Investigation of Magnetic Entropy Change in Intermetallic Compounds SmNi<sub>3−<i>x</i></sub>Fe<sub><i>x</i></sub> Based on Maxwell Relation and Phenomenological Model
In this study, we investigate the crystal structure, magnetic, and magnetocaloric effect properties in the intermetallic compounds SmNi<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow&...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-03-01
|
| Series: | Crystals |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-4352/12/4/481 |
| _version_ | 1797436176281370624 |
|---|---|
| author | Hamdi Jaballah Kamel Nouri Najeh Mliki Lotfi Bessais Mosbah Jemmali |
| author_facet | Hamdi Jaballah Kamel Nouri Najeh Mliki Lotfi Bessais Mosbah Jemmali |
| author_sort | Hamdi Jaballah |
| collection | DOAJ |
| description | In this study, we investigate the crystal structure, magnetic, and magnetocaloric effect properties in the intermetallic compounds SmNi<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mrow><mn>3</mn><mo>−</mo><mi>x</mi></mrow></msub></semantics></math></inline-formula>Fe<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mi>x</mi></msub></semantics></math></inline-formula> using a phenomenological model based on Landau mean-field theory and Maxwell relation (conventional method). SmNi<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mrow><mn>3</mn><mo>−</mo><mi>x</mi></mrow></msub></semantics></math></inline-formula>Fe<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mi>x</mi></msub></semantics></math></inline-formula> compounds were prepared under high pure argon by arc melting. To minimize the amount of other possible impurity phases, the ingots were heat-treated at 1073 K for seven days. X-ray diffraction (XRD) under and without an applied magnetic field was used for the structural study. Rietveld analysis with FullProf computer code was used to analyze X-ray diffraction data. The magnetization against temperature was measured under several applied magnetic fields. After the partial substitutions of nickel atom with iron one, we notice an increase of cell parameters. In addition, Curie temperature value increases significantly with the increase of iron content. According to the Landau model, SmNi<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mrow><mn>3</mn><mo>−</mo><mi>x</mi></mrow></msub></semantics></math></inline-formula>Fe<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mi>x</mi></msub></semantics></math></inline-formula> compounds exhibit a second-order magnetic phase transition. The magnetic entropy change was determined with theoretical and experimental methods. Finally, a comparison between theoretical magnetic entropy change and the experimental show an agreement between the two methods. |
| first_indexed | 2024-03-09T10:58:49Z |
| format | Article |
| id | doaj.art-0809cfeb1ee84150b6b5fa8274e60732 |
| institution | Directory Open Access Journal |
| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-03-09T10:58:49Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Crystals |
| spelling | doaj.art-0809cfeb1ee84150b6b5fa8274e607322023-12-01T01:24:12ZengMDPI AGCrystals2073-43522022-03-0112448110.3390/cryst12040481Investigation of Magnetic Entropy Change in Intermetallic Compounds SmNi<sub>3−<i>x</i></sub>Fe<sub><i>x</i></sub> Based on Maxwell Relation and Phenomenological ModelHamdi Jaballah0Kamel Nouri1Najeh Mliki2Lotfi Bessais3Mosbah Jemmali4ICMPE, CNRS, University Paris Est Creteil, UMR 7182, 2 Rue Henri Dunant, 94320 Thiais, FranceCapgemini Engineering, Direction Research & Innovation Department, 2 Rue Paul Dautier, 78140 Vélizy-Villacoublay, FranceLaboratoire Matériaux Organisation et Propriétés (LR99ES17), Faculté des Sciences de Tunis, Université de Tunis El Manar, Tunis 2092, TunisiaICMPE, CNRS, University Paris Est Creteil, UMR 7182, 2 Rue Henri Dunant, 94320 Thiais, FranceFaculty of Sciences, University of Sfax, LSME, BP1171, Sfax 3018, TunisiaIn this study, we investigate the crystal structure, magnetic, and magnetocaloric effect properties in the intermetallic compounds SmNi<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mrow><mn>3</mn><mo>−</mo><mi>x</mi></mrow></msub></semantics></math></inline-formula>Fe<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mi>x</mi></msub></semantics></math></inline-formula> using