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Diffusion on Chromatography Columns01:07

Diffusion on Chromatography Columns

465
In column chromatography, when an analyte is introduced as a narrow band at the top of the column, the solutes begin to separate and broaden, developing a Gaussian profile. This broadening occurs due to various factors, such as longitudinal diffusion.
Longitudinal diffusion occurs when the solute molecules in the mobile phase diffuse from the more concentrated center of the chromatographic band to the more dilute regions on either side, both towards and against the flow direction. This...
465
Protein Diffusion in the Membrane01:24

Protein Diffusion in the Membrane

4.3K
Proteins show rotational as well as lateral diffusion across the membrane. The lateral diffusion of proteins was confirmed through the cell fusion experiment where mouse and human cells were fused, resulting in hybrid cells. When the human and mouse cells fused, the specific membrane proteins on human and mouse cells were marked with the red and green-fluorescent markers, respectively. Initially, the red and green fluorescence was located on the respective hemisphere of the cell. As time...
4.3K
Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion03:48

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

28.6K
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...
28.6K
Distribution of Molecular Speeds01:27

Distribution of Molecular Speeds

3.9K
The motion of molecules in a gas is random in magnitude and direction for individual molecules, but a gas of many molecules has a predictable distribution of molecular speeds. This predictable distribution of molecular speeds is known as the Maxwell-Boltzmann distribution. The distribution of molecular speeds in liquids is comparable to that of gases but not identical and can help to understand the phenomenon of the boiling and vapor pressure of a liquid. Consider that a molecule requires a...
3.9K
Mean free path and Mean free time01:22

Mean free path and Mean free time

3.4K
Consider the gas molecules in a cylinder. They move in a random motion as they collide with each other and change speed and direction. The average of all the path lengths between collisions is known as the "mean free path."
3.4K
Molecular Weight of Step-Growth Polymers01:08

Molecular Weight of Step-Growth Polymers

2.2K
Step growth polymerization involves bi or multifunctional monomers. Bifunctional monomers react to form linear step growth polymers, whereas multifunctional monomers react to form non-linear or branched polymers.
As the step-growth polymerization involves step-wise condensation of monomers, the molecular weight also builds up eventually. Consequently, high molecular weight polymers are obtained at the late stages of the polymerization, where 99% of monomers have been consumed.
The extent of the...
2.2K

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相关实验视频

Updated: Jun 5, 2025

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
06:55

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

7.8K

在非静态介质中的布朗非高斯聚合物扩散.

Xiao Zhang1, Heng Wang1, Weihua Deng1

  • 1School of Mathematics and Statistics, State Key Laboratory of Natural Product Chemistry, Lanzhou University, Lanzhou 730000, China.

Chaos (Woodbury, N.Y.)
|December 13, 2024
PubMed
概括

这项研究模拟了动态介质中的聚合物扩散,揭示了尺寸波动如何影响运动. 我们分析了聚合物质量中心的行为,使用一种新的扩散扩散性模型.

科学领域:

  • 物理 物理学 物理
  • 聚合物科学 聚合物科学
  • 统计力学 统计力学

背景情况:

  • 自然中的粒子通常在动态,非静态介质中不规则地移动.
  • 先进的观测技术揭示了像布朗非高斯扩散这样的复杂现象.
  • 了解这种环境中的聚合物动态对于各种科学领域至关重要.

研究的目的:

  • 在非静态介质中研究聚合物质量中心 (CM) 的动态行为.
  • 分析聚合物尺寸波动对扩散特性的特定影响.
  • 在这些条件下开发和验证聚合物扩散的理论模型.

主要方法:

  • 建立聚合物大小波动的扩散扩散性模型,结合出生和死亡过程.
  • 引入共同移动和物理坐标系统来描述CM位置.
  • 应用附属过程方法来导出统计量,如平均平方位移 (MSD) 和kurtosis.
  • 使用深度倒置随机微分方程 (BSDE) 来推导和解决双变方程福克-普朗克和费曼-卡克方程.

主要成果:

  • 该研究详细分析了在非静态介质中聚合物尺寸波动的扩散扩散性模型.
  • 获取了聚合物的CM的关键统计量,包括MSD和化.

更多相关视频

Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels
11:34

Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels

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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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相关实验视频

Last Updated: Jun 5, 2025

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
06:55

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

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Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels
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Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels

Published on: September 8, 2016

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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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  • 对不同类型的介质分析了MSD长期非对称的行为.
  • 得到的福克-普朗克和费曼-卡克方程得到了解决,证实了模型的有效性.
  • 结论:

    • 聚合物尺寸波动显著影响非静态介质中的扩散行为.
    • 开发的扩散扩散率模型准确地描述了这些动态.
    • 深度BSDE的应用为解决复杂的扩散方程提供了一个强大的方法.