Multi-Objective Preparation Process Optimization of Ultra-Small Manganese Ferrite Nanoparticles Using Probability-Based Method

With increasing demands for controllable synthesis of nanomaterials, it has become particularly important to develop efficient and accurate methods for optimizing preparation processes. This study focuses on the nucleation and growth stages in the synthesis of ultra-small manganese ferrite nanoparticles, aiming to clarify the influence mechanisms of key parameters such as oleic acid dosage, precursor concentration, and aging temperature on the product size and properties and to optimize the preparation process accordingly. The probability-based multi-objective optimization method was adopted, using the above parameters as optimization variables to systematically design and screen the experimental conditions. The results show that this method can effectively achieve the optimization of multiple objectives in the preparation process, providing a reliable methodological framework for the controlled synthesis of ultra-small manganese ferrite nanoparticles.