a phenomenological model based on Landau mean-field theory and Maxwell relation (conventional method). SmNi<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mrow><mn>3</mn><mo>−</mo><mi>x</mi></mrow></msub></semantics></math></inline-formula>Fe<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mi>x</mi></msub></semantics></math></inline-formula> compounds were prepared under high pure argon by arc melting. To minimize the amount of other possible impurity phases, the ingots were heat-treated at 1073 K for seven days. X-ray diffraction (XRD) under and without an applied magnetic field was used for the structural study. Rietveld analysis with FullProf computer code was used to analyze X-ray diffraction data. The magnetization against temperature was measured under several applied magnetic fields. After the partial substitutions of nickel atom with iron one, we notice an increase of cell parameters. In addition, Curie temperature value increases significantly with the increase of iron content. According to the Landau model, SmNi<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mrow><mn>3</mn><mo>−</mo><mi>x</mi></mrow></msub></semantics></math></inline-formula>Fe<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mi>x</mi></msub></semantics></math></inline-formula> compounds exhibit a second-order magnetic phase transition. The magnetic entropy change was determined with theoretical and experimental methods. Finally, a comparison between theoretical magnetic entropy change and the experimental show an agreement between the two methods.https://www.mdpi.com/2073-4352/12/4/481intermetallic rare-earth transition-metal compoundsphase transitionsphenomenological model |
| spellingShingle | Hamdi Jaballah Kamel Nouri Najeh Mliki Lotfi Bessais Mosbah Jemmali Investigation of Magnetic Entropy Change in Intermetallic Compounds SmNi<sub>3−<i>x</i></sub>Fe<sub><i>x</i></sub> Based on Maxwell Relation and Phenomenological Model Crystals intermetallic rare-earth transition-metal compounds phase transitions phenomenological model |
| title | Investigation of Magnetic Entropy Change in Intermetallic Compounds SmNi<sub>3−<i>x</i></sub>Fe<sub><i>x</i></sub> Based on Maxwell Relation and Phenomenological Model |
| title_full | Investigation of Magnetic Entropy Change in Intermetallic Compounds SmNi<sub>3−<i>x</i></sub>Fe<sub><i>x</i></sub> Based on Maxwell Relation and Phenomenological Model |
| title_fullStr | Investigation of Magnetic Entropy Change in Intermetallic Compounds SmNi<sub>3−<i>x</i></sub>Fe<sub><i>x</i></sub> Based on Maxwell Relation and Phenomenological Model |
| title_full_unstemmed | Investigation of Magnetic Entropy Change in Intermetallic Compounds SmNi<sub>3−<i>x</i></sub>Fe<sub><i>x</i></sub> Based on Maxwell Relation and Phenomenological Model |
| title_short | Investigation of Magnetic Entropy Change in Intermetallic Compounds SmNi<sub>3−<i>x</i></sub>Fe<sub><i>x</i></sub> Based on Maxwell Relation and Phenomenological Model |
| title_sort | investigation of magnetic entropy change in intermetallic compounds smni sub 3 i x i sub fe sub i x i sub based on maxwell relation and phenomenological model |
| topic | intermetallic rare-earth transition-metal compounds phase transitions phenomenological model |
| url | https://www.mdpi.com/2073-4352/12/4/481 |
| work_keys_str_mv | AT hamdijaballah investigationofmagneticentropychangeinintermetalliccompoundssmnisub3ixisubfesubixisubbasedonmaxwellrelationandphenomenologicalmodel AT kamelnouri investigationofmagneticentropychangeinintermetalliccompoundssmnisub3ixisubfesubixisubbasedonmaxwellrelationandphenomenologicalmodel AT najehmliki investigationofmagneticentropychangeinintermetalliccompoundssmnisub3ixisubfesubixisubbasedonmaxwellrelationandphenomenologicalmodel AT lotfibessais investigationofmagneticentropychangeinintermetalliccompoundssmnisub3ixisubfesubixisubbasedonmaxwellrelationandphenomenologicalmodel AT mosbahjemmali investigationofmagneticentropychangeinintermetalliccompoundssmnisub3ixisubfesubixisubbasedonmaxwellrelationandphenomenologicalmodel |