The DOI matches its Crossref record; 151 of the 151 references it cites were found in a registry or an index.
Neural network potential-energy surfaces in chemistry: a tool for large-scale simulations
Abstract
The accuracy of the results obtained in molecular dynamics or Monte Carlo simulations crucially depends on a reliable description of the atomic interactions. A large variety of efficient potentials has been proposed in the literature, but often the optimum functional form is difficult to find and strongly depends on the particular system. In recent years, artificial neural networks (NN) have become a promising new method to construct potentials for a wide range of systems. They offer a number of advantages: they are very general and applicable to systems as different as small molecules, semiconductors and metals; they are numerically very accurate and fast to evaluate; and they can be constructed using any electronic structure method. Significant progress has been made in recent years and a number of successful applications demonstrate the capabilities of neural network potentials. In this Perspective, the current status of NN potentials is reviewed, and their advantages and limitations are discussed.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“General-purpose and systematically-convergent descriptions of chemical environments, such as those that are typically used to fit potentials or predict molecular properties 31,35 , provide a starting point that is considerably less biased than descriptors based on complicated heuristics that are designed from the outset to identify e.g. a stacking order, or the coordination of a site.”
From Unsupervised machine learning in atomistic simulations, between predictions and understanding (2019) · cites this paper as [35]
Citations
Cites
1 retracted
Doughan, D. I., Raff, L. M., Rockley, M. G., Hagan, M., Agrawal, P. M., & Komanduri, R. (2006) · The Journal of Chemical Physics · doi:10.1063/1.2162170 · Cited by 22
RetractedLearning representations by back-propagating errors
Rumelhart, D. E., Hinton, G. E., & Williams, R. J. (1986) · Nature · doi:10.1038/323533a0 · Cited by 31,892
Multilayer feedforward networks are universal approximators
Hornik, K., Stinchcombe, M., & White, H. (1989) · Neural Networks · doi:10.1016/0893-6080(89)90020-8 · Cited by 21,728
Neural networks and physical systems with emergent collective computational abilities.
Hopfield, J. J. (1982) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.79.8.2554 · Cited by 19,270
A logical calculus of the ideas immanent in nervous activity
McCulloch, W. S., & Pitts, W. (1943) · The Bulletin of Mathematical Biophysics · doi:10.1007/bf02478259 · Cited by 18,566
Approximation by superpositions of a sigmoidal function
Cybenko, G. (1989) · Mathematics of Control, Signals, and Systems · doi:10.1007/bf02551274 · Cited by 13,883
CHARMM: A program for macromolecular energy, minimization, and dynamics calculations
Brooks, B., Bruccoleri, R., Olafson, B. D., States, D., Swaminathan, S., & Karplus, M. (1983) · Journal of Computational Chemistry · doi:10.1002/jcc.540040211 · Cited by 13,736
A Second Generation Force Field for the Simulation of Proteins, Nucleic Acids, and Organic Molecules
Cornell, W. D., Cieplak, P., Bayly, C. I., Gould, I. R., Merz, K. M., Ferguson, D. M., Spellmeyer, D. C., Fox, T., Caldwell, J. W., & Kollman, P. A. (1995) · Journal of the American Chemical Society · doi:10.1021/ja00124a002 · Cited by 13,111
The perceptron: A probabilistic model for information storage and organization in the brain.
