CAJ | 학술논문

级联衰变动力学方程是描述放射性同位素衰变规律的基本方程之一,衰变过程的复杂性和衰变子体的多样性,使级联衰变动力学计算十分复杂.本工作分3种情况给出通用级联衰变动力学解析解表达式,用矩阵甬数对其进行形式简化,使级联衰变动力学计算简单明了,便于应用;对级联衰变公式进行简单讨论,并利用该公式求解了~(239)Pu级联衰变中各级子体的原子数及~(239)Pu的衰变热功率.
급련쇠변동역학방정시묘술방사성동위소쇠변규률적기본방정지일,쇠변과정적복잡성화쇠변자체적다양성,사급련쇠변동역학계산십분복잡.본공작분3충정황급출통용급련쇠변동역학해석해표체식,용구진용수대기진행형식간화,사급련쇠변동역학계산간단명료,편우응용;대급련쇠변공식진행간단토론,병이용해공식구해료~(239)Pu급련쇠변중각급자체적원자수급~(239)Pu적쇠변열공솔.
Decay cascade equations describing the decay ways of radioactive isotopes are very complex due to the complexity of decay ways and variety of daughters. This work solved the decay dynamic functions and gave the simplified analytical answer equations in three forms by means of function matrix. The decay dynamic functions were simplified and can be easily used in application. Finally, nuclei number of every grade daughters of ~(239)Pu was given and the decay heating power of ~(239)Pu was also calculated.