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On the relationship between magnetic moment and nuclear magnetic hyperfine field of 57Fe

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Abstract

The relationship between the internal magnetic hyperfine field, Bhf, and the measured magnetic moment of Fe, μFe, has long been a challenge in Mössbauer spectroscopy, nuclear physics and materials science. In many publications, it has been reported that Bhf and μFe are proportional. In contrast, in the present work, it will be shown that the macroscopic measured magnetic moment by methods such as SQUID is the sum of the magnetic moment of delocalized electrons with 3d-character, μ3d, and the moment of electrons with sp-character, μsp. The sp. moment is, however, less significant for the arising of magnetic hyperfine field. Therefore, the direct relation of measured magnetic moment to magnetic hyperfine field of Fe leads to inaccurate interpretations. Instead, it can be shown that Bhf is associated with μ3d. The constant of proportionality, frequently used in Mössbauer spectroscopy, is typically determined from the relationship between measured values of the magnetic moment and the hyperfine fields. Based on the present findings, the constant of proportionality is the results of the relationship between Bhf and the delocalized magnetic moment, μ3d, which is different from the measured magnetic moment. The use of the correct constant of proportionality relating Bhf to the magnetic moment allows the separation of μ3d and μsp. In the present work, this relationship has been studied for crystalline Fe, amorphous Fe90Sc10 and (Fe100-xCoX)90Sc10 alloys, prepared as homogeneous structures or in the form of heterogeneous nanoglass.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant nos. 51520105001, 51571119) and the Fundamental Research Funds for the Central Universities (No. 30919011404). T.F. acknowledges the support from Qing Lan project and the distinguished professor project of Jiangsu province.

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Authors and Affiliations

  1. Herbert Gleiter Institute of Nanoscience, School of Materials Science & Engineering, Nanjing University of Science and Technology, Nanjing, 210094, China

    M. Ghafari, H. Hahn, T. Feng, R. Kruk & M. Yan

  2. Institute for Nanotechnology, Karlsruhe Institute of Technology (KIT), 76344, Eggenstein-Leopoldshafen, Germany

    H. Hahn & R. Kruk

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  1. M. Ghafari
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Correspondence to M. Ghafari.

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This article is part of the Topical Collection on Proceedings of the International Symposium on the Industrial Applications of the Mössbauer Effect (ISIAME), originally planned to be held in 2020 in Olomouc, Czech Republic, but postponed due to the corona-pandemic

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Ghafari, M., Hahn, H., Feng, T. et al. On the relationship between magnetic moment and nuclear magnetic hyperfine field of 57Fe. Hyperfine Interact 242, 2 (2021). https://doi.org/10.1007/s10751-021-01725-7

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