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We propose a simple scheme to estimate potential energy surface (PES) with which the accuracy can be easily controlled and improved up to the level of the density functional theory (DFT) calculations. It is based on a model selection within…

Materials Science · Physics 2014-07-11 Atsuto Seko , Akira Takahashi , Isao Tanaka

The structure and dynamics of a molecular system is governed by its potential energy surface (PES), representing the total energy as a function of the nuclear coordinates. Obtaining accurate potential energy surfaces is limited by the…

Chemical Physics · Physics 2023-09-29 Karl P. Horn , Luis Itza Vazquez-Salazar , Christiane P. Koch , Markus Meuwly

Computational chemistry has become an important tool to predict and understand molecular properties and reactions. Even though recent years have seen a significant growth in new algorithms and computational methods that speed up quantum…

Chemical Physics · Physics 2023-07-26 Albert Thie , Maximilian F. S. J. Menger , Shirin Faraji

A new potential energy surface (PES) and dynamical study are presented of the reactive process between H2CO + OH towards the formation of HCO + H2O and HCOOH + H. In this work a source of spurious long range interactions in symmetry adapted…

Chemical Physics · Physics 2024-06-19 Pablo del Mazo-Sevillano , Alfredo Aguado , Octavio Roncero

We propose an automated protocol for designing the energy landscape of a protein energy function by optimizing its parameters. The parameters are optimized so that not only the global minimum energy conformation becomes native-like, but…

Soft Condensed Matter · Physics 2007-05-23 Julian Lee , Seung-Yeon Kim , Jooyoung Lee

Several types of numerical and combinatorial optimization algorithms have been used as useful tools to minimize functional forms. Generally, when those forms are non-linear or occur in problems without a specific optimization method,…

Chemical Physics · Physics 2007-05-23 Luiz Fernando Roncaratti , Ricardo Gargano , Geraldo Magela e Silva

Theoretical design of global optimization algorithms can profitably utilize recent statistical mechanical treatments of potential energy surfaces (PES's). Here we analyze a particular method to explain its success in locating global minima…

Statistical Mechanics · Physics 2008-02-03 Jonathan Doye , David Wales

A new nine-dimensional potential energy surface (PES) for methane has been generated using state-of-the-art \textit{ab initio} theory. The PES is based on explicitly correlated coupled cluster calculations with extrapolation to the complete…

Chemical Physics · Physics 2016-10-12 Alec Owens , Sergey N. Yurchenko , Andrey Yachmenev , Jonathan Tennyson , Walter Thiel

We propose a machine-learning approach based on Bayesian optimization to build global potential energy surfaces (PES) for reactive molecular systems using feedback from quantum scattering calculations. The method is designed to correct for…

Chemical Physics · Physics 2019-03-27 R. A. Vargas-Hernández , Y. Guan , D. H. Zhang , R. V. Krems

This paper presents two new adiabatic, global potential energy surfaces (PESs) for the two lowest $^3A'$ and $^3A''$ electronic states of the O($^3P$)+H$_2$ system. For each of these states, ab initio electronic energies were calculated for…

Atomic Physics · Physics 2019-10-02 Alexandre Zanchet , Marta Menéndez , Pablo G. Jambrina , F. Javier Aoiz

Accurate, global Potential Energy Surfaces (PES) expressed in sum-of-products (SOP) form are a prerequisite for efficient high-dimensional quantum dynamics simulations using the MCTDH method. This work introduces a methodology for…

Chemical Physics · Physics 2026-03-31 Antoine Aerts

We have designed a new method to fit the energy and atomic forces using a single artificial neural network (SANN) for any number of chemical species present in a molecular system. The traditional approach for fitting the potential energy…

Chemical Physics · Physics 2018-12-05 Shweta Jindal , Satya S. Bulusu

An efficient and trajectory-free active learning method is proposed to automatically sample data points for constructing globally accurate reactive potential energy surfaces (PESs) using neural networks (NNs). Although NNs do not provide…

Chemical Physics · Physics 2020-05-20 Qidong Lin , Yaolong Zhang , Bin Zhao , Bin Jiang

We investigate a novel stochastic technique for the global optimization of complex potential energy surfaces (PES) that avoids the freezing problem of simulated annealing by allowing the dynamical process to tunnel energetically…

Computational Physics · Physics 2009-10-31 W. Wenzel , K. Hamacher

A globally correct potential energy surface (PES) for the \hp\ molecular ion is presented. The Born-Oppenheimer (BO) \ai\ grid points of Pavanello et. al. [\textit{J. Chem. Phys.} {\bf 136}, 184303 (2012)] are refitted as BOPES75K, which…

Chemical Physics · Physics 2018-12-17 I. I. Mizus , O. L. Polyansky , Laura K. McKemmish , J. Tennyson , A. Alijah , N. F. Zobov

Surface parameterizations have been widely applied to computer graphics and digital geometry processing. In this paper, we propose a novel stretch energy minimization (SEM) algorithm for the computation of equiareal parameterizations of…

Graphics · Computer Science 2017-08-25 Mei-Heng Yueh , Wen-Wei Lin , Chin-Tien Wu , Shing-Tung Yau

This paper proposes the response surface method for finite element model updating. The response surface method is implemented by approximating the finite element model surface response equation by a multi-layer perceptron. The updated…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Tshilidzi Marwala

Protein structure prediction (PSP) is computationally a very challenging problem. The challenge largely comes from the fact that the energy function that needs to be minimised in order to obtain the native structure of a given protein is…

Computational Engineering, Finance, and Science · Computer Science 2013-11-18 Mahmood A. Rashid , M. A. Hakim Newton , Md. Tamjidul Hoque , Abdul Sattar

Modeling non-empirical and highly flexible interatomic potential energy surfaces (PES) using machine learning (ML) approaches is becoming popular in molecular and materials research. Training an ML-PES is typically performed in two stages:…

Materials Science · Physics 2021-01-05 Suresh Kondati Natarajan , Miguel A. Caro

The potential energy surface (PES) is crucial for interpreting a variety of chemical reaction processes. However, predicting accurate PESs with high-level electronic structure methods is a challenging task due to the high computational…

Chemical Physics · Physics 2022-06-09 Yanxian Tao , Xiongzhi Zeng , Yi Fan , Jie Liu , Zhenyu Li , Jinlong Yang
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