Investigating the Size and Microstrain Influence in the Magnetic Order/Disorder State of GdCu<sub>2</sub> Nanoparticles

A series of GdCu<inline-formula> <math display="inline"> <semantics> <msub> <mrow></mrow> <mn>2</mn> </msub> </semantics> </math> </inline-formula> nanoparticles with controlled sizes ranging from 7 nm to 40 nm has bee...

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Main Authors: E. M. Jefremovas, J. Alonso, M. de la Fuente Rodríguez, J. Rodríguez Fernández, J. I. Espeso, D. P. Rojas, A. García-Prieto, M. L. Fernández-Gubieda, L. Fernández Barquín
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Nanomaterials
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Online Access:https://www.mdpi.com/2079-4991/10/6/1117
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author E. M. Jefremovas
J. Alonso
M. de la Fuente Rodríguez
J. Rodríguez Fernández
J. I. Espeso
D. P. Rojas
A. García-Prieto
M. L. Fernández-Gubieda
L. Fernández Barquín
author_facet E. M. Jefremovas
J. Alonso
M. de la Fuente Rodríguez
J. Rodríguez Fernández
J. I. Espeso
D. P. Rojas
A. García-Prieto
M. L. Fernández-Gubieda
L. Fernández Barquín
author_sort E. M. Jefremovas
collection DOAJ
description A series of GdCu<inline-formula> <math display="inline"> <semantics> <msub> <mrow></mrow> <mn>2</mn> </msub> </semantics> </math> </inline-formula> nanoparticles with controlled sizes ranging from 7 nm to 40 nm has been produced via high-energy inert-gas ball milling. Rietveld refinements on the X-ray diffraction measurements ensure that the bulk crystalline <inline-formula> <math display="inline"> <semantics> <mrow> <mi>I</mi> <mi>m</mi> <mi>m</mi> <mi>a</mi> </mrow> </semantics> </math> </inline-formula> structure is retained within the nanoparticles, thanks to the employed low milling times ranging from <i>t</i> = 0.5 to <i>t</i> = 5 h. The analysis of the magnetic measurements shows a crossover from Superantiferromagnetism (SAF) to a Super Spin Glass state as the size decreases at NP size of <inline-formula> <math display="inline"> <semantics> <mrow> <mo>〈</mo> <mi>D</mi> <mo>〉</mo> <mo>≈</mo> </mrow> </semantics> </math> </inline-formula> 18 nm. The microstrain contribution, which is always kept below 1%, together with the increasing surface-to-core ratio of the magnetic moments, trigger the magnetic disorder. Additionally, an extra contribution to the magnetic disorder is revealed within the SAF state, as the oscillating RKKY indirect exchange achieves to couple with the aforementioned contribution that emerges from the size reduction. The combination of both sources of disorder leads to a maximised frustration for <inline-formula> <math display="inline"> <semantics> <mrow> <mo>〈</mo> <mi>D</mi> <mo>〉</mo> <mo>≈</mo> </mrow> </semantics> </math> </inline-formula> 25 nm sized NPs.
