Publication Cover
Phase Transitions
A Multinational Journal
Volume 45, 1993 - Issue 4
27
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

A new view on the surface stresses in condensed media

Pages 221-250 | Received 21 Sep 1992, Published online: 19 Aug 2006

References

  • Abraham , F. F. 1981 . Computer simulation of microclusters, surfaces and interfaces . CRC Crit. Revs Solid State and Mater. Sci. , 169 – 190 . May
  • Abraham , F. F. , Schreiber , D. E. and Barker , J. A. 1975 . On the structure of a free surface of a Lennard-Jones liquid: a Monte-Carlo calculation . J. Chem. Phys. , 62 : 1958 – 1960 .
  • Ackland , G. J. and Finnis , M. W. 1986 . Semi-empirical calculation of solid surface tensions in body-centered cubic transition metals . Phil. Mag. , A54 : 301 – 315 .
  • Aloisi , G. , Guidelli , R. , Jackson , R. A. and Barnes , P. 1987 . A new method to determine the interfacial tension in Monte-Carlo simulations . Chem. Phys. Lett. , 133 : 343 – 346 .
  • Balerna , A. , Bernieri , E. , Picozzi , P. , Reale , A. , Santucci , S. , Burattini , E. and Mobilio , S. 1985 . Extended X-ray absorbtion fine-structure and near-edge-structure studies on evaporated small clusters of Au . Phys. Rev. B. , 31 : 5058 – 5065 .
  • Benson , G. C. and Yun , K. S. 1965 . Surface tension of the {100} face of alkali halide crystals . J. Chem. Phys. , 42 : 3085
  • Benson , G. and Yun , K. 1967 . “ Surface energy and surface tension of solids ” . In The Solid-Gas Interface , Edited by: Flood , E. A. 203 New York : Marcel Dekker, Inc. .
  • Bogolyubov , N. N. 1946 . “ Problems of dynamic theory in statistical physics ” . In Gos. Tech. Izdat. Kiev (in Russian)
  • Borel , J.-P. and Ch[acaron]telain , A. 1985a . Surface stress and surface tension: Equilibrium and pressure in small particles . Surface Sci. , 156 : 572 – 579 .
  • Borel , J.-P. and Ch[acaron]telain , A. 1985b . Surface stress, surface tension and fusion temperature of very small condensed matter particles . Helvetica Phys. Acta , 58 : 443 – 453 .
  • Brodskaya , E. N. and Rusanov , A. I. 1987 . The molecular dynamics simulation of water clusters . Molec. Phys. , 62 : 251 – 256 .
  • Broughton , J. O. and Gilmor , G. H. 1983 . Surface free energy and stress of a Lennard-Jones crystal . Acta metall. , 31 : 845 – 851 .
  • Burkhanov , A. V. , Nepijko , S. A. , Petrunin , V. F. and Hofmeister , H. 1985 . “ Lattice parameter change nearby surface of small Au particles ” . In Poverkhnost. Fizika, chimiya, mechanika 130 – 135 . (in Russian) N 9
  • Bynkov , K. A. , Kim , V. S. and Kuznetsov , Y. M. 1988 . “ Surface energy of metals calculated by using electron density model functional ” . In Izvestiya Vuzov. Fizika 100 – 102 . N 5 (in Russian)
  • Cabrera , N. 1964 . The equilibrium of crystal surfaces . Surface Sci. , 2 : 320 – 345 .
  • Cahn , J. W. 1980 . Surface stress and the chemical equilibrium of small crystals—I. The case of the isotropic surface . Acta metall. , 28 : 1333 – 1338 .
  • Cahn , J. W. and Larche , F. 1982 . Surface stress and the chemical equilibrium of small crystals—II. Solid particles embedded in a solid matrix . Acta metall. , 30 : 51 – 56 .
  • Chacón , E. , Flores , F. and Navascués , G. 1984 . A theory for liquid metal surface tension . J. Phys. F.: Met. Phys. , 14 : 1587 – 1601 .
