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Related Concept Videos

Diffusion01:12

Diffusion

222.3K
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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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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Molecular and Ionic Solids02:54

Molecular and Ionic Solids

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Crystalline solids are divided into four types: molecular, ionic, metallic, and covalent network based on the type of constituent units and their interparticle interactions.
Molecular Solids
Molecular crystalline solids, such as ice, sucrose (table sugar), and iodine, are solids that are composed of neutral molecules as their constituent units. These molecules are held together by weak intermolecular forces such as London dispersion forces, dipole-dipole interactions, or hydrogen bonds, which...
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Metallic Solids02:37

Metallic Solids

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Metallic solids such as crystals of copper, aluminum, and iron are formed by metal atoms. The structure of metallic crystals is often described as a uniform distribution of atomic nuclei within a “sea” of delocalized electrons. The atoms within such a metallic solid are held together by a unique force known as metallic bonding that gives rise to many useful and varied bulk properties.
All metallic solids exhibit high thermal and electrical conductivity, metallic luster, and malleability....
21.0K
Structures of Solids02:22

Structures of Solids

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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...
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Physical and Chemical Properties of Matter02:57

Physical and Chemical Properties of Matter

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The characteristics that enable us to distinguish one substance from another are called properties.
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Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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Solid ^{4}He and the diffusion Monte Carlo method: A study of their properties.

E J Rugeles1, Sebastian Ujevic2, S A Vitiello1

  • 1Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas-UNICAMP, 13083-970 Campinas, SP, Brazil.

Physical Review. E
|January 20, 2018
PubMed
Summary
This summary is machine-generated.

This study used the diffusion Monte Carlo method to investigate solid helium-4 properties. Results for kinetic energy and phase transition densities align with experimental data, showing robustness against different guiding functions.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Computational Physics

Background:

  • Understanding the quantum mechanical behavior of helium atoms is crucial for condensed matter physics.
  • Helium exhibits unique quantum properties in its solid and liquid phases due to weak interatomic interactions.

Purpose of the Study:

  • To investigate the properties of solid helium-4 using advanced computational methods.
  • To estimate key properties such as kinetic energy and phase transition densities.
  • To assess the impact of different computational approaches on the results.

Main Methods:

  • Multiweight diffusion Monte Carlo method applied to helium-4.
  • Utilized two distinct importance function transformations for independent calculations.
  • Estimated kinetic energy for both solid and liquid phases.

Main Results:

  • Estimated melting and freezing densities for solid helium-4.
  • Kinetic energy values were determined for both solid and liquid phases.
  • Comparisons with experimental values showed good agreement.
  • Investigated and discussed the lack of significant changes in results due to different guiding functions.

Conclusions:

  • The diffusion Monte Carlo method provides reliable estimates for solid helium-4 properties.
  • The findings support the validity of the computational approach across different guiding functions.
  • The study addresses potential biases from population control and system size effects.