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

Abstract The relationship between the internal magnetic hyperfine field, $ B_{hf} $, and the measured magnetic moment of Fe, $ μ_{Fe} $, has long been a challenge in Mössbauer spectroscopy, nuclear physics and materials science. In many publications, it has been reported that $ B_{hf} $ and $ μ_{Fe}...
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Autor*in:	Ghafari, M. [verfasserIn] Hahn, H. Feng, T. Kruk, R. Yan, M.

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	Magnetism Amorphous metals Transition metals

Anmerkung:	© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021

Übergeordnetes Werk:	Enthalten in: Hyperfine interactions - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1975, 242(2021), 1 vom: 03. Juni
Übergeordnetes Werk:	volume:242 ; year:2021 ; number:1 ; day:03 ; month:06

Links:	Volltext

DOI / URN:	10.1007/s10751-021-01725-7

Katalog-ID:	SPR044217765

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520			\|a Abstract The relationship between the internal magnetic hyperfine field, $ B_{hf} $, and the measured magnetic moment of Fe, $ μ_{Fe} $, has long been a challenge in Mössbauer spectroscopy, nuclear physics and materials science. In many publications, it has been reported that $ B_{hf} $ and $ μ_{Fe} $ 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, $ μ_{3d,} $ and the moment of electrons with sp-character, $ μ_{sp} $. 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 $ B_{hf} $ is associated with $ μ_{3d} $. 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 $ B_{hf} $ and the delocalized magnetic moment, $ μ_{3d} $, which is different from the measured magnetic moment. The use of the correct constant of proportionality relating $ B_{hf} $ to the magnetic moment allows the separation of $ μ_{3d} $ and $ μ_{sp} $. In the present work, this relationship has been studied for crystalline Fe, amorphous $ Fe_{90} %$ Sc_{10} $ and ($ Fe_{100-x} %$ Co_{X} $)90$ Sc_{10} $ alloys, prepared as homogeneous structures or in the form of heterogeneous nanoglass.
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700	1		\|a Hahn, H. \|4 aut
700	1		\|a Feng, T. \|4 aut
700	1		\|a Kruk, R. \|4 aut
700	1		\|a Yan, M. \|4 aut
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allfields	10.1007/s10751-021-01725-7 doi (DE-627)SPR044217765 (SPR)s10751-021-01725-7-e DE-627 ger DE-627 rakwb eng Ghafari, M. verfasserin (orcid)0000-0002-8486-4564 aut On the relationship between magnetic moment and nuclear magnetic hyperfine field of 57Fe 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021 Abstract The relationship between the internal magnetic hyperfine field, $ B_{hf} $, and the measured magnetic moment of Fe, $ μ_{Fe} $, has long been a challenge in Mössbauer spectroscopy, nuclear physics and materials science. In many publications, it has been reported that $ B_{hf} $ and $ μ_{Fe} $ 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, $ μ_{3d,} $ and the moment of electrons with sp-character, $ μ_{sp} $. 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 $ B_{hf} $ is associated with $ μ_{3d} $. 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 $ B_{hf} $ and the delocalized magnetic moment, $ μ_{3d} $, which is different from the measured magnetic moment. The use of the correct constant of proportionality relating $ B_{hf} $ to the magnetic moment allows the separation of $ μ_{3d} $ and $ μ_{sp} $. In the present work, this relationship has been studied for crystalline Fe, amorphous $ Fe_{90} %$ Sc_{10} $ and ($ Fe_{100-x} %$ Co_{X} $)90$ Sc_{10} $ alloys, prepared as homogeneous structures or in the form of heterogeneous nanoglass. Magnetism (dpeaa)DE-He213 Amorphous metals (dpeaa)DE-He213 Transition metals (dpeaa)DE-He213 Hahn, H. aut Feng, T. aut Kruk, R. aut Yan, M. aut Enthalten in Hyperfine interactions Dordrecht [u.a.] : Springer Science + Business Media B.V, 1975 242(2021), 1 vom: 03. Juni (DE-627)320612953 (DE-600)2021614-2 1572-9540 nnns volume:242 year:2021 number:1 day:03 month:06 https://dx.doi.org/10.1007/s10751-021-01725-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4313 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4700 AR 242 2021 1 03 06
