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Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion03:48

Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion

29.5K
Although gaseous molecules travel at tremendous speeds (hundreds of meters per second), they collide with other gaseous molecules and travel in many different directions before reaching the desired target. At room temperature, a gaseous molecule will experience billions of collisions per second. The mean free path is the average distance a molecule travels between collisions. The mean free path increases with decreasing pressure; in general, the mean free path for a gaseous molecule will be...
29.5K
Thermodynamics: Activity Coefficient01:24

Thermodynamics: Activity Coefficient

2.0K
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...
2.0K
Extraction: Partition and Distribution Coefficients01:14

Extraction: Partition and Distribution Coefficients

2.9K
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...
2.9K
Maxwell-Boltzmann Distribution: Problem Solving01:20

Maxwell-Boltzmann Distribution: Problem Solving

1.7K
Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
1.7K
Factors Affecting Activity Coefficient01:17

Factors Affecting Activity Coefficient

982
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...
982
Diffusion01:12

Diffusion

199.7K
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...
199.7K

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相关实验视频

Updated: Sep 13, 2025

Single-Molecule Tracking Microscopy - A Tool for Determining the Diffusive States of Cytosolic Molecules
10:20

Single-Molecule Tracking Microscopy - A Tool for Determining the Diffusive States of Cytosolic Molecules

Published on: September 5, 2019

8.3K

物理一致的自我扩散系数计算与分子动力学和象征回归.

Dimitrios Angelis1, Chrysostomos Georgakopoulos1, Filippos Sofos1

  • 1Condensed Matter Physics Laboratory, Department of Physics, University of Thessaly, 35100 Lamia, Greece.

International journal of molecular sciences
|July 29, 2025
PubMed
概括
此摘要是机器生成的。

机器学习现在使用简单的宏观性质预测分子流体中的自我扩散系数. 这绕过了复杂的原子模拟,为散装和封闭系统提供了通用方法.

关键词:
扩散系数 扩散系数分子动力学分子动力学分子流体分子流体象征性回归是一种象征性回归.

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In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging
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In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging

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Image Processing Protocol for the Analysis of the Diffusion and Cluster Size of Membrane Receptors by Fluorescence Microscopy
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Image Processing Protocol for the Analysis of the Diffusion and Cluster Size of Membrane Receptors by Fluorescence Microscopy

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相关实验视频

Last Updated: Sep 13, 2025

Single-Molecule Tracking Microscopy - A Tool for Determining the Diffusive States of Cytosolic Molecules
10:20

Single-Molecule Tracking Microscopy - A Tool for Determining the Diffusive States of Cytosolic Molecules

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In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging
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In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging

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Image Processing Protocol for the Analysis of the Diffusion and Cluster Size of Membrane Receptors by Fluorescence Microscopy
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Image Processing Protocol for the Analysis of the Diffusion and Cluster Size of Membrane Receptors by Fluorescence Microscopy

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科学领域:

  • 计算物理和化学 计算物理和化学
  • 材料科学是一种材料科学.
  • 化学工程是化学工程的组成部分.

背景情况:

  • 计算自我扩散系数对于理解散装和封闭系统中的流体行为至关重要.
  • 传统的方法,如平均平方位移,是计算密集和复杂的.
  • 开发高效的流体动力学预测模型是一个持续的挑战.

研究的目的:

  • 开发一种通用,计算效率高的方法来计算分子流体中的自我扩散系数.
  • 导出分析表达式,将自我扩散系数与宏观流体特性相关联.
  • 绕过传统的原子级仿真方法.

主要方法:

  • 利用机器学习,特别是符号回归,在分子动力学模拟数据上训练.
  • 与宏观参数相关的自我扩散系数:密度,温度和限制宽度.
  • 使用遗传编程来选择简单,可解释的象征表达式.

主要成果:

  • 在九种分子流体中获得了自我扩散系数的新分析表达式.
  • 提取了适用于所有测试流体的通用方程,捕捉了分子行为.
  • 证明了对自我扩散系数的准确预测,绕过了要求计算的方法.

结论:

  • 机器学习为预测自我扩散系数提供了一种强大,高效的工具.
  • 衍生出的通用方程为流体行为提供了一个物理上一致和可解释的模型.
  • 这种方法推进了基本的理解,并有助于设计纳米尺寸的限制装置.