In this paper, we propose new approach to accurate calculation of the molar attenuation coefficient ε and the threshold concentration C_∇$C_{\mathrm{\nabla }}$, exceeding of which it results in a deviation from Beer's law. The method is based on the asymptotic approximation of the equality of integrals associated with the true values of C_∇$C_{\mathrm{\nabla }}$ and ε$\epsilon$ as well as their approximate values C_i$C_i$ and ε_i${\epsilon }_i$ within max.rapprochement:ΔC=min{C_i-C_∇}$\mathrm{\Delta }C=\mathit{min}\left\{C_i-C_{\mathrm{\nabla }}\right\}$ and Δε=min{ε-ε_i}$\mathrm{\Delta }\epsilon =\mathit{min}\left\{\epsilon -{\epsilon }_i\right\}$ when C_i→C_∇$C_i\to C_{\mathrm{\nabla }}$ and ε_i→ε${\epsilon }_i\to \epsilon$. After reaching the acceptable accuracy, the infinite iterative cycle is interrupted that allows to significantly saving the computing resources.

在本文中，我们提出了新的方法来摩尔衰减系数的精确计算ε和所述阈值浓度Ç _∇$C_{\mathrm{\nabla }}$，超过此值将导致偏离比尔定律。该方法是基于与真实值相关积分的平等的渐近近似Ç _∇$C_{\mathrm{\nabla }}$和ε$\epsilon$以及它们的近似值C _i$C_{\mathrm{一世}}$和ε_我${\epsilon }_{\mathrm{一世}}$max.rapprochement内：ΔC=分钟{C_我-C _∇ }$\mathrm{\Delta }C=\mathit{分}\left\{C_{\mathrm{一世}}--C_{\mathrm{\nabla }}\right\}$和Δε=分钟{ε-ε_我}$\mathrm{\Delta }\epsilon =\mathit{分}\left\{\epsilon --{\epsilon }_{\mathrm{一世}}\right\}$当C _i → _C∇$C_{\mathrm{一世}}\to C_{\mathrm{\nabla }}$和ε_我→ε${\epsilon }_{\mathrm{一世}}\to \epsilon$。在达到可接受的精度后，无限迭代周期将被中断，从而大大节省了计算资源。