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The molecular dipole moment ($\boldsymbol{\mu}$) is a central quantity in chemistry. It is essential in predicting infrared and sum-frequency generation spectra, as well as induction and long-range electrostatic interactions. Furthermore,…

Chemical Physics · Physics 2020-10-14 Max Veit , David M. Wilkins , Yang Yang , Robert A. DiStasio , Michele Ceriotti

We propose a very sensitive method for measuring the electric dipole moment of the electron using polar molecules embedded in a cryogenic solid matrix of inert-gas atoms. The polar molecules can be oriented in the $\hat{\rm{z}}$ direction…

Atomic Physics · Physics 2018-01-29 A. C. Vutha , M. Horbatsch , E. A. Hessels

Recent SO(3)-equivariant models embedded a molecule as a set of single atoms fixed in the three-dimensional space, which is analogous to a ball-and-stick view. This perspective provides a concise view of atom arrangements, however, the…

Chemical Physics · Physics 2025-08-26 Bumju Kwak , Jeonghee Jo

Machine learning of scalar molecular properties such as potential energy has enabled widespread applications. However, there are relatively few machine learning models targeting directional properties, including permanent and transition…

Chemical Physics · Physics 2021-11-10 Yaolong Zhang , Jun Jiang , Bin Jiang

We apply a temporal edge prediction model for weighted dynamic graphs to predict time-dependent changes in molecular structure. Each molecule is represented as a complete graph in which each atom is a vertex and all vertex pairs are…

Machine Learning · Computer Science 2021-06-28 Michael Hunter Ashby , Jenna A. Bilbrey

Modeling molecular potential energy surface is of pivotal importance in science. Graph Neural Networks have shown great success in this field. However, their message passing schemes need special designs to capture geometric information and…

Machine Learning · Computer Science 2023-04-24 Xiyuan Wang , Muhan Zhang

Graph neural networks have recently achieved great successes in predicting quantum mechanical properties of molecules. These models represent a molecule as a graph using only the distance between atoms (nodes). They do not, however,…

Machine Learning · Computer Science 2022-04-06 Johannes Gasteiger , Janek Groß , Stephan Günnemann

A molecule's geometry, also known as conformation, is one of a molecule's most important properties, determining the reactions it participates in, the bonds it forms, and the interactions it has with other molecules. Conventional…

Machine Learning · Computer Science 2020-01-01 Elman Mansimov , Omar Mahmood , Seokho Kang , Kyunghyun Cho

We present a data-driven approach for the prediction of the electric dipole moment of diatomic molecules, which is one of the most relevant molecular properties. In particular, we apply Gaussian process regression to a novel dataset to show…

Chemical Physics · Physics 2020-12-02 Xiangyue Liu , Gerard Meijer , Jesús Pérez-Ríos

Ground-state 3D geometries of molecules are essential for many molecular analysis tasks. Modern quantum mechanical methods can compute accurate 3D geometries but are computationally prohibitive. Currently, an efficient alternative to…

Chemical Physics · Physics 2023-05-24 Zhao Xu , Yaochen Xie , Youzhi Luo , Xuan Zhang , Xinyi Xu , Meng Liu , Kaleb Dickerson , Cheng Deng , Maho Nakata , Shuiwang Ji

We present a machine learning model for predicting the electric dipole moment of diatomic molecules using only the atomic properties of the constituent atoms. Our model can screen the entire periodic table and identify the molecules with…

We introduce a novel equivariant graph neural network (GNN) architecture designed to predict the tensorial response properties of molecules. Unlike traditional frameworks that focus on regressing scalar quantities and derive tensorial…

Machine Learning · Computer Science 2025-11-11 Jean Philip Filling , Felix Post , Michael Wand , Denis Andrienko

Effectively predicting molecular interactions has the potential to accelerate molecular dynamics by multiple orders of magnitude and thus revolutionize chemical simulations. Graph neural networks (GNNs) have recently shown great successes…

Computational Physics · Physics 2024-06-25 Johannes Gasteiger , Florian Becker , Stephan Günnemann

Neural message passing on molecular graphs is one of the most promising methods for predicting formation energy and other properties of molecules and materials. In this work we extend the neural message passing model with an edge update…

Machine Learning · Statistics 2018-06-11 Peter Bjørn Jørgensen , Karsten Wedel Jacobsen , Mikkel N. Schmidt

Graph neural networks are emerging as promising methods for modeling molecular graphs, in which nodes and edges correspond to atoms and chemical bonds, respectively. Recent studies show that when 3D molecular geometries, such as bond…

Machine Learning · Computer Science 2021-10-06 Zhao Xu , Youzhi Luo , Xuan Zhang , Xinyi Xu , Yaochen Xie , Meng Liu , Kaleb Dickerson , Cheng Deng , Maho Nakata , Shuiwang Ji

Molecular dynamics (MD) simulation predicts the trajectory of atoms by solving Newton's equation of motion with a numeric integrator. Due to physical constraints, the time step of the integrator need to be small to maintain sufficient…

Computational Physics · Physics 2021-12-22 Tianze Zheng , Weihao Gao , Chong Wang

The quest for efficient and robust deep learning models for molecular systems representation is increasingly critical in scientific exploration. The advent of message passing neural networks has marked a transformative era in graph-based…

Computational Physics · Physics 2026-01-05 Jian Chang , Shuze Zhu

The molecular electrostatic potential (MEP) is a key quantity for describing and predicting intermolecular and ion-molecule interactions. Here, we assess the ability of machine-learning (ML) models to infer the MEP, based on the equivariant…

Chemical Physics · Physics 2026-01-16 Kadri Muuga , Lisanne Knijff , Chao Zhang

Molecular representation is a critical element in our understanding of the physical world and the foundation for modern molecular machine learning. Previous molecular machine learning models have employed strings, fingerprints, global…

Machine Learning · Computer Science 2025-05-28 Daniil A. Boiko , Thiago Reschützegger , Benjamin Sanchez-Lengeling , Samuel M. Blau , Gabe Gomes

Molecular representation learning has attracted much attention recently. A molecule can be viewed as a 2D graph with nodes/atoms connected by edges/bonds, and can also be represented by a 3D conformation with 3-dimensional coordinates of…

Machine Learning · Computer Science 2022-07-20 Jinhua Zhu , Yingce Xia , Lijun Wu , Shufang Xie , Tao Qin , Wengang Zhou , Houqiang Li , Tie-Yan Liu
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