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Related Concept Videos

Thermodynamics: Activity Coefficient01:24

Thermodynamics: Activity Coefficient

Activity is the measure of the effective concentration of the species in solution. It can be expressed as the product of the molar concentration of the species and its activity coefficient. The activity coefficient is a dimensionless quantity and depends on the total ionic strength of the solution.
The activity coefficient is a measure of the deviation from ideal behavior. When the ionic strength of the solution is minimal, the activity coefficient of an ionic species is close to unity, making...
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...
Complexation Equilibria: Overview01:23

Complexation Equilibria: Overview

Complexation reactions take place when dative or coordinate covalent bonds form between metal ions and ligands. The compounds formed in these reactions are called coordination compounds. The number of bonds formed between the metal ion and the ligands is called its coordination number. Generally, most metal ions in an aqueous solution are solvated by water molecules and thus exist as aqua complexes.
The equilibrium constant of the complexation reaction is represented as the formation constant...
The Debye–Hückel Theory of Electrolyte Solutions01:27

The Debye–Hückel Theory of Electrolyte Solutions

The Debye–Hückel theory, established by Peter Debye and Erich Hückel in 1923, is a fundamental concept in physical chemistry. It provides an understanding of the behavior of strong electrolytes in solution, particularly explaining their deviations from ideal behavior.The theory is based on Coulombic interactions (the attraction or repulsion between charged particles) between ions in solution. In an ionic solution, oppositely charged ions tend to attract each other. This means that cations...
Factors Affecting Activity Coefficient01:17

Factors Affecting Activity Coefficient

The extended Debye-Hückel equation indicates that the activity coefficient of an ion in an aqueous solution at 25°C depends on three partially interdependent properties: the ionic strength of the solution, the charge of the ion, and the ion size. 
The activity coefficient value for an ion is close to one when the solution has almost zero ionic strength, i.e., when the solution shows close to ideal behavior. As the ionic strength of the solution increases from 0 to 0.1 mol/L, a decrease in the...
Calculating the Equilibrium Constant02:46

Calculating the Equilibrium Constant

The equilibrium constant for a reaction is calculated from the equilibrium concentrations (or pressures) of its reactants and products. If these concentrations are known, the calculation simply involves their substitution into the Kc expression.
For example, gaseous nitrogen dioxide forms dinitrogen tetroxide according to this equation:

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Related Experiment Video

Updated: Jun 28, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
06:55

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

Diffusion coefficients and complex equilibria in solution-I theory: Diffusion coefficients of complex species.

D R Crow1

  • 1Department of Physical Sciences, The Polytechnic, Wolverhampton, England.

Talanta
|September 1, 1982
PubMed
Summary

This study demonstrates that metal complex formation constants in solution can be determined from diffusion coefficient values. A linear relationship was confirmed between diffusion coefficients and coordination numbers in successive complex formation.

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Area of Science:

  • Analytical Chemistry
  • Physical Chemistry
  • Coordination Chemistry

Background:

  • Metal complex formation is crucial in various chemical and biological processes.
  • Accurate determination of formation constants is essential for understanding these systems.
  • Existing methods for determining formation constants can be complex and time-consuming.

Purpose of the Study:

  • To investigate the possibility of deriving metal complex formation constants from diffusion coefficient measurements.
  • To explore the relationship between diffusion coefficients and coordination numbers in complex systems.
  • To validate a novel approach for formation constant determination.

Main Methods:

  • Utilizing diffusion coefficient data obtained through experimental measurements.
  • Applying mathematical analysis to correlate diffusion coefficients with complex formation.
  • Investigating systems with successively formed metal complexes.

Main Results:

  • Demonstrated the principle of calculating formation constants from diffusion coefficients.
  • Confirmed a linear correlation between the square root of diffusion coefficients and coordination numbers.
  • Identified instances where previously reported formation constant data may require revision.

Conclusions:

  • Diffusion coefficient measurements offer a viable method for determining metal complex formation constants.
  • The established linear relationship provides a new tool for complex system analysis.
  • This approach can refine existing thermodynamic data for metal complexes.