3 years ago
Universal Size Dependence of Integral Enthalpy and Entropy for Solid–Solid Phase Transitions of Nanocrystals
Shuting Wang, Qingshan Fu, Zixiang Cui, Yongqiang Xue, Huijuan Duan
There is a significant effect of particle size on the solid–solid phase transition of nanocrystals, but the precise relations of integral enthalpy and entropy of phase transition with particle size have not been reported. In this paper, we deduced the fundamental equations of the integral enthalpy and entropy of solid–solid phase transitions for nanocrystals with different particle sizes, respectively. These universal and precise thermodynamic relations, free of any adjustable parameter, can precisely describe the real process of phase transition. Experimentally, we researched the phase transition from tetragonal to cubic of nano-PbTiO3 with different diameters (24.8, 35.6, 41.9, 54.2, 63.7, and 70.1 nm). The regularities obtained from these experiments were consistent with the theoretical relations. There were linear relations between the integral enthalpy and entropy of solid–solid phase transition and the reciprocal of size of nanocrystals as the radius exceeds 10 nm. Our thermodynamic relations and the quantitative size-dependent regularities of solid–solid phase transition can provide references for explaining and confirming the solid–solid phase transitions involved in the real processes of preparation and application of nanocrystals.
Publisher URL: http://dx.doi.org/10.1021/acs.jpcc.7b07193
DOI: 10.1021/acs.jpcc.7b07193
You might also like
Never Miss Important Research
Researcher is an app designed by academics, for academics. Create a personalised feed in two minutes.
Choose from over 15,000 academics journals covering ten research areas then let Researcher deliver you papers tailored to your interests each day.
Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.