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Issue 27, 2018
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Relating the structure factors of two-dimensional materials in planar and spherical geometries

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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

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Publication details

The article was received on 12 May 2018, accepted on 15 Jun 2018 and first published on 18 Jun 2018


Article type: Paper
DOI: 10.1039/C8SM00978C
Citation: Soft Matter, 2018,14, 5686-5692
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    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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