Department of Mechanical, Aerospace & Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, New York 12180, USA.
J Chem Phys. 2011 Mar 7;134(9):094504. doi: 10.1063/1.3559451.
Spin-echo small angle neutron scattering (SESANS) provides a new experimental tool for structural investigation. Due to the action of spin-echo encoding, SESANS measures a spatial correlation function in real space, as opposed to the structure factor S(Q), I(Q), in momentum (Q) space measured by conventional small angle neutron scattering. To establish the usefulness of SESANS in structural characterization, particularly for interacting colloidal suspensions, we have previously conducted a theoretical study of the SESANS correlation functions for model systems consisting of particles with uniform density profiles [X. Li, C.-Y. Shew, Y. Liu, R. Pynn, E. Liu, K. W. Herwig, G. S. Smith, J. L. Robertson, and W.-R. Chen J. Chem. Phys. 132, 174509 (2010)]. Within the same framework, we explore in the present paper the prospect of using SESANS to investigate the structural characteristics of colloidal systems consisting of particles with nonuniform intraparticle mass distribution. As an example, a Gaussian model of interacting soft colloids is used to investigate the manifestation of structural softness in a SESANS measurement. The exploration shows a characteristically different SESANS correlation function for interacting soft colloids, in comparison to that of a uniform hard sphere system. The difference arises from the Abel transform imbedded in the mathematical formalism bridging the SESANS spectra and the spatial autocorrelation function.
自旋回波小角中子散射 (SESANS) 为结构研究提供了一种新的实验工具。由于自旋回波编码的作用,SESANS 在实空间中测量空间相关函数,而不是传统小角中子散射在动量 (Q) 空间中测量的结构因子 S(Q)、I(Q)。为了确立 SESANS 在结构表征中的有用性,特别是对于相互作用的胶体悬浮液,我们之前对由具有均匀密度分布的粒子组成的模型系统的 SESANS 相关函数进行了理论研究[X. Li、C.-Y. Shew、Y. Liu、R. Pynn、E. Liu、K. W. Herwig、G. S. Smith、J. L. Robertson 和 W.-R. Chen J. Chem. Phys. 132, 174509 (2010)]。在相同的框架内,本文探讨了使用 SESANS 研究由具有非均匀颗粒内部分布质量的粒子组成的胶体系统结构特征的前景。作为一个例子,使用相互作用的软胶体的高斯模型来研究 SESANS 测量中结构柔软度的表现。与均匀硬球系统相比,探索显示出相互作用的软胶体 SESANS 相关函数的特征性差异。这种差异源于 SESANS 谱与空间自相关函数之间的数学形式中嵌入的 Abel 变换。