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Most cited papers in Physics and Astronomy

What are the most cited papers in Physics and Astronomy?

The most cited paper in Physics and Astronomy is "Generalized Gradient Approximation Made Simple" (John P. Perdew, Kieron Burke, Matthias Ernzerhof, 1996), with 217,166 citations. Next come "Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set" (123,939) and "Density-functional thermochemistry. III. The role of exact exchange" (104,174).

Showing 50 of 99 papers. Every paper with more than 14,172 citations is listed.

Most cited papers, sortable by citations and release date
#Paper
1 Generalized Gradient Approximation Made Simple John P. Perdew, Kieron Burke, Matthias Ernzerhof · Physical Review Letters Open access 28 Oct 1996 217,166
2 Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set Georg Kresse, Jürgen Furthmüller · Physical review. B, Condensed matter 15 Oct 1996 123,939
3 Density-functional thermochemistry. III. The role of exact exchange Axel D. Becke · The Journal of Chemical Physics Apr 1993 104,174
4 Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density Chengteh Lee, Weitao Yang, Robert G. Parr · Physical review. B, Condensed matter 15 Jan 1988 101,337
5 Projector augmented-wave method Peter E. Blöchl · Physical review. B, Condensed matter 15 Dec 1994 93,392
6 From ultrasoft pseudopotentials to the projector augmented-wave method Georg Kresse, Daniel P. Joubert · Physical review. B, Condensed matter 15 Jan 1999 85,965
7 Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set Georg Kresse, Jürgen Furthmüller · Computational Materials Science Jul 1996 76,620
8 Special points for Brillouin-zone integrations Hendrik J. Monkhorst, J.D. Pack · Physical review. B, Solid state 15 Jun 1976 71,952
9 Self-Consistent Equations Including Exchange and Correlation Effects Walter Kohn, L. J. Sham · Physical Review Open access 15 Nov 1965 64,427
10 A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu Stefan Grimme, Jens Antony, Stephan Ehrlich et al. · The Journal of Chemical Physics 16 Apr 2010 59,482
11 Density-functional exchange-energy approximation with correct asymptotic behavior Axel D. Becke · Physical Review A Sep 1988 54,107
12 Ab initio molecular dynamics for liquid metals Georg Kresse, J. Häfner · Physical review. B, Condensed matter 1993 45,996
13 Multiwfn: A multifunctional wavefunction analyzer Tian Lu, Feiwu Chen · Journal of Computational Chemistry 8 Dec 2011 45,639
14 Optimization by Simulated Annealing Scott Kirkpatrick, C. D. Gelatt, Mario P. Vecchi · Science 13 May 1983 45,251
15 Collective dynamics of ‘small-world’ networks Duncan J. Watts, Steven H. Strogatz · Nature Jun 1998 43,707
16 Comparison of simple potential functions for simulating liquid water William L. Jorgensen, Jayaraman Chandrasekhar, Jeffry D. Madura et al. · The Journal of Chemical Physics 15 Jul 1983 42,894
17 The Strength of Weak Ties Mark S. Granovetter · American Journal of Sociology May 1973 39,087
18 Equation of State Calculations by Fast Computing Machines N. Metropolis, Arianna W. Rosenbluth, M. N. Rosenbluth et al. · The Journal of Chemical Physics Jun 1953 37,517
19 Emergence of Scaling in Random Networks Albert-Ĺaszló Barabási, Réka Albert · Science Open access 15 Oct 1999 36,811
20 Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen Thom H. Dunning · The Journal of Chemical Physics 15 Jan 1989 32,090
21 Molecular dynamics with coupling to an external bath Herman J. C. Berendsen, Johan P. M. Postma, Wilfred F. van Gunsteren et al. · The Journal of Chemical Physics Open access 15 Oct 1984 31,502
22 Particle mesh Ewald: An N ⋅log( N ) method for Ewald sums in large systems Tom Darden, Darrin M. York, Lee G. Pedersen · The Journal of Chemical Physics Open access 15 Jun 1993 31,396
23 Semiempirical GGA‐type density functional constructed with a long‐range dispersion correction Stefan Grimme · Journal of Computational Chemistry 5 Sep 2006 31,395
24 Balanced basis sets of split valence, triple zeta valence and quadruple zeta valence quality for H to Rn: Design and assessment of accuracy Florian Weigend, Reinhart Ahlrichs · Physical Chemistry Chemical Physics 2005 31,196
25 The M06 suite of density functionals for main group thermochemistry, thermochemical kinetics, noncovalent interactions, excited states, and transition elements: two new functionals and systematic testing of four M06-class functionals and 12 other functionals Yan Zhao, Donald G. Truhlar · Theoretical Chemistry Accounts Open access 12 Jul 2007 30,648
