Issues

 / 

1994

 / 

April

  

Conferences and symposia


Virial theorem and some properties of the electron gas in metals

 a,  b
a Institute of Physicotechnical Problems, Dubna, Moscow Region, Russian Federation
b Joint Institute for Nuclear Research, 6 Joliot-Curie Str., Dubna, Moscow Region, 141980, Russian Federation

The status of the virial theorem in classical and quantum mechanics is discussed and the principal virial relationships are derived. A model of the electron Fermi gas in a metal is considered taking explicit account of the consequences of the virial theorem for a stable system of electrons and ions interacting in accordance with the Coulomb law. This model is used to obtain expressions for the total energy and the chemical potential of the conduction electrons in undeformed and deformed metals. These expressions are used to estimate the equilibrium concentrations of electrons and ions, the electron work function of a metal, and the contribution of the collective-state electrons to the bulk modulus of a metal. It is shown that an electric field appears in an inhomogeneously deformed metal and that this field is proportional to the gradient of the bulk strains. A space charge, which is compensated by a surface charge of opposite sign, also appears in such a metal.

PACS: 71.45.−d, 72.15.Eb, 62.20.Dc, 73.30.+y (all)
DOI: 10.1070/PU1994v037n04ABEH000018
URL: https://ufn.ru/en/articles/1994/4/f/
Citation: Vasil’ev B V, Lyuboshits V L "Virial theorem and some properties of the electron gas in metals" Phys. Usp. 37 345–351 (1994)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Васильев Б В, Любошиц В Л «Теорема вириала и некоторые свойства электронного газа в металлах» УФН 164 367–374 (1994); DOI: 10.3367/UFNr.0164.199404f.0367

Cited by (17) Similar articles (20) ↓

  1. B.V. Vasil’ev, M.I. Kaganov, V.L. Lyuboshits “State of the conduction electrons and the work function of a metal37 353–356 (1994)
  2. V.I. Antropov, V.G. Vaks et alEffect of proximity of the Fermi level to singular points in the band structure on the kinetic and lattice properties of metals and alloys31 278–280 (1988)
  3. R.A. Suris, V.Ya. Frenkel’ “Ya I Frenkel’s studies of the theory of the electric conductivity of metals37 357–373 (1994)
  4. V.V. Brazhkin, M. Grimsditch et alElastic moduli and the mechanical properties of stishovite single crystals45 447–448 (2002)
  5. V.G. Vaks, S.P. Kravchuk, A.V. Trefilov “Microscopic theory of anharmonic effects in alkali and bcc alkaline earth metals31 474–476 (1988)
  6. Yu.E. Lozovik “New effects in and the control of the exciton system in quasi-two-dimensional structures61 1094–1099 (2018)
  7. V.T. Dolgopolov “Percolation metal-dielectric transitions in two-dimensional electron systems39 398–401 (1996)
  8. A.G. Lyapin, V.V. Brazhkin et alTransformations in amorphous solids under high pressures42 1059–1062 (1999)
  9. M.I. Katsnel’son, A.V. Trefilov “Electron state density and anomalies in the electronic and lattice properties of metals and alloys31 277–278 (1988)
  10. Yu.E. Lozovik “Plasmonics and magnetoplasmonics based on graphene and a topological insulator55 1035–1039 (2012)
  11. Plasmonics (Scientific session of the Physical Sciences Division of the Russian Academy of Sciences, 21 February 2012)55 1035–1058 (2012)
  12. I.K. Yanson “Nonequilibrium electrons and phonons in microcontracts29 292–293 (1986)
  13. F.F. Voronov “The Effect of Pressure on the Elastic Moduli of Solids14 545–545 (1972)
  14. M.S. Khaikin “Scanning tunneling microscopy and spectroscopy31 473–474 (1988)
  15. E.I. Kondorskii, T.I. Kostina, L.N. Ékonomova “Investigation of the Electrical and Magnetic Properties of Chromium Single Crystals15 369–369 (1972)
  16. R.F. Arutyunyan, M.L. Ter-Mikhaelyan “The Radiation of Charged Particles in Inhomogeneous Media and its Applications15 369–371 (1972)
  17. E.A. Turov “Certain Problems of Modern Theory of Magnetism13 671–672 (1971)
  18. A.N. Ryabtsev “Spectroscopy of ions with the 5d electrons in the ground state42 285–286 (1999)
  19. V.Yu. Bychenkov, A.V. Brantov et alLaser acceleration of ions: recent results and prospects for applications58 71–81 (2015)
  20. V.F. Gantmakher “Low-temperature kinetics of conduction electrons in metals and semiconductors26 845–846 (1983)

The list is formed automatically.

© 1918–2021 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions