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Monte Carlo simulation of dendrimers in variable solvent quality

机译:可变溶剂质量中树枝状聚合物的蒙特卡罗模拟

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We study via lattice Monte Carlo simulation and Flory theory the properties of g=1-6 dendrimers in variable solvent quality.For all the generations studied,we find that the radius of gyration R_g collapses significantly (factor of 2) going from athermal to extreme poor solvent conditions,indicating that varying solvent quality is an effective means of controlling dendrimer size.We also find that in athermal,thetha,and extreme poor solvent conditions,the radius of gyration of dendrimers scales with the total number of monomers roughly as R_g approx N~(1/3).However,a more careful analysis shows that in athermal and thetha solvents,there is,in fact,a small but systematic deviation of R_g from R_g~N~(1/3) scaling and the simulation data is described better by the Flory theory prediction of R_g approx N~(1/5)[(g+1)m]~(2/5) in athermal solvents and _g approx Nl~(1/4)[(g+ 1 )m]~(1/4) in theta solvents.We also find for our simulation data that stronger deviations from constant density scaling are possible,with scaling behavior as shallow as R_g approxy N~(0.26) possible for solvent conditions in between 6 and the completely collapsed state.It is evident therefore that dendrimers do not obey (or even approximately obey) R_g approx N~(1/3) scaling under all solvent conditions.Under all solvent conditions,we find that the intramolecular density is dense corelike (i.e.,the density maximum is in the interior of the dendrimer) and terminal groups are delocalized throughout the dendrimer.
机译:我们通过晶格蒙特卡罗模拟和弗洛里理论研究了可变溶剂质量下g = 1-6树枝状聚合物的性质。对于研究的所有世代,我们发现回转半径R_g从无热到极度崩溃(2倍)。不良的溶剂条件,表明改变溶剂的质量是控制树枝状聚合物尺寸的有效手段。我们还发现,在无热,高温和极端恶劣的溶剂条件下,树枝状聚合物的回转半径与单体总数大致成比例,R_g约为N〜(1/3)。但是,更仔细的分析表明,在无热溶剂和Thatha溶剂中,实际上R_g与R_g〜N〜(1/3)标度和模拟数据之间存在很小但系统的偏差用无热溶剂中R_g约N〜(1/5)[(g + 1)m]〜(2/5)和_g约Nl〜(1/4)[(g + 1)的Flory理论预测可以更好地描述m]〜(1/4)在theta溶剂中。我们的仿真数据还发现,与恒定密度标度相比,偏差更大可能的是,对于介于6和完全折叠状态之间的溶剂条件,结垢行为可能会浅至R_g约N〜(0.26)。因此很明显,树枝状分子不服从(甚至不服从)R_g约N〜(1 / 3)在所有溶剂条件下结垢。在所有溶剂条件下,我们发现分子内密度为致密核样(即,密度最大值位于树枝状聚合物的内部),并且末端基团在整个树枝状聚合物中均离位。

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