一种放射性递次衰变路径编码方法

A Coding Method for Decay Pathways in Successive Decay Chain

  • 摘要: 用二进制数对递次衰变链的衰变路径进行编码。采用Bateman方程的E因子解法和递归算法,编写了计算递次衰变链各成员活度的通用程序DecayChain。用该程序计算了递次衰变链228Th→208Pb共9个成员的生长-衰变曲线。给出了导致递次衰变链的总计数以单一半衰期随时间指数衰减各成员的相对探测效率应满足的条件,用程序DecayChain进行了验证。

     

    Abstract: The decay pathways in successive decay chain were coded with binary digits. Based the coding approach and by using the E-factor method and recursion algorithm, a general purpose computer code DecayChain for calculation of the growth and decay of any member in a successive decay chain was written. The usage of decay chain code was demonstrated by the calculation of individual activities of each progenies and the total activity for the successive decay chain 228Th through 208Pb (9 members). When the relative detection efficiencies of chain members happen to meet an equation deduced in this paper the total counting rate will exponentially decrease with time with a single half-life. This conclusion was verified by the calculation performed with DecayChain for a 4-membered decay chain.

     

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