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Related Concept Videos

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,...
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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...
Kohlraush’s Law and its Applications01:29

Kohlraush’s Law and its Applications

Kohlrausch's law explains that at infinite dilution, where dissociation is complete, each ion's contribution to the conductivity of the electrolyte is independent of the nature of other ions present in the solution. It also implies that when an electrolyte is highly diluted, the conductance of the electrolyte is the sum of the individual conductances of the ions it generates upon dissociation. The quantity of electricity an ion carries is proportional to its molar ionic conductance, which...
Electrochemical Systems01:24

Electrochemical Systems

Electrochemical systems provide a fascinating insight into the dynamic interplay of charged species within various phases. One notable example is the interaction between a membrane permeable to K⁺ ions but not to Cl⁻ ions, separating an aqueous KCl solution from pure water. As K⁺ ions diffuse through the membrane, they generate net charges on each phase, leading to a potential difference between them.Similarly, when a piece of Zn is immersed in an aqueous ZnSO₄ solution, the Zn metal, composed...
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,...
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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra. Schrödinger...

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Related Experiment Video

Updated: Jun 2, 2026

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

Published on: June 8, 2022

Delta-Augmented Subsystem Density Functional Theory: A Study Across Diverse Systems.

Michela Pauletti1,2, Marcella Iannuzzi3, Vladimir V Rybkin4,5

  • 1Physical Chemistry Institute, University of Zurich, Winterthurerstrasse 190, Zurich, Switzerland. michela.pauletti@live.it.

Chimia
|June 1, 2026
PubMed
Summary
This summary is machine-generated.

The Kim-Gordon (KG) method, enhanced with machine learning, accurately simulates molecular systems at lower computational costs. This approach shows broad applicability to complex liquids and transferable corrections for molecular dynamics simulations.

Keywords:
Delta-learningKim-Gordon methodMachine-learning potentialsMolecular liquidsSubsystem DFT

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Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
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Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

Area of Science:

  • Computational chemistry
  • Materials science
  • Quantum mechanics

Background:

  • Density Functional Theory (DFT) methods are computationally expensive for large molecular systems.
  • Subsystem DFT approaches offer a way to reduce computational cost but often lack accuracy.
  • Machine learning (ML) corrections show promise for improving DFT accuracy.

Purpose of the Study:

  • To benchmark and expand the applicability of the Kim-Gordon (KG) method, a subsystem DFT approach with ML corrections.
  • To assess the performance of the KG method for complex molecular liquids beyond water.
  • To evaluate the transferability of ML-derived corrections.

Main Methods:

  • The study utilizes 'delta-learning' to train ML corrections based on Kohn-Sham (KS) DFT data.
  • The KG method is applied to condensed molecular systems, including bulk ammonia and methanol.
  • The approach is combined with linear-scaling self-consistent field (LS-SCF) techniques.

Main Results:

  • The KG method with ML corrections achieves Kohn-Sham DFT accuracy at a fraction of the computational cost.
  • Successful application to complex molecular liquids like ammonia and methanol demonstrates broad applicability.
  • ML corrections trained on bulk data showed transferability to molecular clusters.

Conclusions:

  • The Kim-Gordon method with ML corrections is a computationally efficient tool for molecular dynamics.
  • The 'delta-learning' approach significantly reduces the need for training data.
  • The method offers a viable pathway for accurate simulations of complex molecular systems.