The DOI matches its Crossref record; 44 of the 44 references it cites were found in a registry or an index.
From ultrasoft pseudopotentials to the projector augmented-wave method
Abstract
The formal relationship between ultrasoft (US) Vanderbilt-type pseudopotentials and Bl\"ochl's projector augmented wave (PAW) method is derived. It is shown that the total energy functional for US pseudopotentials can be obtained by linearization of two terms in a slightly modified PAW total energy functional. The Hamilton operator, the forces, and the stress tensor are derived for this modified PAW functional. A simple way to implement the PAW method in existing plane-wave codes supporting US pseudopotentials is pointed out. In addition, critical tests are presented to compare the accuracy and efficiency of the PAW and the US pseudopotential method with relaxed core all electron methods. These tests include small molecules $({\mathrm{H}}_{2}{,\mathrm{}\mathrm{H}}_{2}{\mathrm{O},\mathrm{}\mathrm{Li}}_{2}{,\mathrm{}\mathrm{N}}_{2}{,\mathrm{}\mathrm{F}}_{2}{,\mathrm{}\mathrm{BF}}_{3}{,\mathrm{}\mathrm{SiF}}_{4})$ and several bulk systems (diamond, Si, V, Li, Ca, ${\mathrm{CaF}}_{2},$ Fe, Co, Ni). Particular attention is paid to the bulk properties and magnetic energies of Fe, Co, and Ni.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Citations
Cites
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
Kresse, G., & Furthmüller, J. (1996) · Physical Review B · doi:10.1103/physrevb.54.11169 · Cited by 123,652
Self-citationProjector augmented-wave method
Blöchl, P. E. (1994) · Physical Review B · doi:10.1103/physrevb.50.17953 · Cited by 92,732
Kresse, G., & Furthmüller, J. (1996) · Computational Materials Science · doi:10.1016/0927-0256(96)00008-0 · Cited by 76,871
Self-citationSelf-Consistent Equations Including Exchange and Correlation Effects
Kohn, W., & Sham, L. J. (1965) · Physical Review · doi:10.1103/physrev.140.a1133 · Cited by 64,135
Soft self-consistent pseudopotentials in a generalized eigenvalue formalism
Vanderbilt, D. (1990) · Physical Review B · doi:10.1103/physrevb.41.7892 · Cited by 23,185
Perdew, J. P., Chevary, J. A., Vosko, S. H., Jackson, K. A., Pederson, M. R., Singh, D. J., & Fiolhais, C. (1992) · Physical review. B, Condensed matter · doi:10.1103/physrevb.46.6671 · Cited by 22,459
Self-interaction correction to density-functional approximations for many-electron systems
Perdew, J. P., & Zunger, A. (1981) · Physical Review B · doi:10.1103/physrevb.23.5048 · Cited by 20,887
Vosko, S. H., Wilk, L., & Nusair, M. (1980) · Canadian Journal of Physics · doi:10.1139/p80-159 · Cited by 20,807
Ground State of the Electron Gas by a Stochastic Method
Ceperley, D. M., & Alder, B. J. (1980) · Physical Review Letters · doi:10.1103/physrevlett.45.566 · Cited by 14,561
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
Payne, M. C., Teter, M. P., Allan, D. C., Arias, T. A., & Joannopoulos, J. D. (1992) · Reviews of Modern Physics · doi:10.1103/revmodphys.64.1045 · Cited by 9,798
Ab initio molecular dynamics for open-shell transition metals
Kresse, G., & Häfner, J. (1993) · Physical review. B, Condensed matter · doi:10.1103/physrevb.48.13115 · Cited by 8,387
Self-citationSeparable dual-space Gaussian pseudopotentials
Goedecker, S., Teter, M. P., & Hutter, J. (1996) · Physical review. B, Condensed matter · doi:10.1103/physrevb.54.1703 · Cited by 7,478
Norm-Conserving Pseudopotentials
Hamann, D. R., Schlüter, M., & Chiang, C. (1979) · Physical Review Letters · doi:10.1103/physrevlett.43.1494 · Cited by 4,511
The density functional formalism, its applications and prospects
Jones, R., & Gunnarsson, O. (1989) · Reviews of Modern Physics · doi:10.1103/revmodphys.61.689 · Cited by 4,074
Pseudopotentials that work: From H to Pu
Bachelet, G. B., Hamann, D. R., & Schluter, M. A. (1982) · Physical review. B, Condensed matter · doi:10.1103/physrevb.26.4199 · Cited by 3,417
