Relating the structure factors of two-dimensional materials in planar and spherical geometries,Soft Matter

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Relating the structure factors of two-dimensional materials in planar and spherical geometries
Soft Matter ( IF 2.9 ) Pub Date : 2018-06-18 00:00:00 , DOI: 10.1039/c8sm00978c
Yongtian Luo _{1,

2,

3,

4} , Lutz Maibaum _{1,

2,

3,

4}

Affiliation

Scattering structure factors provide essential insight into material properties and are routinely obtained in experiments, computer simulations, and theoretical analyses. Different approaches favor different geometries of the material. In case of lipid bilayers, scattering experiments can be performed on spherical vesicles, while simulations and theory often consider planar membrane patches. We derive an approximate relationship between the structure functions of such a material in planar and spherical geometries. We illustrate the usefulness of this relationship in a case study of a Gaussian material that supports both homogeneous and microemulsion phases. Within its range of applicability, this relationship enables a model-free comparison of structure factors of the same material in different geometries.

中文翻译：

关联二维材料在平面和球形几何中的结构因子

散布的结构因素提供了对材料特性的基本了解，通常在实验，计算机模拟和理论分析中获得。不同的方法有利于材料的不同几何形状。在脂质双层的情况下，可以在球形囊泡上进行散射实验，而模拟和理论通常考虑平面膜片。我们推导了这种材料在平面和球形几何结构中的结构函数之间的近似关系。我们在支持均相和微乳液相的高斯材料的案例研究中说明了这种关系的有用性。在适用范围内，这种关系使得可以对不同几何形状的相同材料的结构因子进行无模型比较。

更新日期：2018-06-18

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