由两壁间压力计算平壁上小颗粒数密度分布的理论
A theory for calculating the number density distribution of small particles on a flat wall from pressure between the two walls
摘要：
表面力仪（SFA）和原子力显微镜（AFM）可以测量液体中基底和探针之间的力曲线。然而，由于缺乏这样的转换理论，力曲线没有被转换为物质上的溶剂分子（胶体颗粒）的数密度分布。最近，我们提出并发展了SFA和AFM的变换理论。在这些理论中，力曲线被转换成两个平壁之间的压力。接着，将压力变换为溶剂分子（胶体粒子）的数密度分布。然而，需要溶剂分子（胶体颗粒）和壁面之间的对势作为计算的输入，并且在以前的理论中使用Kirkwood叠加近似。在这封信中，我们提出了一个新的理论，不使用对势和近似。相反，它利用溶剂分子（胶体颗粒）之间的结构因子，可以通过X射线或中子散射获得。
英文摘要：
Surface force apparatus (SFA) and atomic force microscopy (AFM) can measure a force curve between a substrate and a probe in liquid. However, the force curve had not been transformed to the number density distribution of solvent molecules (colloidal particles) on the substance due to the absence of such a transform theory. Recently, we proposed and developed the transform theories for SFA and AFM. In these theories, the force curve is transformed to the pressure between two flat walls. Next, the pressure is transformed to number density distribution of solvent molecules (colloidal particles). However, pair potential between the solvent molecule (colloidal particle) and the wall is needed as the input of the calculation and Kirkwood superposition approximation is used in the previous theories. In this letter, we propose a new theory that does not use both the pair potential and the approximation. Instead, it makes use of a structure factor between solvent molecules (colloidal particles) which can be obtained by X-ray or neutron scattering.
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