Abstract
We discuss the role and the treatment of polarization effects in many-body systems of charged conducting clusters and apply this to the statistical fragmentation of Naclusters. We see a first order microcanonical phase transition in the fragmentation of Na Z+70 for Z = 0 to 8. We can distinguish two fragmentation phases, namely evaporation of large particles from a large residue and a complete decay into small fragments only. Charging the cluster shifts the transition to lower excitation energies and forces the transition to disappear for charges higher than Z = 8. At very high charges the fragmentation phase transition no longer occurs because the cluster Coulomb-explodes into small fragments even at excitation energy ε* = 0.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
D.H.E. Gross, M.E. Madjet, O. Schapiro, Z. Phys. D 39, 75–83 (1997)
M.E. Madjet, P.A. Hervieux, D.H.E. Gross, O. Schapiro: Fragmentation Phase Transitions in Atomic Clusters II, Symmetry of Fission of Charged Metal Clusters, Z. Phys. D 39, 309 (1997)
D.H.E. Gross: Rep. Prog. Phys. 53, 605 (1990)
A. Chbihi, D.H.E. Gross, O. Schapiro, S. Salou, L.G. Sobotka: (to be published)
D.H.E. Gross, P.A. Hervieux: Z. Phys. D 35, 27 (1995)
C. Brechignac, Ph. Cahuzac, J. Leygnier, I. Weiner: Dynamics of unimolecular dissociation of sodium cluster ions. J. Chem. Phys. 90, 1492 (1989)
M.M. Kappes, M. Schär, U. Röthlisberger, G. Yeritzian, E. Schumacher, Sodium cluster ionization potentials revisited: Higherresolution measurements for Nax (x<23) and their relation to bonding models. Chem. Phys. Lett. 143, 251 (1988)
Lord Rayleigh: Philos. Mag. XIV, 184 (1882)
C. Baladron, J.M. Lopez, M.P. Iniguez, J.A. Alonso: Coulomb explosion of charged jellium clusters. Z. Phys. D 11, 323 (1989)
K. Sattler, J. Mühlbach, O. Hecht, P. Pfau, E. Recknagel: Evidence for Coulomb Explosion of Doubly Charged Microclusters Phys. Rev. Lett. 47, 160 (1981)
U. Näher, H. Göhlich, T. Lange, T.P. Martin: Observation of Highly Charged Sodium Clusters. Phys. Rev. Lett. 68, 3416 (1992)
A. Hüller: Finite size scaling at first order phase transitions? Z. Phys. B 95, 63 (1994)
D.H.E. Gross: Microcanonical Thermodynamics and Statistical Fragmentation of Dissipative Systems - the Topological Structure of the N-body Phase Space. Phys. Rep. 279, 119 (1997)
R.N. Barnett, U. Landman, G. Rajagopal: Patterns and Barriers for Fission of Charged Small Metal clusters. Phys. Rev. Lett 67, 3058 (1991)
C. Brechignac, Ph. Cahuzac, F. Carlier, M. de Frutos, J. Leygnier: Simple metal clusters. Z. Phys. D 19, 1 (1991)
H.J. Krappe: Z. Phys. D 23, 269 (1992)
J. D. Jackson: Classical Electrodynamics, Chapt. 2. New York: John Wiley & Sons 1975
C. Brechignac, Ph. Cahuzac, F. Carlier, J. Leygnier: Photoionization of Mass-Selected K+ n Ions: A test for the Ionization Scaling Law. Phys. Rev. Lett. 63, 1368 (1989)
O. Schapiro, PhD-Thesis, Freie Universität Berlin, Fachbereich Physik, 1997
P.J. Kuntz: A DIM model for sodium cluster-ions interacting with a charged conducting sphere, Mol. Phys. 88, 693 (1996)
C. Yannouleas, U. Landman: Chem. Phys. Lett. 210, 437 (1993)
C. Yannouleas, U. Landman: Phys. Rev. B51, 1902 (1995)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Schapiro, O., Kuntz, P., Möhring, K. et al. Fragmentation phase transitions in atomic clusters III. Z Phys D - Atoms, Molecules and Clusters 41, 219–227 (1997). https://doi.org/10.1007/s004600050314
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s004600050314