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Related Concept Videos

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,...
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.
Trends in Lattice Energy: Ion Size and Charge02:54

Trends in Lattice Energy: Ion Size and Charge

An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

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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The elements in groups of the periodic table exhibit similar chemical behavior. This similarity occurs because the members of a group have the same number and distribution of electrons in their valence shells.

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Vibrational Spectra of a N719-Chromophore/Titania Interface from Empirical-Potential Molecular-Dynamics Simulation, Solvated by a Room Temperature Ionic Liquid
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Fully variational average atom model with ion-ion correlations.

C E Starrett1, D Saumon

  • 1Los Alamos National Laboratory, PO Box 1663, Los Alamos, New Mexico 87545, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 3, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces an average atom model for dense ionized fluids, incorporating ion correlations. The model accurately predicts plasma electronic and ionic structure and average ionization across temperatures and densities.

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Area of Science:

  • Plasma Physics
  • Computational Physics
  • Statistical Mechanics

Background:

  • Dense ionized fluids are crucial in astrophysics and inertial confinement fusion.
  • Existing average atom models often neglect ion correlations, limiting their accuracy at high densities.
  • Accurate modeling requires incorporating both electronic and ionic structure effects.

Purpose of the Study:

  • To develop a novel average atom model for dense ionized fluids that includes ion correlations.
  • To provide a self-consistent description of electronic and ionic structure and average ionization.
  • To establish a framework that can recover simpler models under specific assumptions.

Main Methods:

  • Utilizing density functional theory for a mixture of classical ions and quantum mechanical electrons.
  • Applying integral equations for uniform fluids and a variational principle to the grand potential.
  • Minimizing the grand potential to derive effective interaction potentials and self-consistent equations.

Main Results:

  • A closed set of equations was obtained by coupling the model to a system of point ions and electrons.
  • The model yields a self-consistent electronic and ionic structure for the plasma.
  • Average ionization was determined as a continuous function of temperature and density.

Conclusions:

  • The presented average atom model offers an improved description of dense ionized fluids by including ion correlations.
  • The model provides a unified approach to understanding plasma properties across various conditions.
  • It serves as a valuable tool for simulations in astrophysics and fusion research.