spelling	10.1007/s10751-021-01725-7 doi (DE-627)SPR044217765 (SPR)s10751-021-01725-7-e DE-627 ger DE-627 rakwb eng Ghafari, M. verfasserin (orcid)0000-0002-8486-4564 aut On the relationship between magnetic moment and nuclear magnetic hyperfine field of 57Fe 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021 Abstract The relationship between the internal magnetic hyperfine field, $ B_{hf} $, and the measured magnetic moment of Fe, $ μ_{Fe} $, has long been a challenge in Mössbauer spectroscopy, nuclear physics and materials science. In many publications, it has been reported that $ B_{hf} $ and $ μ_{Fe} $ 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, $ μ_{3d,} $ and the moment of electrons with sp-character, $ μ_{sp} $. 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 $ B_{hf} $ is associated with $ μ_{3d} $. 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 $ B_{hf} $ and the delocalized magnetic moment, $ μ_{3d} $, which is different from the measured magnetic moment. The use of the correct constant of proportionality relating $ B_{hf} $ to the magnetic moment allows the separation of $ μ_{3d} $ and $ μ_{sp} $. In the present work, this relationship has been studied for crystalline Fe, amorphous $ Fe_{90} %$ Sc_{10} $ and ($ Fe_{100-x} %$ Co_{X} $)90$ Sc_{10} $ alloys, prepared as homogeneous structures or in the form of heterogeneous nanoglass. Magnetism (dpeaa)DE-He213 Amorphous metals (dpeaa)DE-He213 Transition metals (dpeaa)DE-He213 Hahn, H. aut Feng, T. aut Kruk, R. aut Yan, M. aut Enthalten in Hyperfine interactions Dordrecht [u.a.] : Springer Science + Business Media B.V, 1975 242(2021), 1 vom: 03. Juni (DE-627)320612953 (DE-600)2021614-2 1572-9540 nnns volume:242 year:2021 number:1 day:03 month:06 https://dx.doi.org/10.1007/s10751-021-01725-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4313 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4700 AR 242 2021 1 03 06
allfields_unstemmed	10.1007/s10751-021-01725-7 doi (DE-627)SPR044217765 (SPR)s10751-021-01725-7-e DE-627 ger DE-627 rakwb eng Ghafari, M. verfasserin (orcid)0000-0002-8486-4564 aut On the relationship between magnetic moment and nuclear magnetic hyperfine field of 57Fe 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021 Abstract The relationship between the internal magnetic hyperfine field, $ B_{hf} $, and the measured magnetic moment of Fe, $ μ_{Fe} $, has long been a challenge in Mössbauer spectroscopy, nuclear physics and materials science. In many publications, it has been reported that $ B_{hf} $ and $ μ_{Fe} $ 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, $ μ_{3d,} $ and the moment of electrons with sp-character, $ μ_{sp} $. 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 $ B_{hf} $ is associated with $ μ_{3d} $. 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 $ B_{hf} $ and the delocalized magnetic moment, $ μ_{3d} $, which is different from the measured magnetic moment. The use of the correct constant of proportionality relating $ B_{hf} $ to the magnetic moment allows the separation of $ μ_{3d} $ and $ μ_{sp} $. In the present work, this relationship has been studied for crystalline Fe, amorphous $ Fe_{90} %$ Sc_{10} $ and ($ Fe_{100-x} %$ Co_{X} $)90$ Sc_{10} $ alloys, prepared as homogeneous structures or in the form of heterogeneous nanoglass. Magnetism (dpeaa)DE-He213 Amorphous metals (dpeaa)DE-He213 Transition metals (dpeaa)DE-He213 Hahn, H. aut Feng, T. aut Kruk, R. aut Yan, M. aut Enthalten in Hyperfine interactions Dordrecht [u.a.] : Springer Science + Business Media B.V, 1975 242(2021), 1 vom: 03. Juni (DE-627)320612953 (DE-600)2021614-2 1572-9540 nnns volume:242 year:2021 number:1 day:03 month:06 https://dx.doi.org/10.1007/s10751-021-01725-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4313 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4700 AR 242 2021 1 03 06
