中文摘要：

应用传统的最小二乘法和作者基于微扰理论建立的代数方法（AM），本文研究并比较了双原子分子NaK的部分电子态的振动能谱和离解能．从而得出了这两种方法所得不同结果的主要原因，并建议了对于需要从实验物理数据中提取正确物理量的数学工作．人们不仅要使用恰当的数学方法，同时也应使用那些能从实验数据中挑选出包含完整物理信息的一组最佳实验数据的物理判捂，从而由挑选出的这组最佳实验数据获得描述这些数据所代表的真实物理规律或物理信息的正确物理表象．

英文摘要：

Full vibrational energy spectra { Ev } and molecular dissociation energies De are studied using conventional least-squares （LS） fitting and an algebraic method （AM） proposed for some diatomic electronic states of NaK molecules. The main source of the different results between the two method are proposed. And it is suggestsed that, for the mathematical work which need to extract correct physical quantities from experimental data, it is important not only to apply a proper mathematical tool, but also to use oorreet physical criteria which may measure the physical properties of the data. Thus one may obtain accurate physics representation of describing true physical law or physical information of these data.