Issue 27, 2018

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

Abstract

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.

Graphical abstract: Relating the structure factors of two-dimensional materials in planar and spherical geometries

Article information

Article type
Paper
Submitted
12 May 2018
Accepted
15 Jun 2018
First published
18 Jun 2018

Soft Matter, 2018,14, 5686-5692

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

Y. Luo and L. Maibaum, Soft Matter, 2018, 14, 5686 DOI: 10.1039/C8SM00978C

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