光电效应测普朗克常数新数据处理方法

A NEW DATA PROCESSING METHOD OF PLANCK CONSTANT MEASUREMENT THROUGH PHOTOELECTRIC EFFECT

针对光电效应测普朗克常数实验的数据处理,作者在总结了现有方法的基础上提出了一种新的方法:分段曲线拟合交点法.对测量的数据分为两段拟合,将截止电压左边近似拟合为一次函数:I=a0+a1U,截止电压右边近似拟合为指数函数和一次函数之和的形式:I=b0+b1U+b2eb3U+b4,用SPSS和Matlab软件对测量的数据进行处理,拟合得到两个函数,利用这两个函数求出分段曲线的交点,即为截止电压,再求得普朗克常数.并将该方法得到的结果与其他方法做了对比,表明分段曲线拟合交点法有明显优点.

For experimental data processing of Planck constant through photoelectric effect, authors propose a new approach： curve-fitting method of crossing point. The measurement da- ta is divided into two segments. The left part of the cut-off voltage is approximately fitted as a function. I=a0 ＋a1U. The right part of the cut-off voltage is approximately fitted as the sum of exponential function and linear function： I=b0 ＋b1U＋b2 eb3U＋b4. Based on the data processingwith SPSS and Matlab software, two functions can be fitted, and the crossing point of the two curves is just about the cut-off voltage. Then the Planek constant can be obtained. Comparing the magnitude of errors of this method with other methods, the advantage of this curve-fitting method of crossing point is obvious.