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Related Concept Videos

Valence Bond Theory02:42

Valence Bond Theory

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

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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,...
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Color in Coordination Complexes
When atoms or molecules absorb light at the proper frequency, their electrons are excited to higher-energy orbitals. For many main group atoms and molecules, the absorbed photons are in the ultraviolet range of the electromagnetic spectrum, which cannot be detected by the human eye. For coordination compounds, the energy difference between the d orbitals often allows photons in the visible range to be absorbed and emitted, which is seen as colors by the human...
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Coordination Number and Geometry02:57

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For transition metal complexes, the coordination number determines the geometry around the central metal ion. Table 1 compares coordination numbers to molecular geometry. The most common structures of the complexes in coordination compounds are octahedral, tetrahedral, and square planar.
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Complexation Equilibria: Factors Influencing Stability of Complexes01:09

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In complexation reactions, metal cations are the electron pair acceptors, and the ligands are the electron pair donors. The stability of the metal complexes depends primarily on the complexing ability of the central metal ion and the nature of the ligands. Generally, the complexing ability of the metal ion depends on the size and charge of the ion. As the metal ion size increases, the stability of the metal complexes decreases, provided that the valency of the metal ion and the ligands remain...
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Machine Learning Parameters of Optimally Tuned Range-Separated Hybrid Functionals for Transition Metal Complexes.

Xiang-Yang Liu1, Qing-Xin Xiang2, Sheng-Rui Wang2

  • 1College of Chemistry and Material Science, Sichuan Normal University, Chengdu 610068, China.

The Journal of Physical Chemistry Letters
|September 8, 2025
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This study introduces a machine learning (ML) model to predict optimal parameters for range-separated hybrid functionals in transition metal complexes (TMCs). This approach significantly reduces computational cost while maintaining accuracy for electronic structure predictions.

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Area of Science:

  • Computational Chemistry
  • Materials Science
  • Machine Learning

Background:

  • Optimally tuned range-separated hybrid (OT-RSH) functionals offer high accuracy for electronic structure calculations.
  • Determining optimal parameters for these functionals can be computationally expensive, especially for large systems like transition metal complexes (TMCs).
  • Developing efficient methods to predict these parameters is crucial for accelerating materials discovery.

Purpose of the Study:

  • To develop a machine learning (ML) approach for predicting optimal range separation parameters in TMCs.
  • To reduce the computational cost of electronic structure calculations using OT-RSH functionals.
  • To enable accurate and efficient high-throughput screening of TMCs for optoelectronic applications.

Main Methods:

  • A dataset of 4380 TMCs was compiled from the tmQM database.
  • Each TMC was represented by a 62,087-dimensional multiple-fingerprint feature (MFF) vector.
  • Support vector machine (SVM) regression models were trained to predict the optimal range separation parameter.

Main Results:

  • The developed machine-learned functional, ML-LC-PBE0*, predicts ionization potentials comparable to fully tuned calculations.
  • This ML approach significantly reduces computational cost compared to traditional methods.
  • ML-LC-PBE0* demonstrates superior performance over conventional global and fixed-parameter RSH functionals when compared to DLPNO-CCSD(T) reference values.

Conclusions:

  • The ML approach provides an efficient and accurate framework for predicting optimal parameters in RSH functionals for TMCs.
  • This method facilitates high-throughput screening and electronic structure prediction.
  • The findings pave the way for discovering novel TMC-based optoelectronic materials.