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Proton (¹H) NMR: Chemical Shift01:07

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Organic molecules primarily contain carbon and hydrogen atoms. While all the hydrogen isotopes are NMR-active, protium or hydrogen-1 is the most abundant. It has a significant energy separation between its nuclear spin states due to its large gyromagnetic ratio. As per Boltzmann's distribution, an increase in the energy separation implies a greater excess population of nuclei available for excitation, resulting in a strong NMR absorption signal.
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A proton M that is coupled to a proton X results in doublet signals for M. However, NMR-active nuclei can be simultaneously coupled to more than one nonequivalent nucleus. When M is coupled to a second proton A, such as in styrene oxide, each peak in the doublet is split into another doublet.
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In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1  triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the...
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The molecular orbital theory describes the distribution of electrons in molecules in a manner similar to the distribution of electrons in atomic orbitals. The region of space in which a valence electron in a molecule is likely to be found is called a molecular orbital. Mathematically, the linear combination of atomic orbitals (LCAO) generates molecular orbitals. Combinations of in-phase atomic orbital wave functions result in regions with a high probability of electron density, while...
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In an atom, the negatively charged electrons are attracted to the positively charged nucleus. In a multielectron atom, electron-electron repulsions are also observed. The attractive and repulsive forces are dependent on the distance between the particles, as well as the sign and magnitude of the charges on the individual particles. When the charges on the particles are opposite, they attract each other. If both particles have the same charge, they repel each other.
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Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method
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Generalized Nuclear-Electronic Orbital Multistate Density Functional Theory for Multiple Proton Transfer Processes.

Joseph A Dickinson1, Qi Yu1, Sharon Hammes-Schiffer1

  • 1Department of Chemistry, Yale University, New Haven, Connecticut 06520, United States.

The Journal of Physical Chemistry Letters
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This study generalizes the nuclear-electronic orbital multistate density functional theory (NEO-MSDFT) to handle multiple proton transfers. The enhanced method accurately models quantum proton tunneling in various chemical and biological systems.

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Area of Science:

  • Quantum Chemistry
  • Theoretical Chemistry
  • Chemical Physics

Background:

  • Proton transfer and hydrogen tunneling are fundamental to chemical and biological processes.
  • The nuclear-electronic orbital multistate density functional theory (NEO-MSDFT) framework quantizes protons for hydrogen tunneling studies.

Purpose of the Study:

  • To generalize the NEO-MSDFT approach for systems with multiple quantum proton transfers.
  • To enable accurate simulations of complex proton tunneling phenomena.

Main Methods:

  • Generalization of the NEO-MSDFT framework to accommodate an arbitrary number of quantum protons.
  • Application to model systems including formic acid dimer, porphycene, and protonated water chains.

Main Results:

  • The generalized NEO-MSDFT approach yields delocalized, bilobal proton densities.
  • Accurate prediction of tunneling splittings for various molecular systems.
  • Demonstrated applicability to proton relay systems.

Conclusions:

  • The generalized NEO-MSDFT provides a robust foundation for simulating multiple proton transfer processes.
  • This advancement is crucial for understanding complex quantum dynamics in chemistry and biology.