Rosenblatt, F. (1958) · Psychological Review · doi:10.1037/h0042519 · Cited by 12,280
Unified Approach for Molecular Dynamics and Density-Functional Theory
Car, R., & Parrinello, M. (1985) · Physical Review Letters · doi:10.1103/physrevlett.55.2471 · Cited by 10,889
Flagged first, then by citations
Research works printed but not linked: 2
- Thomsen, 1989, J. Magn. Reson., 84, 212
- Fahlman, 1990, Adv. Neural Inf. Process. Syst., 2, 524
Cited by
Sorted by citations
Items 601–700 of 781
Molecular Dynamics Simulations of Plastic Damage in Metals
Lu, S., Li, D., & Brenner, D. W. (2014) · Springer eBooks · doi:10.1007/978-1-4614-8968-9_6-1 · Cited by 4
Activation of Reactions in the Complex Region Using Microwave Irradiation
Ma, D., Tian, X., Guo, L., Mou, J., Lin, S., & Ma, J. (2018) · The Journal of Physical Chemistry A · doi:10.1021/acs.jpca.8b06442 · Cited by 4
Support Vector Regression-Based Monte Carlo Simulation of Flexible Water Clusters
Bose, S., Chakrabarty, S., & Ghosh, D. (2020) · ACS Omega · doi:10.1021/acsomega.9b02968 · Cited by 4
Allen, M. P., & Tildesley, D. J. (2017) · Oxford University Press eBooks · doi:10.1093/oso/9780198803195.003.0004 · Cited by 4
Constructing high-dimensional neural network potentials for molecular dynamics
Stende, J.-A. (2017) · NORA - Norwegian Open Research Archives · Cited by 4
A Roadmap for Electronic Grade 2-Dimensional MaterialsPreprint
Briggs, N., Subramanian, S., Lin, Z., Li, X., Zhang, X., Zhang, K., Xiao, K., Geohegan, D. B., Wallace, R. M., Chen, L., et al. (2018) · arXiv (Cornell University) · doi:10.48550/arxiv.1808.10514 · Cited by 4
Karmakar, A., Dhananjay, & Karmakar, T. (2025) · Nano Letters · doi:10.1021/acs.nanolett.5c02218 · Cited by 3
Computation of the heat capacity of water from first principles
Shiga, M., Elsner, J., Behler, J., & Thomsen, B. (2025) · The Journal of Chemical Physics · doi:10.1063/5.0285698 · Cited by 3
Self-citationLi, J., Song, K., & Li, J. (2025) · Chemistry · doi:10.3390/chemistry7060201 · Cited by 3
“To enhance the efficiency of this selection process, we employ the approach developed by Behler [47], which leverages the limited extrapolation and nonlinear fitting capabilities of NNs.”
Machine-Learned Free Energy Surfaces for Capillary Condensation and Evaporation in Mesopores
Desgranges, C., & Delhommelle, J. (2022) · Entropy · doi:10.3390/e24010097 · Cited by 3
Structural determination of a cubic Ni-rich phase in Hf-Ni-Ti
Meziere, J., Mohan, S., Bekker, B., Oliver, H., Cvetko, L., Stebner, A. P., & Hart, G. L. W. (2025) · Acta Materialia · doi:10.1016/j.actamat.2025.120748 · Cited by 3
Machine Learning Force Field for Optimization of Isolated and Supported Transition Metal Particles
Boucher, A., Beevers, C., Gauthier, B., & Roldan, A. (2025) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.4c01606 · Cited by 2
“The closer the reproduced vector 𝒙 is from the original input 𝒙 the better the AE performs.”
Drehwald, M. S., Jamali, A., & Vargas–Hernández, R. A. (2025) · The Journal of Chemical Physics · doi:10.1063/5.0250837 · Cited by 3
Kumar, N., & Bryantsev, V. S. (2025) · The Journal of Physical Chemistry Letters · doi:10.1021/acs.jpclett.5c01206 · Cited by 3
“[20–22] To address this gap, we developed neural network potentials to describe the bulk and interfacial water in the presence of CO 2 trained on data from AIMD simulations performed using the revPBE density functional with the DFT-D3 dispersion correction.”
