Hostname: page-component-7bb8b95d7b-5mhkq Total loading time: 0 Render date: 2024-09-21T01:57:00.688Z Has data issue: false hasContentIssue false

A vibrational dynamics of molecule chain on metallic surface

Published online by Cambridge University Press:  30 January 2012

D. Zerirgui*
Affiliation:
Laboratoire de Physique et Chimie Quantique, Faculté des Sciences, Université Mouloud Mammeri, BP17 RP, 15000 Tizi-Ouzou, Algeria
R. Tigrine
Affiliation:
Laboratoire de Physique et Chimie Quantique, Faculté des Sciences, Université Mouloud Mammeri, BP17 RP, 15000 Tizi-Ouzou, Algeria Laboratoire de Physique de l’État Condensé, Université du Maine, 72085 Le Mans, France
B. Bourahla
Affiliation:
Laboratoire de Physique et Chimie Quantique, Faculté des Sciences, Université Mouloud Mammeri, BP17 RP, 15000 Tizi-Ouzou, Algeria Laboratoire de Physique de l’État Condensé, Université du Maine, 72085 Le Mans, France
A. Khater
Affiliation:
Laboratoire de Physique de l’État Condensé, Université du Maine, 72085 Le Mans, France
Get access

Abstract

We investigate the vibration properties of adsorbed nanostructure on the infinite square crystalline surface. The surface is considered as an infinite slab of one atomic layer, and the nanostructure as an isolated diatomic molecule chain on the surface of a cubic lattice which is parallel to y-axis, and takes three different positions: top, hollow and bridge. The vibrational dynamics of the structure is considered within the harmonic approximation framework. The evanescent and propagating vibrational field of the perfect lattice is determined and discussed. The presence of the molecule chain breaks down the translation symmetry in one direction and gives rise to localized states on its neighborhood. The mathematical framework of the matching method is used to analyze the localization phenomena at the nanostructure boundaries. Typical dispersion curves for modes of energies along the inhomogeneity are given with their polarizations. The fine structure of the spectrum and its origins are clearly identifiable, which gives a new insight into the localization problem. Furthermore, the existence and nature of the localized phonons like modes associated with an isolated defect are derived, and the importance of the contribution of these modes to the spectral and states densities is exhibited clearly.

Type
Research Article
Copyright
© EDP Sciences, 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Ibach, H., Mills, D.L. (eds.), Electron Energy Loss Spectroscopies and Surfaces Vibrations (New Academic, NY, 1982)Google Scholar
Szeftel, J., Khater, A., J. Phys C: Solid State Phys. 20, 4725 (1987)CrossRef
Pennec, Y., Khater, A., Surf. Sci. Lett. 348, 82 (1996)CrossRef
Lewis, S.P., Rappe, A.M., Phys. Rev. Lett. 77, 5241 (1996)CrossRef
Virlouvet, A., Khater, A., Rafil, O., Maschke, K., Phys. Rev. B 54, 4933 (1999)CrossRef
Khater, A., Abou Ghantous, M., Surf. Sci. Lett. 498, L97 (2002)CrossRef
Lazarovits, B., Szunyogh, L., Weinberger, P., Phys. Rev. B 65, 10441 (2002)CrossRef
Lewis, S.P., Rappe, A.M., J. Chem. Phys. 110, 4619 (1999)CrossRef
Zhou, X.L., Zhu, X.L., White, J.M., Surf. Sci. Rep. 13, 73 (1991)CrossRef
Winkler, A., Appl. Phys. A 67, 637 (1998)CrossRef
Panczyk, T., Rudzinski, W., Appl. Surf. Sci. 233, 141 (2004)CrossRef
Rettner, C.T., Phys. Rev. Lett. 69, 383 (1992)CrossRef
Somorjai, G.A., Introduction to Surface Chemistry and Catalysis (Wiley, New York, 1994)Google Scholar
Hänggi, P., Talkner, P., Borkovek, M., Rev. Mod. Phys. 62, 251 (1990)CrossRef
Head-Gordon, M., Tully, J.C., Phys. Rev. B 46, 1853 (1992)CrossRef
Tully, J.C., Gomez, M., Head-Gordon, M., J. Vac. Sci. Technol. 11, 1914 (1993)CrossRef
Masri, P., Dobrzynski, L., J. Phys. Chem. Solids 35, 847 (1973)CrossRef
Masri, P., J. Phys. 35, 433 (1974)CrossRef
Szeftel, J., Khater, A., Mil, F., d’Addato, S., Auby, N., J. Phys. C: Solid State Phys. 21, 2113 (1988)CrossRef
Virlouvet, A., Grimech, H., Khater, A., Pennec, Y., Maschke, K., Phys. Condens. Matter 8, 7589 (1996)CrossRef
Virlouvet, A., Khater, A., Aouchiche, H., Rafil, O., Maschke, K., Phys. Rev. B 59, 4933 (1999)CrossRef
Bourahla, B., Khater, A., Tigrine, R., Eur. Phys. J. B 69, 343 (2009)CrossRef
Tigrine, R., Khater, A., Bourahla, B., Eur. Phys. J. B 62, 59 (2008)CrossRef
Khater, A., Tigrine, R., Bourahla, B., Phys. Stat. Sol. B 246, 1614 (2009)CrossRef
Amoudache, S., Tigrine, R., Khater, A., Bourahla, B., Eur. Phys. J. B 73, 405 (2010)CrossRef
Tigrine, R., Khater, A., Rafil, O., Belhadi, M., Mod. Phys. Lett. B 19, 1 (2005)CrossRef
Maradudin, A.A., Weiss, G.H., Ipatova, I.P., Theory of Lattice Dynamic in the Harmonic Approximation (Academic Press, London, 1971)Google Scholar
Kittel, C., Physique de l’état solide, 7th edn. (Dunod, Paris, 1998)Google Scholar
Grimech, H., Khater, A., Surf. Sci. 323, 198 (1995)CrossRef
Belhadi, M., Khater, A., Maschke, K., Surf. Rev. Lett. 11, 87 (2004)CrossRef
Rabia, M.S., Aouchiche, H., Lamrous, O., Eur. Phys. J. Appl. Phys. 23, 95 (2003)CrossRef
Devonshire, A.F., Proc. R. Soc. Lond.: Ser. A 158, 269 (1937)CrossRef
Stranchan, C., Proc. R. Soc. Lond.: Ser. A 158, 591 (1937)CrossRef
Goodman, F.O., Crit. Rev. Solid State Mater. Sci. 7, 33 (1977)CrossRef
Toennies, J.P., in Dynamics of Gas Surface Interactions, Spring Series in Chemical Physics, edited by Benedek, G., Valbusa, U., vol. 21 (Springer, Berlin, 1982), pp. 208226CrossRefGoogle Scholar