在中低密度样品中,γ射线的线衰减系数主要由γ射线能量和样品密度决定,采用MCNP(Monte Carlo N Particle Transport Code)程序模拟计算了多种γ射线能量和多种样品密度条件下的线衰减系数,对线衰减系数模拟值进行多元非线性回归,确定了以Y射线能量和样品密度为因变量的线衰减系数函数及参数。实验测定了三种能量γ射线在6种不同密度样品中的线衰减系数值,并与模拟所得函数值进行比较分析。结果表明,所得函数值与实验值的相对误差均在7%以内,蒙特卡罗程序计算所得函数值与实验测量值较为吻合,所采用的函数模型准确验证了线衰减系数与γ射线能量、样品密度之间的关系特征。
Background: With low and intermediate level density sample, linear attenuation coefficient is mainly determined by gamma ray energy and material density. Purpose: The aim is to determine the relationships and effect of gamma ray energy and material density to linear attenuation coefficient. Methods: This work has constructed different samples with different densities from 0.3 g.cm^-3 to 3.0 g·cm^-3 by using Monte Carlo N Particle Transport Code (MCNP). Linear attenuation coefficients are obtained for gamma ray energies from 100 keV to 1 500 keV. Relationships and effect of gamma ray energy and material density to linear attenuation coefficient are determined by using a function model. Through experimental measurement of 137Cs and 60Co, linear attenuation coefficients are obtained for gamma ray energies 661.661 keV, 1 173.238 keV, 1 332.513 keV in different samples with densities from 1.0 g.cm^-3 to 2.7 g·cm^3. Results: Relative deviations of linear attenuation coefficients between experimental and MCNP simulation results are less than 7%. Conclusion: Simulation results are in good agreement with experimental measurement data. Linear attenuation coefficient function accurately reveals relationships and effect of gamma ray energy and material density to linear attenuation coefficient.