Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Reduced Mass Coordinates: Isolated Two-body Problem

Reduced Mass Coordinates: Isolated Two-body Problem

In classical mechanics, the two-body problem is one of the fundamental problems describing the motion of two interacting bodies under gravity or any other central force. When considering the motion of two bodies, one of the most important concepts is the reduced mass coordinates, a quantity that allows the two-body problem to be solved like a single-body problem. In these circumstances, it is assumed that a single body with reduced mass revolves around another body fixed in a position with an...

Linear Approximation in Time Domain

Linear Approximation in Time Domain

Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...

Equilibrium Conditions for a Particle

Equilibrium Conditions for a Particle

When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...

Curvilinear Motion: Rectangular Components

Curvilinear Motion: Rectangular Components

Curvilinear motion characterizes the movement of a particle or object along a curved path, notably evident when envisioning a car navigating a winding road. If the car starts at point A, its position vector is established within a fixed frame of reference, where the ratio of the position vector to its magnitude signifies the unit vector pointing in the position vector's direction.
As the car advances, its position evolves over time. Quantifying the car's velocity involves computing the...

Energy Diagrams - II

Energy Diagrams - II

Energy diagrams are important to understand the dynamics of a system. The topology of an energy diagram helps illustrate the equilibrium points of the system.
The point in the energy diagram at which the system’s potential energy is the lowest is known as the local minima. The system tends to stay in this position indefinitely unless acted upon by a net force. The slope of the potential energy diagram at the local minima is zero, indicating that zero net force is acting on the system. The...

Curvilinear Motion: Normal and Tangential Components

Curvilinear Motion: Normal and Tangential Components

When a car traverses a curved road, its motion can be elucidated by breaking it down into tangential and normal components. The car-centric coordinates attached to the vehicle move with it.
The positive direction of the t-axis aligns with the increasing position of the car along the curved path, denoted by the unit vector ut. Simultaneously, the n-axis, perpendicular to the t-axis, dissects the curved path into differential arc segments, each forming the arc of a circle with a radius of...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Robustness and reliability of different CASPT2 flavors for nonadiabatic molecular dynamics.

The Journal of chemical physics·2026

Same author

A Coupled-Trajectory Strategy for Decoherence, Frustrated Hops and Internal Consistency in Surface Hopping.

Journal of chemical theory and computation·2026

Same author

Ultrafast dynamics and excited-state trapping in [3.3]paracyclophane.

Physical chemistry chemical physics : PCCP·2026

Same author

Visualizing the Three-Dimensional Arrangement of Hydrogen Atoms in Organic Molecules by Coulomb Explosion Imaging.

Journal of the American Chemical Society·2025

Same author

Benchmarking Density Functional Approximations in Nonadiabatic Dynamics: <i>Trans</i>-<i>Cis</i> Isomerization in Retinal Model.

Journal of chemical theory and computation·2025

Same author

Velocity Rescaling in Surface Hopping Based on Atomic Contributions to Electronic Transitions.

Journal of chemical theory and computation·2025

Same journal

Vibrational and Structural Properties of Aqueous H<sub>2</sub>SO<sub>4</sub> and Na<sub>2</sub>SO<sub>4</sub> Systems from Ambient to Supercritical Conditions: A Comparative Study between GGA(-D3) and r2SCAN Functionals.

The journal of physical chemistry. A·2026

Same journal

The Sigma Ring and Other Distinctive Features of Surface Potentials of Group 1 Systems.

The journal of physical chemistry. A·2026

Same journal

Modeling DOTA Decarboxylation in the Context of α-Radiolysis Using DFT Calculations.

The journal of physical chemistry. A·2026

Same journal

Mode-Selective Dual-Level Vibrational Perturbation Theory Assisted by Machine Learning for Rotational and Vibrational Spectra of Benzoic Acid and Aspirin.

The journal of physical chemistry. A·2026

Same journal

On the Nonparametric Diabatization of Coupled Electronic States.

The journal of physical chemistry. A·2026

Same journal

Stability of Some Ternary 13-Atom Icosahedral Clusters Assessed with Geometric, Electronic, and Thermodynamic Criteria.

The journal of physical chemistry. A·2026

See all related articles

Search research articles

Related Experiment Video

Updated: Jun 27, 2025

Direct Force Measurements of Subcellular Mechanics in Confinement using Optical Tweezers

Direct Force Measurements of Subcellular Mechanics in Confinement using Optical Tweezers

Published on: August 31, 2021

Exploring Exact-Factorization-Based Trajectories for Low-Energy Dynamics near a Conical Intersection.

Lea M Ibele¹, Federica Agostini¹

¹Université Paris-Saclay, CNRS, Institut de Chimie Physique UMR8000, 91405 Orsay, France.

The Journal of Physical Chemistry. A

|April 25, 2024

Summary

This summary is machine-generated.

This study investigates low-energy dynamics near conical intersections using exact factorization. Trajectory-based approximations struggle to accurately model these dynamics due to non-negligible nonadiabatic effects.

More Related Videos

Author Spotlight: Evaluation of Protein-Condensate Dynamics in Live Human Cells

Author Spotlight: Evaluation of Protein-Condensate Dynamics in Live Human Cells

Published on: January 5, 2024

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

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

Published on: April 9, 2019

Related Experiment Videos

Last Updated: Jun 27, 2025

Direct Force Measurements of Subcellular Mechanics in Confinement using Optical Tweezers

Direct Force Measurements of Subcellular Mechanics in Confinement using Optical Tweezers

Published on: August 31, 2021

Author Spotlight: Evaluation of Protein-Condensate Dynamics in Live Human Cells

Author Spotlight: Evaluation of Protein-Condensate Dynamics in Live Human Cells

Published on: January 5, 2024

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

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

Published on: April 9, 2019

Area of Science:

Quantum dynamics
Theoretical chemistry
Jahn-Teller effect

Background:

Conical intersections are crucial in molecular dynamics.
Jahn-Teller Hamiltonians describe degenerate electronic states.
Exact factorization separates nuclear and electronic motion.

Purpose of the Study:

To model low-energy dynamics near conical intersections.
To assess trajectory-based approximations using exact factorization.
To understand topological and geometric phase effects.

Main Methods:

Quantum wave packet dynamics.
Trajectory dynamics.
Exact factorization method.
Adiabatic representation comparison.

Main Results:

Nonadiabatic effects are weak but significant.
Classical trajectory approximations fail to capture dynamics accurately.
Exact factorization provides a more robust description.

Conclusions:

Trajectory-based methods require careful consideration of nonadiabatic coupling.
Exact factorization is a powerful tool for studying complex molecular dynamics.
Understanding phase effects is key to accurate modeling.