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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.
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“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]
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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
UFF, a full periodic table force field for molecular mechanics and molecular dynamics simulations
Rappé, A. K., Casewit, C. J., Colwell, K. S., Goddard, W. A., & Skiff, W. M. (1992) · Journal of the American Chemical Society · doi:10.1021/ja00051a040 · Cited by 10,603
Self-organized formation of topologically correct feature maps
Kohonen, T. (1982) · Biological Cybernetics · doi:10.1007/bf00337288 · Cited by 9,529
Daw, M. S., & Baskes, M. I. (1984) · Physical review. B, Condensed matter · doi:10.1103/physrevb.29.6443 · Cited by 7,359
DREIDING: a generic force field for molecular simulations
Mayo, S. L., Olafson, B. D., & Goddard, W. A. (1990) · The Journal of Physical Chemistry · doi:10.1021/j100389a010 · Cited by 6,646
Approximation capabilities of multilayer feedforward networks
Hornik, K. (1991) · Neural Networks · doi:10.1016/0893-6080(91)90009-t · Cited by 6,091
Laio, A., & Parrinello, M. (2002) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.202427399 · Cited by 5,626
Generalized Neural-Network Representation of High-Dimensional Potential-Energy Surfaces
Behler, J., & Parrinello, M. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.146401 · Cited by 5,010
Self-citationImproved grid‐based algorithm for Bader charge allocation
Sanville, E., Kenny, S. D., Smith, R., & Henkelman, G. (2007) · Journal of Computational Chemistry · doi:10.1002/jcc.20575 · Cited by 4,307
On the approximate realization of continuous mappings by neural networks
Funahashi, K.-I. (1989) · Neural Networks · doi:10.1016/0893-6080(89)90003-8 · Cited by 4,206
Modeling solid-state chemistry: Interatomic potentials for multicomponent systems
Tersoff, J. (1989) · Physical review. B, Condensed matter · doi:10.1103/physrevb.39.5566 · Cited by 4,184
Brenner, D. W. (1990) · Physical review. B, Condensed matter · doi:10.1103/physrevb.42.9458 · Cited by 4,048
New empirical approach for the structure and energy of covalent systems
Tersoff, J. (1988) · Physical review. B, Condensed matter · doi:10.1103/physrevb.37.6991 · Cited by 3,585
Gaussian Approximation Potentials: The Accuracy of Quantum Mechanics, without the Electrons
Bartók, A. P., Payne, M. C., Kondor, R., & Csányi, G. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.136403 · Cited by 3,242
Self-organized formation of topographically correct feature maps
Kohonen, T. (1982) · Biological Cybernetics · Cited by 2,995
Molecular mechanics. The MM3 force field for hydrocarbons. 1
Allinger, N. L., Yuh, Y. H., & Lii, J. (1989) · Journal of the American Chemical Society · doi:10.1021/ja00205a001 · Cited by 2,804
Erratum: Modeling solid-state chemistry: Interatomic potentials for multicomponent systems
Tersoff, J. (1990) · Physical review. B, Condensed matter · doi:10.1103/physrevb.41.3248.2 · Cited by 2,772
Modified embedded-atom potentials for cubic materials and impurities
Baskes, M. I. (1992) · Physical review. B, Condensed matter · doi:10.1103/physrevb.46.2727 · Cited by 2,136
Atom-centered symmetry functions for constructing high-dimensional neural network potentials
Behler, J. (2011) · The Journal of Chemical Physics · doi:10.1063/1.3553717 · Cited by 1,663
Self-citationEmpirical interatomic potential for silicon with improved elastic properties
Tersoff, J. (1988) · Physical review. B, Condensed matter · doi:10.1103/physrevb.38.9902 · Cited by 1,589
New empirical model for the structural properties of silicon
Tersoff, J. (1986) · Physical Review Letters · doi:10.1103/physrevlett.56.632 · Cited by 1,394
An introduction to neural computing
Kohonen, T. (1988) · Neural Networks · doi:10.1016/0893-6080(88)90020-2 · Cited by 1,212
Predicting Crystal Structures: The Parrinello-Rahman Method Revisited
Martoňák, R., Laio, A., & Parrinello, M. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.075503 · Cited by 894
Neural networks for self-learning control systems
Nguyen, D., & Widrow, B. C. (1990) · IEEE Control Systems Magazine · doi:10.1109/37.55119 · Cited by 859
The existence of persistent states in the brain
Little, W. A. (1974) · Mathematical Biosciences · doi:10.1016/0025-5564(74)90031-5 · Cited by 678
Neural networks: A new method for solving chemical problems or just a passing phase?
