Breathing Mode Dynamics and Elastic Properties of Gold Nanoparticles
Charles F. Vardeman II, Patrick F. Conforti, Megan M. Sprague, and J. Daniel Gezelter *
Department of Chemistry and Biochemistry
University of Notre Dame
Notre Dame, Indiana 46556
We present calculations of the bulk modulus, heat capacity, and the
period of the breathing mode for spherical nanoparticles following
excitation by ultrafast laser pulses. The bulk modulus exhibits
relatively sharp transitions at both the surface-melting and bulk
melting transitions, while the heat capacity shows only a relatively
broad transition at the bulk melting temperature. Equilibrium
calculations of the heat capacity show that the melting transition is
sharper and occurs at a lower temperature than one would observe from
an ultrafast experiment. We also observe an intriguing splitting in
the low-frequency spectra of the nanoparticles and analyze this
splitting in terms of Lamb's classical theory of elastic spheres. We
conclude that the particles either 1) melt during the observation
period following laser excitation, or 2) melt an outer shell while
maintaining a crystalline core. Both mechanisms for melting are
commensurate with our observations.