Estimating the Mean Size of Magnetic Moments in Nanoparticles Using the Langevin Formula

Understanding the magnetic properties of nanoparticles is crucial for their applications. This article discusses the use of magnetization data of superparamagnetic nanoparticles to estimate the mean size of the magnetic moment through the Langevin formula. Three distinct approaches are explored: analyzing the magnetization curve in small magnetic fields, considering a log-normal distribution of particle sizes and fitting the data with the distribution function, and examining the curve at large magnetic fields. Each approach is detailed with relevant equations and assumptions, providing a comprehensive overview of how to effectively estimate the mean domain size of magnetic nanoparticles. The findings contribute to a better understanding of how the different parts of the magnetization curve influence the calculated mean magnetic size of superparamagnetic nanoparticles.

کلیدواژه ها:

magnetization curve ، mean size ، high magnetic fields ، low magnetic fields