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Phosphorus-31 nuclear magnetic resonance

Phosphorus-31 nuclear magnetic resonance is a physics 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 Phosphorus-31 nuclear magnetic resonance rather than just read about it. In short: Phosphorus-31 NMR spectroscopy is an analytical chemistry technique that uses nuclear magnetic resonance (NMR) to study chemical compounds that contain phosphorus. Phosphorus is commonly found in organic compounds and coordination complexes (as phosphines), making it useful to measure 31- NMR spectra routinely.

Phosphorus-31 nuclear magnetic resonance — main illustration
Phosphorus-31 nuclear magnetic resonance — illustration

Key takeaways

  • Phosphorus-31 nuclear magnetic resonance belongs to physics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Phosphorus-31 nuclear magnetic resonance to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Phosphorus-31 nuclear magnetic resonance from memory before moving on to harder problems.

Reference excerpt

Phosphorus-31 NMR spectroscopy is an analytical chemistry technique that uses nuclear magnetic resonance (NMR) to study chemical compounds that contain phosphorus. Phosphorus is commonly found in organic compounds and coordination complexes (as phosphines), making it useful to measure 31- NMR spectra routinely. Solution 31P-NMR is one of the more routine NMR techniques because 31P has an isotopic abundance of 100% and a relatively high gyromagnetic ratio. The 31P nucleus also has a spin of ⁠1/2⁠, making spectra relatively easy to interpret. The only other highly sensitive NMR-active nuclei spin ⁠1/2⁠ that are monoisotopic (or nearly so) are 1H and 19F.

Operational aspects With a gyromagnetic ratio 40.5% of that for 1H, 31P-NMR signals are observed near 202 MHz on an 11.7-tesla magnet (used for 500 MHz 1H-NMR measurements). Chemical shifts are typically referenced to 85% phosphoric acid, which is assigned the chemical shift of 0, and appear at positive values (downfield of the standard). Due to the inconsistent nuclear Overhauser effect, integrations are not useful. Most often, spectra are recorded with protons decoupled.

Applications in chemistry 31P-NMR spectroscopy is useful to assay purity and to assign structures of phosphorus-containing compounds because these signals are well resolved and often occur at characteristic frequencies. Chemical shifts and coupling constants span a large range but sometimes are not readily predictable. The Gutmann-Beckett method uses Et3PO in conjunction with 31P-NMR spectroscopy to assess the Lewis acidity of molecular species.

Chemical shifts The ordinary range of chemical shifts ranges from about δ250 to −δ250, which is much wider than typical for 1H-NMR. Unlike 1H-NMR spectroscopy, but similar to most other nuclei, 31P-NMR shifts are primarily not determined by the magnitude of the diamagnetic shielding, but are dominated by the so-called paramagnetic shielding tensor (unrelated to paramagnetism). The paramagnetic shielding tensor, σp, includes terms that describe the radial expansion (related to charge), energies of excited states, and bond overlap. Illustrative of the effects lead to big changes in chemical shifts, the chemical shifts of the two phosphate esters (MeO)3PO (δ2.1) and (t-BuO)3PO (δ-13.3). More dramatic are the shifts for phosphine derivatives H3P (δ-240), (CH3)3P (δ-62), (i-Pr)3P (δ20), and (t-Bu)3P (δ61.9).

Coupling constants One-bond coupling is illustrated by PH3 where J(P,H) is 189 Hz. Two-bond couplings, e.g. PCH are an order of magnitude smaller. The situation for phosphorus-carbon couplings are more complicated since the two-bond couplings are often larger than one-bond couplings. The J(13C,31P) values for triphenylphosphine are respectively −12.5, 19.6, 6.8, and 0.3 for one-, two-, three-, and four-bond couplings.

Historical note The convention surrounding 31P-NMR (and other nuclei) changed convention in 1975: "The dimensionless scale should be defined as positive in the high frequency (low field) direction." Therefore, note that manuscripts published before 1976 will generally have the opposite sign.

Biomolecular applications 31P-NMR spectroscopy is widely used for studies of phospholipid bilayers and biological membranes in native conditions. The analysis of 31P-NMR spectra of lipids could provide a wide range of information about lipid bilayer packing, phase transitions (gel phase, physiological liquid crystal phase, ripple phases, non bilayer phases), lipid head group orientation/dynamics, and elastic properties of pure lipid bilayer and as a result of binding of proteins and other biomolecules. In addition, a specific N-H...(O)-P experiment (INEPT transfer using three-bond scalar coupling 3JN-P~5 Hz) could provide a direct information about formation of hydrogen bonds between amine protons of protein to phosphate of lipid headgroups, which is useful in studies of protein/membrane interactions.

Notes

References

Illustrations

Phosphorus-31 nuclear magnetic resonance: 31P-NMR spectrum of Wilkinson's catalyst (.mw-parser-output .template-chem2-su{display:inline-block;font-size:80%;line-height:1;vertical-align:-0.35em}.mw-parser-output .template-chem2-su>span{display:block;text-align:left}.mw-parser-output sub.template-chem2-sub{font-size:80%;vertical-align:-0.35em}.mw-parser-output sup.template-chem2-sup{font-size:80%;vertical-align:0.65em}RhCl(PPh3)3) in toluene solution. In addition to 31P–31P coupling between the two types of phosphine centers, 103Rh–31P coupling is also evident. The chemical shifts are referenced to external 85% H3PO4.
31P-NMR spectrum of Wilkinson's catalyst (.mw-parser-output .template-chem2-su{display:inline-block;font-size:80%;line-height:1;vertical-align:-0.35em}.mw-parser-output .template-chem2-su>span{display:block;text-align:left}.mw-parser-output sub.template-chem2-sub{font-size:80%;vertical-align:-0.35em}.mw-parser-output sup.template-chem2-sup{font-size:80%;vertical-align:0.65em}RhCl(PPh3)3) in toluene solution. In addition to 31P–31P coupling between the two types of phosphine centers, 103Rh–31P coupling is also evident. The chemical shifts are referenced to external 85% H3PO4.

Worked examples

Example 1 — a first encounter with Phosphorus-31 nuclear magnetic resonance

Start with the simplest possible case. Write down what Phosphorus-31 nuclear magnetic resonance claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In physics, 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 Phosphorus-31 nuclear magnetic resonance 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 Phosphorus-31 nuclear magnetic resonance 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 Phosphorus-31 nuclear magnetic resonance

In research
Phosphorus-31 nuclear magnetic resonance appears in physics 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 Phosphorus-31 nuclear magnetic resonance 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
Phosphorus-31 nuclear magnetic resonance is common in secondary-school and first-year university syllabi. It links to neighbouring topics Nuclear magnetic resonance, Phosphorus, so understanding it makes those chapters shorter.
In everyday life
Look for Phosphorus-31 nuclear magnetic resonance 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 Phosphorus-31 nuclear magnetic resonance in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Phosphorus-31 nuclear magnetic resonance 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 Phosphorus-31 nuclear magnetic resonance out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Phosphorus-31 nuclear magnetic resonance in simple terms?

Phosphorus-31 NMR spectroscopy is an analytical chemistry technique that uses nuclear magnetic resonance (NMR) to study chemical compounds that contain phosphorus. Phosphorus is commonly found in organic compounds and coordination complexes (as phosphines), making it useful to measure 31- NMR spect…

Why does Phosphorus-31 nuclear magnetic resonance matter?

Because it connects several physics 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 Phosphorus-31 nuclear magnetic resonance?

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 Phosphorus-31 nuclear magnetic resonance.

Tags

  • Nuclear magnetic resonance
  • Phosphorus

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