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Influence of molecular topology on the static and dynamic properties of single polymer chain in solution
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10.1063/1.2750338
/content/aip/journal/jcp/127/4/10.1063/1.2750338
http://aip.metastore.ingenta.com/content/aip/journal/jcp/127/4/10.1063/1.2750338

Figures

Image of FIG. 1.
FIG. 1.

Plot for (a) the radius of gyration , (b) the hydrodynamic radius for the ring-shaped chain (circle), the three-arm branched chain (triangle), and linear polymer chain (diamond), and (c) the ratios of of ring or three-arm branched polymer to that of linear counterpart vs the degree of polymerization .

Image of FIG. 2.
FIG. 2.

The static scaling relationships for the polymer chain in solution. The radii of the polymer chain are plotted as functions of for (a) the ring-shaped chain, (b) the three-arm branched chain, and (c) the linear chain.

Image of FIG. 3.
FIG. 3.

The static structure factor as a function of wave number weighted radius of gyration . (a) is for ring-shaped chain, (b) for three-arm branched chain, and (c) for linear chain. Different symbols represent polymer chains with different .

Image of FIG. 4.
FIG. 4.

(a) The diffusion coefficient and (b) the relaxation time of the ring-shaped chain (circle), the three-arm branched chain (triangle), and the linear chain (diamond).

Image of FIG. 5.
FIG. 5.

Diffusion coefficients for the ring-shaped chain (up), the three-arm branched chain (middle), and the linear polymer chain (bottom).

Image of FIG. 6.
FIG. 6.

Relaxation times for the ring-shaped chain (up), the three-arm branched chain (middle), and the linear polymer chain (bottom).

Image of FIG. 7.
FIG. 7.

The dynamic structure factor weighted by as a function of time weighted by for the ring-shaped, the three-arm branched, and the linear chains with .

Tables

Generic image for table
Table I.

The static and dynamic properties of ring-shaped, three-arm branched, and linear polymer chains in solution. , , , and are the degree of polymerization, the radius of gyration, the hydrodynamic radius, and the center of mass diffusion coefficient of the polymer chain, respectively. is the relaxation time for the chain diffusing its own size. is the end-to-end distance for the linear polymer chain. is the mean radius of the ring polymer chain. is the length of one side of the cubic box.

Generic image for table
Table II.

The conformation of the ring-shaped, the three-arm branched, and the linear polymer chains in solution. Here , , and represent the largest, the middle, and the smallest components of along the , , and axes, respectively.

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/content/aip/journal/jcp/127/4/10.1063/1.2750338
2007-07-25
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Influence of molecular topology on the static and dynamic properties of single polymer chain in solution
http://aip.metastore.ingenta.com/content/aip/journal/jcp/127/4/10.1063/1.2750338
10.1063/1.2750338
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