Zhou, R., & Paesani, F. (2025) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.5c01335 · Cited by 3
Neural Networks for Computational Chemistry: Pitfalls and Recommendations
Montavon, G., & Müller, K. (2013) · MRS Proceedings · doi:10.1557/opl.2013.189 · Cited by 3
Ren, H., Zhang, Q., Zhang, B., & Song, Q. (2022) · The Journal of Physical Chemistry B · doi:10.1021/acs.jpcb.2c00943 · Cited by 3
Hou, S., Li, C., Han, H., & Xie, C. (2022) · Chinese Journal of Chemical Physics · doi:10.1063/1674-0068/cjcp2201016 · Cited by 3
Buren, B. (2023) · Physical Chemistry Chemical Physics · doi:10.1039/d3cp01753b · Cited by 3
Ardhaoui, W., & Cherif, E. (2023) · Physics and Chemistry of Liquids · doi:10.1080/00319104.2023.2249578 · Cited by 3
“…energy) and the adsorption energy [E η ] ads (or interaction energy) and given by the following relationship [36]: The free energy of the surface [37–39] is of the following form: where: R is the radius of couette cone-plate of rheometer and D ads is the thickness of the ● With the increase of…”
BackgroundUnusual magnetic interaction in CrTe: insights from machine-learning and empirical models
Zhang, F., Zhang, J., Fang, D., Zhang, Y., & Wang, D. (2023) · Journal of Physics Condensed Matter · doi:10.1088/1361-648x/ad154f · Cited by 3
Solving the vibrational Schrödinger equation with artificial neural networks
Zhao, S., & Zhang, D. H. (2026) · Nature Communications · doi:10.1038/s41467-026-74537-4 · Cited by 3
Shiranirad, M., & English, N. J. (2024) · Crystals · doi:10.3390/cryst14110930 · Cited by 3
Permutationally Invariant Fourier Series for Accurate and Robust Data-Driven Many-Body Potentials
Zhu, X., & Paesani, F. (2025) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.5c00407 · Cited by 3
Wang, Z., & Head‐Gordon, M. (2022) · Molecular Physics · doi:10.1080/00268976.2022.2118185 · Cited by 3
Mitschker, J., & Klüner, T. (2014) · Springer eBooks · doi:10.1007/978-3-319-10810-0_14 · Cited by 3
Fu, H. C., Zheng, R., & Zheng, L. (2015) · Molecular Physics · doi:10.1080/00268976.2015.1085603 · Cited by 3
Accurate integral cross sections for the H + CO2 → OH + CO reaction
Sun, P. G., Chen, J., Liu, S., & Zhang, D. H. (2018) · Chemical Physics Letters · doi:10.1016/j.cplett.2018.07.025 · Cited by 3
Molecular Dynamics Simulations of Plastic Damage in Metals
Lu, S., Li, D., & Brenner, D. W. (2014) · Springer eBooks · doi:10.1007/978-1-4614-5589-9_6 · Cited by 3
Machine Learning Corrections for DFT Noncovalent Interactions
Li, W., Liu, J., Li, L., Hu, L., Su, Z., & Chen, G. (2021) · Springer series in materials science · doi:10.1007/978-3-030-18778-1_10 · Cited by 4
On layer-wise representations in deep neural networks
Montavon, G. (2013) · DepositOnce · doi:10.14279/depositonce-3875 · Cited by 3
Computational Modeling of Electrocatalytic Reactions
Groß, A. (2017) · Elsevier eBooks · doi:10.1016/b978-0-12-409547-2.13363-3 · Cited by 3
Global diabatic potential energy surfaces for the two lowest states of Li3
Hong, Y., Huang, J., & Zhang, D. H. (2024) · Chinese Journal of Chemical Physics · doi:10.1063/1674-0068/cjcp2404065 · Cited by 2
Zhang, Y., Liu, H., Lv, M., Liu, H., Ma, Y., Shang, F., Liu, J., & Li, W. (2025) · Physical Chemistry Chemical Physics · doi:10.1039/d5cp02224j · Cited by 2
Combining Physics and Machine Learning: Hybrid Models for Predicting Interatomic Potentials
Haloui, K. E., Thome, N., & Sisourat, N. (2025) · Atoms · doi:10.3390/atoms13110089 · Cited by 4
Từ, N. T. P., Knoll, A. L. M., Behler, J., & Rowley, C. N. (2025) · The Journal of Physical Chemistry B · doi:10.1021/acs.jpcb.5c05387 · Cited by 2
Self-citationMandal, S., Srivastava, A., Das, T., Singh, A. K., & Maiti, P. K. (2025) · Small · doi:10.1002/smll.202513476 · Cited by 3
Yang, F., Sun, H., Yang, X., Li, X., & Yang, G. (2026) · Computational Materials Science · doi:10.1016/j.commatsci.2026.114555 · Cited by 2
Bian, T., Zhu, W., Lei, Q., & Yin, J. (2026) · ACS Applied Materials & Interfaces · doi:10.1021/acsami.5c24460 · Cited by 3
An evolutionary genetic neural networks for problems without prior knowledge
Ha, H. U., & Kim, J. (2014) · International Conference on Natural Computation (ICNC) · doi:10.1109/icnc.2014.6975800 · Cited by 2
“[2]-[4] This multilayer feed-forward neural network is also called Multi Layer Perceptron (MLP) and the construction of such NN can be simple enough, but the performance is quite good when applied to the area mentioned at the beginning.”
