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Related Concept Videos

Equilibrium Conditions for a Particle01:23

Equilibrium Conditions for a Particle

When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
Chemical Equilibria: Systematic Approach to Equilibrium Calculations01:21

Chemical Equilibria: Systematic Approach to Equilibrium Calculations

Equilibrium calculations for systems involving multiple equilibria are often complex. For example, to calculate the solubility of a sparingly soluble salt in an aqueous solution in the presence of a common ion, one must consider all the equilibria in this solution. Calculations for these systems can be complicated and tedious, so a systematic approach with a series of steps is often helpful. The process is detailed below.
The first step is to identify all the chemical reactions involved, The...
First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If we...
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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Stability of Equilibrium Configuration

Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
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Updated: May 17, 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

A one-parameter quantum cluster equilibrium approach.

Marc Brüssel1, Eva Perlt, Michael von Domaros

  • 1Wilhelm-Ostwald-Institut für Physikalische und Theoretische Chemie, Universität Leipzig, Linnéstr. 2, D-04103 Leipzig, Germany.

The Journal of Chemical Physics
|November 7, 2012
PubMed
Summary
This summary is machine-generated.

This study refines the quantum cluster equilibrium approach by simplifying its equations and introducing new temperature-dependent functions. These advancements improve the modeling of liquid phase properties and evaporation for systems like hydrogen fluoride and water.

Related Experiment Videos

Last Updated: May 17, 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

Area of Science:

  • Physical Chemistry
  • Computational Chemistry
  • Quantum Mechanics

Background:

  • The quantum cluster equilibrium (QCE) approach is a key method for studying molecular systems.
  • Existing QCE models often rely on empirical parameters, limiting their predictive power.

Purpose of the Study:

  • To develop a more efficient and accurate quantum cluster equilibrium approach.
  • To introduce novel temperature-dependent mean field functions for improved interaction modeling.
  • To validate the refined approach using hydrogen fluoride and water systems.

Main Methods:

  • Reformulation of quantum cluster equilibrium equations to a one-parameter expression.
  • Development and implementation of two new temperature-dependent mean field functions.
  • Application to liquid phase properties and evaporation phenomena of hydrogen fluoride and water.
  • Comparison of results with conventional methods and experimental data.

Main Results:

  • The reformulated QCE approach successfully reduced the number of empirical parameters.
  • New temperature-dependent functions provided accurate thermodynamic data for liquid phase properties.
  • The refined model showed good agreement with experimental data for evaporation phenomena.
  • Comparison highlighted the advantages of the new mean field functions over the conventional approach.

Conclusions:

  • The developed quantum cluster equilibrium approach offers a more streamlined and accurate method for molecular simulations.
  • Temperature-dependent mean field functions significantly enhance the modeling of complex systems.
  • This work provides a validated computational tool for investigating liquid phase properties and phase transitions.