26 Greedy function approximation: A gradient boosting machine. Jerome H. Friedman · The Annals of Statistics Oct 2001 30,593
27 QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials Paolo Giannozzi et al. · Journal of Physics Condensed Matter Open access Sep 2009 29,445
28 Effect of the damping function in dispersion corrected density functional theory Stefan Grimme, Stephan Ehrlich, Lars Goerigk · Journal of Computational Chemistry Mar 2011 28,444
29 An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments W. C. Oliver, George M. Pharr · Journal of materials research/Pratt's guide to venture capital sources Jun 1992 27,030
30 Geant4—a simulation toolkit Stefano Agostinelli et al. · Nuclear Instruments and Methods in Physics Research Section A Accelerators Spectrometers Detectors and Associated Equipment Open access127 authors 21 Jun 2003 25,572
31 Accurate and simple analytic representation of the electron-gas correlation energy John P. Perdew, Yue Wang · Physical review. B, Condensed matter 15 Jun 1992 25,193
32 The electronic properties of graphene Antonio H. Castro Neto, Francisco Javier Esteban Guinea, Nuno M. R. Peres et al. · Reviews of Modern Physics Open access 14 Jan 2009 24,968
33 Canonical dynamics: Equilibrium phase-space distributions William Graham Hoover · Physical Review A Mar 1985 23,918
34 A quantitative description of membrane current and its application to conduction and excitation in nerve Alan Lloyd Hodgkin, A. F. Huxley · The Journal of Physiology Open access 28 Aug 1952 23,507
35 The Tragedy of the Commons Garrett Hardin · Science 13 Dec 1968 23,379
36 A smooth particle mesh Ewald method Ulrich Essmann, L. Perera, Max L. Berkowitz et al. · The Journal of Chemical Physics 15 Nov 1995 23,377
37 Soft self-consistent pseudopotentials in a generalized eigenvalue formalism David Vanderbilt · Physical review. B, Condensed matter 15 Apr 1990 23,211
38 Ab initio molecular-dynamics simulation of the liquid-metal–amorphous-semiconductor transition in germanium Georg Kresse, J. Häfner · Physical review. B, Condensed matter 15 May 1994 23,146
39 The Ecological Approach to Visual Perception Marc H. Bornstein, James J. Gibson · Journal of Aesthetics and Art Criticism 1980 23,143
40 Atoms, molecules, solids, and surfaces: Applications of the generalized gradient approximation for exchange and correlation John P. Perdew, J. A. Chevary, S. H. Vosko et al. · Physical review. B, Condensed matter 15 Sep 1992 22,339
41 The calculation of small molecular interactions by the differences of separate total energies. Some procedures with reduced errors Samuel Francis Boys, Fernando Bernardi · Molecular Physics Oct 1970 22,220
42 A climbing image nudged elastic band method for finding saddle points and minimum energy paths Graeme Henkelman, Blas Pedro Uberuaga, Hannes Jónsson · The Journal of Chemical Physics 8 Dec 2000 21,923
43 Fast unfolding of communities in large networks Vincent D. Blondel, Jean‐Loup Guillaume, Renaud Lambiotte et al. · Journal of Statistical Mechanics Theory and Experiment Open access Oct 2008 21,858
44 Numerical integration of the cartesian equations of motion of a system with constraints: molecular dynamics of n-alkanes Jean-Paul Ryckaert, Giovanni Ciccotti, Herman J. C. Berendsen · Journal of Computational Physics Mar 1977 21,804
45 Multilayer feedforward networks are universal approximators Kurt Hornik, Maxwell B. Stinchcombe, Halbert White · Neural Networks 1989 21,792
46 Two-dimensional gas of massless Dirac fermions in graphene Kostya S. Novoselov, Andre K. Geim, С. В. Морозов et al. · Nature Open access Nov 2005 21,624
47 Reducing the Dimensionality of Data with Neural Networks Geoffrey E. Hinton, Ruslan Salakhutdinov · Science 27 Jul 2006 21,368
48 Software survey: VOSviewer, a computer program for bibliometric mapping Nees Jan van Eck, Ludo Waltman · Scientometrics Open access 30 Dec 2009 21,265
49 Measurement of the Elastic Properties and Intrinsic Strength of Monolayer Graphene Changgu Lee, Xiaoding Wei, Jeffrey W. Kysar et al. · Science 17 Jul 2008 20,935
50 Accurate spin-dependent electron liquid correlation energies for local spin density calculations: a critical analysis S. H. Vosko, L. Wilk, Marwan Nusair · Canadian Journal of Physics Open access Aug 1980 20,860

Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.