Phosphorus-31 nuclear magnetic resonance

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 31P 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 ½, making spectra relatively easy to interpret. The only other highly sensitive NMR-active nuclei spin ½ that are monoisotopic (or nearly so) are 1H and 19F.[1][lower-alpha 1]

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 referenced to 85% phosphoric acid, which is assigned the chemical shift of 0, with positive shifts to low field/high frequency.[2] Due to the inconsistent nuclear Overhauser effect, integrations are not useful.[2] Most often, spectra are recorded with protons decoupled.

31P NMR spectrum of Wilkinson's catalyst (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 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, 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).[3]

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 = -12.5, 19.6, 6.8, 0.3 for one-, two-, three-, and four-bond couplings.[4]

Biomolecular applications

31P-NMR spectroscopy is widely used for studies of phospholipid bilayers and biological membranes in native conditions. The analysis[5] 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
  1. The nuclei 89Y, 103Rh and 169Tm are also monoisotopic and spin ½, but have very low magnetogyric ratios.
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References
  1. See Harris, Robin Kingsley and Mann, Brian E.; NMR and the periodic table, p. 13 ISBN 0123276500
  2. Roy Hoffman (2007). "31Phosphorus NMR". Hebrew University.
  3. D. G. Gorenstein "Nonbiological Aspects of Phosphorus-31 NMR Spectroscopy" Progress in NMR Spectroscopy 1983, vol. 16, pp. 98.
  4. O. Kühl "Phosphorus-31 NMR Spectroscopy" Springer, Berlin, 2008. ISBN 978-3-540-79118-8
  5. Dubinnyi MA; Lesovoy DM; Dubovskii PV; Chupin VV; Arseniev AS (Jun 2006). "Modeling of 31P-NMR spectra of magnetically oriented phospholipid liposomes: A new analytical solution". Solid State Nucl Magn Reson. 29 (4): 305–311. doi:10.1016/j.ssnmr.2005.10.009. PMID 16298110.
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