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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...
Properties of Transition Metals02:58

Properties of Transition Metals

Transition metals are defined as those elements that have partially filled d orbitals. As shown in Figure 1, the d-block elements in groups 3–12 are transition elements. The f-block elements, also called inner transition metals (the lanthanides and actinides), also meet this criterion because the d orbital is partially occupied before the f orbitals.
Periodic Classification of the Elements04:00

Periodic Classification of the Elements

The periodic table arranges atoms based on increasing atomic number so that elements with the same chemical properties recur periodically. When their electron configurations are added to the table, a periodic recurrence of similar electron configurations in the outer shells of these elements is observed. Because they are in the outer shells of an atom, valence electrons play the most important role in chemical reactions. The outer electrons have the highest energy of the electrons in an atom...
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...
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,...
Atomic Orbitals02:44

Atomic Orbitals

An atomic orbital represents the three-dimensional regions in an atom where an electron has the highest probability to reside. The radial distribution function indicates the total probability of finding an electron within the thin shell at a distance r from the nucleus. The atomic orbitals have distinct shapes which are determined by l, the angular momentum quantum number. The orbitals are often drawn with a boundary surface, enclosing densest regions of the cloud.

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Quantitative Atomic-Site Analysis of Functional Dopants/Point Defects in Crystalline Materials by Electron-Channeling-Enhanced Microanalysis
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Density functional localized orbital corrections for transition metals.

David Rinaldo1, Li Tian, Jeremy N Harvey

  • 1Department of Chemistry and Center for Biomolecular Simulation, Columbia University, New York, New York 10027, USA.

The Journal of Chemical Physics
|December 3, 2008
PubMed
Summary
This summary is machine-generated.

A new localized orbital correction model enhances B3LYP thermochemical predictions for transition metal compounds. This model significantly reduces errors in atomic and bond energies, improving computational accuracy.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Materials Science

Background:

  • Accurate thermochemical predictions are crucial for understanding chemical reactions and material properties.
  • Standard computational methods like B3LYP often exhibit inaccuracies for transition metal compounds.
  • Developing improved models is essential for reliable theoretical chemistry research.

Purpose of the Study:

  • To develop and validate a localized orbital correction model for B3LYP calculations.
  • To enhance the accuracy of thermochemical predictions, specifically for transition metal-containing molecules.
  • To provide a more reliable computational tool for chemists and material scientists.

Main Methods:

  • Development of a correction model using a dataset of 36 experimental atomic energies and 71 bond dissociation energies.
  • Application of B3LYP calculations with varying basis sets to the dataset.
  • Electronic structure analysis and physical arguments to derive 10 atomic and 21 bond dissociation energy correction parameters.

Main Results:

  • The B3LYP localized orbital correction model reduced mean absolute deviation for atomic data from 7.7 to 0.4 kcal/mol.
  • The model decreased mean absolute deviation for bond dissociation energies from 5.3 to 1.7 kcal/mol.
  • The model demonstrated accuracy across different basis sets and identified an experimental data outlier.

Conclusions:

  • The developed localized orbital correction model significantly improves B3LYP thermochemical accuracy for transition metal compounds.
  • This model offers a more reliable and accurate computational approach for studying these important chemical systems.
  • The validated model can aid in predicting chemical properties and guiding experimental investigations.