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An applied magnetic field causes the electrons present in the molecule to circulate, setting up a local diamagnetic current within the molecule. The local diamagnetic current arising from circulating sigma-bonding electrons induces a magnetic field, Blocal that opposes the applied magnetic field, B0. The effective magnetic field experienced by these nuclei is given by the difference between the applied and local magnetic fields in a phenomenon called local diamagnetic shielding. Essentially,...
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All atomic nuclei are positively charged. When they have a nonzero spin, they behave like rotating charges. As a consequence of their charge and spin, these nuclei generate a magnetic field (B). This, in turn, gives rise to a magnetic moment (μ), which is randomly oriented in the absence of an external magnetic field. When an external magnetic field (B0) is applied, the magnetic moment vectors can align with the field or against it in 2 + 1 orientations. A hydrogen nucleus, which is just a...
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The number of nuclear spins aligned in the lower energy state is slightly greater than those in the higher energy state. In the presence of an external magnetic field, as the spins precess at the Larmor frequency, the excess population results in a net magnetization oriented along the z axis. When a pulse or a short burst of radio waves at the Larmor frequency is applied along the x axis, the coupling of frequencies causes resonance and flips the nuclear spins of the excess population from the...
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In an NMR sample, precise measurement of the absolute absorption frequencies of nuclei is difficult. A standard internal reference compound is added, and the frequency difference between the reference signal and sample signals is measured.
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An applied magnetic field causes loosely bound π-electrons in organic molecules to circulate, producing a local or induced diamagnetic field over a large spatial volume. As the molecules tumble in solution, the field generated by π-electrons in spherical substituents results in a zero net field. However, the net field generated by π-electrons in non-spherical substituents is not zero. The effect of this induced field depends on the orientation of the molecule with respect to B0,...
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Reference interaction site model self-consistent field with constrained spatial electron density approach for nuclear

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This study introduces a robust hybrid quantum chemistry and liquid statistical mechanics method for calculating nuclear magnetic resonance (NMR) chemical shifts. The new approach ensures stable and accurate NMR shielding constant calculations for solvated molecules.

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Area of Science:

  • Computational Chemistry
  • Physical Chemistry
  • Quantum Chemistry

Background:

  • Calculating nuclear magnetic resonance (NMR) chemical shifts for solvated molecules presents challenges.
  • Accurate electronic and solvation structures are crucial for reliable NMR shift predictions.

Purpose of the Study:

  • To develop a novel hybrid approach for calculating NMR chemical shifts of solvated molecules.
  • To enhance the numerical robustness and accuracy of NMR shift calculations.

Main Methods:

  • Combined quantum chemistry and statistical mechanics of liquids.
  • Utilized the reference interaction site model self-consistent field with constrained spatial electron density distribution (RISM-SCF-cSED) method.
  • Derived nuclear magnetic shielding tensor as a second-order derivative of Helmholtz energy.

Main Results:

  • Successfully calculated NMR chemical shifts for an adenine molecule in water, highlighting solvent dependence.
  • Demonstrated stable NMR shielding constant calculations due to guaranteed adequate electron density representation.
  • Showcased improved accuracy and numerical robustness compared to conventional methods.

Conclusions:

  • The RISM-SCF-cSED method provides a stable and accurate framework for calculating NMR chemical shifts.
  • The introduction of constrained spatial electron density distribution (cSED) broadens the applicability to diverse chemical species.
  • This hybrid approach offers superior performance in computational NMR spectroscopy.