Quadrupolar coupling

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Quadrupolar coupling is an interaction that occurs in nucleus that has more than 2 different spin states. Only nuclei with spin 0 or 1/2 do not have this interaction. On one hand this interaction is source of addtional information, but on the other hand it could make the signal decrease too fast to be observed (as it is for <sup>14</sup>N). This interaction exists even without any applied magnetic field, where the energy of corresponding splitting (even in the absence of external field) between the different states could be quite strong (several hundreds of kHz, to some MHz). This splitting is what is detected by [[nuclear quadrupolar resonance]] (NQR).
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Quadrupolar coupling is an interaction that occurs in nucleus that has more than 2 different spin states. Only nuclei with spin 0 or 1/2 do not have this interaction. On one hand this interaction is source of additional information, but on the other hand it could make the signal decrease too fast to be observed (as it is for <sup>14</sup>N). This interaction exists even without any applied magnetic field, where the energy of corresponding splitting (even in the absence of external field) between the different states could be quite strong (kHz, to hundreds of MHz). This splitting is what is detected by [[nuclear quadrupolar resonance]] (NQR).
===Source of this interaction===
===Source of this interaction===
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Nucleus for spin equal or higher than 1 have an energy splitting that happens when their is an electric field gradient on the nucleus. So highly symmetric molecules will not have this electric field, and so their will not be this energy splitting. The electric field depend on the geometry of the molecule. The splitting that appear because of this interaction could allow to determine the relative orientation.
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A nucleus with a spin I>1/2 has a quadrupole moment (Q) which will interact with an electric field gradient (efg) causing the degeneracy of the nuclear energy levels to be lifted (there will be 2I+1 energy levels). The electric field gradient is provided by an asymmetric distribution of electron density around the nucleus. So highly symmetric molecules will not have this electric field gradient, and so there will not be this energy splitting. The size of the splittings depend on the magnitude of the quadrupole moment (traditionally measured in milliBarns - a unit of area) and the size of the electric field gradient (a second order tensor).
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The efg tensor (unlike the chemical shift tensor) is traceless so in solution the quadrupole interaction is averaged to zero.
===Consequence of the interaction===
===Consequence of the interaction===
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The rapid change caused by the fluctuation of the electric field could lead to fast relaxation, this occures slow enough to be observed for deuterium nucleus. But in the the case of 14N that is much more strongly coupled to the local electric field gradient, the relaxation is too fast to be observed. Even nearby nucleus relax faster due to the Scalar coupling to this very fast relaxing nucleus.
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The rapid change caused by the fluctuation of the electric field gradient usually leads to fast relaxation. If the quadrupole moment is small, as it is for deuterium, or the efg is small the relaxation effects are not too severe.
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In NMR this fast relaxation has the effect of decoupling the quadrupole nucleus so scalar (spin-spin) coupling is rarely seen. The NMR lines for quadrupolar nuclei are also often very broad also due to the fast relaxation.
===Strength of this interaction===
===Strength of this interaction===

Current revision

Quadrupolar coupling is an interaction that occurs in nucleus that has more than 2 different spin states. Only nuclei with spin 0 or 1/2 do not have this interaction. On one hand this interaction is source of additional information, but on the other hand it could make the signal decrease too fast to be observed (as it is for 14N). This interaction exists even without any applied magnetic field, where the energy of corresponding splitting (even in the absence of external field) between the different states could be quite strong (kHz, to hundreds of MHz). This splitting is what is detected by nuclear quadrupolar resonance (NQR).

Contents

Source of this interaction

A nucleus with a spin I>1/2 has a quadrupole moment (Q) which will interact with an electric field gradient (efg) causing the degeneracy of the nuclear energy levels to be lifted (there will be 2I+1 energy levels). The electric field gradient is provided by an asymmetric distribution of electron density around the nucleus. So highly symmetric molecules will not have this electric field gradient, and so there will not be this energy splitting. The size of the splittings depend on the magnitude of the quadrupole moment (traditionally measured in milliBarns - a unit of area) and the size of the electric field gradient (a second order tensor). The efg tensor (unlike the chemical shift tensor) is traceless so in solution the quadrupole interaction is averaged to zero.

Consequence of the interaction

The rapid change caused by the fluctuation of the electric field gradient usually leads to fast relaxation. If the quadrupole moment is small, as it is for deuterium, or the efg is small the relaxation effects are not too severe.

In NMR this fast relaxation has the effect of decoupling the quadrupole nucleus so scalar (spin-spin) coupling is rarely seen. The NMR lines for quadrupolar nuclei are also often very broad also due to the fast relaxation.

Strength of this interaction

Usage of this interaction

  • determination the orientation of methyl groups using deuterium NMR in solid state.
  • determination of dynamics using the fast relaxation of deuterium in solution for macromolecules
  • determining the binding of water (23Na or 2H)

References

[1]

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