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Entropy02:39

Entropy

32.1K
Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
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Third Law of Thermodynamics02:38

Third Law of Thermodynamics

20.0K
A pure, perfectly crystalline solid possessing no kinetic energy (that is, at a temperature of absolute zero, 0 K) may be described by a single microstate, as its purity, perfect crystallinity,and complete lack of motion means there is but one possible location for each identical atom or molecule comprising the crystal (W = 1). According to the Boltzmann equation, the entropy of this system is zero.
20.0K
Entropy and Solvation02:05

Entropy and Solvation

7.5K
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...
7.5K
Polymer Classification: Crystallinity01:21

Polymer Classification: Crystallinity

3.4K
Unlike ionic or small covalent molecules, polymers do not form crystalline solids due to the diffusion limitations of their long-chain structures. However, polymers contain microscopic crystalline domains separated by amorphous domains.
Crystalline domains are the regions where polymer chains are aligned in an orderly manner and held together in proximity by intermolecular forces. For example, chains in the crystalline domains of polyethylene and nylon are bound together by van der Waals...
3.4K
Structures of Solids02:22

Structures of Solids

16.0K
Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
16.0K
The Second Law of Thermodynamics01:14

The Second Law of Thermodynamics

6.0K
In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Scientists refer to the measure of randomness or disorder within a system as entropy. High entropy means high disorder and low energy. To better understand entropy, think of a student’s bedroom. If no energy or work were put into it, the room would quickly become messy. It would exist in a very disordered state, one of high entropy. Energy must be...
6.0K

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Related Experiment Video

Updated: Oct 18, 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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Localization, Disorder, and Entropy in a Coarse-Grained Model of the Amorphous Solid.

Premkumar Leishangthem1, Faizyab Ahmad1, Shankar P Das1

  • 1School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India.

Entropy (Basel, Switzerland)
|September 28, 2021
PubMed
Summary
This summary is machine-generated.

Disorder creates metastable states with intermediate mass localization. This study quantifies excess entropy in these states, explaining the boson peak in amorphous solids and comparing shear modulus in solids versus liquids.

Keywords:
density functional theoryfree energy landscapevibrational modes

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Area of Science:

  • Condensed matter physics
  • Statistical mechanics
  • Materials science

Background:

  • Disorder in materials can lead to metastable states with properties between those of liquids and crystalline solids.
  • Understanding the entropic contributions in these intermediate states is crucial for explaining material behavior.

Purpose of the Study:

  • To investigate the role of disorder in creating metastable states.
  • To quantify the excess entropy associated with intermediate mass localization.
  • To explain the origin of the boson peak in amorphous solids.

Main Methods:

  • Utilizing a classical density functional model for a coarse-grained description of many-particle systems.
  • Estimating entropy by incorporating an additional contribution to the density of vibrational states.
  • Comparing the shear modulus of inhomogeneous solids with localized density profiles to uniform liquids at high frequencies.

Main Results:

  • Intermediate particle localization in metastable states leads to a change in entropy compared to microscopic approaches.
  • An additional term in the density of vibrational states, g(ω), accounts for this excess entropy.
  • A peak in g(ω)/ω² versus frequency (ω) corresponds to the boson peak observed in amorphous solids.

Conclusions:

  • Disorder-induced metastable states exhibit unique entropic characteristics.
  • The model successfully explains the boson peak phenomenon in amorphous materials.
  • High-frequency shear modulus comparisons reveal differences between localized and uniform systems.