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This paper presents a novel method for estimating the temperature of magneticnanoparticles (MNPs) based on AC magnetization harmonics of MNPs dominated byBrownian relaxation. The difference in the AC magnetization response andmagnetization harmonic between the Fokker-Planck equation and the Langevinfunction was analyzed, and we studied the relationship between themagnetization harmonic and the key factors, such as Brownian relaxation time,temperature, magnetic field strength, core size and hydrodynamic size of MNPs,excitation frequency, and so on. We proposed a compensation function for ACmagnetization harmonic with consideration of the key factors and the differencebetween the Fokker-Planck equation and the Langevin function. Then atemperature estimation model based on the compensation function and theLangevin function was established. By employing the least squares algorithm,the temperature was successfully calculated. The experimental results show thatthe temperature error is less than 0.035 K in the temperature range from 310 Kto 320 K. The temperature estimation model is expected to improve theperformance of the magnetic nanoparticle thermometer and be applied to magneticnanoparticle-mediated hyperthermia.

A Novel Estimation Method for Temperature of Magnetic Nanoparticles Dominated by Brownian Relaxation Based on Magnetic Particle Spectroscopy