  • Chernov , S. F. 1988 . On surface tension of silver . Journal Nauchnoi i Prikladnoi Fotografii i Kinematografii , 33 : 110 – 113 . (in Russian)
  • Chwolson , O. D. 1923 . Course of Physics , Vol. 1 , Berlin : Z. J. Grschebin Verlag . (in Russian)
  • Couchman , P. R. and Jesser , W. A. 1973 . On the thermodynamics of surfaces . Surface Sci. , 34 : 212
  • Croxton , C. A. 1974 . Liquid state physics—a statistical mechanical introduction , Cambridge : Cambridge University Press .
  • Davis , H. T. and Scriven , L. E. 1982 . Stress and structure in liquid interfaces . Adv. Chem. Phys. , 49 : 357 – 454 .
  • De Crescenzi , M. , Diociaiuti , M. , Picozzi , P. and Santucci , S. 1986 . Electronic and structural investigations of palladium clusters by X-ray absorption near-edge structure and extended x-ray absorption fine-structure spectroscopies . Phys. Rev. , B34 : 4334 – 4337 .
  • D'Evelyn , M. P. and Rice , S. A. 1981 . Structure in the density profile at the liquid-metal-vapour interface . Phys. Rev. Lett. , 47 : 1844 – 1847 .
  • Esin , V. O. , Porozkov , V. N. and Danilyuk , V. I. 1982 . Free surface energy of the FCC metals . Fizika Metallov i Metallovedenie , 53 : 361 – 366 .
  • Fisher , I. Z. 1961 . “ Statistical theory of liquids ” . In Gos. Izd. Fiz.-Mat. Literat. Moscow (in Russian)
  • Flood , E. A. and Benson , G. C. 1968 . Surface energy and surface tension . Canad. J. Chem. , 46 : 1297 – 1316 .
  • Fowler , R. H. 1937 . A tentative statistical theory of MacLeod's equation for surface tension and the parachor . Proc. Roy. Soc. (London) , A 159 : 229 – 246 .
  • Frenkel , Ya. I. 1959 . “ Kinetic theory of liquids ” . In Sobr. Izbr. Trudov , Vol. 3 , Moscow, Leningrad : Izd. AN SSSR .
  • Gibbs , J. W. 1928 . The Collected Works, Vol. 1. Thermodynamics , New York, London, Toronto : Longmans, Green and Co. .
  • Gorchakov , V. I. , Nagaev , E. L. and Chizhik , S. P. 1988 . Does Laplace's pressure reduce physical bodies? . Fizika tverdogo tela , 30 : 1068 – 1075 .
  • Górecki , T. 1974 . Vacancies and changes of physical properties of metals at the melting point . Zeit. Metallkunde , 65 : 426 – 431 .
  • Hahn , H. G. 1985 . Elastizitatstheorie , Stuttgart : B. G. Teubner . Grundslagen der linearen theorie und anwendungen auf ein-dimensionable, ebene und raumliche problems
  • Hasegawa , M. 1988a . A theory of the screening in the liquid-vapour interface of simple metals: Calculations of the surface tension and density profiles of the liquid alkali metals and Mg . J. Phys. F.: Met. Phys. , 18 : 1449 – 1471 .
  • Hasegawa , M. 1988b . The surface tension and surface density profile in liquid metals: A simplified treatment of the screening effects . Zeit. Phys. Chem. neue folge , 156 : 445 – 450 .
  • Heinemann , K. and Poppa , H. 1985 . In-situ TEM evidence of lattice expansion of very small supported palladium particles . Surface Sci. , 156 : 265 – 274 .
  • Hemingway , S. J. , Rowlinson , J. S. and Walton , J. P. R. S. 1983 . The surface of tension of a drop liquid . J. Chem. Soc., Faraday Trans. , 2 : 1689 – 1698 .
