Estimation of magnetic nano-particles' size distribution using their magnetization curve

Ming Zhou; Wenzhong Liu; Li Kong

doi:10.1117/12.808375

12 January 2009 Estimation of magnetic nano-particles' size distribution using their magnetization curve

Ming Zhou, Wenzhong Liu, Li Kong

Proceedings Volume 7133, Fifth International Symposium on Instrumentation Science and Technology; 71334M (2009) https://doi.org/10.1117/12.808375
Event: International Symposium on Instrumentation Science and Technology, 2008, Shenyang, China

Abstract

In this paper, we illustrate a method of reconstructing the size distribution of magnetic nano-particles (MNP) using a magnetization curve that was measured on a water-based MNP. The objective was to find solutions to the ill-posed problem in the matrix equation Ax=b, which was obtained from the numerical model on magnetization. Prior the use of Singular Value Decomposition (SVD), a method utilizing a total of 60 sample points of magnetization curves was obtained from Superconducting QUantum Interface Devices (SQUID) in attempts to achieve a favorable solution. However, eliminating oscillation in this manner was proven difficult. Therefore, the Tikhonov regulation (A^TA-&agr;I) was offered in the solution to overcome the above-mentioned ill-posed problem. Size distributions from Tikhonov SVD (TSVD) were found stable. As predicted in previous theoretical analyses, a lognormal-like distribution of the MNP could be observed in single-origin MNP EMG1111.

Citation Download Citation

Ming Zhou, Wenzhong Liu, and Li Kong "Estimation of magnetic nano-particles' size distribution using their magnetization curve", Proc. SPIE 7133, Fifth International Symposium on Instrumentation Science and Technology, 71334M (12 January 2009); https://doi.org/10.1117/12.808375

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