Toepfer K D, Rosenow U
Br J Radiol. 1980 Nov;53(635):1078-82. doi: 10.1259/0007-1285-53-635-1078.
The diminution of exposure rate from radium gamma radiation by filtration through platinum can be described very accurately by gamma 0/(1 + mu0d) for wall thickness d from 0.2 mm to 4.0 mm (gamma 0 = 6.356 x 10(-5) A m2/kg2 or 8.869 R cm2 h-1 mg-1; mu0 = 1.501 cm-1). This function fits generally accepted data to within experimental error, to an accuracy not achieved by any single exponential factor. The expression is derived theoretically from a simple approximation to the spectral distribution of radium gamma radiation. With this type of transmission function, the expression for the exposure rate around linear radium sources in platinum tubes (generalized Sievert integral) is readily integrated in terms of elementary functions. Used in place of the Sievert integral in calculations of dose distributions, this new fomulation makes possible straightforward numerical evaluation and avoids the storage of tabulated values in computer programmes.
通过铂过滤镭γ辐射时,对于壁厚d从0.2毫米到4.0毫米的情况,其照射率的降低可以用γ0/(1 + μ0d)非常精确地描述(γ0 = 6.356×10⁻⁵ A m²/kg² 或8.869 R cm² h⁻¹ mg⁻¹;μ0 = 1.501 cm⁻¹)。在实验误差范围内,该函数与普遍接受的数据相符,其精度是任何单个指数因子都无法达到的。该表达式是从镭γ辐射光谱分布的一个简单近似理论推导出来的。有了这种类型的传输函数,铂管中线性镭源周围照射率的表达式(广义西沃特积分)就很容易用初等函数进行积分。在剂量分布计算中使用这个新公式代替西沃特积分,可以进行直接的数值计算,并且避免了在计算机程序中存储表格值。