Related Experiment Video
Updated: Jun 6, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
Published on: September 26, 2016
Effect of molecular configuration on binary diffusion coefficients of linear alkanes
Kyungchan Chae1, Paolo Elvati, Angela Violi
1Department of Mechanical Engineering, The University of Michigan, Ann Arbor, Michigan 48109-2125, USA.
Computational combustion models rely on accurate mass diffusion coefficients. This study reveals that the Chapman-Enskog theory, commonly used for gas kinetic theory, inaccurately predicts diffusion for non-spherical molecules like linear alkanes.
Area of Science:
- Physical Chemistry
- Computational Fluid Dynamics
- Chemical Engineering
Background:
- Mass diffusion coefficients are crucial for computational combustion modeling.
- The Chapman-Enskog (CE) theory, based on gas kinetic theory, is widely used for calculating diffusion coefficients.
- CE theory assumes spherical molecular structures, limiting its applicability.
Purpose of the Study:
- To compute binary diffusion coefficients for linear alkanes using molecular dynamics simulations.
- To evaluate the accuracy of the Chapman-Enskog theory for non-spherical molecules.
- To investigate the influence of molecular shape on diffusion coefficients.
Main Methods:
- All-atom molecular dynamics simulations were employed.
- Simulations covered a temperature range of 500-1000 K.
- Molecular configurations were analyzed using radii of gyration and collision diameters.
Main Results:
- Significant discrepancies were observed between molecular dynamics results and CE theory predictions for linear alkanes.
- The CE theory's predictions were particularly inaccurate for non-spherical molecules.
- Molecular shape demonstrably affects diffusion coefficients.
Conclusions:
- The Chapman-Enskog theory, with its assumption of spherical potentials, is inadequate for accurately predicting diffusion coefficients of non-spherical molecules.
- Molecular dynamics simulations provide a more reliable method for determining diffusion coefficients in complex molecular systems.
- Accurate diffusion coefficient calculations are essential for advancing computational combustion modeling.
More Related Videos
06:34In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging
Published on: September 2, 2016
12:15Image Processing Protocol for the Analysis of the Diffusion and Cluster Size of Membrane Receptors by Fluorescence Microscopy
Published on: April 9, 2019
Related Concept Videos
Physical Properties of Alkanes
Structure and Bonding of Alkenes
Doubly bonded carbons are sp2 hybridized and have a trigonal planar geometry. The double bond is composed of a σ bond formed by the overlap of hybrid orbitals and a π bond produced by the lateral overlap of unhybridized 2p orbitals on both the carbons. Each carbon atom is bonded to two hydrogen atoms...
Constitutional Isomers of Alkanes
The linear isomer of an alkane is prefixed by the term “n”; hence a linear isomer of pentane is known as n-pentane. Based on the type of branching, some of the branched isomers are given...
Isomerism in Alkenes
An isomer is called cis-2-butene when the methyl groups are on the same side of the double bond, and the other stereoisomer, in which methyl groups are on the opposite side of the double bond, is called trans-2-butene. The cis and trans stereoisomers are not...
Comparing Intermolecular Forces: Melting Point, Boiling Point, and Miscibility
Temporary attractive forces like dispersion are present in all molecules, whether they are polar or nonpolar. They...
Combustion Energy: A Measure of Stability in Alkanes and Cycloalkanes
Alkanes undergo combustion in the presence of excess oxygen and high-temperature conditions to give carbon dioxide and water. A combustion reaction is the energy source in natural gas, liquified petroleum gas (LPG), fuel oil, gasoline, diesel fuel, and...