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Updated: Jul 15, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Gyration-radius dynamics in structural transitions of atomic clusters.
Tomohiro Yanao1, Wang S Koon, Jerrold E Marsden
1Control and Dynamical Systems, MC 107-81, California Institute of Technology, Pasadena, California 91125, USA. tyanao@cds.caltech.edu
This study introduces a new method to understand molecular structural transitions by analyzing molecular gyration radii. It reveals how potential and internal centrifugal forces compete, influencing molecular shape and energy landscapes.
Area of Science:
- Chemical Physics
- Theoretical Chemistry
- Molecular Dynamics
Background:
- Understanding molecular structural transitions is crucial for reaction dynamics.
- Isolated polyatomic molecules exhibit complex internal motions.
- Current methods may not fully capture the interplay between potential energy and molecular geometry.
Purpose of the Study:
- To develop a methodology for studying structural transition dynamics in polyatomic molecules.
- To highlight the interplay between potential energy topography and molecular internal geometry.
- To provide a framework for dimensionality reduction in molecular reaction dynamics.
Main Methods:
- Utilizing geometric mechanics and hyperspherical coordinates.
- Describing molecular internal motions using three gyration radii (slow collective variables) and hyperangular modes (fast bath modes).
- Calculating averaged force fields along a reaction path in the gyration radii space.
Main Results:
- Identified two counteracting forces on gyration radii: potential energy forces and internal centrifugal forces.
- Developed an effective energy curve quantifying work for mass distribution changes.
- Elucidated energy-dependent switching between symmetric and asymmetric molecular conformations.
Conclusions:
- The developed methodology effectively models structural transitions by considering geometric mechanics.
- The findings offer insights into kinematic barriers and mass distribution rearrangements.
- This approach is applicable to a wide range of molecular reaction dynamics in vacuum.
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