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Theory of Metal Surfaces: Charge Density and Surface Energy
Abstract
The first part of this paper deals with the jellium model of a metal surface. The theory of the inhomogeneous electron gas, with local exchange and correlation energies, is used. Self-consistent electron density distributions are obtained. The surface energy is found to be negative for high densities (${\mathcal{r}}_{s}\ensuremath{\le}2.5$). In the second part, two corrections to the surface energy are calculated which arise when the positive background model is replaced by a pseudopotential model of the ions. One correction is a cleavage energy of a classical neutralized lattice, the other an interaction energy of the pseudopotentials with the electrons. Both of these corrections are essential at higher densities (${\mathcal{r}}_{s}\ensuremath{\le}4$). The resulting surface energy is in semiquantitative agreement with surface-tension measurements for eight simple metals (Li, Na, K, Rb, Cs, Mg, Zn, Al), typical errors being about 25%. For Pb there is a serious disagreement.
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Cites
Self-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
Self-citation
Cited by
Electronic properties of two-dimensional systems
Ando, T., Fowler, A. B., & Stern, F. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.437 · Cited by 7,455
Theory of surface plasmons and surface-plasmon polaritons
Pitarke, J. M., Silkin, V. M., Chulkov, E. V., & Echenique, P. M. (2007) · Reports on Progress in Physics · doi:10.1088/0034-4885/70/1/r01 · Cited by 1,524
Theory of Metal Surfaces: Work Function
Lang, N. D., & Kohn, W. (1971) · Physical Review B · doi:10.1103/physrevb.3.1215 · Cited by 1,444
Self-citationElectronic structure of quantum dots
Reimann, S. M., & Manninen, M. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.1283 · Cited by 1,380
Surface energy and work function of elemental metals
Skriver, H. L., & Rosengaard, N. M. (1992) · Physical Review B · doi:10.1103/physrevb.46.7157 · Cited by 1,355
Graphene in Photocatalysis: A Review
Li, X., Yu, J., Wageh, S., Al‐Ghamdi, A. A., & Xie, J. (2016) · Small · doi:10.1002/smll.201600382 · Cited by 1,153
Interaction of hydrogen with solid surfaces
Christmann, K. (1988) · Surface Science Reports · doi:10.1016/0167-5729(88)90009-x · Cited by 1,120
Exchange-correlation energy of a metallic surface: Wave-vector analysis
Langreth, D. C., & Perdew, J. P. (1977) · Physical Review B · doi:10.1103/physrevb.15.2884 · Cited by 1,040
Statistical Exchange-Correlation in the Self-Consistent Field
Slater, J. C. (1972) · Advances in Quantum Chemistry · doi:10.1016/s0065-3276(08)60541-9 · Cited by 1,018
The exchange-correlation energy of a metallic surface
Langreth, D. C., & Perdew, J. P. (1975) · Solid State Communications · doi:10.1016/0038-1098(75)90618-3 · Cited by 904
Core-level binding-energy shifts at surfaces and in solids
Egelhoff, W. F. (1987) · Surface Science Reports · doi:10.1016/0167-5729(87)90007-0 · Cited by 768
Ichimaru, S., Iyetomi, H., & Tanaka, S. (1987) · Physics Reports · doi:10.1016/0370-1573(87)90125-6 · Cited by 621
Functional designed to include surface effects in self-consistent density functional theory
Armiento, R., & Mattsson, A. E. (2005) · Physical Review B · doi:10.1103/physrevb.72.085108 · Cited by 616
Descriptions of exchange and correlation effects in inhomogeneous electron systems
Gunnarsson, O., Jonson, M., & Lundqvist, B. I. (1979) · Physical Review B · doi:10.1103/physrevb.20.3136 · Cited by 606
Photoelectron spectroscopy of metal cluster anions: Cu−n, Ag−n, and Au−n
Ho, J., Ervin, K. M., & Lineberger, W. C. (1990) · The Journal of Chemical Physics · doi:10.1063/1.459475 · Cited by 592
Trends of the surface relaxations, surface energies, and work functions of the 4 d transition metals
Methfessel, M., Hennig, D., & Scheffler, M. (1992) · Physical Review B · doi:10.1103/physrevb.46.4816 · Cited by 572
Theory of atomic chemisorption on simple metals
