中国物理B ›› 2024, Vol. 33 ›› Issue (7): 77502-077502.doi: 10.1088/1674-1056/ad39d1

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Theoretical characterization of the temperature-dependent saturation magnetization of magnetic metallic materials

Jin-Long Wu(吴金龙)1,2, Pan Dong(董攀)2, Yi He(贺屹)3, Yan-Li Ma(马艳丽)2, Zi-Yuan Li(李梓源)2, Qin-Yuan Yao(姚沁远)2, Jun Qiu(邱俊)2, Jian-Zuo Ma(麻建坐)1,2,4, and Wei-Guo Li(李卫国)1,2,†   

  1. 1 State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing 400044, China;
    2 College of Aerospace Engineering, Chongqing University, Chongqing 400044, China;
    3 College of Intelligent Systems Science and Engineering, Hubei Minzu University, Enshi 445000, China;
    4 College of Mechanical Engineering and Automation, Chongqing Industry Polytechnic Colleg, Chongqing 401120, China
  • 收稿日期:2024-02-04 修回日期:2024-04-02 接受日期:2024-04-03 出版日期:2024-06-18 发布日期:2024-06-18
  • 通讯作者: Wei-Guo Li E-mail:wgli@cqu.edu.cn
  • 基金资助:
    Project supported by the Natural Science Foundation of Chongqing (Grant No. CSTB2022NSCQ-MSX0391).

Theoretical characterization of the temperature-dependent saturation magnetization of magnetic metallic materials

Jin-Long Wu(吴金龙)1,2, Pan Dong(董攀)2, Yi He(贺屹)3, Yan-Li Ma(马艳丽)2, Zi-Yuan Li(李梓源)2, Qin-Yuan Yao(姚沁远)2, Jun Qiu(邱俊)2, Jian-Zuo Ma(麻建坐)1,2,4, and Wei-Guo Li(李卫国)1,2,†   

  1. 1 State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing 400044, China;
    2 College of Aerospace Engineering, Chongqing University, Chongqing 400044, China;
    3 College of Intelligent Systems Science and Engineering, Hubei Minzu University, Enshi 445000, China;
    4 College of Mechanical Engineering and Automation, Chongqing Industry Polytechnic Colleg, Chongqing 401120, China
  • Received:2024-02-04 Revised:2024-04-02 Accepted:2024-04-03 Online:2024-06-18 Published:2024-06-18
  • Contact: Wei-Guo Li E-mail:wgli@cqu.edu.cn
  • Supported by:
    Project supported by the Natural Science Foundation of Chongqing (Grant No. CSTB2022NSCQ-MSX0391).

摘要: Based on the force-heat equivalence energy density principle, a theoretical model for magnetic metallic materials is developed, which characterizes the temperature-dependent magnetic anisotropy energy by considering the equivalent relationship between magnetic anisotropy energy and heat energy; then the relationship between the magnetic anisotropy constant and saturation magnetization is considered. Finally, we formulate a temperature-dependent model for saturation magnetization, revealing the inherent relationship between temperature and saturation magnetization. Our model predicts the saturation magnetization for nine different magnetic metallic materials at different temperatures, exhibiting satisfactory agreement with experimental data. Additionally, the experimental data used as reference points are at or near room temperature. Compared to other phenomenological theoretical models, this model is considerably more accessible than the data required at 0 K. The index included in our model is set to a constant value, which is equal to $10/3$ for materials other than Fe, Co, and Ni. For transition metals (Fe, Co, and Ni in this paper), the index is 6 in the range of 0 K to 0.65$T_{\rm cr}$ ($T_{\rm cr}$ is the critical temperature), and 3 in the range of 0.65$T_{\rm cr}$ to $T_{\rm cr}$, unlike other models where the adjustable parameters vary according to each material. In addition, our model provides a new way to design and evaluate magnetic metallic materials with superior magnetic properties over a wide range of temperatures.

关键词: magnetic metallic materials, temperature dependent, saturation magnetization, modeling

Abstract: Based on the force-heat equivalence energy density principle, a theoretical model for magnetic metallic materials is developed, which characterizes the temperature-dependent magnetic anisotropy energy by considering the equivalent relationship between magnetic anisotropy energy and heat energy; then the relationship between the magnetic anisotropy constant and saturation magnetization is considered. Finally, we formulate a temperature-dependent model for saturation magnetization, revealing the inherent relationship between temperature and saturation magnetization. Our model predicts the saturation magnetization for nine different magnetic metallic materials at different temperatures, exhibiting satisfactory agreement with experimental data. Additionally, the experimental data used as reference points are at or near room temperature. Compared to other phenomenological theoretical models, this model is considerably more accessible than the data required at 0 K. The index included in our model is set to a constant value, which is equal to $10/3$ for materials other than Fe, Co, and Ni. For transition metals (Fe, Co, and Ni in this paper), the index is 6 in the range of 0 K to 0.65$T_{\rm cr}$ ($T_{\rm cr}$ is the critical temperature), and 3 in the range of 0.65$T_{\rm cr}$ to $T_{\rm cr}$, unlike other models where the adjustable parameters vary according to each material. In addition, our model provides a new way to design and evaluate magnetic metallic materials with superior magnetic properties over a wide range of temperatures.

Key words: magnetic metallic materials, temperature dependent, saturation magnetization, modeling

中图分类号:  (Metals and alloys)

  • 75.20.En
75.50.Cc (Other ferromagnetic metals and alloys)