BackgroundInteraction energy prediction of organic molecules using deep tensor neural network
Yuan, Q., Ren, H., Li, H., Zhang, D., Cui, H., Weng, J., Li, G., Wang, G., & Li, Y. (2020) · Chinese Journal of Chemical Physics · doi:10.1063/1674-0068/cjcp2009163 · Cited by 2
Allen, M. P., & Tildesley, D. J. (2017) · Oxford University Press eBooks · doi:10.1093/oso/9780198803195.003.0009 · Cited by 2
Li, J., & Liu, Y. (2023) · Challenges and advances in computational chemistry and physics · doi:10.1007/978-3-031-37196-7_6 · Cited by 2
Urbiztondo, M., Rodrigo, S. G., & Hamad, S. (2023) · The Journal of Physical Chemistry C · doi:10.1021/acs.jpcc.3c04308 · Cited by 2
Mao, Y.-W., & Krems, R. V. (2024) · Machine Learning Science and Technology · doi:10.1088/2632-2153/ad360e · Cited by 3
Peng, Y., Liu, G., & Zhu, H. (2025) · The Journal of Chemical Physics · doi:10.1063/5.0277189 · Cited by 2
Dissociative chemisorption dynamics of small molecules on metal surfaces
Jiang, B., & Xie, D. (2013) · Science China Chemistry · doi:10.1007/s11426-013-4976-8 · Cited by 2
Correlation of structure with UV-visible spectra by varying SH composition in Au-SH nanoclusters
Chiriki, S., Jindal, S., Singh, P., & Bulusu, S. S. (2018) · The Journal of Chemical Physics · doi:10.1063/1.5031478 · Cited by 2
Toward the Prediction of Multi-Spin State Charges of a Heme Model by Random Forest Regression
Zhao, W., Li, Q., Huang, X.-H., Bie, L., & Gao, J. (2020) · Frontiers in Chemistry · doi:10.3389/fchem.2020.00162 · Cited by 2
Allen, M. P., & Tildesley, D. J. (2017) · Oxford University Press eBooks · doi:10.1093/oso/9780198803195.003.0006 · Cited by 2
Quantum Dynamics in Photodetachment of Polyatomic Anions
Ma, J., & Guo, H. (2018) · Advances in chemical physics · doi:10.1002/9781119374978.ch2 · Cited by 2
Real-time Prediction of 1H and 13C Chemical Shifts with DFT accuracy using a 3D Graph Neural NetworkPreprint
Guan, Y., V., S. S. S., Gallegos, L. C., John, P. C. S., & Paton, R. S. (2021) · doi:10.33774/chemrxiv-2021-zmp0l · Cited by 2
Zhai, Y., Caruso, A., Bore, S. L., & Paesani, F. (2022) · ChemRxiv · doi:10.26434/chemrxiv-2022-t92nd · Cited by 2
Alibakhshi, A., & Steffen, J. (2024) · ChemRxiv · doi:10.26434/chemrxiv-2024-6j11k · Cited by 2
Kalman Supervised Network for Improved Model Predictions
Vulpi, F., Leanza, A., Petitti, A., Milella, A., & Reina, G. (2022) · International Conference on Electrical, Computer, Communications and Mechatronics Engineering (ICECCME) · doi:10.1109/iceccme55909.2022.9988271 · Cited by 1
“In the past decade, NNs have been widely applied in several application contexts [5]–[8].”
