Molar concentration of gold nanoparticles is one of the most critical parameters of gold colloids in order to develop their applications in sensing, diagnostics and nanomedicine. Previous methods often stand just for ...Molar concentration of gold nanoparticles is one of the most critical parameters of gold colloids in order to develop their applications in sensing, diagnostics and nanomedicine. Previous methods often stand just for gold nanoparticles with regular shape and narrow size distribution. In the present work, we proposed an absolute quantification method that determined the molar concentration of gold nanoparticles with arbitrary shapes and polydisperse sizes. This approach involved the real time monitoring and counting of individual nanoparticles collision events, from which the quantification of molar concentration was achieved using a theoretical model consisting of Fiek＇s laws of diffusion and Stokes-Einstein equation. The determination of spherical gold nanoparticles concentration resulted in excellent agreement with traditional spectrometry method. It was further demonstrated that the present approach can be expanded to determine the molar concentration of gold nanoparticles with arbitrary shapes and poly-diversed distributions.展开更多
研究了一般大型Stein矩阵方程的全局Krylov子空间算法.基于全局Hessenberg过程,提出了位移型全局Hess方法(shifted global Hessenberg method)和位移型全局CMRH方法(shifted global CMRH method),并给出了残差估计.数值实验表明了新方...研究了一般大型Stein矩阵方程的全局Krylov子空间算法.基于全局Hessenberg过程,提出了位移型全局Hess方法(shifted global Hessenberg method)和位移型全局CMRH方法(shifted global CMRH method),并给出了残差估计.数值实验表明了新方法相对于位移型全局Arnoldi型方法而言,在CPU时间和迭代步数上占有一定的优势.展开更多
基金supported by the National Natural Science Foundation of China(21405080)the Natural Science Foundation of Jiangsu Province(BK20150013,BK20140592)
文摘Molar concentration of gold nanoparticles is one of the most critical parameters of gold colloids in order to develop their applications in sensing, diagnostics and nanomedicine. Previous methods often stand just for gold nanoparticles with regular shape and narrow size distribution. In the present work, we proposed an absolute quantification method that determined the molar concentration of gold nanoparticles with arbitrary shapes and polydisperse sizes. This approach involved the real time monitoring and counting of individual nanoparticles collision events, from which the quantification of molar concentration was achieved using a theoretical model consisting of Fiek＇s laws of diffusion and Stokes-Einstein equation. The determination of spherical gold nanoparticles concentration resulted in excellent agreement with traditional spectrometry method. It was further demonstrated that the present approach can be expanded to determine the molar concentration of gold nanoparticles with arbitrary shapes and poly-diversed distributions.
文摘研究了一般大型Stein矩阵方程的全局Krylov子空间算法.基于全局Hessenberg过程,提出了位移型全局Hess方法(shifted global Hessenberg method)和位移型全局CMRH方法(shifted global CMRH method),并给出了残差估计.数值实验表明了新方法相对于位移型全局Arnoldi型方法而言,在CPU时间和迭代步数上占有一定的优势.
