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Related Experiment Video

Updated: Feb 13, 2026

An Approach to Study Shape-Dependent Transcriptomics at a Single Cell Level

An Approach to Study Shape-Dependent Transcriptomics at a Single Cell Level

Published on: November 2, 2020

Dual-Level Approach to Instanton Theory.

Jan Meisner¹, Johannes Kästner¹

¹Institute for Theoretical Chemistry , University of Stuttgart , Pfaffenwaldring 55 , 70569 Stuttgart , Germany.

Journal of Chemical Theory and Computation

|March 13, 2018

Summary

This study introduces a dual-level approach to improve instanton theory for calculating chemical reaction rates. The method enhances accuracy by using a high-level method for potential energy calculations, significantly reducing errors in rate constants.

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Area of Science:

Chemical kinetics
Quantum chemistry
Theoretical chemistry

Background:

Instanton theory is a key method for calculating chemical reaction rate constants, particularly for processes involving atom tunneling.
Current applications are limited by the computational cost of optimizing tunneling paths and calculating second derivatives using high-level electronic structure methods.

Purpose of the Study:

To enhance the applicability of instanton theory by developing a more computationally efficient and accurate approach.
To extend the use of instanton theory to advanced electronic structure methods, even those lacking analytic gradients.

Main Methods:

A dual-level approach was developed, combining an efficient approximate method for instanton path optimization and Hessian calculations with a more accurate method for potential energy refinement.
The method was tested on the Eckart barrier and three molecular systems.

Main Results:

The dual-level instanton approach effectively corrects errors arising from approximate electronic structure methods.
Significant reductions in the error of calculated rate constants were achieved.

Conclusions:

The dual-level instanton method broadens the scope of reactions and electronic structure methods amenable to accurate rate constant calculations.
This approach offers a practical solution for overcoming computational bottlenecks in theoretical chemical kinetics.