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The nudged elastic band (NEB) method is a commonly used approach for the calculation of minimum energy pathways of kinetic processes. However, the final paths obtained rely heavily on the nature of the initially chosen path. This often…

Materials Science · Physics 2019-04-30 Jason M. Munro , Vincent S. Liu , Venkatraman Gopalan , Ismaila Dabo

The minimum energy path (MEP) is the most probable transition path that connects two equilibrium states of a potential energy landscape. It has been widely used to study transition mechanisms as well as transition rates in the fields of…

Numerical Analysis · Mathematics 2022-07-01 Xuanyu Liu , Huajie Chen , Christoph Ortner

We show that neural networks can be optimized to represent minimum energy paths as continuous functions, offering a flexible alternative to discrete path-search methods such as Nudged Elastic Band (NEB). Our approach parameterizes reaction…

Machine Learning · Computer Science 2025-07-10 Kalyan Ramakrishnan , Lars L. Schaaf , Chen Lin , Guangrun Wang , Philip Torr

The nudged elastic band (NEB) method is the standard approach for finding minimum energy paths and transition states on potential energy surfaces. Practical NEB calculations require several pre-processing steps: endpoint minimization,…

Chemical Physics · Physics 2026-04-17 Rohit Goswami

Characterizing conformational transitions in physical systems remains a fundamental challenge, as traditional sampling methods struggle with the high-dimensional nature of molecular systems and high-energy barriers between stable states.…

Chemical Physics · Physics 2025-09-22 Magnus Petersen , Gemma Roig , Roberto Covino

Minimum energy path (MEP) search is a vital but often very time-consuming method to predict the transition states of versatile dynamic processes in chemistry, physics, and materials science. In this study, we reveal that the chemical bond…

Materials Science · Physics 2023-07-18 Hongsheng Cai , Guoyuan Liu , Peiqi Qiu , Guangfu Luo

We present an efficient algorithm for calculating the minimum energy path (MEP) and energy barriers between local minima on a multidimensional potential energy surface (PES). Such paths play a central role in the understanding of transition…

Computational Physics · Physics 2012-04-19 Amit Samanta , Weinan E

High-temperature reactions widely exist in nature. However, they are difficult to be characterized either experimentally or computationally. The routinely used minimum energy path (MEP) model in computational modeling of chemical reactions…

Chemical Physics · Physics 2020-05-13 Xiongzhi Zeng , Zongyang Qiu , Pai Li , Zhenyu Li , Jinlong Yang

We present a modified version of the nudged elastic band (NEB) algorithm to find minimum energy paths con-necting two known configurations. We show that replacing the harmonic band-energy term with a discretized version of the…

Computational Physics · Physics 2024-06-19 Davide Mandelli , Michele Parrinello

The nudged-elastic band (NEB) method is modified with concomitant two climbing images (C2-NEB) to find a transition state (TS) in complex energy landscapes, such as those with serpentine minimal energy path (MEP). If a single climbing image…

Computational Physics · Physics 2017-11-28 Nikolai A. Zarkevich , Duane D. Johnson

The nuclear fission process is a dramatic example of the large-amplitude collective motion in which the nucleus undergoes a series of shape changes before splitting into distinct fragments. This motion can be represented by a pathway in the…

Diamond, the hardest natural crystal, has attracted significant attention for its plasticity, which is reported to be determined by its stacking faults. Studies mainly focused on one-dimensional linear pathways in stacking transitions,…

Materials Science · Physics 2025-02-06 Chunxia Chi , Hairui Ding , Xiang-Feng Zhou , Xiao Dong

We describe a robust and efficient chain-of-states method for computing Minimum Energy Paths~(MEPs) associated to barrier-crossing events in poly-atomic systems. The path is parametrized in terms of a continuous variable $t \in [0,1]$ that…

Chemical Physics · Physics 2015-10-26 E. R. Hernandez , C. P. Herrero , J. M. Soler

Identifying minimum-energy paths (MEPs) is crucial for understanding chemical reaction mechanisms but remains computationally demanding. We introduce MEPIN, a scalable machine-learning method for efficiently predicting MEPs from reactant…

Chemical Physics · Physics 2026-02-18 Juno Nam , Miguel Steiner , Max Misterka , Soojung Yang , Avni Singhal , Rafael Gómez-Bombarelli

In this work, we propose a multi-scale protocol for routine theoretical studies of chemical reaction mechanisms. The initial reaction paths of our investigated systems are sampled using the Nudged-Elastic Band (NEB) method driven by a cheap…

Chemical Physics · Physics 2023-07-26 Tomislav Piskor , Peter Pinski , Thilo Mast , Vladimir V. Rybkin

The nudged elastic band (NEB) method is one of the most widely used techniques for determining minimum-energy reaction pathways and activation barriers between known initial and final states. However, conventional implementations face steep…

Computational Physics · Physics 2025-10-21 Qiuhan Jia , Jiuyang Shi , Jian Sun

The Chain-of-states(CoS) methods like nudge elastic band(NEB) method can be used to determine the minimum energy path (MEP) and transition state (TS) between two end local minima. However, the CoS methods are inefficient for difficult cases…

Chemical Physics · Physics 2019-04-16 Sky , Zhang , Hai Xiao , Jun Li

In reaction path optimization, such as the calculation of a minimum energy path (MEP) between given reactant and product configurations of atoms, it is advantageous to start with an initial guess where close proximity of atoms is avoided…

Chemical Physics · Physics 2023-10-10 Yorick L. A. Schmerwitz , Vilhjálmur Ásgeirsson , Hannes Jónsson

The minimum free-energy path (MFEP) is the most probable route of the nucleation process on the multidimensional free-energy surface. In this study, the phase-field equation is used as a mathematical tool to deduce the minimum free-energy…

Materials Science · Physics 2015-05-13 Masao Iwamatsu

Many algorithms for finding reaction pathways require an initial estimate of the minimum energy path (MEP). Most estimation methods use a variational approach and thus must be seeded from an even simpler path, such as one generated by…

Chemical Physics · Physics 2020-11-16 Mark C Palenik
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