Gold nanocrystal properties dependence on size and shape at isobaric conditions

Abstract

Using the nanocrystal RP-model, the state equation of a gold was calculated. On the basis of this equation the isobaric dependence of the melting temperature on the size and shape was obtained at P = 0. It is shown, that the stronger the shape of the nanocrystal deviates from the most energetically effective one, the bigger the size of the nanocrystal at the crystallization start point. Approximation of such points for various shapes made it possible to determine the crystallization start temperature of the Au macrocrystal: Tcr(N = ∞, P = 0) = 921K, which coincided with the rule of Turnbull.

Keywords

• equation of state
• nanocrystal
• gold
• size
• shape