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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...
Extraction: Partition and Distribution Coefficients01:14

Extraction: Partition and Distribution Coefficients

The distribution law or Nernst's distribution law is the law that governs the distribution of a solute between two immiscible solvents. This law, also known as the partition law, states that if a solute is added to the mixture of two immiscible solvents at a constant temperature, the solute is distributed between the two solvents in such a way that the ratio of solute concentrations in the solvents remains constant at equilibrium.
For extracting a solute from an aqueous phase into an organic...
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,...
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,...
Properties of DTFT I01:24

Properties of DTFT I

In signal processing, Discrete-Time Fourier Transforms (DTFTs) play a critical role in analyzing discrete-time signals in the frequency domain. Various properties of the DTFTs such as linearity, time-shifting, frequency-shifting, time reversal, conjugation, and time scaling help understand and manipulate these signals for different applications.
The linearity property of DTFTs is fundamental. If two discrete-time signals are multiplied by constants a and b respectively, and then combined to...
The Debye–Hückel Theory of Electrolyte Solutions01:27

The Debye–Hückel Theory of Electrolyte Solutions

The Debye–Hückel theory, established by Peter Debye and Erich Hückel in 1923, is a fundamental concept in physical chemistry. It provides an understanding of the behavior of strong electrolytes in solution, particularly explaining their deviations from ideal behavior.The theory is based on Coulombic interactions (the attraction or repulsion between charged particles) between ions in solution. In an ionic solution, oppositely charged ions tend to attract each other. This means that cations...

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Updated: Jul 8, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

Multicoefficient density functional theory (MC-DFT).

Jien-Lian Chen1, Yi-Lun Sun, Kuo-Jui Wu

  • 1Department of Chemistry and Biochemistry, National Chung Cheng University, Chia-Yi 621, Taiwan.

The Journal of Physical Chemistry. A
|January 17, 2008
PubMed
Summary
This summary is machine-generated.

Hybrid density functional methods improve molecular energy calculations when using multiple basis sets. Scaling basis set corrections is crucial for accurate density functional theory (DFT) computations.

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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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Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

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Last Updated: Jul 8, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
10:52

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

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Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
08:04

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

Area of Science:

  • Computational Chemistry
  • Quantum Chemistry

Background:

  • Density Functional Theory (DFT) is a cornerstone of modern computational chemistry.
  • Accurate calculation of molecular energies is essential for predicting chemical properties and reaction pathways.

Purpose of the Study:

  • To systematically evaluate the performance of various pure and hybrid density functional methods.
  • To investigate the impact of combining multiple basis sets on calculation accuracy.
  • To determine the importance of basis set correction scaling in DFT.

Main Methods:

  • Testing multiple pure and hybrid density functional approximations.
  • Employing combinations of different basis sets (e.g., cc-pVDZ, cc-pVTZ, aug-cc-pVDZ).
  • Calculating various molecular energy types, including atomization energies and barrier heights.

Main Results:

  • Hybrid functionals generally outperform single basis set methods.
  • Basis set correction scaling significantly impacts DFT accuracy.
  • The B1B95 functional with a specific basis set combination achieved 1.76 kcal/mol average accuracy.

Conclusions:

  • Hybrid density functionals combined with multiple basis sets offer improved accuracy for molecular energy calculations.
  • Optimizing basis set usage and corrections is vital for high-fidelity DFT results.
  • The B1B95 functional demonstrates state-of-the-art performance for the tested molecular properties.