Zupan, J., & Gasteiger, J. (1991) · Analytica Chimica Acta · doi:10.1016/s0003-2670(00)80865-x · Cited by 581
Yingwei, L., Sundararajan, N., & Saratchandran, P. (1997) · Neural Computation · doi:10.1162/neco.1997.9.2.461 · Cited by 509
Protein secondary structure prediction with a neural network.
Holley, L. H., & Karplus, M. (1989) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.86.1.152 · Cited by 502
Neural network models of potential energy surfaces
Blank, T. B., Brown, S. D., Calhoun, A. W., & Doren, D. J. (1995) · The Journal of Chemical Physics · doi:10.1063/1.469597 · Cited by 502
Molecular potential energy surfaces by interpolation
Ischtwan, J., & Collins, M. A. (1994) · The Journal of Chemical Physics · doi:10.1063/1.466801 · Cited by 475
QM/MM Methods for Biological Systems
Senn, H. M., & Thiel, W. (2006) · Springer eBooks · doi:10.1007/128_2006_084 · Cited by 435
Representing high-dimensional potential-energy surfaces for reactions at surfaces by neural networks
Lorenz, S., Groß, A., & Scheffler, M. (2004) · Chemical Physics Letters · doi:10.1016/j.cplett.2004.07.076 · Cited by 402
Molecular potential-energy surfaces for chemical reaction dynamics
Collins, M. A. (2002) · Theoretical Chemistry Accounts · doi:10.1007/s00214-002-0383-5 · Cited by 401
High-dimensional neural-network potentials for multicomponent systems: Applications to zinc oxide
Artrith, N., Morawietz, T., & Behler, J. (2011) · Physical Review B · doi:10.1103/physrevb.83.153101 · Cited by 395
Self-citationNucleation mechanism for the direct graphite-to-diamond phase transition
Khaliullin, R. Z., Eshet, H., Kühne, T. D., Behler, J., & Parrinello, M. (2011) · Nature Materials · doi:10.1038/nmat3078 · Cited by 370
Self-citationPotential Energy Surfaces Fitted by Artificial Neural Networks
Handley, C. M., & Popelier, P. L. A. (2010) · The Journal of Physical Chemistry A · doi:10.1021/jp9105585 · Cited by 324
Smooth Function Approximation Using Neural Networks
Ferrari, S., & Stengel, R. F. (2005) · IEEE Transactions on Neural Networks · doi:10.1109/tnn.2004.836233 · Cited by 317
Dissociation of O 2 at Al(111): The Role of Spin Selection Rules
Behler, J., Delley, B., Lorenz, S., Reuter, K., & Scheffler, M. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.036104 · Cited by 292
Self-citationRepresentation of the 6D potential energy surface for a diatomic molecule near a solid surface
Busnengo, H. F., Salin, A., & Dong, W. (2000) · The Journal of Chemical Physics · doi:10.1063/1.481377 · Cited by 282
So, S., & Karplus, M. (1996) · Journal of Medicinal Chemistry · doi:10.1021/jm9507035 · Cited by 259
Manzhos, S., & Carrington, T. (2006) · The Journal of Chemical Physics · doi:10.1063/1.2336223 · Cited by 257
Approximation of function and its derivatives using radial basis function networks
Mai‐Duy, N., & Tran‐Cong, T. (2003) · Applied Mathematical Modelling · doi:10.1016/s0307-904x(02)00101-4 · Cited by 239
Behler, J., Martoňák, R., Donadio, D., & Parrinello, M. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.185501 · Cited by 235
Self-citationJordan, M. J. T., Thompson, K. C., & Collins, M. A. (1995) · The Journal of Chemical Physics · doi:10.1063/1.469296 · Cited by 221
A Nested Molecule-Independent Neural Network Approach for High-Quality Potential Fits
Manzhos, S., Wang, X., Dawes, R., & Carrington, T. (2005) · The Journal of Physical Chemistry A · doi:10.1021/jp055253z · Cited by 197
Using neural networks to represent potential surfaces as sums of products
Manzhos, S., & Carrington, T. (2006) · The Journal of Chemical Physics · doi:10.1063/1.2387950 · Cited by 184
