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Related Concept Videos

2D NMR: Overview of Heteronuclear Correlation Techniques01:18

2D NMR: Overview of Heteronuclear Correlation Techniques

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Heteronuclear correlation spectroscopy is an analytical technique that investigates the coupling between different types of nuclei, often a proton and an X-nucleus, such as carbon-13 or nitrogen-15. This method is commonly used in nuclear magnetic resonance (NMR) spectroscopy to gain insights into complex chemical compounds' structural and compositional aspects. A typical heteronuclear correlation spectrum displays X-nucleus chemical shifts on one axis and a proton spectrum on the other...
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2D NMR: Overview of Homonuclear Correlation Techniques01:16

2D NMR: Overview of Homonuclear Correlation Techniques

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Homonuclear correlation spectroscopy (COSY) is a powerful technique used in Nuclear Magnetic Resonance (NMR) spectroscopy to study the correlations between nuclei of the same type within a molecule. It provides information about scalar couplings between adjacent nuclei, which helps determine connectivity and structural information. There are several COSY variants, each with its unique strengths and experimental parameters.
COSY90 is the standard two-dimensional (2D) COSY experiment that...
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Correlation of Experimental Data01:23

Correlation of Experimental Data

435
Dimensional analysis simplifies complex physical problems and guides experimental investigations, but it does not provide complete solutions. It identifies the dimensionless groups that influence a phenomenon, but experimental data is needed to establish the specific relationships and validate theoretical predictions.
For example, a spherical particle moving through a viscous fluid experiences drag. Dimensional analysis shows that the drag force depends on the particle's diameter, velocity,...
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Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)

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Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
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Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)01:22

Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)

1.4K
Vicinal or three-bond coupling is commonly observed between protons attached to adjacent carbons. Here, nuclear spin information is primarily transferred via electron spin interactions between adjacent C‑H bond orbitals. This generally favors the antiparallel arrangement of spins, so 3J values are usually positive.
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the involved orbitals. The...
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¹H NMR: Long-Range Coupling01:27

¹H NMR: Long-Range Coupling

2.5K
The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene...
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Relativistic Two-Component Multireference Configuration Interaction Method with Tunable Correlation Space.

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A new computational method accurately describes electronic structures for heavy elements by including relativistic and electron correlation effects. This approach enhances the study of molecular properties for late-row elements and heavy ions.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Electronic Structure Theory

Background:

  • Late-row elements (period 4 and beyond) and their molecular complexes exhibit complex electronic structures due to multiconfiguration effects.
  • Significant relativistic effects in heavy elements pose substantial challenges for accurate electronic structure calculations.
  • Existing methods often struggle to simultaneously incorporate both relativistic effects and electron correlation accurately.

Purpose of the Study:

  • To develop a computational method that accurately describes the electronic structure of heavy elements.
  • To incorporate both relativistic effects and electron correlation within a unified theoretical framework.
  • To apply the developed method to challenging chemical systems, including fine structure splitting and heavy element ions.

Main Methods:

  • A two-component Kramers-unrestricted multireference configuration interaction method is presented.
  • Relativistic effects are included variationally using the 'exact two-component' transformation of the Dirac equation.
  • The method is implemented within the restricted active space framework for efficiency and flexibility in defining the active space and excitation levels.

Main Results:

  • The developed method successfully incorporates relativistic and electron correlation effects for accurate electronic structure calculations.
  • The restricted active space framework enhances the efficiency of generating and managing electronic configurations.
  • The method was applied to study fine structure splitting in p-block and d-block elements and the uranium(V) ion.

Conclusions:

  • The new computational approach provides an accurate and efficient means to study the electronic structure of heavy elements and their complexes.
  • This method overcomes limitations of previous approaches in handling multiconfiguration and relativistic effects simultaneously.
  • The successful application to challenging systems demonstrates the method's potential for advancing research in heavy element chemistry.