Abstract It is important to construct the correct formula for alpha decay half-lives. The present work verifies the validity of Geiger–Nuttall law (GNL) for actinides and hence presenting the simple empirical formula for alpha decay energies and halflives for actinides based on the available experimental results. We have studied the variation of logarithmic halflives with Z d n Q − 1 / 2 ${Z}_{d}^{n}{Q}^{-1/2}$ for different values of n (0.2–1). The variation of logarithmic halflives with Z d n Q − 1 / 2 ${Z}_{d}^{n}{Q}^{-1/2}$ is found to be linear for which n = 0.6. The values produced by the present formula compared with that of experiments. The present formulae successfully produces the alpha decay half-lives and Q-value in the actinide region. This formula is specially for actinide parent nuclei only.

中文翻译：

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α 衰变能量和锕系原子核半衰期的袖珍公式

摘要 构建正确的α衰变半衰期公式很重要。目前的工作验证了 Geiger-Nuttall 定律 (GNL) 对锕系元素的有效性，因此基于可用的实验结果提出了锕系元素的 α 衰变能量和半衰期的简单经验公式。我们研究了对数半衰期随 Z dn Q − 1 / 2 ${Z}_{d}^{n}{Q}^{-1/2}$ 对于不同 n (0.2–1) 值的变化。发现对数半衰期随 Z dn Q − 1 / 2 ${Z}_{d}^{n}{Q}^{-1/2}$ 的变化是线性的，其中 n = 0.6。本公式产生的值与实验值相比较。本公式成功地产生了锕系区域的 α 衰变半衰期和 Q 值。该公式仅适用于锕系母核。