Relaxation of magnetization in endohedral metallofullerenes DySc₂N@C₈₀ is studied at different temperatures, in different magnetic fields, and in different molecular arrangements. Magnetization behavior and relaxation are analyzed for powder sample, and for DySc₂N@C₈₀ diluted in non-magnetic fullerene Lu₃N@C₈₀, adsorbed in voids of a metal–organic framework, and dispersed in a polymer. The magnetic field dependence and zero-field relaxation are also studied for single-crystals of DySc₂N@C₈₀ co-crystallized with Ni(II) octaethylporphyrin, as well as for the single crystal diluted with Lu₃N@C₈₀. Landau–Zener theory is applied to analyze quantum tunneling of magnetization in the crystals. The field dependence of relaxation rates revealed a dramatic dependence of the zero-field tunneling resonance width on the dilution and is explained with the help of an analysis of dipolar field distributions. AC magnetometry is used then to get access to the relaxation of magnetization in a broader temperature range, from 2 to 87 K. Finally, a theoretical framework describing the spin dynamics with dissipation is proposed to study magnetization relaxation phenomena in single molecule magnets.

中文翻译：

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单离子磁体 DySc2N@C80 中的磁化弛豫：量子隧穿、磁稀释和非常规的温度依赖性†

研究了在不同温度、不同磁场和不同分子排列下内嵌金属富勒烯 DySc ₂ N@C _{80的磁化弛豫。}分析了粉末样品的磁化行为和弛豫，以及在非磁性富勒烯 Lu ₃ N@ C ₈₀中稀释、吸附在金属-有机框架的空隙中并分散在聚合物中的 DySc ₂ N@C _{80 。}还研究了与 Ni( II ) 八乙基卟啉共结晶的 DySc ₂ N@C ₈₀单晶以及用 Lu ₃稀释的单晶的磁场依赖性和零场弛豫北卡罗来纳州₈₀。Landau-Zener 理论用于分析晶体中磁化的量子隧穿。弛豫率的场依赖性揭示了零场隧穿共振宽度对稀释度的显着依赖性，并在分析偶极场分布的帮助下进行了解释。然后使用交流磁力计在 2 到 87 K 的更宽温度范围内获得磁化弛豫。最后，提出了一个描述具有耗散的自旋动力学的理论框架，以研究单分子磁体中的磁化弛豫现象。