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Related Concept Videos

Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
Debye–Huckel–Onsager Conductance Equation01:28

Debye–Huckel–Onsager Conductance Equation

The Debye-Hückel-Onsager equation is a cornerstone of physical chemistry, providing a method to determine the molar conductance (Λm) and molar conductance at infinite dilution (Λ°m) for uni-univalent electrolytes.Uni-univalent electrolytes are electrolytes that dissociate in solution to produce one cation with a +1 charge and one anion with a –1 charge per formula unit.This equation addresses two crucial phenomena: the asymmetry effect and the electrophoretic effect. According to this equation,...
MO Theory and Covalent Bonding02:40

MO Theory and Covalent Bonding

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...
Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

Crystal Field Theory - Tetrahedral and Square Planar Complexes

Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
Molecular Geometry and Dipole Moments02:36

Molecular Geometry and Dipole Moments

The VSEPR theory can be used to determine the electron pair geometries and molecular structures as follows:
Valence Bond Theory02:42

Valence Bond Theory

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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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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Published on: April 8, 2020

Configuration interaction based on constrained density functional theory: a multireference method.

Qin Wu1, Chiao-Lun Cheng, Troy Van Voorhis

  • 1Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA. qinwu@mit.edu

The Journal of Chemical Physics
|November 6, 2007
PubMed
Summary

This study introduces a new computational method combining configuration interaction and density functional theory to accurately model complex chemical systems. The approach effectively handles both static and dynamic correlation, improving predictions for bond breaking and formation.

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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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Thermochemical Studies of Ni(II) and Zn(II) Ternary Complexes Using Ion Mobility-Mass Spectrometry
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Thermochemical Studies of Ni(II) and Zn(II) Ternary Complexes Using Ion Mobility-Mass Spectrometry

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Area of Science:

  • Quantum Chemistry
  • Computational Chemistry
  • Materials Science

Background:

  • Density Functional Theory (DFT) excels at dynamic correlation but struggles with static correlation in near-degenerate systems.
  • Static correlation is crucial for accurately describing bond breaking and forming processes.
  • Existing methods often fail to capture the nuances of both correlation types simultaneously.

Purpose of the Study:

  • To develop a novel computational method integrating Configuration Interaction (CI) and DFT.
  • To accurately treat systems dominated by static correlation using a multireference approach.
  • To improve the description of chemical bond dynamics.

Main Methods:

  • A constrained DFT approach is used to create localized charge or spin states for an active space.
  • An effective Hamiltonian matrix is constructed within this localized active space.
  • A Configuration Interaction (CI) step is applied to recover static correlation from localized reference states.

Main Results:

  • The proposed method successfully treats static correlation using localized configurations.
  • Dynamic correlation is efficiently captured by incorporating DFT functionals.
  • Accurate ground-state dissociation curves for H(2)(+), H(2), and LiF were obtained, validating the approach.

Conclusions:

  • The new CI-DFT method offers a robust way to handle both static and dynamic correlation.
  • This technique provides accurate descriptions of bond breaking and forming, crucial for chemical reaction studies.
  • The method shows significant promise for advancing computational chemistry and materials science.