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对带有明确抗衡离子和盐离子的带电树枝状大分子进行蒙特卡罗模拟。

Monte Carlo simulations of a charged dendrimer with explicit counterions and salt ions.

作者信息

Majtyka M, Kłos J

机构信息

Max-Planck-Institute for Polymer Research, Postfach 3148, 55021 Mainz, Germany.

出版信息

Phys Chem Chem Phys. 2007 Jun 14;9(18):2284-92. doi: 10.1039/b616575c. Epub 2007 Mar 12.

Abstract

Static properties of a dendrimer with generation g = 5 with positively charged terminal groups in an athermal solvent are studied by lattice Monte Carlo simulations using the cooperative motion algorithm as the tossing scheme. The calculations are performed both for a salt-free system with neutralizing counterions and for a small amount of added monovalent and divalent salt. The full Coulomb potential and the excluded volume interactions between ions and beads are taken explicitly into account with the reduced temperature tau, the number of salt cations (anions) n(s), and salt valence z(s) as the simulation parameters. The bahaviour of the systems is analyzed by the mean effective charge per end-bead , Coulomb mean energy , mean-square radius of gyration <R(g)(2)>, pair correlation functions g(alphabeta), and charge density rho(ch). The simulations show that for n(s)> or = 0 and decreasing tau: (a) there is encapsulation in the dendrimer and condensation onto the terminal groups of anions accompanied by a monotonic decrease in and and by subsequent swelling and shrinking of the molecule; (b) encapsulation, condensation and shrinking are the most significant and swelling weaker for |z(s)| = 2; (c) penetration of salt cations into the dendrimer is minor when compared to that of anions; (d) rho(ch) is reduced and becomes negative close to the center of mass of the dendrimer and on its periphery; (e) for the considered n(s) > 0, unlike divalent salt ions the monovalent ones cause slight effects when compared to the salt-free case.

摘要

采用协同运动算法作为抛投方案,通过晶格蒙特卡罗模拟研究了在无热溶剂中具有第(g = 5)代且带正电端基的树枝状聚合物的静态性质。计算针对具有中和抗衡离子的无盐体系以及添加少量单价和二价盐的体系进行。离子与珠子之间的完整库仑势和排除体积相互作用被明确考虑在内,以约化温度(\tau)、盐阳离子(阴离子)数量(n(s))和盐价(z(s))作为模拟参数。通过每个端珠的平均有效电荷(\langle Q\rangle)、库仑平均能量(\langle E\rangle)、均方回转半径(\langle R_g^2\rangle)、对关联函数(g(\alpha\beta))和电荷密度(\rho_{ch})来分析体系的行为。模拟结果表明,对于(n(s)\geq0)且(\tau)减小的情况:(a) 树枝状聚合物中存在包封现象,阴离子凝聚在端基上,同时(\langle Q\rangle)和(\langle E\rangle)单调下降,随后分子发生膨胀和收缩;(b) 对于(\vert z(s)\vert = 2),包封、凝聚和收缩最为显著,膨胀较弱;(c) 与阴离子相比,盐阳离子进入树枝状聚合物的程度较小;(d) (\rho_{ch})降低,并在靠近树枝状聚合物质心及其周边处变为负值;(e) 对于所考虑的(n(s)>0),与二价盐离子不同。与无盐情况相比,单价盐离子产生的影响较小。

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