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Kohlraush’s Law and its Applications01:29

Kohlraush’s Law and its Applications

Kohlrausch's law explains that at infinite dilution, where dissociation is complete, each ion's contribution to the conductivity of the electrolyte is independent of the nature of other ions present in the solution. It also implies that when an electrolyte is highly diluted, the conductance of the electrolyte is the sum of the individual conductances of the ions it generates upon dissociation. The quantity of electricity an ion carries is proportional to its molar ionic conductance, which...
Imperfections in Crystal Structure: Stoichiometric Point Defects01:26

Imperfections in Crystal Structure: Stoichiometric Point Defects

Schottky defects arise when some lattice points in a crystal, such as those in NaCl, remain unoccupied, creating lattice vacancies without disturbing the overall electrical neutrality of the crystal. This defect is common in ionic crystals where the positive and negative ions are similar in size, as seen in sodium chloride and cesium chloride. The presence of Schottky defects enables the crystal to conduct electricity to a small extent through an ionic mechanism. Electric fields cause nearby...
Imperfections in Crystal Structure: Point, Line and Plane Defects01:25

Imperfections in Crystal Structure: Point, Line and Plane Defects

A perfect crystal, in theory, has a uniform structure with the same unit cell and lattice points throughout. However, any deviation from this periodic arrangement is known as an imperfection or defect. These defects can be categorized into three types: point, line, and plane defects.Point defects occur when there is a deviation from the ideal due to missing atoms, displaced atoms, or additional atoms. These imperfections might occur due to imperfect packing during crystallization or because of...
Imperfections in Crystal Structure: Non-Stoichiometric Defects01:29

Imperfections in Crystal Structure: Non-Stoichiometric Defects

Non-stoichiometric defects refer to a type of defect in the crystal structure of a compound where the ratio of its constituent elements deviates from the ideal stoichiometric ratio. There are two main types of non-stoichiometric defects: metal excess defects and metal deficiency defects.Metal excess defects occur when there is a slight surplus of metal ions than what is required by the stoichiometric ratio of the compound. For example, heating a sodium chloride crystal in sodium vapor results...
Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
X-ray Crystallography02:18

X-ray Crystallography

The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...

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Related Experiment Video

Updated: May 22, 2026

Fluid-cell Raman Spectroscopy for operando Studies of Reaction and Transport Phenomena during Silicate Glass Corrosion
06:48

Fluid-cell Raman Spectroscopy for operando Studies of Reaction and Transport Phenomena during Silicate Glass Corrosion

Published on: May 9, 2025

Glass: Kohlrausch exponent, fragility, anharmonicity.

J Rault1

  • 1Physique des Solides, Université de Paris-Sud, Orsay, France. rault@lps.u-psud.fr

The European Physical Journal. E, Soft Matter
|April 25, 2012
PubMed
Summary

This study models glass properties using a generalized activation energy relationship, linking relaxation to liquid-state thermodynamics. Key findings reveal Grüneisen parameter and Mean Square Displacement govern glass relaxation, correlating fragility with interatomic anharmonicity.

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Cooling Rate Dependent Ellipsometry Measurements to Determine the Dynamics of Thin Glassy Films
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Last Updated: May 22, 2026

Fluid-cell Raman Spectroscopy for operando Studies of Reaction and Transport Phenomena during Silicate Glass Corrosion
06:48

Fluid-cell Raman Spectroscopy for operando Studies of Reaction and Transport Phenomena during Silicate Glass Corrosion

Published on: May 9, 2025

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses

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Cooling Rate Dependent Ellipsometry Measurements to Determine the Dynamics of Thin Glassy Films
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Cooling Rate Dependent Ellipsometry Measurements to Determine the Dynamics of Thin Glassy Films

Published on: January 26, 2016

Area of Science:

  • Materials Science
  • Thermodynamics
  • Condensed Matter Physics

Background:

  • Glass exhibits complex thermodynamical and mechanical properties governed by relaxation dynamics.
  • Understanding the behavior of fragile and strong glasses is crucial for materials science applications.

Purpose of the Study:

  • To model the thermodynamical and mechanical properties of glasses using a generalized activation energy relationship.
  • To establish consistency relationships for glass relaxation phenomena and explore correlations between various parameters.

Main Methods:

  • Modeling glass-forming liquids based on a generalized activation energy relationship (modified VFT law).
  • Calculating relaxation of properties (volume, enthalpy, stress, creep) approximated by the Kohlrausch function.
  • Analyzing consistency relationships for Kohlrausch exponent, stabilization time, and activation parameters.

Main Results:

  • The model predicts consistency relationships for temperature/aging time variation of the Kohlrausch exponent and stabilization time domains.
  • Lawson and Keyes (LK) relations are observed generally in glass, with macroscopic and microscopic ratios equaling κγ.
  • Grüneisen parameter (γ(B)) and Mean Square Displacement (MSD) are identified as key parameters governing glass relaxation properties.

Conclusions:

  • The Grüneisen parameter and MSD characterize anharmonicity and govern glass relaxation.
  • Linear relations between γ(B), fragility (m), and Kohlrausch exponent (n(g)) are explained.
  • Glass former fragility strongly correlates with the extent of anharmonicity in interatomic interactions.