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采用体扩散模型,假定Sn在CuSn母体中的扩散是Nb_3Sn层生长的控制因素,考虑了青铜法和Nb管富Sn法这两种典型的成材方法的几何构形所形成的边界条件,在一级近似下解出了Nb_3Sn层厚度和热处理时间的依赖关系。结果表明:Nb_3Sn层生长速率与超导材料的复合构形、Nb纤维以及CuSn母体的几何参数有内在联系。理论与实验结果定性相符。

Boundary conditions constructed by two typical geometrical config-urations related to the manufacturing methods of bronze process and tin-rich Nbtube method have been considered in a diffusion model in which the diffusion ofSn in CuSn matrix plays a major role is assumed. The dependence of thickness ofNb_3Sn layer on reaction time has been derived. It is shown that the growth rate ofNb_3Sn relates to the configuration of the superconductor, the geometrical parametersof Nb filaments and CuSn matrix. The theory are qualitatively consistent with theexperimental results.

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