  • Herring , C. 1951a . “ Surface tension as a motivation for sintering ” . In The Physics of Powder Metallurgy , Edited by: Kingston , W. E. New York, Toronto, London : McGraw-Hill Book Co., Inc. . Ch. 8
  • Herring , C. 1953b . “ The use of classical macroscopic concepts in surface-energy problems ” . In Structure and Properties of Solid Surfaces , Edited by: Gomer , R. and Smith , C. S. 5 – 72 . Chicago : University of Chicago Press . Ch. 1
  • Ignatiev , A. and Fan , W. C. 1986 . Summary abstract: The lattice parameter of metallic monolayers . J. Vac. Sci. Technol. , A4 : 1415 – 1416 .
  • Irving , J. H. and Kirkwood , J. G. 1950 . The statistical mechanical theory of transport processes. IV. The equations of hydrodynamics . J. Chem. Phys. , 18 : 817 – 829 .
  • Ivanov , A. S. , Ganelin , Ya. V. , Shulga , Yu. M. , Lapovok , V. N. and Trusov , L. G. 1982 . “ Atom redistribution near surface of small CuNi particles ” . In Poverkhnost. Fizika, Chimia, Mechanika 144 – 148 . N 8 (in Russian)
  • Kirkwood , J. G. and Buff , F. P. 1949 . The statistical mechanical theory of surface tension . J. Chem. Phys. , 17 : 338
  • Kubo , R. 1965 . Statistical Mechanics , Amsterdam : North-Holland Publ. Co. .
  • Kuni , F. M. and Rusanov , A. I. 1971 . Asymptotic principle of interaction of bodies in liquid medium. Molecular structure of a drop . Kolloidny Journal , 33 : 238 – 244 . (in Russian)
  • Kuz , V. A. , Vila , M. A. , Garazo , A. N. and Zarragoicoechea , G. J. 1987 . Theory of surface tension and its application to simple fluids . J. Stat. Phys. , 49 : 1209 – 1219 .
  • Landau , L. D. and Lifshitz , E. M. 1965 . Theory of Elasticity. Izd. , Moscow : “Nauka” . (in Russian)
  • Lee , J. K. , Barker , J. A. and Abraham , F. F. 1973 . Theory and Monte-Carlo simulation of physical clusters in the imperfect vapor . J. Chem. Phys. , 58 : 3166 – 3180 .
  • Lee , J. K. , Barker , J. A. and Pound , G. M. 1974 . Surface structure and surface tension: Perturbation theory and Monte-Carlo calculation . J. Chem. Phys. , 60 : 1976 – 1980 .
  • Leibfried , G. 1955 . “ Gitter theorie der mechanischen und thermischien eigenschaften der kristalls ” . In Handbook der Physik , Edited by: Flugge , S. Vol. Band VII , Berlin, Gottingen, Heidelberg : Springer-Verlag . Teil 2
  • McGinty , D. J. 1973 . Molecular dynamics studies of the properties of small clusters of argon atoms . J. Chem. Phys. , 58 : 4733 – 4742 .
  • Matsumoto , M. and Kataoka , Y. 1988 . Study on liquid-vapor interface of water. I. Simulational results of thermodynamic properties and orientational structure . J. Chem. Phys. , 88 : 3233 – 3245 .
  • Montano , P. A. , Schulze , W. , Tesche , B. , Shenoy , G. K. and Morrison , I. T. 1984 . Extended X-ray-absorption fine-structure study of Ag particles isolated in solid argon . Phys. Rev. , B30 : 672 – 677 .
  • Morokhov , I. D. , Chizhik , S. P. , Gladkikh , N. T. , Grigor'eva , L. K. and Stepanova , S. V. 1979 . Size effects owing to vacancies . Doklady AN SSSR , 248 : 603 – 604 . (in Russian)
  • Mullins , W. W. 1984 . Thermodynamic equilibrium of a crystalline sphere in fluid . J. Chem. Phys. , 81 : 1436 – 1442 .
  • Münster , A. 1969 . Statistical Thermodynamics , Vol. 1 , Berlin, Heidelberg, New York : Springer Verlag . Academic Press, New York, London
  • Needs , R. J. 1987 . Calculations of the surface stress tensor at aluminium {111} and {111} surfaces . Phys. Rev. Lett. , 58 : 53 – 56 .
