Hydrodynamic Properties of Flexible‐Ring Macromolecules
Hydrodynamic Properties of Flexible‐Ring Macromolecules
复制标题
柔性环高分子的流体动力学性质
DOI：
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发表时间：
1966
期刊：
影响因子：
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通讯作者：
M. Kurata
中科院分区：
文献类型：
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作者：
Masaaki Fukatsu;M. Kurata
用柯克伍德方法计算了一系列多环大分子的沉降常数。多重环形式由m个大小相等的子环通过万向接头线性连接而成。在大的链段间流体动力学相互作用的极限下，多环分子与相同分子量的直链分子的沉降常数之比为1.18（m=1）、1.32（m=2）、1.40（m=3）、···和2.00（极大的m）。发现这些值实际上与排除体积效应无关。单环高分子的特性粘度也通过Zimm方法计算。Zimm理论中遇到的本征值问题可以在流体动力相互作用参数h=0到∞的整个范围内精确求解。环状分子和线性分子的特性粘度之比在h=0时为0.500（自由排水情况），在h= ∞时为0.645（非自由排水情况）。后一个值是略有修改，如果水力…
The sedimentation constant of a series of multiple‐ring macromolecules has been calculated by the method of Kirkwood. The multiple‐ring form consists of m subrings of equal size linearly connected by universal joints. In the limit of large intersegmental hydrodynamic interaction, the ratio of the sedimentation constant of a multiple‐ring molecule to that of a linear chain of the same molecular weight is 1.18 for m=1, 1.32 for m=2, 1.40 for m=3, ··· and 2.00 for extremely large m. These values are found to be practically independent of the excluded volume effect.The intrinsic viscosity of a single‐ring macromolecule has also been calculated by the method of Zimm. The eigenvalue problem encountered in the Zimm theory can be solved exactly over the whole range of the hydrodynamic interaction parameter, h=0 to ∞. The ratio of intrinsic viscosities of ring and linear molecules is 0.500 for h=0 (free‐draining case) and 0.645 for h= ∞ (non free‐draining case). The latter value is slightly modified if the hydrody...