BackgroundTransferability of atom-based neural networks
Kjeldal, F. Ø., & Eriksen, J. J. (2024) · Machine Learning Science and Technology · doi:10.1088/2632-2153/ad9709 · Cited by 2
“This has been a popular application of ML in quantum chemistry ever since machine potentials first came into existence [1–7], and it continues to be as much in vogue today as never before [8–21].”
RGBChem: Image-Like Representation of Chemical Compounds for Property Prediction
Stottko, R., Michalski, R., & Szyja, B. M. (2025) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.5c00291 · Cited by 2
Thermodynamic properties of aluminum nanoparticles using gaussian approximation potentials
Kumar, A., Nagare, B. J., & Sharma, R. (2025) · Journal of Applied Physics · doi:10.1063/5.0262323 · Cited by 1
Gas-phase molecular reaction dynamics in astrochemistry
Song, K., Li, J., & Li, J. (2025) · Chinese Science Bulletin (Chinese Version) · doi:10.1360/csb-2025-0426 · Cited by 1
Artificial Neural Networks Fitting of Potential Energy Curves and Surfaces: The 1/R Conundrum
Rana, S., Manoj, U. S., Lourderaj, U., & Sathyamurthy, N. (2025) · Journal of Computational Chemistry · doi:10.1002/jcc.70220 · Cited by 1
Tenti, G., Nakano, K., & Casula, M. (2025) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.5c00715 · Cited by 2
“Many techniques have been successfully applied over the years, including deep neural networks, 2,4,11 Gaussian approximation potentials, 31,32 kernel ridge regression, 19,33 graph neural networks, 34,35 and more.”
Giri, S., & Anoop, A. (2025) · Journal of Computational Chemistry · doi:10.1002/jcc.70287 · Cited by 1
“To tackle the computational expense, neural network potentials (NNPs) [2–17] have emerged as powerful tools that approximate potential energy surfaces with high accuracy and significantly reduced computational cost.”
Joshi, S., Janisch, J., Le, D., & Rahman, T. S. (2025) · The Journal of Chemical Physics · doi:10.1063/5.0291158 · Cited by 1
Efficient development of a neural network potential for pure silica zeolites
Ogenyi, S. J., Shaidu, Y., Seriani, N., & Akin‐Ojo, O. (2026) · Physical Chemistry Chemical Physics · doi:10.1039/d5cp04897d · Cited by 1
Cheng, Y., Zhang, S.-W., Dai, X., & Zhang, Y.-Y. (2026) · Journal of Molecular Modeling · doi:10.1007/s00894-026-06815-3 · Cited by 1
“Meanwhile, the descriptors of symmetry functions have achieved significant success in predicting energies [93, 96–99].”
Nanocrystal energetics via quantum similarity measures
Balta, M. İ. T., & Kılıç, Ç. (2014) · Modelling and Simulation in Materials Science and Engineering · doi:10.1088/0965-0393/22/2/025009 · Cited by 1
“It should be emphasized that this approach makes a similarity-based representation of the potential energy surfaces[26] accessible thanks to the inclusion of the strained systems, which facilitates an adequate description of physicochemical processes.”
