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Melting temperature of small clusters
A161 Surface Science 106 (1981) 1-9 North-Holland Publishing Company
THERMODYNAMICAL SIZE EFFECT AND THE STRUCTURE OF METALLIC CLUSTERS J.-P. B O R E L Laboratoire de Physique Exp~rimentale, Ecole Polytechnique Fjd~rale, Lausanne, Switzerland Received 8 September 1980; accepted for publication 15 October 1980 A review of several therrnodynamical size effects is presented. The analysis reveals the need of new calculations and measurements of the melting of the very small clusters having less than 100 atoms, in order to know how the melting temperature varies with the size, and if there exists a smearing out of the solid-liquid transition.
Surface Science 106 (1981) 10 North-Holland Publishing Company
SIZE DEPENDENCE OF MELTING POINT IN SMALL PARTICLES M. HASEGAWA and M. WATABE Faculty of Integrated Arts and Sciences, Hiroshima University, Hiroshima 730, Japan and K. HOSH1NO Faculty of Engineering, Niigata University, Niigata 950-21, Japan Received 8 September 1980; accepted for publication 2,1 October 1980
Surface Science 106 (1981) 11-17 North-Holland Publishing Company
MELTING TEMPERATURE OF SMALL CLUSTERS J. ROSS and R.P. ANDRES* Department of Chemical Engineering, Princeton University, Princeton, New Jersey 08544, USA Received 8 September 1980; accepted for publication 15 October 1980
An analytical expression for the melting temperature of small clusters is derived using the microscopic capillarity approximation of Griffin and Andres. This relation Tm(i) _ 13\ 1/3 / Tin(3) _ Tm(o0)- 1 - a ~ t ) + ~,Tm(oo) I ÷ A ) ( ~ ) , is valid for clusters from the trimer to macroscopic size. Good agreement is found between the predictions of the above equation and experimental data for gold and theoretical calculations for argon.
THERMODYNAMICAL SIZE EFFECT AND THE STRUCTURE OF METALLIC CLUSTERS J.-P. B O R E L Laboratoire de Physique Exp~rimentale, Ecole Polytechnique Fjd~rale, Lausanne, Switzerland Received 8 September 1980; accepted for publication 15 October 1980 A review of several therrnodynamical size effects is presented. The analysis reveals the need of new calculations and measurements of the melting of the very small clusters having less than 100 atoms, in order to know how the melting temperature varies with the size, and if there exists a smearing out of the solid-liquid transition.
Surface Science 106 (1981) 10 North-Holland Publishing Company
SIZE DEPENDENCE OF MELTING POINT IN SMALL PARTICLES M. HASEGAWA and M. WATABE Faculty of Integrated Arts and Sciences, Hiroshima University, Hiroshima 730, Japan and K. HOSH1NO Faculty of Engineering, Niigata University, Niigata 950-21, Japan Received 8 September 1980; accepted for publication 2,1 October 1980
Surface Science 106 (1981) 11-17 North-Holland Publishing Company
MELTING TEMPERATURE OF SMALL CLUSTERS J. ROSS and R.P. ANDRES* Department of Chemical Engineering, Princeton University, Princeton, New Jersey 08544, USA Received 8 September 1980; accepted for publication 15 October 1980
An analytical expression for the melting temperature of small clusters is derived using the microscopic capillarity approximation of Griffin and Andres. This relation Tm(i) _ 13\ 1/3 / Tin(3) _ Tm(o0)- 1 - a ~ t ) + ~,Tm(oo) I ÷ A ) ( ~ ) , is valid for clusters from the trimer to macroscopic size. Good agreement is found between the predictions of the above equation and experimental data for gold and theoretical calculations for argon.