Rappe, A. M., Rabe, K. M., Kaxiras, E., & Joannopoulos, J. D. (1990) · Physical review. B, Condensed matter · doi:10.1103/physrevb.41.1227 · Cited by 2,518
Nonlinear ionic pseudopotentials in spin-density-functional calculations
Louie, S. G., Froyen, S., & Cohen, M. L. (1982) · Physical review. B, Condensed matter · doi:10.1103/physrevb.26.1738 · Cited by 2,257
Wimmer, E., Krakauer, H., Weinert, M., & Freeman, A. J. (1981) · Physical review. B, Condensed matter · doi:10.1103/physrevb.24.864 · Cited by 2,130
Planewaves, Pseudopotentials and the LAPW Method
Singh, D. J. (1994) · Springer eBooks · doi:10.1007/978-1-4757-2312-0 · Cited by 1,563
Momentum-space formalism for the total energy of solids
Ihm, J., Zunger, A., & Cohen, M. L. (1979) · Journal of Physics C Solid State Physics · doi:10.1088/0022-3719/12/21/009 · Cited by 1,470
Car-Parrinello molecular dynamics with Vanderbilt ultrasoft pseudopotentials
Laasonen, K. E., Pasquarello, A., Car, R., Lee, C., & Vanderbilt, D. H. (1993) · Physical review. B, Condensed matter · doi:10.1103/physrevb.47.10142 · Cited by 1,448
Planewaves, Pseudopotentials and the LAPW Method
Singh, D. J., & Nordström, L. (2006) · Springer eBooks · doi:10.1007/978-0-387-29684-5 · Cited by 1,186
Analysis of separable potentials
Gonze, X., Stumpf, R., & Scheffler, M. (1991) · Physical Review B · doi:10.1103/physrevb.44.8503 · Cited by 605
Orientational ordering in mixed cyanide crystals: (NaCN )1−x (KCN )x
Cheng, A., Klein, M. L., & Lewis, L. J. (1991) · Physical review. B, Condensed matter · doi:10.1103/physrevb.44.13 · Cited by 468
First-principles study on energetics ofc-BN(001) reconstructed surfaces
Yamauchi, J., Tsukada, M., Watanabe, S., & Sugino, O. (1996) · Physical review. B, Condensed matter · doi:10.1103/physrevb.54.5586 · Cited by 465
Ultrasoft pseudopotentials applied to magnetic Fe, Co, and Ni: From atoms to solids
Moroni, E. G., Kresse, G., Häfner, J., & Furthmüller, J. (1997) · Physical review. B, Condensed matter · doi:10.1103/physrevb.56.15629 · Cited by 359
Self-citationHolzwarth, N. A. W., Matthews, G. E., Dunning, R. B., Tackett, A. R., & Zeng, Y. (1997) · Physical review. B, Condensed matter · doi:10.1103/physrevb.55.2005 · Cited by 267
Söderlind, P., Moriarty, J. A., & Wills, J. M. (1996) · Physical review. B, Condensed matter · doi:10.1103/physrevb.53.14063 · Cited by 263
Density functional theory and molecular bonding. III. Iron-series dimers
Harris, J., & Jones, R. (1979) · The Journal of Chemical Physics · doi:10.1063/1.437516 · Cited by 248
Bates, S., Kresse, G., & Gillan, M. J. (1997) · Surface Science · doi:10.1016/s0039-6028(97)00265-3 · Cited by 244
Self-citationCohesive energy of 3dtransition metals: Density functional theory atomic and bulk calculations
Philipsen, P. H. T., & Baerends, E. J. (1996) · Physical review. B, Condensed matter · doi:10.1103/physrevb.54.5326 · Cited by 243
Stixrude, L. P., Cohen, R. E., & Singh, D. J. (1994) · Physical review. B, Condensed matter · doi:10.1103/physrevb.50.6442 · Cited by 239
Jahn-Teller distortion and magnetic structures in LaMnO 3
Sawada, H., Morikawa, Y., Terakura, K., & Hamada, N. (1997) · Physical review. B, Condensed matter · doi:10.1103/physrevb.56.12154 · Cited by 192
Basis-set-free local density-functional calculations of geometries of polyatomic molecules
Dickson, R. M., & Becke, A. D. (1993) · The Journal of Chemical Physics · doi:10.1063/1.466134 · Cited by 189
Stadler, R., Wolf, W., Podloucky, R., et al. (1996) · Physical review. B, Condensed matter · doi:10.1103/physrevb.54.1729 · Cited by 148
Self-citationTransferability of pseudopotentials
Goedecker, S., & Maschke, K. (1992) · Physical Review A · doi:10.1103/physreva.45.88 · Cited by 122
Density-functional perturbation theory for lattice dynamics with ultrasoft pseudopotentials
