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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.
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Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the...
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Diffusion01:21

Diffusion

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Diffusion is a type of passive transport. In passive transport, a substance tends to move from an area of high concentration to an area of low concentration until the concentration is equal across the space. For example, take the diffusion of substances through the air. When someone opens a perfume bottle in a room filled with people, the perfume is at its highest concentration in the bottle and is at its lowest at the edges of the room. The perfume vapor will diffuse, or spread away, from the...
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Diffusion01:12

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Diffusion is the passive movement of substances down their concentration gradients—requiring no expenditure of cellular energy. Substances, such as molecules or ions, diffuse from an area of high concentration to an area of low concentration in the cytosol or across membranes. Eventually, the concentration will even out, with the substance moving randomly but causing no net change in concentration. Such a state is called dynamic equilibrium, which is essential for maintaining overall...
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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).
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Theories of Dissolution: Diffusion Layer Model01:15

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Dissolution, the process by which drug particles dissolve in a solvent, is explained by the diffusion layer model, a theoretical framework that simulates the absorption of oral drugs and allows us to analyze experimental data.
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Updated: Nov 16, 2025

Image Processing Protocol for the Analysis of the Diffusion and Cluster Size of Membrane Receptors by Fluorescence Microscopy
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Solvation effects on diffusion processes of a macromolecule: Accuracy required for radial distribution function to

Yuka Nakamura1, Akira Yoshimori2, Ryo Akiyama3

  • 1Interdisciplinary Program of Biomedical Engineering, Assistive Technology, and Art and Sports Sciences, Faculty of Engineering, Niigata University, Niigata 950-2181, Japan.

The Journal of Chemical Physics
|February 28, 2021
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Summary

The study reveals how solute solvation structure impacts particle diffusion. Modified HNC theory accurately predicts diffusion coefficients by closely matching Monte Carlo simulations for hard-sphere systems.

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Area of Science:

  • Physical Chemistry
  • Computational Chemistry
  • Statistical Mechanics

Background:

  • Solute diffusion is crucial in chemical processes.
  • Understanding solvation structure's role in diffusion is key.
  • Integral equation theories offer computational approaches.

Purpose of the Study:

  • To investigate the dependence of a large solute particle's diffusion coefficient on its solvation structure.
  • To evaluate the accuracy of different integral equation theories (PY, HNC, MHNC) in predicting diffusion coefficients.
  • To analyze the impact of solvent density distribution on solute diffusion in one-component and binary-solvent systems.

Main Methods:

  • Perturbation theory for large-particle diffusion.
  • Calculation of radial distribution functions using PY, HNC, and MHNC integral equation theories.
  • Comparison of theoretical results with Monte Carlo simulations.

Main Results:

  • In one-component solvents, diffusion coefficient correlates with the radial distribution function's first minimum.
  • MHNC closure shows good agreement with Monte Carlo simulations.
  • In binary solvents, diffusion is sensitive to the first peak's height/sharpness and first minimum's depth in the radial distribution function.
  • HNC closure predicts lower diffusion coefficients than MHNC due to a higher, sharper first peak.

Conclusions:

  • The modified HNC closure accurately models solute diffusion by reproducing Monte Carlo radial distribution functions.
  • Solvation structure, particularly short-range solvent density, significantly influences solute diffusion coefficients.
  • Integral equation theories provide valuable insights into particle diffusion, with MHNC showing superior performance.