arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 1502.01775physics.atom-phphysics.atm-clus
收藏

关于原子系统束缚态能量的插值公式

On the interpolation formula for the bound state energies of atomic systems

Alexei M. Frolov

摘要:

本文利用大量少电子原子总能量的高精度计算结果,构造了几个近似计算束缚态原子总能量的插值公式。在我们的程序中,原子态$E$的总能量被表示为原子核$Q$的电荷和束缚电子总数$N_e$的函数。研究了$E(Q, N_e)$函数的一些一般性质。$E(Q, N_e)$函数的知识允许人们确定具有不同$Q$和$N_e$的任意原子和离子中这些状态的总(和结合)能量。

英文摘要:

By using results of highly accurate computations of the total energies of a large number of few-electron atoms we construct a few interpolation formulas which can be used to approximate the total energies of bound atomic states. In our procedure the total energies of atomic states $E$ are represented as a function of the electric charge of atomic nucleus $Q$ and the total number of bound electrons $N_e$. Some general properties of the $E(Q, N_e)$ function are investigated. The knowledge of the $E(Q, N_e)$ function allows one to determine the total (and binding) energies of these states in arbitrary atoms and ions with different $Q$ and $N_e$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