Li, G., Hu, J., Wang, S., Georgopoulos, P. G., Schoendorf, J., & RABITZ, H. A. (2006) · The Journal of Physical Chemistry A · doi:10.1021/jp054148m · Cited by 180
Artificial neural network methods in quantum mechanics
Lagaris, I. E., Likas, A. C., & Fotiadis, D. I. (1997) · Computer Physics Communications · doi:10.1016/s0010-4655(97)00054-4 · Cited by 179
On the Use of Neural Network Ensembles in QSAR and QSPR
Agrafiotis, D. K., Cedeño, W., & Lobanov, V. S. (2002) · Journal of Chemical Information and Computer Sciences · doi:10.1021/ci0203702 · Cited by 175
Optimal filtering algorithms for fast learning in feedforward neural networks
Shah, S., Palmieri, F., & Datum, M. (1992) · Neural Networks · doi:10.1016/s0893-6080(05)80139-x · Cited by 172
Balabin, R. M., & Lomakina, E. I. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3206326 · Cited by 169
Brown, D. F. R., Gibbs, M., & Clary, D. C. (1996) · The Journal of Chemical Physics · doi:10.1063/1.472596 · Cited by 159
Representing molecule-surface interactions with symmetry-adapted neural networks
Behler, J., Lorenz, S., & Reuter, K. (2007) · The Journal of Chemical Physics · doi:10.1063/1.2746232 · Cited by 156
Self-citationRaff, L. M., Malshe, M., Hagan, M., Doughan, D. I., Rockley, M. G., & Komanduri, R. (2005) · The Journal of Chemical Physics · doi:10.1063/1.1850458 · Cited by 155
STINSON, S. C. (2001) · Chemical & Engineering News · doi:10.1021/cen-v079n040.p079 · Cited by 154
Approximations of Functions by a Multilayer Perceptron: a New Approach
Attali, J.-G., & Pagès, G. (1997) · Neural Networks · doi:10.1016/s0893-6080(97)00010-5 · Cited by 150
Handley, C. M., Hawe, G. I., Kell, D. B., & Popelier, P. L. A. (2009) · Physical Chemistry Chemical Physics · doi:10.1039/b905748j · Cited by 142
Lorenz, S., Scheffler, M., & Groß, A. (2006) · Physical Review B · doi:10.1103/physrevb.73.115431 · Cited by 135
Ab initioquality neural-network potential for sodium
Eshet, H., Khaliullin, R. Z., Kühne, T. D., Behler, J., & Parrinello, M. (2010) · Physical Review B · doi:10.1103/physrevb.81.184107 · Cited by 134
Self-citationRepresentation of Intermolecular Potential Functions by Neural Networks
Gassner, H., Probst, M. M., Lauenstein, A., & Hermansson, K. (1998) · The Journal of Physical Chemistry A · doi:10.1021/jp972209d · Cited by 132
Nonadiabatic effects in the dissociation of oxygen molecules at the Al(111) surface
Behler, J., Reuter, K., & Scheffler, M. (2008) · Physical Review B · doi:10.1103/physrevb.77.115421 · Cited by 131
Self-citationMSnet: A Neural Network which Classifies Mass Spectra
Curry, B., & Rumelhart, D. E. (1990) · Tetrahedron Computer Methodology · doi:10.1016/0898-5529(90)90053-b · Cited by 131
Abdi, H. (1994) · Journal of Biological Systems · doi:10.1142/s0218339094000179 · Cited by 130
Prudente, F. V., Acioli, P. H., & Neto, J. J. S. (1998) · The Journal of Chemical Physics · doi:10.1063/1.477550 · Cited by 122
Pukrittayakamee, A., Malshe, M., Hagan, M., Raff, L. M., Narulkar, R., Bukkapatnum, S., & Komanduri, R. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3095491 · Cited by 122
Combined first-principles calculation and neural-network correction approach for heat of formation
Hu, L., Wang, X., Wong, L., & Chen, G. (2003) · The Journal of Chemical Physics · doi:10.1063/1.1630951 · Cited by 122
Khaliullin, R. Z., Eshet, H., Kühne, T. D., Behler, J., & Parrinello, M. (2010) · Physical Review B · doi:10.1103/physrevb.81.100103 · Cited by 117
Self-citationTheory and Applications of Neural Computing in Chemical Science
Sumpter, B. G., Getino, C., & Noid, D. W. (1994) · Annual Review of Physical Chemistry · doi:10.1146/annurev.pc.45.100194.002255 · Cited by 114
