Spherical supramolecular dendrimers including helical, self-organize soft Frank–Kasper, other cubic such as body-centered cubic, and quasicrystal periodic and quasiperiodic arrays. When any of these periodic or quasiperiodic arrays forms immediately above a columnar phase, a supramolecular orientational memory effect was found to discriminate between mechanisms of self-organization of supramolecular spheres and generate unprecedented periodic arrays of helical columns which cannot be constructed by any other methodology. Here, we demonstrate that unwinding spherical helices, via their precursor nonhelical columns, increases the entropy and stability of their periodic and quasiperiodic spherical arrays and places the Frank–Kasper and other cubic phases immediately above the columnar phase. This process is not available in biology where spherical viruses self-organize body-centered cubic lattices. However, this concept reengineers, on increasing temperature, the originally expected position of the periodic and quasiperiodic array versus that of the columnar lattice. This process facilitates discrimination between different self-organization mechanisms of supramolecular spheres and also mediates the emergence of unprecedentedly complex and technologically important periodic arrays of nonhelical columns.

中文翻译：

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展开球形螺旋增加了 Frank-Kasper 和体心立方周期数组的熵和稳定性，以促进自组织机制之间的区分


球形超分子树状聚体，包括螺旋、自组织软 Frank-Kasper、其他立方聚体，如体心立方，以及准晶体周期和准周期阵列。当这些周期性或准周期性阵列中的任何一个在柱状相的正上方形成时，发现超分子取向记忆效应可以区分超分子球体的自组织机制，并产生前所未有的螺旋柱周期性阵列，这是任何其他方法都无法构建的。在这里，我们证明了展开的球形螺旋，通过其前驱体非螺旋柱，增加了它们的周期性和准周期性球形阵列的熵和稳定性，并将 Frank-Kasper 和其他立方相置于柱状相的正上方。这个过程在生物学中不可用，因为球形病毒自组织以体为中心的立方晶格。然而，随着温度的升高，这个概念重新设计了周期性阵列和准周期阵列与柱状晶格最初预期的位置。这个过程有助于区分超分子球体的不同自组织机制，并且还介导了前所未有的复杂且技术上重要的非螺旋柱周期性阵列的出现。