Phase coexistence in melting aluminum clusters

Journal of Chemical Physics

Volumn 130, Issue 20, 2009, Pages

  Cao, Baopeng ^a   Starace, Anne K ^a   Judd, Oscar H ^a   Jarrold, Martin F ^a  

^a INDIANA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALUMINUM CLUSTERS; BEST FIT; ENERGY DISTRIBUTIONS; EQUILIBRATION TIME; FREEZING TRANSITION; INDUCED DISSOCIATION; INTERNAL ENERGIES; MACROSCOPIC BEHAVIORS; PHASE CHANGE; PHASE CO-EXISTENCE; SMALL CLUSTERS; STATISTICAL THERMODYNAMIC MODELS; TWO PHASIS;

ALUMINA; ELECTRIC POWER DISTRIBUTION; FREEZING; ION BEAMS; MELTING; METAL MELTING;

ALUMINUM;

EID: 66749088617     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3129525     Document Type: Article

References (35)

1. C. L. Briant and J. J. Burton, J. Chem. Phys. 0021-9606 63, 2045 (1975). 10.1063/1.431542
2. R. S. Berry, J. Jellinek, and G. Natanson, Phys. Rev. A 1050-2947 30, 919 (1984). 10.1103/PhysRevA.30.919
3. T. L. Beck, J. Jellinek, and R. S. Berry, J. Chem. Phys. 0021-9606 87, 545 (1987). 10.1063/1.453602
4. H. Reiss, P. Mirabel, and R. L. Whetten, J. Phys. Chem. 0022-3654 92, 7241 (1988). 10.1021/j100337a016
5. P. Labastie and R. L. Whetten, Phys. Rev. Lett. 0031-9007 65, 1567 (1990). 10.1103/PhysRevLett.65.1567
6. H. -P. Cheng, X. Li, R. L. Whetten, and R. S. Berry, Phys. Rev. A 1050-2947 46, 791 (1992). 10.1103/PhysRevA.46.791
7. J. P. Rose and R. S. Berry, J. Chem. Phys. 0021-9606 98, 3246 (1993). 10.1063/1.464097
8. B. Vekhter and R. S. Berry, J. Chem. Phys. 0021-9606 106, 6456 (1997). 10.1063/1.473636
9. Consider a solid macroscopic object at its melting temperature. Its internal energy corresponds to the energy of the solid, and the energy distribution is narrow. If heat is transferred to the object, its internal energy increases and some of the solid melts. As more heat is transferred, more solid melts and the internal energy of the system (solid plus liquid) shifts to higher values until eventually the entire solid melts. The width of the internal energy distribution during this melting transition is the thermal width of the solid and liquid components, plus a contribution from fluctuations in the amounts of solid and liquid (which is small for a macroscopic object, but will become substantial for a small cluster).
10. J. Luo, U. Landman, and J. Jortner, in Physics and Chemistry of Small Clusters, NATO Advanced Studies Institute, Series B Vol. 158, edited by, P. Jena, B. K. Rao, and, S. Khanna, (Plenum, New York, 1987), p. 155.
11. C. L. Cleveland, U. Landman, and W. D. Luedtke, J. Phys. Chem. 0022-3654 98, 6272 (1994). 10.1021/j100076a007
12. C. L. Cleveland, W. D. Luedtke, and U. Landman, Phys. Rev. B 0163-1829 60, 5065 (1999). 10.1103/PhysRevB.60.5065
13. S. C. Hendy, Phys. Rev. B 0163-1829 71, 115404 (2005). 10.1103/PhysRevB.71.115404
14. D. Schebarchov and S. C. Hendy, J. Chem. Phys. 0021-9606 123, 104701 (2005). 10.1063/1.2000248
15. D. Schebarchov and S. C. Hendy, Phys. Rev. Lett. 0031-9007 95, 116101 (2005). 10.1103/PhysRevLett.95.116101
16. D. Schebarchov and S. C. Hendy, Phys. Rev. Lett. 0031-9007 96, 256101 (2006). 10.1103/PhysRevLett.96.256101
17. M. Schmidt, R. Kusche, W. Kronmüller, B. von Issendorf, and H. Haberland, Phys. Rev. Lett. 0031-9007 79, 99 (1997). 10.1103/PhysRevLett.79.99
18. M. Schmidt, R. Kusche, B. von Issendorf, and H. Haberland, Nature (London) 0028-0836 393, 238 (1998). 10.1038/30415
19. M. Schmidt and H. Haberland, C. R. Phys. 1631-0705 3, 327 (2002). 10.1016/S1631-0705(02)01326-9
20. M. Schmidt, J. Donges, Th. Hippler, and H. Haberland, Phys. Rev. Lett. 0031-9007 90, 103401 (2003). 10.1103/PhysRevLett.90.103401
21. A. A. Shvartsburg and M. F. Jarrold, Phys. Rev. Lett. 0031-9007 85, 2530 (2000). 10.1103/PhysRevLett.85.2530
22. G. A. Breaux, R. C. Benirschke, T. Sugai, B. S. Kinnear, and M. F. Jarrold, Phys. Rev. Lett. 0031-9007 91, 215508 (2003). 10.1103/PhysRevLett.91. 215508
23. G. A. Breaux, D. A. Hillman, C. M. Neal, R. C. Benirschke, and M. F. Jarrold, J. Am. Chem. Soc. 0002-7863 126, 8628 (2004). 10.1021/ja0477423
24. G. A. Breaux, B. Cao, and M. F. Jarrold, J. Phys. Chem. B 1089-5647 109, 16575 (2005). 10.1021/jp052887x
25. J. Bösiger and S. Leutwyler, Phys. Rev. Lett. 0031-9007 59, 1895 (1987). 10.1103/PhysRevLett.59.1895
26. M. Y. Hahn and R. L. Whetten, Phys. Rev. Lett. 0031-9007 61, 1190 (1988). 10.1103/PhysRevLett.61.1190
27. M. Schmidt, R. Kusche, T. Hippler, J. Donges, W. Kronmüller, B. von Issendorff, and H. Haberland, Phys. Rev. Lett. 0031-9007 86, 1191 (2001). 10.1103/PhysRevLett.86.1191
28. C. M. Neal, A. K. Starace, and M. F. Jarrold, Phys. Rev. B 0163-1829 76, 054113 (2007). 10.1103/PhysRevB.76.054113
29. C. M. Neal, A. K. Starace, and M. F. Jarrold, J. Am. Soc. Mass Spectrom. 1044-0305 18, 74 (2007). 10.1016/j.jasms.2006.08.019
30. C. M. Neal, G. A. Breaux, B. Cao, A. K. Starace, and M. F. Jarrold, Rev. Sci. Instrum. 0034-6748 78, 075108 (2007). 10.1063/1.2751393
31. M. F. Jarrold and E. C. Honea, J. Phys. Chem. 0022-3654 95, 9181 (1991). 10.1021/j100176a028
32. D. Poland, J. Chem. Phys. 0021-9606 126, 054507 (2007). 10.1063/1.2432121
33. M. F. Jarrold and E. C. Honea, J. Am. Chem. Soc. 0002-7863 114, 459 (1992). 10.1021/ja00028a010
34. This behavior might occur, for example, for large clusters, where the time it takes to heat them is comparable to the transit time through the temperature variable extension.
35. It does not include a contribution from fluctuations in the amounts of solid and liquid.