  • Needs , R. J. and Godfrey , M. J. 1987 . The origin and possible implications of surface stress on metals . Phys. Scripta , T19 : 391 – 398 .
  • Nye , J. F. 1964 . Physical Properties of Crystals , Oxford : Clarendon Press .
  • Ono , S. and Kondo , S. 1960 . “ Molecular theory of surface tension in liquids ” . In Handbuch der physik , Edited by: Flugge , S. Vol. 10 , Berlin, Gottingen, Heidelberg : Springer-Verlag .
  • Petrov , Yu. I. 1982a . “ Surface stress, tension and energy of small particles ” . In Poverkhnost. Fizika, chimia, mechanika 1 – 12 . N 7 (in Russian)
  • Petrov , Yu. I. 1982b . Physics of small particles. Izd. , Moscow : “Nauka” . (in Russian)
  • Petrov , Yu. I. 1986 . Clusters and small particles. Izd. , Moscow : “Nauka” . (in Russian)
  • Petrov , Yu. I. 1987 . “ On the internal pressure and deformations in clusters and small particles ” . In Cluster Physics , Edited by: Yostrikov , A. A. and Rebrov , A. K. 104 – 109 . Novosibirsk : Institute of Thermophysics of the Siberian Department of the USSR Academy of Sciences . (in Russian)
  • Petrov , Yu. I. 1989 . On the equilibrium internal pressure in a condensed medium . Journal fizicheskoi chimii , 63 : 2757 – 2762 . (in Russian)
  • Petrov , Yu. I. 1990 . Surface pressure in clusters and small particles—is it real? . Phase Transitions , 24–26 : 407 – 417 .
  • Phillips , P. 1984 . On the surface tension of liquid drops . Molecular Phys. , 52 : 805 – 814 .
  • Rao , M. and Levescue , D. 1976 . Surface structure of a liquid film . J. Chem. Phys. , 65 : 3233 – 3236 .
  • Rao , M. , Berne , B. J. and Kalos , M. H. 1978 . Computer simulation of the nucleation and thermodynamics of microclusters . J. Chem. Phys. , 68 : 1325 – 1336 .
  • Rowlinson , J. S. and Widom , B. 1982 . Molecular Theory of Capillarity , Oxford : Clarendon Press .
  • Rusanov , A. I. and Brodskaya , E. N. 1977 . The molecular dynamics simulation of a small drop . J. Colloid and Interface Sci. , 62 : 542 – 555 .
  • Schofield , P. and Henderson , J. R. 1982 . Statistical mechanics of inhomogeneous fluids . Proc. Roy. Soc. (London) , A379 : 231 – 246 .
  • Schommers , W. 1987 . Statistical mechanics of the liquid surface and the effect of premelting . Topic Curr. Phys. , 43 : 223 – 257 .
  • Shuttleworth , R. 1950 . The surface tension of solids . Proc. Phys. Soc. , 63 Sect. A, Pt. 5444–451
  • Slater , J. C. 1963 . Electronic Structure of Molecules , New York, San Francisco, Toronto, London : McGraw-Hill Book Co. .
  • Slater , J. C. 1963 . Electronic Structure of Molecules , New York, St. Louis, San Francisco, Toronto, London : McGraw-Hill Book Co. .
  • Solliard , C. and Flueli , M. 1985 . Surface stress and size effect on the lattice parameters in small particles of gold and platinum . Surface Sci. , 156 : 487 – 494 .
  • Stoneham , A. M. 1977 . Measurement of surface tension by lattice parameter changes: theory for facetted microcrystals . J. Phys. C.: Solid State Phys. , 10 : 1175 – 1179 .
  • Stranski , I. N. 1943 . Über die Thompson-Gibbssche Gleichung und über die sogenannte theorie der verwachsungskonglomerate . Zeit. Krist. , 105 : 91
  • Tasker , P. W. 1979 . The surface energies, surface tensions and surface structure of the alkali halide crystals . Phil. Mag. , A39 : 119 – 136 .
