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Shielding effects in polymer-polymer reactions. II. Reactions between linear and star-branched chains with up to six arms
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10.1063/1.2780167
/content/aip/journal/jcp/127/16/10.1063/1.2780167
http://aip.metastore.ingenta.com/content/aip/journal/jcp/127/16/10.1063/1.2780167

Figures

Image of Scheme 1.
Scheme 1.

Central reaction step of Z-RAFT star polymerization.

Image of FIG. 1.
FIG. 1.

Shielding factors vs the reduced position for the interaction between segments along the arm of stars having (circles), 3 (triangles), 4 (squares), 5 (inverted triangles), and 6 (diamonds) arms and the end of a linear chain for a chain length of .

Image of FIG. 2.
FIG. 2.

Shielding factors vs the reduced position for the interaction between segments along the arm of stars having two and six arms (symbols as in Fig. 1) and the end of the linear chain for chain lengths of (dotted lines), 256 (dashed lines), and 512 (full lines).

Image of FIG. 3.
FIG. 3.

Shielding factors as functions of chain length for (full lines, in case of showing ), (dashed lines), and (dotted lines) for stars with functionalities ranging from to (symbols as in Fig. 1).

Image of FIG. 4.
FIG. 4.

Log-log plot of shielding factors vs chain length . Symbols and lines as in Fig. 3.

Image of FIG. 5.
FIG. 5.

Prefactors (upper plot) and exponents (lower plot) of the power (scaling) law vs reduced position for the interaction between the end of the linear chain and the segments of the star-branched molecule (, symbols see Fig. 1) reading , , , , , , , , , , , , and . The inset is a closeup of the central region.

Image of FIG. 6.
FIG. 6.

Pair distribution function (upper plot) and pair distribution function (lower plot) for different functionalities of , for a chain length of . Symbols are as in Fig. 1; for clarity, only every second data point is shown.

Image of FIG. 7.
FIG. 7.

Squared radii of gyration (left), asphericity parameters (middle), and prolateness factors (right) of the star-shaped molecules (upper row) and of the corresponding linear chains (lower row) vs the separation distance between the centers of gravity of the linear chain and of the star for functionalities ranging from to 6 (symbols as in Fig. 1). All values are given in multiples of the ensemble averages reading 665, 822, 921, 995, and 1054 for , 0.433, 0.307, 0.227, 0.177, and 0.434 for , and 0.544, 0.266, 0.143, 0.085, and 0.055 for for the star-branched polymers with , 3, 4, 5 and 6 arms, as well as 292, 0.434, and 0.546 for , , and for the linear chain .

Image of FIG. 8.
FIG. 8.

Squared radii of gyration , asphericity parameters , and prolateness factors , in multiples of their ensemble averages for the star branched (upper row) and the corresponding linear chains (lower row) vs the separation distance between the center of the star and the end segment of the linear chain. Properties and symbols are as in Fig. 7. Contrary to Figs. 1–7, in certain cases error bars exceed the symbol size and are accordingly shown.

Tables

Generic image for table
Table I.

Parameters of the power (scaling) law for shielding factors for functionality ranging from to 6.

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/content/aip/journal/jcp/127/16/10.1063/1.2780167
2007-10-29
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Shielding effects in polymer-polymer reactions. II. Reactions between linear and star-branched chains with up to six arms
http://aip.metastore.ingenta.com/content/aip/journal/jcp/127/16/10.1063/1.2780167
10.1063/1.2780167
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