Lang, N. D., & Williams, A. R. (1978) · Physical Review B · doi:10.1103/physrevb.18.616 · Cited by 565
Self-citationNearsightedness of electronic matter
Prodan, E., & Kohn, W. (2005) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0505436102 · Cited by 551
Self-citationThe surface energy of a bounded electron gas
Harris, J., & Jones, R. O. (1974) · Journal of Physics F: Metal Physics · doi:10.1088/0305-4608/4/8/013 · Cited by 484
Quasiatoms: An approach to atoms in nonuniform electronic systems
Stott, M. J., & Zaremba, E. (1980) · Physical Review B · doi:10.1103/physrevb.22.1564 · Cited by 484
Electronic structure of a metal-semiconductor interface
Louie, S. G., & Cohen, M. L. (1976) · Physical Review B · doi:10.1103/physrevb.13.2461 · Cited by 476
Schlüter, M., Chelikowsky, J. R., Louie, S. G., & Cohen, M. L. (1975) · Physical Review B · doi:10.1103/physrevb.12.4200 · Cited by 443
Electronic Shell Structure and Metal Clusters
de Heer, W. A., Knight, W. D., Chou, M. Y., & Cohen, M. L. (1987) · Solid State Physics · doi:10.1016/s0081-1947(08)60691-8 · Cited by 438
Design strategies for nonaqueous multivalent-ion and monovalent-ion battery anodes
Li, M., Lu, J., Ji, X., Li, Y., Shao, Y., Chen, Z., Zhong, C., & Amine, K. (2020) · Nature Reviews Materials · doi:10.1038/s41578-019-0166-4 · Cited by 438
Nonlocal optical response in metallic nanostructures
Raza, S., Bozhevolnyi, S. I., Wubs, M., & Asger Mortensen, N. (2015) · Journal of Physics: Condensed Matter · doi:10.1088/0953-8984/27/18/183204 · Cited by 435
Muscat, J. P., & Newns, D. M. (1978) · Progress in Surface Science · doi:10.1016/0079-6816(78)90005-9 · Cited by 416
Tests of a ladder of density functionals for bulk solids and surfaces
Staroverov, V. N., Scuseria, G. E., Tao, J., & Perdew, J. P. (2004) · Physical Review B · doi:10.1103/physrevb.69.075102 · Cited by 414
Park, M. H., Lee, Y. H., Kim, H. J., Schenk, T., Lee, W., Kim, K. D., Fengler, F. P. G., Mikolajick, T., Schroeder, U., & Hwang, C. S. (2017) · Nanoscale · doi:10.1039/c7nr02121f · Cited by 403
A theory of thin metal films: electron density, potentials and work function
Schulte, F. K. (1976) · Surface Science · doi:10.1016/0039-6028(76)90250-8 · Cited by 374
The Density-Functional Formalism and the Electronic Structure of Metal Surfaces
Lang, N. D. (1974) · Solid State Physics · doi:10.1016/s0081-1947(08)60204-0 · Cited by 358
Self-citationStott, M. J., & Zaremba, E. (1980) · Physical Review A · doi:10.1103/physreva.21.12 · Cited by 317
Theory of lattice contraction at aluminium surfaces
Finnis, M. W., & Heine, V (1974) · Journal of Physics F: Metal Physics · doi:10.1088/0305-4608/4/3/002 · Cited by 313
On the surface energy of a bounded electron gas
Harris, J., & Jones, R. O. (1974) · Physics Letters A · doi:10.1016/0375-9601(74)90938-4 · Cited by 313
Electronic Effects in the Electric Double Layer
Schmickler, W. (1996) · Chemical Reviews · doi:10.1021/cr940408c · Cited by 311
Work function measurements on (100) and (110) surfaces of silver
Dweydari, A. W., & Mee, C. H. B. (1975) · Physica Status Solidi (a) · doi:10.1002/pssa.2210270126 · Cited by 310
2D-3D transition of gold cluster anions resolved
Johansson, M. P., Lechtken, A., Schooss, D., Kappes, M. M., & Furche, F. (2008) · Physical Review A · doi:10.1103/physreva.77.053202 · Cited by 273
Unusual resonances in nanoplasmonic structures due to nonlocal response
Raza, S., Toscano, G., Jauho, A.-P., Wubs, M., & Mortensen, N. A. (2011) · Physical Review B · doi:10.1103/physrevb.84.121412 · Cited by 271
Segregation and immiscibility in liquid binary alloys
Singh, R. N., & Sommer, F. (1997) · Reports on Progress in Physics · doi:10.1088/0034-4885/60/1/003 · Cited by 255
Metadata
- Authors
- Lang, N. D., & Kohn, W.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1970-06-15
- Volume
- 1
- Issue
- 12
- Pages
- 4555-4568
- ISSN
- 0556-2805 (ISSN-L)
- OpenAlex
- W2045839260
- Cited by
- 1,930
- References
- 1
- FWCI
- 23.97
- Type
- journal article
- Language
- en
- Open access
- closed
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