用实验数据的数学处理方法得到巴尔末公式

Balmer formula derived from processing experiment data

对于氢原子谱线 (可见区 )的波长数据 ,能否用实验数据处理方法 ,合乎逻辑地导出巴尔末公式 ,本文给予肯定 .把波长与序数关联起来 ,并用多项式表示 ,则有 4个待定常量 .用序数的正整数条件及曲线拟合及最小二乘法来确定它们 ,可得到巴尔末公式 ,其相关系数为

For the wavelength data of hydrogen spectra line(visible range), whether we can use the modern methods of handling data to derive the Balmer formula and to be in accord with logic, the answer is affirmative. When the wavelength data relate with the ordinal number, in general, we use a multinomial to express them. There are four constants should be defined in the multinomial. The four constants can be determined and the Balmer formula can be fitted in the positive number of the ordinal number and curve fitting. Correspondingly,the correlative coefficient is 1. Thus, the Balmer formula has been proved.