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Chemical and Solubility Equilibria02:21

Chemical and Solubility Equilibria

The free energy change associated with dissolving a solute in a liter of solvent is called the free energy of a solution, ΔGsolution. The overall ΔGsolution is expressed as the balance of ΔGinteraction against the always-favorable free-energy of mixing, ΔGmixing. Solution formation is favorable if  ΔGsolution is less than zero, whereas it is unfavorable if ΔGsolution is greater than zero. In short, for a solution to form and complete dissolution to take place, the Gibbs energy change must be...
Solubility03:00

Solubility

Solution, Solubility, and Solubility Equilibrium
A solution is a homogeneous mixture composed of a solvent, the major component, and a solute, the minor component. The physical state of a solution—solid, liquid, or gas—is typically the same as that of the solvent. Solute concentrations are often described with qualitative terms such as dilute (of relatively low concentration) and concentrated (of relatively high concentration).
In a solution, the solute particles (molecules, atoms, and/or ions)...
Entropy and Solvation02:05

Entropy and Solvation

The process of surrounding a solute with solvent is called solvation. It involves evenly distributing the solute within the solvent. The rule of thumb for determining a solvent for a given compound is that like dissolves like. A good solvent has molecular characteristics similar to those of the compound to be dissolved. For example, polar solutions dissolve polar solutes, and apolar solvents dissolve apolar solutes. A polar solvent is a solvent that has a high dielectric constant (ϵ ≥ 15); an...
Solubility Equilibria: Overview01:09

Solubility Equilibria: Overview

When a substance such as sodium chloride is added to water, it dissolves, forming an aqueous solution. The extent of dissolution is called solubility. The process of dissolution can exist in equilibrium, just like other chemical processes. Solubility equilibria are also called precipitation equilibria because the process of solubility can be reversible. The reverse of the solubility process is called precipitation.
Solubility is important in biological and environmental processes. A notable...
Solubility Equilibria03:07

Solubility Equilibria

Solubility equilibria are established when the dissolution and precipitation of a solute species occur at equal rates. These equilibria underlie many natural and technological processes, ranging from tooth decay to water purification. An understanding of the factors affecting compound solubility is, therefore, essential to the effective management of these processes. This section applies previously introduced equilibrium concepts and tools to systems involving dissolution and precipitation.
The...
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...

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Unraveling Entropic Rate Acceleration Induced by Solvent Dynamics in Membrane Enzymes
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Optimal diabatic states based on solvation parameters.

Ethan Alguire1, Joseph E Subotnik

  • 1Department of Chemistry, 231 S. 34th Street, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, USA. alguire@sas.upenn.edu

The Journal of Chemical Physics
|November 28, 2012
PubMed
Summary
This summary is machine-generated.

A new Edmiston-Ruedenberg (ER)-ε diabatization method accurately obtains molecular diabatic states in condensed environments. This technique improves upon prior methods by considering energy separation and system-solvent interactions for optimal diabatic states.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Theoretical Chemistry

Background:

  • Accurate diabatic electronic states are crucial for understanding molecular dynamics in condensed phases.
  • Previous diabatization methods often struggle with accurately representing states in complex environments.

Purpose of the Study:

  • To introduce and evaluate a novel method, Edmiston-Ruedenberg (ER)-ε diabatization, for obtaining diabatic states in condensed environments.
  • To demonstrate the advantages of ER-ε diabatization over existing techniques.

Main Methods:

  • The ER-ε diabatization method constructs diabatic states by linearly combining adiabatic states.
  • Minimization of an approximate total coupling between states is performed within a medium characterized by temperature (T) and Pekar factor (C).
  • The method incorporates parameters for the dielectric constant and temperature of the medium to account for system-solvent interactions.

Main Results:

  • ER-ε diabatization is sensitive to the energy separation between adiabatic states, preventing over-mixing.
  • The method effectively accounts for system-solvent interactions through adjustable parameters.
  • Applied to excitation energy transfer systems, ER-ε diabatic states exhibit small derivative couplings and negligible couplings at non-avoided crossings.

Conclusions:

  • ER-ε diabatization provides a robust and physically reasonable approach for obtaining high-quality diabatic states in condensed phases.
  • The developed states satisfy key properties of optimal diabatic states, making them suitable for various theoretical applications.
  • This method offers significant improvements for modeling molecular processes in solution and other condensed media.