Size-dependent physicochemical properties of nanoparticles led to certain complications in thermodynamic calculations followed by energy balance as the first step in these calculations. This work reviewed recent studies on nanothermodynamic topics in an attempt to find some thermodynamic methods for establishing energy balance in systems containing nanoparticles. Some thermodynamic paths were introduced to establish energy balance for ease of calculation by avoiding unknown functions. Based on the proposed pathway, enthalpy changes for several processes involving nanoparticles, such as formation of nanoparticles and phase transitions, were investigated and formulated.

纳米粒子的尺寸依赖性理化性质导致热力学计算中的某些复杂性，随后是能量平衡，这是这些计算的第一步。这项工作回顾了有关纳米热力学主题的最新研究，试图找到一些在包含纳米颗粒的系统中建立能量平衡的热力学方法。引入了一些热力学路径来建立能量平衡，从而通过避免未知函数来简化计算。基于提出的途径，研究并制定了涉及纳米颗粒的多个过程的焓变，例如纳米颗粒的形成和相变。