BackgroundFrom Analysis to Prediction, from Prediction to Design
Dam, H., & Terakura, K. (2015) · Hyomen Kagaku · doi:10.1380/jsssj.36.507 · Cited by 1
Nanocluster heterogeneous catalysts: Insights from theory
Sun, G., & Sautet, P. (2021) · Elsevier eBooks · doi:10.1016/b978-0-12-823144-9.00007-8 · Cited by 1
Allen, M. P., & Tildesley, D. J. (2017) · Oxford University Press eBooks · doi:10.1093/oso/9780198803195.003.0013 · Cited by 1
Bukas, V. J., Meyer, J., Alducin, M., & Reuter, K. (2013) · Zeitschrift für Physikalische Chemie · doi:10.1515/zpch.2013.0410 · Cited by 1
Machine Learned Composite Methods for Electronic Structure Theory
Cameron, A., Proud, A. J., & Pearson, J. K. (2022) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.2c00564 · Cited by 1
Machado, H. G., & Mundim, K. C. (2023) · Revista Processos Químicos · doi:10.19142/rpq.v18i32.663 · Cited by 1
Feed forward neural network parametrization of the mean radiative properties of the mixture
Sun, H., Yan, K. Q., Yao, C., Zhang, X., Gao, Y., & Chen, Z. (2023) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2023.108740 · Cited by 1
A New Ab Initio Potential Energy Surface and Rovibrational Spectra for the CO–N2O Complex
Jiang, X., Liu, L. B., Peng, Y., & Zhu, H. (2024) · The Journal of Physical Chemistry A · doi:10.1021/acs.jpca.4c00055 · Cited by 1
A new ab initio potential energy surface and rovibrational spectra for the N2–N2O complex
Liu, L. B., Jiang, X., Peng, Y., & Zhu, H. (2024) · Chemical Physics · doi:10.1016/j.chemphys.2024.112272 · Cited by 1
Chen, Z. (2024) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2024.109078 · Cited by 1
TIP 4 P 2005 Ice : Simulating water with two molecular states
Sedano, L. F., Vega, C., Noya, E. G., & Sanz, E. (2025) · The Journal of Chemical Physics · doi:10.1063/5.0247832 · Cited by 1
State‐to‐state reaction dynamics for the reactions of atom N with radicals
Hu, X., Xie, C., & Xie, D. (2014) · International Journal of Quantum Chemistry · doi:10.1002/qua.24839 · Cited by 1
On Layer-Wise Representations in Deep Neural Networks
der Fakultät, V., & der Ingenieurwissenschaften, D. (2013) · Cited by 1
Zhou, B., He, D., & Chen, M. (2018) · Chemical Physics Letters · doi:10.1016/j.cplett.2018.06.030 · Cited by 1
Hydrogen molecule-antihydrogen atom potential energy surface and scattering calculations
Mant, B. P., Law, M. M., & Strasburger, K. (2019) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/1361-6455/ab312e · Cited by 1
Developing a Neural Network potential to investigate interface phenomena in solid-phase epitaxy
Lot, R., Martin‐Samos, L., de Gironcoli, S., & Hémeryck, A. (2021) · IEEE Nanotechnology Materials and Devices Conference (NMDC) · doi:10.1109/nmdc50713.2021.9677541 · Cited by 1
“The construction of a neural network potential can follow several approaches [7].”
