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Valence Bond Theory02:42

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Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
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Atomic Nuclei: Nuclear Spin State Population Distribution01:14

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Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
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¹H NMR: Interpreting Distorted and Overlapping Signals01:02

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Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
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Color in Coordination Complexes
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NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of...
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Density00:56

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Density is an important characteristic of substances, crucial in determining whether an object sinks or floats in a fluid. Its SI unit is kg/m3, and its cgs unit is g/cm3. The density of an object helps in identifying its composition, and also reveals information about the phase of the matter and its substructure. The densities of liquids and solids are roughly comparable, consistent with the fact that their atoms are in close contact. However, gases have much lower densities than liquids and...
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Subsystem density-functional theory: A reliable tool for spin-density based properties.

Patrick Eschenbach1, Johannes Neugebauer1

  • 1Theoretische Organische Chemie, Organisch-Chemisches Institut and Center for Multiscale Theory and Simulation, Westfälische Wilhelms-Universität Münster, Corrensstraße 36, 48149 Münster, Germany.

The Journal of Chemical Physics
|October 8, 2022
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Summary
This summary is machine-generated.

Subsystem density-functional theory (DFT) offers an efficient method for calculating properties of large radical systems. This approach overcomes Kohn-Sham DFT limitations for open-shell systems, paving the way for advanced applications.

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Area of Science:

  • Computational chemistry
  • Quantum chemistry
  • Materials science

Background:

  • Open-shell radical systems (e.g., organic crystals, proteins, DNA) present computational challenges.
  • Correlated ab initio wave function methods are computationally expensive.
  • Standard Kohn-Sham DFT struggles with overdelocalization in radical systems.

Purpose of the Study:

  • To review the capabilities of subsystem density-functional theory (DFT) for open-shell systems.
  • To identify open questions and future research directions.
  • To highlight applications in spin-dependent properties.

Main Methods:

  • Subsystem DFT methods are presented as a computationally efficient alternative.
  • The approach avoids hard constraints on electron density.
  • It preserves predefined subsystem spin-patterns by starting from isolated fragment densities.

Main Results:

  • Subsystem DFT provides a pragmatic solution to the overdelocalization problem.
  • It is less computationally demanding than correlated ab initio methods.
  • The methods are crucial for describing open-shell properties.

Conclusions:

  • Subsystem DFT is a rapidly developing and important tool for open-shell systems.
  • Further development is needed for challenging future applications.
  • The focus is on advancing spin-dependent property calculations.