根据布拉格衍射定律和晶层模型,推导了透射式柱面弯晶谱仪的三维衍射光路的理论公式,并利用该理论研究了谱仪测量光谱的能量刻度问题。在考虑了实验中谱仪与光源的准直度和记录介质放置姿态带来的误差后,发现利用多种滤片的K吸收边进行公式拟合得到弯晶谱仪能量刻度曲线的方法对低能X射线谱线的误差较大,进而提出了用单滤片通过理论公式模拟计算进行谱仪能量刻度的方法。通过对透射式柱面弯晶谱仪测量到的Ag靶X光机的实验光谱进行能量刻度,实现了用单滤片在线定标弯晶谱仪,验证了理论公式和能量刻度方法的正确性。

Theoretical calculation of X-ray three-dimensional diffraction optical path was presented for hard X-ray transmission curved crystal spectrometer. One application of this theory was to study the energy calibration, which was achieved traditionally by fitting the K absorption edges of filters or the characteristic peaks of experimental spectra. Obvious error was found in the low energy region of the calibrated spectrum, by taking into account the misalignment of spectrometer or the assembled error of detector. In order to avoid the calibration error and calibrate the spectrometer only by one filter, a new method for energy calibration was presented and verified by experimental measurement of an Ag anode X-ray source.