BackgroundChen, Q., Han, S., Hu, X., & Xie, D. (2022) · Chinese Journal of Chemical Physics · doi:10.1063/1674-0068/cjcp2112270 · Cited by 1
Molecular Dynamics Simulations of Plastic Damage in Metals
Lu, S., Li, D., & Brenner, D. W. (2022) · Springer eBooks · doi:10.1007/978-3-030-60242-0_6 · Cited by 1
Allen, M. P., & Tildesley, D. J. (2017) · Oxford University Press eBooks · doi:10.1093/oso/9780198803195.003.0005 · Cited by 1
Allen, M. P., & Tildesley, D. J. (2017) · Oxford University Press eBooks · doi:10.1093/oso/9780198803195.003.0012 · Cited by 1
Allen, M. P., & Tildesley, D. J. (2017) · Oxford University Press eBooks · doi:10.1093/oso/9780198803195.003.0014 · Cited by 1
Schmitz, G. A., & Schnieder, B. (2022) · Journal of Computational Chemistry · doi:10.1002/jcc.27035 · Cited by 1
Accurate modeling of aqueous chemistry at the nano-/micro-scale
Huo, J., Zhang, Y., Zhang, K.-Y., Liu, P., Hong, B., Dong, H., & Li, S. (2023) · Scientia Sinica Chimica · doi:10.1360/ssc-2023-0205 · Cited by 1
Zhai, Y., Caruso, A., Bore, S. L., & Paesani, F. (2022) · ChemRxiv · doi:10.26434/chemrxiv-2022-t92nd-v2 · Cited by 1
Allen, M. P., & Tildesley, D. J. (2017) · Oxford University Press eBooks · doi:10.1093/oso/9780198803195.005.0005 · Cited by 1
Calculation of forces and torques
Allen, M. P., & Tildesley, D. J. (2017) · Oxford University Press eBooks · doi:10.1093/oso/9780198803195.005.0003 · Cited by 1
Allen, M. P., & Tildesley, D. J. (2017) · Oxford University Press eBooks · doi:10.1093/oso/9780198803195.005.0002 · Cited by 1
Quantum many-body physics with ultracold atoms and molecules: exact dynamics and machine learning
Lekowska, A. M. D. (2022) · UPCommons institutional repository (Universitat Politècnica de Catalunya) · doi:10.5821/dissertation-2117-379455 · Cited by 1
Graph-convolutional neural networks for (QM)ML/MM molecular dynamics simulations
Hofstetter, A., Böselt, L., & Riniker, S. (2022) · Physical Chemistry Chemical Physics · doi:10.1039/d2cp02931f · Cited by 39
“α (Fiα − F̃iα)(2) (14) where NQM is the number of QM particles, NMM is the number of MM particles, and ω0 and ω1 are weight parameters for the gradient contributions.”
BackgroundA Multiscale Code for Flexible Hybrid Simulations Using ASE Framework
Leukkunen, L., Verho, T., & Lopez‐Acevedo, O. (2013) · Computing in Science & Engineering · doi:10.1109/mcse.2013.51
“This defines then an inner region (1), where energy”
Fu, H. C., Zheng, R., & Zheng, L. (2015) · Journal of Molecular Spectroscopy · doi:10.1016/j.jms.2015.11.007
Behler, J. (2016) · Nachrichten aus der Chemie · doi:10.1002/nadc.20164047447
Self-citationPhotochemical Water Splitting on Titania Surfaces: Atomistic Insight From First Principles
Petersen, T., Mitschker, J., & Klüner, T. (2017) · Elsevier eBooks · doi:10.1016/b978-0-12-409547-2.14189-7
Metadata
- Authors
- Behler, J.
- Affiliations
- Ruhr University Bochum (DE)
- Corresponding author
- Behler, Jörg
- ORCID
- Behler, Jörg
- Venue
- Physical Chemistry Chemical Physics
- Publisher
- Royal Society of Chemistry (RSC)
- Published
- 2011
- Volume
- 13
- Issue
- 40
- Pages
- 17930
- ISSN
- 1463-9076 (ISSN-L)
- 1463-9084
- OpenAlex
- W2058370262
- Cited by
- 781
- References
- 151
- Citations by year
- 2026: 27 · 2025: 58 · 2024: 54 · 2023: 71 · 2022: 68 · 2021: 79 · 2020: 89 · 2019: 66 · 2018: 58 · 2017: 88 · 2016: 33 · 2015: 28 · 2014: 27 · 2013: 23 · 2012: 11
- FWCI
- 0.93
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Chemistry Chemical Physics (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Machine Learning in Materials Science
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
- Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Advanced Physical and Chemical Molecular Interactions
- Keywords
- neural network potentials, interatomic potentials, potential energy surface, molecular dynamics, Monte Carlo simulation, interatomic interactions, electronic structure methods, large-scale simulation, machine learning for materials
- MeSH terms
- Computer Simulation, Metals, Models, Molecular, Neural Networks, Computer, Small Molecule Libraries
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review