Manzhos, S., & Carrington, T. (2008) · The Journal of Chemical Physics · doi:10.1063/1.3021471 · Cited by 111
Adaptive, global, extended Kalman filters for training feedforward neural networks
Blank, T. B., & Brown, S. D. (1994) · Journal of Chemometrics · doi:10.1002/cem.1180080605 · Cited by 109
Using redundant coordinates to represent potential energy surfaces with lower-dimensional functions
Manzhos, S., & Carrington, T. (2007) · The Journal of Chemical Physics · doi:10.1063/1.2746846 · Cited by 107
Maisuradze, G. G., Thompson, D. L., Wagner, A. F., & Minkoff, M. (2003) · The Journal of Chemical Physics · doi:10.1063/1.1617271 · Cited by 102
Training neural networks: backpropagation vs. genetic algorithms
Siddique, M. N. H., & Tokhi, M. O. (2002) · International Joint Conference on Neural Networks (IJCNN) · doi:10.1109/ijcnn.2001.938792 · Cited by 101
Representing molecule-surface interactions with symmetry-adapted neural networks
Behler, J., Lorenz, S., & Reuter, K. (2007) · Max Planck Institute for Plasma Physics · Cited by 100
Self-citationNonadiabatic potential-energy surfaces by constrained density-functional theory
Behler, J., Delley, B., Reuter, K., & Scheffler, M. (2007) · Physical Review B · doi:10.1103/physrevb.75.115409 · Cited by 97
Self-citationFast curve fitting using neural networks
Bishop, C. M., & Roach, C. M. (1992) · Review of Scientific Instruments · doi:10.1063/1.1143696 · Cited by 97
Potential energy surfaces for macromolecules. A neural network technique
Sumpter, B. G., & Noid, D. W. (1992) · Chemical Physics Letters · doi:10.1016/0009-2614(92)85498-y · Cited by 94
Neural Network Models of Potential Energy Surfaces: Prototypical Examples
Witkoskie, J. B., & Doren, D. J. (2004) · Journal of Chemical Theory and Computation · doi:10.1021/ct049976i · Cited by 94
Fingerprints for Spin-Selection Rules in the Interaction Dynamics of O2 at Al(111)
Carbogno, C., Behler, J., Groß, A., & Reuter, K. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.096104 · Cited by 92
Self-citationPattern recognition of the 1H NMR spectra of sugar alditols using a neural network
Thomsen, J. U., & Meyer, B. (1989) · Journal of Magnetic Resonance (1969) · doi:10.1016/0022-2364(89)90021-8 · Cited by 88
Behler, J., Martoňák, R., Donadio, D., & Parrinello, M. (2008) · physica status solidi (b) · doi:10.1002/pssb.200844219 · Cited by 84
Self-citationSignatures of nonadiabatic O2 dissociation at Al(111): First-principles fewest-switches study
Carbogno, C., Behler, J., Reuter, K., & Groß, A. (2010) · Physical Review B · doi:10.1103/physrevb.81.035410 · Cited by 84
Self-citationLudwig, J., & Vlachos, D. G. (2007) · The Journal of Chemical Physics · doi:10.1063/1.2794338 · Cited by 80
Reibnegger, G. J., Weiss, G., Werner‐Felmayer, G., Judmaier, G., & WACHTER, H. (1991) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.88.24.11426 · Cited by 74
Description of the potential energy surface of the water dimer with an artificial neural network
No, K. T., Chang, B.-H., Kim, S. Y., Jhon, M. S., & Scheraga, H. A. (1997) · Chemical Physics Letters · doi:10.1016/s0009-2614(97)00448-x · Cited by 72
Dynamically Polarizable Water Potential Based on Multipole Moments Trained by Machine Learning
Handley, C. M., & Popelier, P. L. A. (2009) · Journal of Chemical Theory and Computation · doi:10.1021/ct800468h · Cited by 71
Beyond Point Charges: Dynamic Polarization from Neural Net Predicted Multipole Moments
Darley, M. G., Handley, C. M., & Popelier, P. L. A. (2008) · Journal of Chemical Theory and Computation · doi:10.1021/ct800166r · Cited by 71
Guo, Y., Kawano, A., Thompson, D. L., Wagner, A. F., & Minkoff, M. (2004) · The Journal of Chemical Physics · doi:10.1063/1.1777572 · Cited by 67
