基于磁质谱原理的新型同位素质量分离器的数值研究

Numerical Researches on a Novel Isotope Separator Basing on Principle of Magnetic Mass Spectrometry

  • 摘要: 基于磁质谱原理设计了新型同位素质量分离器。不同质量的离子在轴对称电场和磁场中聚焦于不同位置并进入各自收集器,从而实现质量分离。由哈密顿原理推导出离子在分离器中运动轨迹的解析方程,结合电子恒温磁流体力学方程构建等离子体束流轨迹的混合数学模型。基于该混合数学模型,应用matlab模拟等离子体束流的聚焦和质量分离。从仿真结果可以看出,当忽略鞘层屏蔽效应时,束流在电场力作用下绕着对称轴做螺旋运动;当考虑鞘层屏蔽效应时,电子在弱磁场中受束缚作用较小,在鞘层中迅速积累,外电场很大程度上被鞘层屏蔽,束流运动半径迅速增加,尚未聚焦就到达外电极。随着轴向磁场的增强,鞘层屏蔽效应减弱。通过选取适当的磁场强度,可使不同质量的离子按荷质比的顺序分离,聚焦点的距离取决于离子质量。本研究对等离子体束流电磁控制进行了探索,该结果可为高纯度物质质量分离器的研制奠定理论基础。

     

    Abstract: A novel plasma mass separator is designed base on principle of magnetic mass spectrometry. In the axisymmetric structure orthogonal electric field and magnetic field, the different mass ions focusing in different position enter their respective collection devices to realize mass separation. An analytical equation for the motion trajectory of the ion in the separator is derived according to Hamilton principle, and a hybrid mathematical model of plasma beam trajectory by combining the electronic constant temperature MHD is constructed. Basing on the model, the focusing and mass separation of plasma beam are simulated with matlab. It is shown that when the shielding effect of the plasma sheath is ignored, the total force applied to the beam is equal to the electric field force, the spiral motion of ion will rotate around the axis of symmetry. When the shielding effect of the plasma sheath is considered, the electron transfer is under weak bound in small value of axial magnetic field. Electrons rapidly accumulate in the sheath, the electric field force is shielded to a large extent, the beam motion radius increases rapidly, ions arrive outer electrode before beam focusing. With the increase of the axial magnetic field, the electron conductivity is decreased, the electrons accumulation slow down, the shielding effect of the plasma sheath is weakened, radial and axial distance of beam focal position are obviously reduced. If the value of axial magnetic field is reasonable, the ions with different mass are separated in order of charge-mass ratio, and their focal position depend on the quality. Because the mass of different isotope ions is close, the distance of their focal position is small. The work is of great importance for the exploration of the electromagnetic control mechanism of plasma beam, and the results establish a theoretical foundation for the research and development of the high purity mass separation.

     

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