Na-K合金微观结构及扩散行为的AIMD计算

Ab Initio Molecular Dynamics Calculation of Microstructure and Diffusion Behavior of Na-K Alloy

  • 摘要: 为揭示液态Na-K合金的微观结构与扩散行为,本文采用第一性原理分子动力学(AIMD)方法系统研究温度和组成变化对体系结构与输运性质的影响。通过径向分布函数、角分布函数和结构因子分析微观结构特征,结合时间平均均方位移与Einstein关系计算Na、K原子的自扩散系数并拟合扩散活化能。结果表明:液态Na-K合金呈现短程有序、长程无序的微观结构特征;升高温度会削弱其短程有序性并提高Na、K原子的扩散系数;随Na原子百分比增加,体系平均原子间距减小,自扩散系数均降低。Na原子的扩散活化能(13.4 kJ/mol)高于K原子的(11.0 kJ/mol),表明其扩散行为对温度变化更为敏感。AIMD模拟可有效捕捉液态Na-K合金的微观组织和扩散行为,为Na-K合金作为快堆冷却剂的应用提供了基础。

     

    Abstract: The sodium-potassium (Na-K) alloy is characterized by some exceptional physical and chemical properties and combines not only metallicity and fluidity, but also the strongest reduction potential, which makes it useful for many scientific and industrial applications. The Na-K alloy has garnered widespread attention in the development of advanced nuclear energy systems due to its excellent thermal conductivity and favorable passive safety characteristics as a liquid metal coolant. Understanding the microstructure and diffusion behavior of Na-K alloys from an atomic perspective is essential for elucidating their unique transport properties, such as heat transfer. This paper presented a systematic investigation of the effects of temperature and composition on the microstructure and diffusion behavior of Na-K alloys, conducted using ab initio molecular dynamics (AIMD) simulations. All the AIMD calculations were performed using the Quickstep module of the CP2K program. The Perdew-Burke-Ernzerhof (PBE) functional combined with D3BJ dispersion correction was employed at the Gamma point to account for electron exchange-correlation interactions. The core electrons of Na and K atoms were treated using the Goedecker-Teter-Hutter (GTH) norm-conserving pseudopotentials, while valence electrons were described using the double-ζ basis set DZVP-MOLOPT-SR-GTH. A cubic box containing a total of 200 Na and K atoms was constructed to investigate the effects of temperature and composition on the microstructure of Na-K alloys using three-dimensional periodic boundary conditions. After the system was fully equilibrated, a 20 ps production run was carried out using the NVT ensemble with the CSVR thermostat to generate trajectories for further statistical analysis. To validate the simulation approach, the AIMD results for density and structure factor S(k) were compared with reported experimental data at given temperatures and compositions. The essential consistency observed indicates that the AIMD method is effective in reflecting the physical and structural characteristics of Na-K alloys. The radical distribution functions (RDF), angle distribution functions (ADF) and S(k) were combined to gain insight to the local structure of Na-K alloys. The calculation results indicate that temperature and composition do not significantly affect the structural characteristics of the inner coordination sphere of Na atoms in Na-K alloys. The mean square displacement (MSD) and diffusion coefficients were also calculated to evaluate the diffusion characteristic. The results show that the diffusion coefficients are sensitive to the temperature and composition. And due to lower atomic mass compared to K, the Na atom exhibits a higher diffusion coefficient. The diffusion activation energies of Na atom (13.4 kJ/mol) in Na-K alloy are larger than the K atoms (11.0 kJ/mol), which means that the diffusion behaviors of Na atoms are more dependent on temperature. The overall diffusivity decreases with increasing Na content, which may be ascribed to the stronger interatomic interactions originating from Na’s smaller atomic radius, thereby imposing greater resistance to atomic migration. These results show that AIMD effectively captures the microstructure and diffusion behavior of liquid Na-K alloys and provides theoretical perspectives for the application of Na-K alloy as coolant in fast reactors.

     

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