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Twisting of Charged Nanoribbons to Helicoids Driven by Electrostatics

机译:用静电驱动的带电纳米杆扭曲到螺旋

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摘要

Charged amphiphiles in solution usually self-assemble into flat nanoribbons that spontaneously twist into different shapes. The role of electrostatics in this process is still under strong debate. This work studies the electrostatic free energy of twisting a nanoribbon at the level of the nonlinear Poisson-Boltzmann approximation. It is shown that helicoid-shaped ribbons are more stable than flat ribbons, while other shapes under consideration (cylindrical helixes and bent ribbons) are always less stable than the flat ribbon. The unexpected electrostatics-driven twisting of the ribbon into a helicoid is ascribed to the increase in its perimeter with increasing degree of twisting, as charges near the edge of the ribbon are electrostatically more stable than those near its center. This argument successfully explains the effects of salt concentration and the width of the ribbon on the optimal twisting period and allows us to approximately describe the problem of ribbon twisting in terms of two dimensionless variables that combine the helicoid twisting period, the Debye length of the solution, and the width of the ribbon. The magnitude of the electrostatic twisting energy predicted by our calculations is comparable to that of restoring elastic forces for typical ribbons of self-assembled amphiphiles, which indicates that electrostatics plays an important role in determining the equilibrium shape of charged nanoribbons.
机译:溶液中的带电的两亲自自动组装成平坦的纳米波纹,自发地扭成不同的形状。静电在这个过程中的作用仍处于强烈辩论。这项工作研究了在非线性Poisson-Boltzmann近似水平的沿纳米臂扭动的静电能量。结果表明,螺旋形带比平坦的丝带更稳定,而所考虑的其他形状(圆柱形螺旋和弯曲带)总是比平条带稳定。带状的意外静电驱动扭转旋转到螺旋中,随着扭曲程度的增加而均匀地归因于其周边的增加,因为带的边缘附近的电荷比其中心附近的稳定性更稳定。该论点成功地解释了盐浓度和色带宽度对最佳扭转时段的影响,并允许我们在结合螺旋扭转周期的两种无量纲变量方面大致描述色带扭曲的问题,该旋转周期的德细长度和带的宽度。通过我们的计算预测的静电扭转能量的大小可以与恢复自组装两亲的典型带的恢复弹性的幅度相当,这表明静电方法在确定带电纳米波巴的平衡形状方面发挥着重要作用。

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