Ashoor Mansour, Khorshidi Abdollah, Sarkhosh Leila
Radiation Application Research School, Nuclear Science and Technology Research Institute, AEOI, Tehran, Iran.
School of Paramedical, Gerash University of Medical Sciences, Gerash, Iran.
Heliyon. 2019 Jul 9;5(7):e02056. doi: 10.1016/j.heliyon.2019.e02056. eCollection 2019 Jul.
Nanoparticles (NPs) indicating a unique potential in bioradiation and nuclear reactor shielding are employed in many fields due to their particular specifications leading improving the mechanical properties as well as pore structure of the concrete-shield. The aim was to introduce a ( ), namely the experimental to theoretical density ratio for mixed-NPs material at various nanoparticles percent concentrations ( ) based on pure mathematical aspects along with the some suitable physical purposes by Monte Carlo method. The change in the mixture density to the change in is always proportional to the value. The density will become maximum at the in which the physical, morphological and chemical features of NPs along with the amounts of voids in the material have a key role over estimating porosity percentage. The NPs' separation probability as born-cascaded-pairs towards very small radii may be formulated as where and are constant values. In conclusion, the theoretical results may be experimentally used in future work for different applications such as designing shield at a nuclear facility.
纳米颗粒（NPs）在生物辐射和核反应堆屏蔽方面显示出独特的潜力，由于其特殊规格，可改善混凝土屏蔽的机械性能和孔隙结构，因此在许多领域得到应用。目的是基于纯数学方面以及通过蒙特卡罗方法实现的一些合适的物理目标，引入一个（ ），即不同纳米颗粒百分比浓度（ ）下混合纳米颗粒材料的实验密度与理论密度之比。混合物密度的变化与 的变化始终与 值成比例。在 时密度将达到最大值，此时纳米颗粒的物理、形态和化学特征以及材料中的空隙量在估计孔隙率百分比方面起着关键作用。纳米颗粒作为出生级联对向非常小半径的分离概率可表示为 ，其中 和 是常数。总之，理论结果未来可在不同应用的实验工作中使用，例如在核设施设计屏蔽。
