Department of Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, PA 19104.
Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, PA 19104.
Proc Natl Acad Sci U S A. 2020 Jun 9;117(23):12700-12706. doi: 10.1073/pnas.1921805117. Epub 2020 May 22.
Displacive transformations in colloidal crystals may offer a pathway for increasing the diversity of accessible configurations without the need to engineer particle shape or interaction complexity. To date, binary crystals composed of spherically symmetric particles at specific size ratios have been formed that exhibit floppiness and facile routes for transformation into more rigid structures that are otherwise not accessible by direct nucleation and growth. There is evidence that such transformations, at least at the micrometer scale, are kinetically influenced by concomitant solvent motion that effectively induces hydrodynamic correlations between particles. Here, we study quantitatively the impact of such interactions on the transformation of binary bcc-CsCl analog crystals into close-packed configurations. We first employ principal-component analysis to stratify the explorations of a bcc-CsCl crystallite into orthogonal directions according to displacement. We then compute diffusion coefficients along the different directions using several dynamical models and find that hydrodynamic correlations, depending on their range, can either enhance or dampen collective particle motions. These two distinct effects work synergistically to bias crystallite deformations toward a subset of the available outcomes.
胶体晶体中的位移转变可能提供了一种增加可及配置多样性的途径,而无需设计粒子形状或相互作用复杂性。迄今为止,已经形成了由特定大小比的球形对称粒子组成的二元晶体,这些晶体表现出柔软性,并且易于转变为更刚性的结构,否则通过直接成核和生长是无法获得这些结构的。有证据表明,这种转变(至少在微米尺度上)受到伴随溶剂运动的动力学影响,溶剂运动有效地诱导了粒子之间的流体动力学相关性。在这里,我们定量研究了这种相互作用对二元 bcc-CsCl 类似晶体转变为密堆积结构的影响。我们首先采用主成分分析(PCA)根据位移将 bcc-CsCl 晶块的探索分层到正交方向。然后,我们使用几种动力学模型沿不同方向计算扩散系数,发现取决于其范围的流体动力学相关性可以增强或抑制集体粒子运动。这两种截然不同的效应协同作用,使晶块变形偏向于可用结果的子集。