Corso, A. D., Pasquarello, A., & Baldereschi, A. (1997) · Physical review. B, Condensed matter · doi:10.1103/physrevb.56.r11369 · Cited by 88
Atomic and electronic structures of oxygen-adsorbed Si(001) surfaces
Uchiyama, T., & Tsukada, M. (1996) · Physical review. B, Condensed matter · doi:10.1103/physrevb.53.7917 · Cited by 73
Stixrude, L. P., & Cohen, R. E. (1995) · Geophysical Research Letters · doi:10.1029/94gl02742 · Cited by 71
Goedecker, S., & Maschke, K. (1992) · Physical review. B, Condensed matter · doi:10.1103/physrevb.45.1597 · Cited by 44
Role of silicon vacancies in yttrium-disilicide compounds from ab initio calculations
Magaud, L., Pasturel, A., Kresse, G., et al. (1997) · Physical review. B, Condensed matter · doi:10.1103/physrevb.55.13479 · Cited by 31
Self-citationAndrews, S. B., Burton, N. A., Hillier, I. H., et al. (1996) · Chemical Physics Letters · doi:10.1016/0009-2614(96)00989-x · Cited by 27
Augmented-plane-wave calculations on small molecules
Serena, P. A., Baratoff, A., & Soler, J. M. (1993) · Physical review. B, Condensed matter · doi:10.1103/physrevb.48.2046 · Cited by 24
Flagged first, then by citations
Research works printed but not linked: 7
- G. Kresse, 1994, J. Phys.: Condens. Matter, 6, 8245
- N. A. W. Holzwarth, 1998, Phys. Rev. B, 57, 11
- P. Pulay, 1977, Modern Theoretical Chemistry
- X. Gonze, 1990, Phys. Rev. B, 41, 12
- A. Khein, 1995, Phys. Rev. B, 16
- P. Raybaud, 1997, J. Phys.: Condens. Matter, 9, 11
- P. Raybaud, 1997, J. Phys.: Condens. Matter, 9, 11
Cited by
Sorted by citations
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials
Giannozzi, P., Baroni, S., Bonini, N., Calandra, M., Car, R., Cavazzoni, C., Ceresoli, D., Chiarotti, G., Cococcioni, M., Dabo, I., et al. (2009) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/21/39/395502 · Cited by 29,793
First-principles simulation: ideas, illustrations and the CASTEP code
Segall, M., Lindan, P. J. D., Probert, M. I. J., Pickard, C. J., Hasnip, P. J., Clark, S. J., & Payne, M. C. (2002) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/14/11/301 · Cited by 11,895
First principles phonon calculations in materials science
Togo, A., & Tanaka, I. (2015) · Scripta Materialia · doi:10.1016/j.scriptamat.2015.07.021 · Cited by 11,493
A fast and robust algorithm for Bader decomposition of charge density
Henkelman, G., Arnaldsson, A., & Jónsson, H. (2006) · Computational Materials Science · doi:10.1016/j.commatsci.2005.04.010 · Cited by 10,723
Proteşescu, L., Yakunin, S., Bodnarchuk, M. I., Krieg, F., Caputo, R., Hendon, C. H., Yang, R., Walsh, A., & Kovalenko, M. V. (2015) · Nano Letters · doi:10.1021/nl5048779 · Cited by 9,243
Metadata
- Authors
- Kresse, G., & Joubert, D.
- Affiliations
- University of Vienna (AT)
- TU Wien (AT)
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1999-01-15
- Volume
- 59
- Issue
- 3
- Pages
- 1758-1775
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W1979544533
- Semantic Scholar
- 7b7ed4669c5f451fe8b33d14f953c2934232e369
- Cited by
- 85,307
- References
- 44
- Citations by year
- 2026: 7066 · 2025: 8611 · 2024: 7947 · 2023: 6865 · 2022: 6610 · 2021: 6234 · 2020: 5654 · 2019: 5098 · 2018: 4598 · 2017: 4073 · 2016: 3670 · 2015: 3230 · 2014: 2791 · 2013: 2394 · 2012: 2165
- FWCI
- 33.43
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical review. B, Condensed matter (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
- Physical Sciences › Materials Science › Metals and Alloys › Thermodynamic and Structural Properties of Metals and Alloys
- Physical Sciences › Materials Science › Materials Chemistry › Machine Learning in Materials Science
- Keywords
- ultrasoft pseudopotentials, projector augmented wave method, total energy functional, Hamiltonian, magnetic energy, transition metals, bulk properties
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