氢原子光谱实验中里德堡常数的估计方法探讨

A DISCUSSION ABOUT THE ESTIMATION OF RYDBERG CONSTANT IN THE HYDROGEN ATOM SPECTRUM EXPERIMENT

考察了氢原子光谱实验中估计里德堡常数的三种可能方法。我们的分析表明:由于标准差较大,且标准差不会随测量的谱线数趋于无穷而趋于零,采用所谓的斜率估计法是不太妥当的。虽然采用所谓截距估计法会使标准差大大减少,而且,标准差会随所测量的谱线数趋于无穷而趋于零。但RH的最佳估计值应该以波数为纵坐标y,(1/2~2-1/m^2)为横坐标x,作y=kx形式的拟合得到。

Three possible methods to estimate the Rydberg Constant in the Hydrogen Atom Spectrum Experiment were discussed. Our analysis revealed that＇ the slope estimation＇ was not valid for its relatively larger standard deviation（SD） and the SD would not get close to zero as the number of spectral lines increases. While＇ the intercept estimation＇ would decrease the SD Significantly and the SD could approach zero as the number of spectral lines approaches to infinite, the best method to estimate RH in the experiment should be to make a y= RHx fitting,with wave number as the y - axis, （1/2^2 - 1/m^2）as the x- axis.