The presented analysis of the temperature course of a phase transformation of nanoparticles offers a powerful tool to obtain data for the particle size distribution and the enthalpy of transformation. The analysis starts with the temperature distribution within an ensemble of nanoparticles and a functional relation between particle size and transformation temperature. In contrast to the Maxwell-Boltzmann distribution, in case of nanoparticles, the distribution of the temperature of the particles follows a normal distribution. Finally a reliable characterization of the specimen and the transformation in question are presented. These results, particularly the particle size distribution, represent – in many cases – a statistically more significant result as compared to the outcome, obtained by evaluation of electron micrographs. Looking at the problems of microcalorimetric determination of reaction enthalpies, one may realize comparable problems. By comparison of the experimental data with the calculated ones, one may obtain additional information about the interaction of the particles within the ensemble.

所提出的纳米颗粒相变温度过程的分析提供了一个强大的工具，可获取有关粒度分布和转化焓的数据。该分析从纳米颗粒整体内的温度分布以及粒度与转化温度之间的函数关系开始。与Maxwell-Boltzmann分布相反，在纳米颗粒的情况下，颗粒温度的分布遵循正态分布。最后，给出了样品的可靠表征和相关转化。这些结果，尤其是粒度分布，在许多情况下，与通过电子显微镜照片获得的结果相比，在统计学上更有意义。通过微量量热法确定反应焓的问题，人们可能会发现类似的问题。通过将实验数据与计算得出的数据进行比较，可以获得有关集合中粒子相互作用的其他信息。