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Related Concept Videos

Van der Waals Interactions01:24

Van der Waals Interactions

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Atoms and molecules interact with each other through intermolecular forces. These electrostatic forces arise from attractive or repulsive interactions between particles with permanent, partial, or temporary charges. The intermolecular forces between neutral atoms and molecules are ion–dipole, dipole–dipole, and dispersion forces, collectively known as van der Waals forces.
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The Van der Waals Equation01:26

The Van der Waals Equation

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The ideal gas law is based on two simplifying assumptions: first, that there are no intermolecular attractions between gas molecules, and second, that the volume occupied by the molecules themselves is negligible compared with the volume of the container. However, these assumptions don't hold up under all conditions - specifically, at high pressures and low temperatures, as gas tends to deviate from ideal gas behavior.The van der Waals equation is an enhanced version of the ideal gas law,...
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Van der Waals Equation01:10

Van der Waals Equation

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The ideal gas law is an approximation that works well at high temperatures and low pressures. The van der Waals equation of state (named after the Dutch physicist Johannes van der Waals, 1837−1923) improves it by considering two factors.
First, the attractive forces between molecules, which are stronger at higher densities and reduce the pressure, are considered by adding to the pressure a term equal to the square of the molar density multiplied by a positive coefficient a. Second, the...
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Noncovalent Attractions in Biomolecules02:35

Noncovalent Attractions in Biomolecules

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Noncovalent attractions are associations within and between molecules that influence the shape and structural stability of complexes. These interactions differ from covalent bonding in that they do not involve sharing of electrons.
Four types of noncovalent interactions are hydrogen bonds, van der Waals forces, ionic bonds, and hydrophobic interactions.
Hydrogen bonding results from the electrostatic attraction of a hydrogen atom covalently bonded to a strong-electronegative atom like oxygen,...
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Noncovalent Attractions in Biomolecules02:35

Noncovalent Attractions in Biomolecules

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Real Gases: Effects of Intermolecular Forces and Molecular Volume Deriving Van der Waals Equation04:01

Real Gases: Effects of Intermolecular Forces and Molecular Volume Deriving Van der Waals Equation

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Thus far, the ideal gas law, PV = nRT, has been applied to a variety of different types of problems, ranging from reaction stoichiometry and empirical and molecular formula problems to determining the density and molar mass of a gas. However, the behavior of a gas is often non-ideal, meaning that the observed relationships between its pressure, volume, and temperature are not accurately described by the gas laws.
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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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Minimizing density functional failures for non-covalent interactions beyond van der Waals complexes.

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Summary

This study introduces new dispersion corrections for density functional theory, significantly improving the accuracy of calculating molecular interactions. These methods enhance predictions for both weak and strong interactions, crucial for materials science.

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Area of Science:

  • Computational chemistry
  • Quantum mechanics
  • Materials science

Background:

  • Kohn-Sham density functional theory (KS-DFT) is widely used for electronic structure calculations.
  • Semilocal approximations in KS-DFT struggle to accurately describe dispersion interactions, especially at longer distances.
  • Accurate modeling of weak interactions is essential for understanding molecular behavior and material properties.

Purpose of the Study:

  • To develop and implement improved dispersion corrections for KS-DFT.
  • To enhance the accuracy of inter- and intramolecular interaction energy calculations.
  • To provide guidance for future development of density functional approximations.

Main Methods:

  • Development of empirical and density-dependent dispersion corrections, including dD10 and dDsC.
  • Modification of the Tang and Toennies damping function and derivation of accurate dispersion coefficients.
  • Validation through reaction energies, geometries, molecular dynamics, and comparison with self-consistent methods.

Main Results:

  • Dispersion corrections, particularly dDsC, significantly improve interaction energy calculations for various density functionals.
  • The dDsC scheme demonstrates broad applicability and robustness across different molecular systems and interactions.
  • Analysis reveals the interplay between delocalization error and missing dispersion in standard functionals.

Conclusions:

  • The developed dispersion correction schemes substantially reduce errors in KS-DFT calculations.
  • Accurate description of dispersion interactions is crucial for reliable predictions in chemistry and materials science.
  • The study offers insights into functional development and the selection of appropriate density functionals for specific applications.