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Related papers: Learning Dipole Moments and Polarizabilities

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Embedding molecular symmetries into machine-learning models is key for efficient learning of chemico-physical scalar properties, but little evidence on how to extend the same strategy to tensorial quantities exists. Here we formulate a…

Materials Science · Physics 2022-04-27 Vu Ha Anh Nguyen , Alessandro Lunghi

The use of machine learning (ML) algorithms in molecular simulations has become commonplace in recent years. There now exists, for instance, a multitude of ML force field algorithms that have enabled simulations approaching ab initio level…

Chemical Physics · Physics 2025-04-17 Jakub K. Sowa , Peter J. Rossky

Molecular dynamics simulations are an important tool for describing the evolution of a chemical system with time. However, these simulations are inherently held back either by the prohibitive cost of accurate electronic structure theory…

Chemical Physics · Physics 2018-12-20 Michael Gastegger , Philipp Marquetand

The molecular polarizability describes the tendency of a molecule to deform or polarize in response to an applied electric field. As such, this quantity governs key intra- and inter-molecular interactions such as induction and dispersion,…

Chemical Physics · Physics 2025-10-06 David M. Wilkins , Andrea Grisafi , Yang Yang , Ka Un Lao , Robert A. DiStasio , Michele Ceriotti

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

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

The dipole moment is a physical quantity indicating the polarity of a molecule and is determined by reflecting the electrical properties of constituent atoms and the geometric properties of the molecule. Most embeddings used to represent…

Machine Learning · Computer Science 2022-06-28 Yang Jeong Park

Statistical learning methods show great promise in providing an accurate prediction of materials and molecular properties, while minimizing the need for computationally demanding electronic structure calculations. The accuracy and…

Materials Science · Physics 2018-01-24 Andrea Grisafi , David M. Wilkins , Gábor Csányi , Michele Ceriotti

Machine learning has revolutionized the high-dimensional representations for molecular properties such as potential energy. However, there are scarce machine learning models targeting tensorial properties, which are rotationally covariant.…

Chemical Physics · Physics 2020-08-11 Yaolong Zhang , Sheng Ye , Jinxiao Zhang , Ce Hu , Jun Jiang , Bin Jiang

Accurate representation of the molecular electrostatic potential, which is often expanded in distributed multipole moments, is crucial for an efficient evaluation of intermolecular interactions. Here we introduce a machine learning model…

Chemical Physics · Physics 2017-10-09 Tristan Bereau , Denis Andrienko , O. Anatole von Lilienfeld

Long-range electrostatics and polarization remain central obstacles to extending machine learning interatomic potentials (MLIPs) to ionic, polar, and interfacial systems. Here, we introduce a semi-local framework for learning electrostatics…

Materials Science · Physics 2026-05-08 Dongjin Kim , Daniel S. King , Yoonjae Park , Roya Savoj , Sebastien Hamel , Xiaoyu Wang , Bingqing Cheng

Machine-learning models in chemistry - when based on descriptors of atoms embedded within molecules - face essential challenges in transferring the quality of predictions of local electronic structures and their associated properties across…

Chemical Physics · Physics 2024-09-27 Frederik Ø. Kjeldal , Janus J. Eriksen

The predictive accuracy of Machine Learning (ML) models of molecular properties depends on the choice of the molecular representation. Based on the postulates of quantum mechanics, we introduce a hierarchy of representations which meet…

Chemical Physics · Physics 2016-11-23 Bing Huang , O. Anatole von Lilienfeld

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…

In ab initio nuclear structure theory, accurately predicting electromagnetic observables, such as moments and transition rates, is essential for a comprehensive understanding of nuclear properties. However, computational limitations and…

Nuclear Theory · Physics 2025-12-22 Marco Knöll , Marc L. Agel , Tobias Wolfgruber , Pieter Maris , Robert Roth

Predicting tensorial properties with machine learning models typically requires carefully designed tensorial descriptors. In this work, we introduce an alternative strategy for learning tensorial quantities based on scalar descriptors. We…

Materials Science · Physics 2026-02-05 Bernhard Schmiedmayer , Angela Rittsteuer , Tobias Hilpert , Georg Kresse

This study extends the accurate and transferable molecular-orbital-based machine learning (MOB-ML) approach to modeling the contribution of electron correlation to dipole moments at the cost of Hartree-Fock computations. A…

Chemical Physics · Physics 2022-09-21 Jiace Sun , Lixue Cheng , Thomas F. Miller

Unlike with the energy, which is a scalar property, machine learning (ML) predictions of vector or tensor properties poses the additional challenge of achieving proper invariance (covariance) with respect to molecular rotation. If the…

Chemical Physics · Physics 2025-08-13 Jakub Martinka , Marek Pederzoli , Mario Barbatti , Pavlo O. Dral , Jiří Pittner

We introduce machine learning models of quantum mechanical observables of atoms in molecules. Instant out-of-sample predictions for proton and carbon nuclear chemical shifts, atomic core level excitations, and forces on atoms reach…

Chemical Physics · Physics 2015-08-26 Matthias Rupp , Raghunathan Ramakrishnan , O. Anatole von Lilienfeld

Message passing neural networks have become a method of choice for learning on graphs, in particular the prediction of chemical properties and the acceleration of molecular dynamics studies. While they readily scale to large training data…

Machine Learning · Computer Science 2021-06-08 Kristof T. Schütt , Oliver T. Unke , Michael Gastegger
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