基于Bohr-Sommerfeld量子理论的X射线光谱分析

Spectrum analysis of X-ray based on Bohr-Sommerfeld quantum theory

基于Bohr-Sommerfeld量子理论,研究了特征X射线的产生机理,导出了一个按原子序数来计算特征X射线波长的公式.同时对计算推导的波长值做了系统的误差分析,得到了相对误差的规律.结果表明,计算推导的波长值与实验得到的波长值非常接近,并且在实际应用中该公式也更为简便.

Based on Bohr-Sommerfeld quantum theory, the formation mechanism of characteristic X-ray has been studied. A formula of the X-ray wavelength based upon the calculation of atomic number is derived. Error analysis is carried out systematically for the calculated values of wavelength, and the rules of relative error are obtained. It is shown that the results of the calculation are very close to the experimental values. The formula is relatively simple in application.