Malshe, M., Narulkar, R., Raff, L. M., Hagan, M., Bukkapatnam, S., Agrawal, P. M., & Komanduri, R. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3124802 · Cited by 66
Neural network models of nuclear systematics
Gernoth, K. A., Clark, J. W., Prater, J. S., & Bohr, H. G. (1993) · Physics Letters B · doi:10.1016/0370-2693(93)90738-4 · Cited by 66
Neural networks in computational materials science: training algorithms
Skinner, A., & Broughton, J. Q. (1995) · Modelling and Simulation in Materials Science and Engineering · doi:10.1088/0965-0393/3/3/006 · Cited by 66
Houlding, S., Liem, S. Y., & Popelier, P. L. A. (2007) · International Journal of Quantum Chemistry · doi:10.1002/qua.21507 · Cited by 66
Dissociative valence force field potential for silicon
Brenner, D. W., & Garrison, B. J. (1986) · Physical review. B, Condensed matter · doi:10.1103/physrevb.34.1304 · Cited by 65
Prudente, F. V., & Neto, J. J. S. (1998) · Chemical Physics Letters · doi:10.1016/s0009-2614(98)00207-3 · Cited by 64
Potential energy surface, kinetics, and dynamics study of the Cl+CH4→HCl+CH3 reaction
Rángel, C., Navarrete, M., Corchado, J. C., & Espinosa-Garcia, J. (2006) · The Journal of Chemical Physics · doi:10.1063/1.2179067 · Cited by 63
A polarizable force field for water using an artificial neural network
Cho, K. H., No, K. T., & Scheraga, H. A. (2002) · Journal of Molecular Structure · doi:10.1016/s0022-2860(02)00299-5 · Cited by 59
Fitting sparse multidimensional data with low-dimensional terms
Manzhos, S., Yamashita, K., & Carrington, T. (2009) · Computer Physics Communications · doi:10.1016/j.cpc.2009.05.022 · Cited by 58
Malshe, M., Raff, L. M., Rockley, M. G., Hagan, M., Agrawal, P. M., & Komanduri, R. (2007) · The Journal of Chemical Physics · doi:10.1063/1.2768948 · Cited by 58
Keil, M., Exner, T. E., & Brickmann, J. (2004) · Journal of Computational Chemistry · doi:10.1002/jcc.10361 · Cited by 58
Fitting potential-energy surfaces: A search in the function space by directed genetic programming
Makarov, D. E., & Metiu, H. I. (1998) · The Journal of Chemical Physics · doi:10.1063/1.475421 · Cited by 57
Agrawal, P. M., Raff, L. M., Hagan, M., & Komanduri, R. (2006) · The Journal of Chemical Physics · doi:10.1063/1.2185638 · Cited by 56
Improving the B3LYP bond energies by using the X1 method
Wu, J., & Xu, X. (2008) · The Journal of Chemical Physics · doi:10.1063/1.2998231 · Cited by 56
Neural networks as data mining tools in drug design
Gasteiger, J., Teckentrup, A., Terfloth, L., & Spycher, S. (2003) · Journal of Physical Organic Chemistry · doi:10.1002/poc.597 · Cited by 55
Numerical solution of the Schrödinger equation by neural network and genetic algorithm
Sugawara, M. (2001) · Computer Physics Communications · doi:10.1016/s0010-4655(01)00286-7 · Cited by 53
Le, H. M., & Raff, L. M. (2008) · The Journal of Chemical Physics · doi:10.1063/1.2918503 · Cited by 50
Le, H. M., Huynh, S., & Raff, L. M. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3159748 · Cited by 50
Neural networks as tools to solve problems in physics and chemistry
Duch, W., & Diercksen, G. H. F. (1994) · Computer Physics Communications · doi:10.1016/0010-4655(94)90158-9 · Cited by 48
Applications of neural networks to fitting interatomic potential functions
Hobday, S., Smith, R., & Belbruno, J. (1999) · Modelling and Simulation in Materials Science and Engineering · doi:10.1088/0965-0393/7/3/308 · Cited by 46
Silicon potentials investigated using density functional theory fitted neural networks
Sanville, E., Bholoa, A., Smith, R., & Kenny, S. D. (2008) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/20/28/285219 · Cited by 44