allfieldsGer	10.1007/s10751-021-01725-7 doi (DE-627)SPR044217765 (SPR)s10751-021-01725-7-e DE-627 ger DE-627 rakwb eng Ghafari, M. verfasserin (orcid)0000-0002-8486-4564 aut On the relationship between magnetic moment and nuclear magnetic hyperfine field of 57Fe 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021 Abstract The relationship between the internal magnetic hyperfine field, $ B_{hf} $, and the measured magnetic moment of Fe, $ μ_{Fe} $, has long been a challenge in Mössbauer spectroscopy, nuclear physics and materials science. In many publications, it has been reported that $ B_{hf} $ and $ μ_{Fe} $ 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, $ μ_{3d,} $ and the moment of electrons with sp-character, $ μ_{sp} $. 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 $ B_{hf} $ is associated with $ μ_{3d} $. 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 $ B_{hf} $ and the delocalized magnetic moment, $ μ_{3d} $, which is different from the measured magnetic moment. The use of the correct constant of proportionality relating $ B_{hf} $ to the magnetic moment allows the separation of $ μ_{3d} $ and $ μ_{sp} $. In the present work, this relationship has been studied for crystalline Fe, amorphous $ Fe_{90} %$ Sc_{10} $ and ($ Fe_{100-x} %$ Co_{X} $)90$ Sc_{10} $ alloys, prepared as homogeneous structures or in the form of heterogeneous nanoglass. Magnetism (dpeaa)DE-He213 Amorphous metals (dpeaa)DE-He213 Transition metals (dpeaa)DE-He213 Hahn, H. aut Feng, T. aut Kruk, R. aut Yan, M. aut Enthalten in Hyperfine interactions Dordrecht [u.a.] : Springer Science + Business Media B.V, 1975 242(2021), 1 vom: 03. Juni (DE-627)320612953 (DE-600)2021614-2 1572-9540 nnns volume:242 year:2021 number:1 day:03 month:06 https://dx.doi.org/10.1007/s10751-021-01725-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4313 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4700 AR 242 2021 1 03 06
allfieldsSound	10.1007/s10751-021-01725-7 doi (DE-627)SPR044217765 (SPR)s10751-021-01725-7-e DE-627 ger DE-627 rakwb eng Ghafari, M. verfasserin (orcid)0000-0002-8486-4564 aut On the relationship between magnetic moment and nuclear magnetic hyperfine field of 57Fe 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021 Abstract The relationship between the internal magnetic hyperfine field, $ B_{hf} $, and the measured magnetic moment of Fe, $ μ_{Fe} $, has long been a challenge in Mössbauer spectroscopy, nuclear physics and materials science. In many publications, it has been reported that $ B_{hf} $ and $ μ_{Fe} $ 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, $ μ_{3d,} $ and the moment of electrons with sp-character, $ μ_{sp} $. 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 $ B_{hf} $ is associated with $ μ_{3d} $. 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 $ B_{hf} $ and the delocalized magnetic moment, $ μ_{3d} $, which is different from the measured magnetic moment. The use of the correct constant of proportionality relating $ B_{hf} $ to the magnetic moment allows the separation of $ μ_{3d} $ and $ μ_{sp} $. In the present work, this relationship has been studied for crystalline Fe, amorphous $ Fe_{90} %$ Sc_{10} $ and ($ Fe_{100-x} %$ Co_{X} $)90$ Sc_{10} $ alloys, prepared as homogeneous structures or in the form of heterogeneous nanoglass. Magnetism (dpeaa)DE-He213 Amorphous metals (dpeaa)DE-He213 Transition metals (dpeaa)DE-He213 Hahn, H. aut Feng, T. aut Kruk, R. aut Yan, M. aut Enthalten in Hyperfine interactions Dordrecht [u.a.] : Springer Science + Business Media B.V, 1975 242(2021), 1 vom: 03. Juni (DE-627)320612953 (DE-600)2021614-2 1572-9540 nnns volume:242 year:2021 number:1 day:03 month:06 https://dx.doi.org/10.1007/s10751-021-01725-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_266 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4313 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4700 AR 242 2021 1 03 06
language	English
source	Enthalten in Hyperfine interactions 242(2021), 1 vom: 03. Juni volume:242 year:2021 number:1 day:03 month:06
sourceStr	Enthalten in Hyperfine interactions 242(2021), 1 vom: 03. Juni volume:242 year:2021 number:1 day:03 month:06
