Abstract
We have investigated the melting of nano-sized cone shaped aluminium needles coated with amorphous carbon using transmission electron microscopy. The interface between solid and liquid aluminium was found to have spherical topology. For needles with fixed apex angle, the depressed melting temperature of this spherical interface, with radius R, was found to scale linearly with the inverse radius 1/R. However, by varying the apex angle of the needles we show that the proportionality constant between the depressed melting temperature and the inverse radius changes significantly. This led us to the conclusion that the depressed melting temperature is not controlled solely by the inverse radius 1/R. Instead, we found a direct relation between the depressed melting temperature and the ratio between the solid–liquid interface area and the molten volume.
Acknowledgements
This work was financially supported by the Japan Society for the Promotion of Science under Grants-in-Aid for Scientific Research CA (Contact No. 14205092), and the Danish Natural Science Research Council. J.C. would like to thank the Association of International Education Japan (AIEJ), Julie Marie Vinter Hansens Fond, Nordea Danmark Fond, Julie Damms Fond and Vordingborg Gynmasium's fund for financial support during this work.