Parametrization of analytic interatomic potential functions using neural networks
Malshe, M., Narulkar, R., Raff, L. M., Hagan, M., Bukkapatnam, S., & Komanduri, R. (2008) · The Journal of Chemical Physics · doi:10.1063/1.2957490 · Cited by 41
An improved neural network method for solving the Schrödinger equation
Manzhos, S., & Carrington, T. (2009) · Canadian Journal of Chemistry · doi:10.1139/v09-025 · Cited by 41
Brunak, S., Engelbrecht, J., & Knudsen, S. (1990) · Nature · doi:10.1038/343123a0 · Cited by 40
Prediction of enthalpy of alkanes by the use of radial basis function neural networks
Yao, X., Zhang, X., Zhang, R., Liu, M., Hu, Z., & Fan, B. (2001) · Computers & Chemistry · doi:10.1016/s0097-8485(00)00110-8 · Cited by 40
Opening Up the Black Box of Artificial Neural Networks
Spining, M. T., Darsey, J. A., Sumpter, B. G., & Nold, D. W. (1994) · Journal of Chemical Education · doi:10.1021/ed071p406 · Cited by 38
A new approach to potential fitting using neural networks
Bholoa, A., Kenny, S. D., & Smith, R. (2006) · Nuclear Instruments and Methods in Physics Research Section B Beam Interactions with Materials and Atoms · doi:10.1016/j.nimb.2006.11.040 · Cited by 36
Tafeit, E., Estelberger, W., Horejsi, R., Moeller, R., Oettl, K., Vrečko, K., & Reibnegger, G. J. (1996) · Journal of Molecular Graphics · doi:10.1016/0263-7855(95)00087-9 · Cited by 35
Bittencourt, A. C. P., Prudente, F. V., & Vianna, J. D. M. (2003) · Chemical Physics · doi:10.1016/j.chemphys.2003.10.015 · Cited by 35
Applications of genetic algorithms and neural networks to interatomic potentials
Hobday, S., Smith, R., & Belbruno, J. (1999) · Nuclear Instruments and Methods in Physics Research Section B Beam Interactions with Materials and Atoms · doi:10.1016/s0168-583x(99)00057-9 · Cited by 34
Duan, X.-M., Li, Z., Song, G., Wang, W., Chen, G.-H., & Fan, K.-N. (2005) · Chemical Physics Letters · doi:10.1016/j.cplett.2005.05.046 · Cited by 34
Using a neural network based method to solve the vibrational Schrödinger equation for H2O
Manzhos, S., Yamashita, K., & Carrington, T. (2009) · Chemical Physics Letters · doi:10.1016/j.cplett.2009.04.031 · Cited by 32
Le, H. M., & Raff, L. M. (2009) · The Journal of Physical Chemistry A · doi:10.1021/jp907507z · Cited by 31
Artificial neural network study for the estimation of the C–H bond dissociation enthalpies
Urata, S., Takada, A., Uchimaru, T., Chandra, A. K., & Sekiya, A. (2002) · Journal of Fluorine Chemistry · doi:10.1016/s0022-1139(02)00128-8 · Cited by 30
Filho, T. M. R., Oliveira, Z. T., Malbouisson, L. A. C., Gargano, R., & Neto, J. J. S. (2003) · International Journal of Quantum Chemistry · doi:10.1002/qua.10696 · Cited by 28
Bukkapatnam, S., Malshe, M., Agrawal, P. M., Raff, L. M., & Komanduri, R. (2006) · Physical Review B · doi:10.1103/physrevb.74.224102 · Cited by 27
Rabow, A. A., & Scheraga, H. A. (1993) · Journal of Molecular Biology · doi:10.1006/jmbi.1993.1468 · Cited by 26
Agrawal, P. M., Samadh, A. N. A., Raff, L. M., Hagan, M., Bukkapatnam, S., & Komanduri, R. (2005) · The Journal of Chemical Physics · doi:10.1063/1.2131069 · Cited by 25
Modeling the Crystallization Kinetic Rates of Lactose via Artificial Neural Network
Wong, S. Y., Bund, R. K., Connelly, R. K., & Hartel, R. W. (2010) · Crystal Growth & Design · doi:10.1021/cg100122y · Cited by 25
Darsey, J. A., Noid, D. W., & Upadhyaya, B. R. (1991) · Chemical Physics Letters · doi:10.1016/0009-2614(91)90066-i · Cited by 23
Mapping Potential Energy Surfaces by Neural Networks: The ethanol/Au(111) interface
