Theoretically, 27 types of Frank–Kasper (FK) phases could be constructed with three cornerstones, the FK A15, C15, and Z phases. They are all spherical packing phases composed of spherical motifs. In single-component soft matter, the experimental observation(s) of the A15 phase is common while C15 and Z phases are rare. Recently, a serendipitous observation of an FK Z phase with significant volume asymmetry of the constructing spherical motifs from a giant shape amphiphile assembly has been reported. In single-component soft matter, it is anticipated that the significant volume asymmetry of spherical motifs consisting of μ and μ ± 1 molecules could be readily reached when the μ is small. Herein, we present a design strategy to precisely control the number of molecules inside a spherical motif by geometrical tuning of the molecular building blocks, thus leading to the formation of the FK Z phase in a rational manner.

中文翻译：

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通向 Frank-Kasper Z 相的合理路线：精确几何调谐对巨型两亲分子超分子组装的影响

理论上，可以用三个基石 FK A15、C15 和 Z 相构建 27 种类型的 Frank-Kasper (FK) 相。它们都是由球形图案组成的球形堆积相。在单组分软物质中，A15 相的实验观察很常见，而 C15 和 Z 相的实验观察很少。最近，已经报道了一个偶然观察到的 FK Z 相，该相具有显着的体积不对称性，从一个巨大的两亲组装体构建球形图案。在单组分软物质中，预计当 μ 较小时，可以很容易地达到由 μ 和 μ ± 1 分子组成的球形基序的显着体积不对称性。在这里，我们提出了一种设计策略，通过分子构建块的几何调整来精确控制球形基序内的分子数量，