Abstract
In the last few years it has become possible to measure the dispersion of the surface phonons in the low-index metal surfaces by experimental techniques such as the inelastic scattering of surface atoms [1–4] or the high-resolution electron energy-loss spectroscopy [5–8]. The experimental data have been interpreted using empirical force constant models obtained from a fit to the bulk phonon spectrum [9–12]. This theoretical work has clearly shown that in many cases the force constants must be modified near the surface, in order to reproduce the experimental data. The modifications have been attributed to relaxation or other geometrical changes in the near surface region [13] or to the different configuration of the valence electrons in the outermost planes [14].
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References
J.P. Toennies: in “Dynamics of Gas-Surface Interaction”, Eds. G. Benedek and U. Valbusa (Springer, Berlin 1982), 196
G. Brusdeylins, R.B. Doak and J.P. Toennies: Phys. Rev. Lett. 46, 437 (1981)
G. Brusdeylins, R.B. Doak and J.P. Toennies: J. Chem. Phys. 75, 1784 (1981)
R.B. Doak, U. Harten and J.P. Toennies: Phys. Rev. Lett. 51, 578 (1983)
H. Ibach: Phys. Rev. Lett. 24, 1416 (1970)
H. Ibach: Phys. Rev. Lett. 27, 253 (1971)
H. Ibach and D.L. Mills:“Electron Energy- Loss Spectroscopy and Surface Vibrations” (Academic Press, New York 1982)
S. Lewhald and H. Ibach: in “Vibrations at Surfaces” Eds. R. Caudano, J. M. Gills and A.A. Lucas (Plenum Press, New York 1982), 137.
D. Castiel, C. Dobrzymski and D. Spanjaard: Surface Sci. 59, 252 (1976)
V. Bortolani, F. Nizzoli and G. Santoro:“Proceedings of the International Conference on Lattice Dynamics” Ed. M. Balkansky (Flammarion, Paris 1977),302
J.E. Black, D.A. Campbell and R.F. Wallis: Surface Sci. 115, 161 (1982)
J.E. Black, F.C. Shanes and R.F. Wallis: Surface Sci. 133, 199 (1983)
S. Lewhald, J.M. Szeftel, H. Ibach, T.S. Rahman and D.L. Mills: Phys. Rev. Lett. 50, 518 (1983)
V. Bortolani, A. Franchini, F. Nizzoli and G. Santoro: Phys. Rev. Lett. 52, 429 (1984)
H. Wendel and R. Martin: Phys. Rev. B19, 5251 (1979)
J. Ihm and M.L. Cohen: Phys. Rev. B21, 1577 (1980)
A. Zunger: Phys. Rev. B21, 4785 (1980)
K. Kunc and R.M. Martin: Physica 117–118B, 511 (1983)
R.M. Pick, M.H. Cohen and R.M. Martin: Phys. Rev. B1, 910 (1970)
L.J. Sham: Phys. Rev. 188, 1451 (1969)
CM. Bertoni, V. Bortolani, C. Calandra and E. Tosatti: Phys. Rev. Lett. 28, 1578 (1972)
W.A. Harrison: “Pseudopotential in the Theory of Metals” (Benjamin, New York 1966)
V. Heine: Solid State Physics 24, 1 (1970)
W.A. Harrison: Phys. Rev. 181, 1036 (1969)
J.A. Moriarty: Phys. Rev. B5, 2066 (1972)
J.A. Moriarty: Phys. Rev. B16, 2537 (1977)
J.A. Moriarty: Phys. Rev. B26, 1754 (1982)
A.S. Bamzai and B.M. Deb: Rev. Mod. Phys. 53, 95 (1981)
N.D. Lang and W. Kohn: Phys. Rev. B1, 4555 (1970)
D.M. Newns: Phys. Rev. B1, 3304 (1970)
J.P. Muscat and D.M. Newns: Surface Sci. 99, 609 (1980)
R.N. Barnett, U. Landman and C.L. Cleveland: Phys. Rev. B28, 1667 (1983)
P. Vashista and K.S. Singwi: Phys. Rev. B6, 875 (1972)
K.S. Singwi and M.P. Tosi: Solid State Physics 36, 177 (1981)
V. Heine and D. Weaire, Solid State Physics 24, 249 (1970)
CM. Bertoni, V. Bortolani, C. Calandra and F. Nizzoli, J. Phys. F: Metal Phys. 5, 419 (1975)
S. Ichimaru and K. Utsumi, Phys. Rev. B24, 7385 (1981)
C. Calandra and A. Catellani, unpublished results.
C. Beatrice and C. Calandra: Phys. Rev. B28, 6130 (1983)
C. Calandra, A.Catellani and C. Beatrice: Proceedings of ECOSS-6, Surface Sci. (in press).
C. Calandra, A. Catellani and C. Beatrice: Surface Sci. in press.
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Calandra, C., Catellani, A. (1985). Pseudopotentials and Dynamical Properties of Metallic Surfaces. In: Nizzoli, F., Rieder, KH., Willis, R.F. (eds) Dynamical Phenomena at Surfaces, Interfaces and Superlattices. Springer Series in Surface Sciences, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82535-4_8
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DOI: https://doi.org/10.1007/978-3-642-82535-4_8
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