Summary
We present a calculation of the Cu(111) surface dynamics in the framework of the multipole model. The electronic degrees of freedom include dipole and quadrupole deformabilities of the conduction electron density, the multipole expansion points being located at the midpoints between nearest-neighbour ions. The model accounts for the anomalous longitudinal resonance by an increase of dipolar deformability at the surface. Moreover the model explains in a straight-forward way the intense He scattering from the longitudinal resonance via the dipolar and quadrupolar modulations of the surface electron density. The surface dipolar contribution also explains the intense electron scattering from the optical surface resonance localized on the second layer.
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R. B. Doak, U. Harten andJ. P. Toennies:Phys. Rev. Lett.,51, 578 (1983).
U. Harten, J. P. Toennies andCh. Wöll:Faraday Discuss. Chem. Soc.,80, 137 (1985).
V. Bortolani, G. Santoro, U. Harten andJ. P. Toennies:Surf. Sci.,148, 82 (1984).
V. Bortolani, A. Franchini, G. Santoro andF. Nizzoli:Phys. Rev. Lett.,52, 429 (1984).
V. Bortolani, A. Franchini andG. Santoro: inElectronic Structure, Dynamics and Quantum Structural Properties of Condensed Matter, edited byJ. T. Devreese andP. Van Camp (Plenum Press, New York, N.Y., 1985), p. 401;V. Bortolani, A. Franchini andG. Santoro: unpublished.
C. S. Jayanthi, H. Bilz, W. Kress andG. Benedek:Phys. Rev. Lett.,59, 795 (1991).
J. S. Nelson, M. S. Daw andE. C. Sowa:Phys. Rev. B,40, 1465 (1988).
M. H. Mohamed, L. L. Kesmodel, B. M. Hall andD. L. Mills:Phys. Rev. B,37, 2763 (1988);B. M. Hall, D. L. Mills, M. H. Mohamed andL. L. Kesmodel:Phys. Rev. B,38, 5856 (1988);D. L. Mills: private communication.
J. P. Toennies:Superlatt. Microstruct.,7, 193 (1990).
N. E. Christensen:Phys. Rev. B,29, 5547 (1984).
A. Euceda, D. M. Bylander andL. Kleinman:Phys. Rev. B,28, 528 (1983).
N. Esbjerg andJ. K. Norskov:Phys. Rev. Lett.,45, 807 (1980).
R. G. Parr andW. Yang:Density Functional Theory of Atoms and Molecules (Oxford University Press, New York, N.Y., 1989).
N. A. Aschcroft andN. D. Mermin:Solid State Physics (Saunders, Philadelphia Penn., 1976), p. 447.
R. M. Nicklow, G. Gilat, H. G. Smith, L. J. Raubenheimer andM. K. Wilkinson:Phys. Rev.,164, 922 (1967).
C. Kaden, P. Ruggerone, J. P. Toennies, G. Zhang andG. Bennedek: submitted toPhys. Rev. B.
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Kaden, C., Ruggerone, P., Toennies, J.P. et al. Surface lattice dynamics and inelastic He scattering in Cu(111). Nouv Cim D 14, 627–641 (1992). https://doi.org/10.1007/BF02462350
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DOI: https://doi.org/10.1007/BF02462350