  • Temkin , D. E. 1969 . Determination of a volume change because of the point defects . Fizika tverdogo tela , 11 : 2002 – 2003 . (in Russian)
  • Temrokov , A. I. 1982 . On surface energy and surface tension of solids . Journal fizicheskoi chimii , 56 : 1207 – 1211 . (in Russian)
  • Thompson , S. M. , Gubbins , K. E. , Walton , J. P. R. B. , Chantry , R. A. R. and Rowlinson , J. S. 1984 . A molecular dynamics study of liquid drops . J. Chem. Phys. , 81 : 530 – 542 .
  • Tjatjopoulos , G. J. and Mann , J. A. Jr. 1987 . The pressure tensor of an inhomogeneous fluid transformation of the Irving–Kirkwood formula . Molecular Phys. , 60 : 1425 – 1432 .
  • Triezenberg , D. G. and Zwanzig , R. 1972 . Fluctuation theory of surface tension . Phys. Rev. Lett. , 28 : 1183 – 1185 .
  • Velasco , V. R. 1983 . Influence of the surface stress on the mean-square displacement of surface atoms . Phys. Rev. , B27 : 6170 – 6177 .
  • Veprek , S. , Iqbal , Z. , Oswald , H. R. , Sarott , F.-A. , Wagner , J. J. and Webb , A. P. 1981 . Lattice dilation of small silicon crystallites—implications for amorphous silicon . Solid State Commun. , 39 : 509 – 512 .
  • Vogelsberger , W. , Fritsche , H.-G. and Müller , E. 1988 . Size dependence of surface thermodynamic parameters of microclusters and the location of the Gibbs “surface of tension” . Phys. Stat. Sol. , B148 : 155 – 164 .
  • Vook , R. W. and Otooni , M. A. 1968 . Lattice parameter of thin gold films . J. Appl. Phys. , 39 : 2471 – 2472 .
  • Waldor , M. H. and Wolf , D. E. 1986 . Equality of two different formulas for the surface tension: A direct proof . J. Chem. Phys. , 85 : 6082 – 6084 .
  • Walton , J. P. B. and Gubbins , K. E. 1983 . The pressure tensor in an inhomogeneous fluid of non-spherical molecules . Molec. Phys. , 55 : 679 – 688 .
  • Wasserman , H. J. and Vermaak , J. S. 1970 . On the determination of a lattice contraction on very small silver particles . Surface Sci. , 22 : 164 – 172 .
  • Wasserman , H. J. and Vermaak , J. S. 1972 . On the determination of the surface stress of copper and platinum . Surface Sci. , 32 : 168 – 174 .
  • Wilson , M. A. , Pohorille , A. and Pratt , L. R. 1988 . Surface potential of the water liquid-vapor interface . J. Chem. Phys. , 88 : 3281 – 3285 .
  • Wolf , D. E. and Griffiths , R. B. 1985a . Surface tension and stress in solids: The rigid-planes model . Phys. Rev. , B32 : 3194 – 3202 .
  • Wolf , D. E. , Griffiths , R. B. and Tang , L. 1985b . Surface stress and surface tension for solid-vapor interfaces . Surface Sci. , 162 : 114 – 119 .
  • Wolf , D. E. and Tang , L. 1987 . Pressure and stress tensor in fluids in a periodic potential . Phys. Rev. , A36 : 5337 – 5348 .
  • Wynblatt , P. 1984 . A calculation of the surface energies of FCC transition metals . Surface Sci. , 136 : L51 – L56 .
  • Zhukova , L. A. , Popel' , S. I. and Rasikova , N. I. 1986 . Electron diffraction study of the island Ag films in amorphous and liquid state . Izv. AN SSSR. Neorganicheskiye mater. , 22 : 747 – 750 . (in Russian)
  • Ziesche , P. , Gräfenstein , J. and Nielsen , O. H. 1988 . Local quantum mechanical stress in clusters and crystals . Phys. Scripta , 37 : 370 – 372 .
  • Yakubov , I. T. , Khrapak , A. G. , Pogosov , V. V. and Trigger , S. A. 1988 . Thermodynamical characteristics of liquid metal droplets . Phys. Stat. Sol. , B145 : 455 – 466 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.