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spelling doaj.art-7d7c6df48f6b4fe7a85782bba2c6ac392023-11-20T02:57:34ZengMDPI AGNanomaterials2079-49912020-06-01106111710.3390/nano10061117Investigating the Size and Microstrain Influence in the Magnetic Order/Disorder State of GdCu<sub>2</sub> NanoparticlesE. M. Jefremovas0J. Alonso1M. de la Fuente Rodríguez2J. Rodríguez Fernández3J. I. Espeso4D. P. Rojas5A. García-Prieto6M. L. Fernández-Gubieda7L. Fernández Barquín8Dpto. CITIMAC, Facultad de Ciencias, Universidad de Cantabria, 39005 Santander, SpainDpto. CITIMAC, Facultad de Ciencias, Universidad de Cantabria, 39005 Santander, SpainDpto. CITIMAC, Facultad de Ciencias, Universidad de Cantabria, 39005 Santander, SpainDpto. CITIMAC, Facultad de Ciencias, Universidad de Cantabria, 39005 Santander, SpainDpto. CITIMAC, Facultad de Ciencias, Universidad de Cantabria, 39005 Santander, SpainDpto. Estructuras y Física de la Edificación, ETSAM, Universidad Politécnica de Madrid, 28040 Madrid, SpainDpto. de Física Aplicada I, Escuela de Ingeniería de Bilbao, 48013 Bilbao, SpainDpto. de Electricidad y Electrónica, Universidad del País Vasco—UPV/EHU, 48940 Leioa, SpainDpto. CITIMAC, Facultad de Ciencias, Universidad de Cantabria, 39005 Santander, SpainA series of GdCu<inline-formula> <math display="inline"> <semantics> <msub> <mrow></mrow> <mn>2</mn> </msub> </semantics> </math> </inline-formula> nanoparticles with controlled sizes ranging from 7 nm to 40 nm has been produced via high-energy inert-gas ball milling. Rietveld refinements on the X-ray diffraction measurements ensure that the bulk crystalline <inline-formula> <math display="inline"> <semantics> <mrow> <mi>I</mi> <mi>m</mi> <mi>m</mi> <mi>a</mi> </mrow> </semantics> </math> </inline-formula> structure is retained within the nanoparticles, thanks to the employed low milling times ranging from <i>t</i> = 0.5 to <i>t</i> = 5 h. The analysis of the magnetic measurements shows a crossover from Superantiferromagnetism (SAF) to a Super Spin Glass state as the size decreases at NP size of <inline-formula> <math display="inline"> <semantics> <mrow> <mo>〈</mo> <mi>D</mi> <mo>〉</mo> <mo>≈</mo> </mrow> </semantics> </math> </inline-formula> 18 nm. The microstrain contribution, which is always kept below 1%, together with the increasing surface-to-core ratio of the magnetic moments, trigger the magnetic disorder. Additionally, an extra contribution to the magnetic disorder is revealed within the SAF state, as the oscillating RKKY indirect exchange achieves to couple with the aforementioned contribution that emerges from the size reduction. The combination of both sources of disorder leads to a maximised frustration for <inline-formula> <math display="inline"> <semantics> <mrow> <mo>〈</mo> <mi>D</mi> <mo>〉</mo> <mo>≈</mo> </mrow> </semantics> </math> </inline-formula> 25 nm sized NPs.https://www.mdpi.com/2079-4991/10/6/1117magnetic nanoparticlesrare earth intermetallicsmagnetic couplingX-ray diffractionSpin Glass
spellingShingle E. M. Jefremovas
J. Alonso
M. de la Fuente Rodríguez
J. Rodríguez Fernández
J. I. Espeso
D. P. Rojas
A. García-Prieto
M. L. Fernández-Gubieda
L. Fernández Barquín
Investigating the Size and Microstrain Influence in the Magnetic Order/Disorder State of GdCu<sub>2</sub> Nanoparticles
Nanomaterials
magnetic nanoparticles
rare earth intermetallics
magnetic coupling
X-ray diffraction
Spin Glass
title Investigating the Size and Microstrain Influence in the Magnetic Order/Disorder State of GdCu<sub>2</sub> Nanoparticles
title_full Investigating the Size and Microstrain Influence in the Magnetic Order/Disorder State of GdCu<sub>2</sub> Nanoparticles
title_fullStr Investigating the Size and Microstrain Influence in the Magnetic Order/Disorder State of GdCu<sub>2</sub> Nanoparticles
title_full_unstemmed Investigating the Size and Microstrain Influence in the Magnetic Order/Disorder State of GdCu<sub>2</sub> Nanoparticles
title_short Investigating the Size and Microstrain Influence in the Magnetic Order/Disorder State of GdCu<sub>2</sub> Nanoparticles
title_sort investigating the size and microstrain influence in the magnetic order disorder state of gdcu sub 2 sub nanoparticles
topic magnetic nanoparticles
rare earth intermetallics
magnetic coupling
X-ray diffraction
Spin Glass
url https://www.mdpi.com/2079-4991/10/6/1117
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