en = C2H4(NH2)2).

N-heterocyclic phosphenium-transition metal complexes are anticipated due to their isoelectronicity to N-heterocyclic carbenes. In 2004, Martin Nieger and coworkers synthesized two Cobalt-NHP complexes. Experimental and computation analysis of the complexes confirmed the expected L→M σ donation and the M→L π backbonding, though the phosphenium was observed to have reduced σ donor ability. It was suggested that this is due to the greater s orbital-character of the phosphorus lone pair compared to the lone pair of the analogous carbene. Additional studies of NHP ligands by Christine Thomas and coworkers in 2012, likened the phosphenium to nitrosyl. Nitrosyl is well known for its redox non-innocence, coordinating in either a bent or linear geometry that possess different L–M bonding modes. It was observed that NHPs in complex with a transition metal may have either a planar or pyramidal geometry about the phosphorus, reminiscent of the linear versus bent geometries of nitrosyl. Highly electron-rich metal complexes were observed to have pyramidal phosphorus, while less electron-rich metals showed greater phosphenium character at the phosphorus. Pyramidal phosphorus indicates significant lone pair character at phosphorus, suggesting that the L→M σ donation and the M→L π backbonding interactions have been replaced with M→L σ donation, formally oxidizing the metal center by two electrons.

Additional reading

Cycloadditions Cowley, A. H.; Kemp, R. A.; Lasch, J. G.; Norman, N. C.; Stewart, C. A.; Whittlesey, B. R.; Wright, T. C. (1986-03-01). "Reactivity of phosphenium ions toward 1,3- and 1,4-dienes". Inorganic Chemistry. 25 (6): 740–749. doi:10.1021/ic00226a007. ISSN 0020-1669. SooHoo, Carlton K.; Baxter, S. G. (1983-11-01). "Phosphenium ions as dienophiles". Journal of the American Chemical Society. 105 (25): 7443–7444. doi:10.1021/ja00363a039. ISSN 0002-7863. Thomas, Michael G.; Schultz, Charles W.; Parry, R. W. (1977-05-01). "Synthesis and characterization of dicoordinate phosphorus cations. Compounds of the type [(R2N)2P]+[Y]− and their congeners". Inorganic Chemistry. 16 (5): 994–1001. doi:10.1021/ic50171a005. ISSN 0020-1669.

Adducts Baxter, S. G.; Collins, R. L.; Cowley, A. H.; Sena, S. F. (1983-11-01). "Ferrocenyl-substituted phosphenium cations and phosphide anions". Inorganic Chemistry. 22 (23): 3475–3479. doi:10.1021/ic00165a022. ISSN 0020-1669. Cowley, A. H.; Lattman, M.; Wilburn, J. C. (1981-09-01). "NMR study of the reactions of phosphorus(III) halides with halide ion acceptors. Two-coordinate phosphorus cations with bulky ligands". Inorganic Chemistry. 20 (9): 2916–2919. doi:10.1021/ic50223a034. ISSN 0020-1669.

… excerpt ends here. Continue reading the full article.

Illustrations

Phosphenium: General line structure diagram of phosphenium.
General line structure diagram of phosphenium.
Phosphenium: Early examples of phosphenium cations.[1][2][3]
Early examples of phosphenium cations.[1][2][3]
Phosphenium: Redox synthesis of N-heterocyclic phosphenium.[5]
Redox synthesis of N-heterocyclic phosphenium.[5]
Phosphenium: Valence orbital diagram of phosphenium (Left). Structure of model phosphenium (NMe3)P+ determined by X-ray crystallography (Right).[3][6]
Valence orbital diagram of phosphenium (Left). Structure of model phosphenium (NMe3)P+ determined by X-ray crystallography (Right).[3][6]
Phosphenium illustration

Worked examples

Example 1 — a first encounter with Phosphenium

Start with the simplest possible case. Write down what Phosphenium claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Phosphenium before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Phosphenium ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Phosphenium

In research
Phosphenium appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Phosphenium in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Phosphenium is common in secondary-school and first-year university syllabi. It links to neighbouring topics Cations, Octet-deficient functional groups, Phosphorus compounds, so understanding it makes those chapters shorter.
In everyday life
Look for Phosphenium outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Phosphenium in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Phosphenium means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Phosphenium out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Phosphenium in simple terms?

Phosphenium ions, not to be confused with phosphonium or phosphirenium, are dicoordinated cations of phosphorus of the form [PR2]+. Phosphenium ions have long been proposed as reaction intermediates.

Why does Phosphenium matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Phosphenium?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Phosphenium.

Tags

  • Cations
  • Octet-deficient functional groups
  • Phosphorus compounds

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