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Magnetism Amorphous metals Transition metals
isfreeaccess_bool	false
container_title	Hyperfine interactions
authorswithroles_txt_mv	Ghafari, M. @@aut@@ Hahn, H. @@aut@@ Feng, T. @@aut@@ Kruk, R. @@aut@@ Yan, M. @@aut@@
publishDateDaySort_date	2021-06-03T00:00:00Z
hierarchy_top_id	320612953
id	SPR044217765
language_de	englisch
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author	Ghafari, M.
spellingShingle	Ghafari, M. misc Magnetism misc Amorphous metals misc Transition metals On the relationship between magnetic moment and nuclear magnetic hyperfine field of 57Fe
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topic_title	On the relationship between magnetic moment and nuclear magnetic hyperfine field of 57Fe Magnetism (dpeaa)DE-He213 Amorphous metals (dpeaa)DE-He213 Transition metals (dpeaa)DE-He213
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title	On the relationship between magnetic moment and nuclear magnetic hyperfine field of 57Fe
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title_full	On the relationship between magnetic moment and nuclear magnetic hyperfine field of 57Fe
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author_browse	Ghafari, M. Hahn, H. Feng, T. Kruk, R. Yan, M.
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title_sort	on the relationship between magnetic moment and nuclear magnetic hyperfine field of 57fe
title_auth	On the relationship between magnetic moment and nuclear magnetic hyperfine field of 57Fe
abstract	Abstract The relationship between the internal magnetic hyperfine field, $ B_{hf} $, and the measured magnetic moment of Fe, $ μ_{Fe} $, has long been a challenge in Mössbauer spectroscopy, nuclear physics and materials science. In many publications, it has been reported that $ B_{hf} $ and $ μ_{Fe} $ 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, $ μ_{3d,} $ and the moment of electrons with sp-character, $ μ_{sp} $. 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 $ B_{hf} $ is associated with $ μ_{3d} $. 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 $ B_{hf} $ and the delocalized magnetic moment, $ μ_{3d} $, which is different from the measured magnetic moment. The use of the correct constant of proportionality relating $ B_{hf} $ to the magnetic moment allows the separation of $ μ_{3d} $ and $ μ_{sp} $. In the present work, this relationship has been studied for crystalline Fe, amorphous $ Fe_{90} %$ Sc_{10} $ and ($ Fe_{100-x} %$ Co_{X} $)90$ Sc_{10} $ alloys, prepared as homogeneous structures or in the form of heterogeneous nanoglass. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021
abstractGer	Abstract The relationship between the internal magnetic hyperfine field, $ B_{hf} $, and the measured magnetic moment of Fe, $ μ_{Fe} $, has long been a challenge in Mössbauer spectroscopy, nuclear physics and materials science. In many publications, it has been reported that $ B_{hf} $ and $ μ_{Fe} $ 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, $ μ_{3d,} $ and the moment of electrons with sp-character, $ μ_{sp} $. 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 $ B_{hf} $ is associated with $ μ_{3d} $. 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 $ B_{hf} $ and the delocalized magnetic moment, $ μ_{3d} $, which is different from the measured magnetic moment. The use of the correct constant of proportionality relating $ B_{hf} $ to the magnetic moment allows the separation of $ μ_{3d} $ and $ μ_{sp} $. In the present work, this relationship has been studied for crystalline Fe, amorphous $ Fe_{90} %$ Sc_{10} $ and ($ Fe_{100-x} %$ Co_{X} $)90$ Sc_{10} $ alloys, prepared as homogeneous structures or in the form of heterogeneous nanoglass. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021
