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为了在源与吸收体之间距离比较远的情况下进行穆斯堡尔实验,需要增强γ射线的强度。在不增加源本身的强立的情况下,使用光管技术是一种有效的手段。光管技术的原理是利用γ射线在光管内壁的全反射。为了求出全反射的临界角,我们对γ射线在物质中的色散关系进行了分析。先是把原子中的电子看成一个个谐振子,本征频率W_i=E_i/h,E_i是电子结合能。在这种近似下求出色散关系后,再考虑到大部分电子结合能远小于γ射线能量,进一步近似,这样求出的临界掠射角θ反比于γ射线能量。为了解释在实验中我们用未经任何加工
In order to conduct Mössbauer experiments with a relatively long distance between the source and the absorber, it is necessary to increase the intensity of gamma rays. Without increasing the strength of the source itself, the use of light pipe technology is an effective means. The principle of light pipe technology is the use of γ-ray total reflection of the inner wall of the light pipe. In order to find the critical angle of total reflection, we analyze the dispersion relationship of γ-ray in the material. At first, the electrons in the atom are regarded as one harmonic oscillator, the eigenfrequency W_i = E_i / h, and E_i is the electron binding energy. After finding the dispersion relation in this approximation, we consider that most of the electron binding energies are much smaller than the γ-ray energies. Further approximation, the critical grazing angle θ thus obtained, is inversely proportional to the γ-ray energy. In order to explain in the experiment we use without any processing