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Related Concept Videos

Van der Waals Interactions01:24

Van der Waals Interactions

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.
Crystal Density01:19

Crystal Density

The crystal lattice structure of a material allows us to determine how many molecules exist in its unit cell. With this information, alongside the unit-cell parameters - three distance parameters (a, b, c) and three angular parameters (α, β, γ).Density (ρ) = (Z × M) / (a × b × c × NA)where:Z is the number of formula units per unit cellM is the molar mass of the substancea, b, and c are the edge lengths of the unit cellNA is Avogadro’s numberFor a simple cubic lattice, atoms are located only at...
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

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.
Van der Waals Equation01:10

Van der Waals Equation

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 volume...
The Van der Waals Equation01:26

The Van der Waals Equation

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,...
The de Broglie Wavelength02:32

The de Broglie Wavelength

In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...

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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

Water clusters to nanodrops: a tight-binding density functional study.

Pere Miró1, Christopher J Cramer

  • 1University of Minnesota, Chemical Theory Centre, and Minnesota Supercomputing Institute, 207 Pleasant St. SE, Minneapolis, MN 55455-0431, USA. p.miro@jacobs-university.de

Physical Chemistry Chemical Physics : PCCP
|December 19, 2012
PubMed
Summary
This summary is machine-generated.

We accurately predict water cluster structures and energies using tight-binding density functional theory (DFTB) with a simple hydrogen bond correction. This method is significantly faster than traditional approaches, making it practical for large systems.

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Area of Science:

  • Computational chemistry
  • Physical chemistry
  • Materials science

Background:

  • Accurate prediction of water cluster structures and energies is crucial for understanding various chemical and physical processes.
  • Traditional methods like density functional theory (DFT) and wave function theory (WFT) can be computationally expensive for large systems.

Purpose of the Study:

  • To evaluate the accuracy of tight-binding density functional theory (DFTB) for predicting the structures and energies of water clusters up to 100 water molecules.
  • To develop a correction method to improve the accuracy of DFTB energies.

Main Methods:

  • Utilized tight-binding density functional theory (DFTB) for structural optimizations and energy calculations of water clusters.
  • Developed and applied a per-hydrogen-bond energy correction to systematically improve DFTB energies.
  • Compared DFTB results with high-level density functional theory (DFT) and wave function theory (WFT) calculations.

Main Results:

  • DFTB, with the proposed hydrogen bond correction, accurately predicts water cluster structures and energies.
  • The corrected DFTB method achieves a root-mean-square difference of less than 1 kcal mol(-1) compared to highly accurate WFT values.
  • DFTB optimizations are orders of magnitude faster than DFT or canonical MP2 calculations.

Conclusions:

  • DFTB with a simple hydrogen bond correction is a highly accurate and computationally efficient method for studying large water clusters.
  • This approach offers a practical solution for predicting the properties of extended water systems, bridging the gap between accuracy and computational cost.