# Measuring magnetic moments of polydisperse ferrofluids utilizing the inverse Langevin function

## TL;DR

This paper introduces a graphical method using the inverse Langevin function to measure magnetic moments in polydisperse ferrofluids, providing a distribution-agnostic approach that yields mean particle strengths.

## Contribution

It presents a novel, model-independent graphical technique for determining magnetic moments in ferrofluids, avoiding assumptions about particle distribution functions.

## Key findings

- Accurately measures magnetic moments without assuming distribution shape
- Provides arithmetic and harmonic mean of particle distribution
- Offers a practical alternative to curve fitting methods

## Abstract

The dipole strength of magnetic particles in a suspension is obtained by a graphical rectification of the magnetization curves based on the inverse Langevin function. The method yields the arithmetic and the harmonic mean of the particle distribution. It has an advantage compared to the fitting of magnetization curves to some appropriate mathematical model: It does not rely on assuming a particular distribution function of the particles.