Latino, D. A. R. S., Fartaria, R. P. S., Freitas, F. F. M., Aires‐de‐Sousa, J., & Fernandes, F. M. S. S. (2008) · Journal of Electroanalytical Chemistry · doi:10.1016/j.jelechem.2008.07.032 · Cited by 22
Neural network potential-energy surfaces for atomistic simulations
Behler, J. (2010) · Chemical modelling · doi:10.1039/9781849730884-00001 · Cited by 18
Self-citationClassification of Cm i energy levels using counterpropagation neural networks
Peterson, K. L. (1990) · Physical Review A · doi:10.1103/physreva.41.2457 · Cited by 18
Estimating correlation energy of diatomic molecules and atoms with neural networks
Silva, G. M. E., Acioli, P. H., & Pedroza, A. C. (1997) · Journal of Computational Chemistry · doi:10.1002/(sici)1096-987x(199708)18:11 · Cited by 18
Malshe, M., Pukrittayakamee, A., Raff, L. M., Hagan, M., Bukkapatnam, S., & Komanduri, R. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3231686 · Cited by 13
Neural network‐based modeling for semi‐batch and nonisothermal free radical polymerization
Curteanu, S., & Petrila, C. (2005) · International Journal of Quantum Chemistry · doi:10.1002/qua.20902 · Cited by 13
Pair potentials from diffraction data on liquids: A neural network solution
Tóth, G., Király, N., & Vrabecz, A. (2005) · The Journal of Chemical Physics · doi:10.1063/1.2102887 · Cited by 12
Fischer, T. H., Petersen, W. P., & Lüthi, H. P. (1995) · Journal of Computational Chemistry · doi:10.1002/jcc.540160802 · Cited by 12
Approach to potential energy surfaces by neural networks. A review of recent work
Latino, D. A. R. S., Fartaria, R. P. S., Freitas, F. F. M., Aires‐de‐Sousa, J., & Fernandes, F. M. S. S. (2009) · International Journal of Quantum Chemistry · doi:10.1002/qua.22198 · Cited by 11
Braga, A. P., Braga, J. P., & Belchior, J. C. (1997) · The Journal of Chemical Physics · doi:10.1063/1.475298 · Cited by 11
Classification of Cm ii and Pu i energy levels using counterpropagation neural networks
Peterson, K. L. (1991) · Physical Review A · doi:10.1103/physreva.44.126 · Cited by 11
Quantum neural networks can predict binding free energies for enzymatic inhibitors
Braunheim, B. B., Bagdassarian, C. K., Schramm, V. L., & Schwartz, S. D. (2000) · International Journal of Quantum Chemistry · doi:10.1002/(sici)1097-461x(2000)78:3 · Cited by 9
Neural networks: New tools for modelling and data analysis in science
Clark, J. W. (2007) · Springer eBooks · doi:10.1007/bfb0104277 · Cited by 8
Neural modeling of torsional potential hypersurfaces in non-rigid molecules
Muñoz‐Caro, C., & Niño, A. (1998) · Computers & Chemistry · doi:10.1016/s0097-8485(98)00008-4 · Cited by 7
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
Computer Simulation of Liquids
Allen, M. P., & Tildesley, D. J. (2017) · doi:10.1093/oso/9780198803195.001.0001 · Cited by 20,945
ANI-1: an extensible neural network potential with DFT accuracy at force field computational cost
Smith, J. S., Isayev, O., & Roitberg, A. E. (2017) · Chemical Science · doi:10.1039/c6sc05720a · Cited by 1,921
Perspective: Machine learning potentials for atomistic simulations
Behler, J. (2016) · The Journal of Chemical Physics · doi:10.1063/1.4966192 · Cited by 1,489
Self-citationQuantum-chemical insights from deep tensor neural networks
Schütt, K. T., Arbabzadah, F., Chmiela, S., Müller, K. R., & Tkatchenko, A. (2017) · Nature Communications · doi:10.1038/ncomms13890 · Cited by 1,445
Machine learning of accurate energy-conserving molecular force fields
Chmiela, S., Tkatchenko, A., Sauceda, H. E., Poltavsky, I., Schütt, K. T., & Müller, K. (2017) · Science Advances · doi:10.1126/sciadv.1603015 · Cited by 1,237
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.
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