abstract_unstemmed	Abstract The relationship between the internal magnetic hyperfine field, $ B_{hf} $, and the measured magnetic moment of Fe, $ μ_{Fe} $, has long been a challenge in Mössbauer spectroscopy, nuclear physics and materials science. In many publications, it has been reported that $ B_{hf} $ and $ μ_{Fe} $ 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, $ μ_{3d,} $ and the moment of electrons with sp-character, $ μ_{sp} $. 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 $ B_{hf} $ is associated with $ μ_{3d} $. 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 $ B_{hf} $ and the delocalized magnetic moment, $ μ_{3d} $, which is different from the measured magnetic moment. The use of the correct constant of proportionality relating $ B_{hf} $ to the magnetic moment allows the separation of $ μ_{3d} $ and $ μ_{sp} $. In the present work, this relationship has been studied for crystalline Fe, amorphous $ Fe_{90} %$ Sc_{10} $ and ($ Fe_{100-x} %$ Co_{X} $)90$ Sc_{10} $ alloys, prepared as homogeneous structures or in the form of heterogeneous nanoglass. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021
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title_short	On the relationship between magnetic moment and nuclear magnetic hyperfine field of 57Fe
url	https://dx.doi.org/10.1007/s10751-021-01725-7
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author2	Hahn, H. Feng, T. Kruk, R. Yan, M.
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up_date	2024-07-03T23:34:13.942Z
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fullrecord_marcxml	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">SPR044217765</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230509100551.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">210604s2021 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10751-021-01725-7</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR044217765</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s10751-021-01725-7-e</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ghafari, M.</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(orcid)0000-0002-8486-4564</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">On the relationship between magnetic moment and nuclear magnetic hyperfine field of 57Fe</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2021</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The relationship between the internal magnetic hyperfine field, $ B_{hf} $, and the measured magnetic moment of Fe, $ μ_{Fe} $, has long been a challenge in Mössbauer spectroscopy, nuclear physics and materials science. In many publications, it has been reported that $ B_{hf} $ and $ μ_{Fe} $ 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, $ μ_{3d,} $ and the moment of electrons with sp-character, $ μ_{sp} $. 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 $ B_{hf} $ is associated with $ μ_{3d} $. 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 $ B_{hf} $ and the delocalized magnetic moment, $ μ_{3d} $, which is different from the measured magnetic moment. The use of the correct constant of proportionality relating $ B_{hf} $ to the magnetic moment allows the separation of $ μ_{3d} $ and $ μ_{sp} $. In the present work, this relationship has been studied for crystalline Fe, amorphous $ Fe_{90} %$ Sc_{10} $ and ($ Fe_{100-x} %$ Co_{X} $)90$ Sc_{10} $ alloys, prepared as homogeneous structures or in the form of heterogeneous nanoglass.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Magnetism</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Amorphous metals</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Transition metals</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hahn, H.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Feng, T.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kruk, R.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Yan, M.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Hyperfine interactions</subfield><subfield code="d">Dordrecht [u.a.] : Springer Science + Business Media B.V, 1975</subfield><subfield code="g">242(2021), 1 vom: 03. 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On the relationship between magnetic moment and nuclear magnetic hyperfine field of 57Fe

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