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142 Advances in Polymer Science Editorial Board: A. Abe. A.-C ...

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Dendrimers and Dendrimer-<strong>Polymer</strong> Hybrids 203<br />

butadienes have also been prepared. A branch MW=10,000 is equivalent to<br />

about 200 monomers, 6% of which are converted to branch po<strong>in</strong>ts [91].<br />

The physical properties of these polymeric dendrimers have been studied to<br />

some extent. Intr<strong>in</strong>sic viscosity measurements comb<strong>in</strong>ed with MW afford values<br />

of R h accord<strong>in</strong>g to Eq. (5). Alternatively, the translational diffusion coefficient<br />

leads to R h accord<strong>in</strong>g to Eq. (6). These equations may well be applicable, s<strong>in</strong>ce it<br />

is observed that R h and R h scale with the 1/3 power of MW <strong>in</strong> support of the<br />

equal density hard-sphere assumption [88].<br />

Comparison of R h or R h of two consecutive generations yields an apparent<br />

shell thickness. It is significant that the shell thickness of each generation <strong>in</strong>creases<br />

with <strong>in</strong>creas<strong>in</strong>g generation at constant branch MW (see Table 1). The apparent<br />

thickness of the outer shell is always larger that the unperturbed end-toend<br />

distance of the polymer cha<strong>in</strong>. In some cases the value approaches the dimensions<br />

of the fully stretched cha<strong>in</strong>. This appears to be a good <strong>in</strong>dication that<br />

the addition of a new generation also enlarges the radius of the <strong>in</strong>terior parent<br />

dendritic polymer. A full proof would require measurements of R g on an <strong>in</strong>ner/outer<br />

labeled polymeric dendrimer. Because the branch<strong>in</strong>g process is random,<br />

it is unlikely that the polymeric dendrimers have strongly segregated generational<br />

shells. Increas<strong>in</strong>g crowd<strong>in</strong>g <strong>in</strong> each generation and the result<strong>in</strong>g tendency<br />

of all cha<strong>in</strong>s to stretch should, however, <strong>in</strong>troduce some radial segregation<br />

of the material <strong>in</strong> consecutive shells.<br />

The <strong>in</strong>tr<strong>in</strong>sic viscosities of the dendritic polymers are extremely small compared<br />

with those of l<strong>in</strong>ear polymer of the same MW [86, 91]. Furthermore, the<br />

dendritic polymers expand very little <strong>in</strong> go<strong>in</strong>g from a q solvent to a good solvent<br />

[92]. This is to be expected. When steric congestion forces the polymer cha<strong>in</strong>s to<br />

expand <strong>in</strong> a q solvent, further expansion <strong>in</strong> a good solvent is limited. In this regard<br />

it is important to note that the q condition must be carefully specified. It is<br />

known that branched polymers have different q conditions to the l<strong>in</strong>ear counterpart<br />

[93].<br />

Gauthier and coworkers have expanded the synthesis of dendritic polymers<br />

to dendritic graft copolymers <strong>in</strong> which the <strong>in</strong>ner generations are polystyrene<br />

and the outer generation consists of polyisoprene [94] (Scheme 8b). They have<br />

also prepared amphiphilic graft copolymers <strong>in</strong> which the <strong>in</strong>ner generations are<br />

polystyrene and the polymer cha<strong>in</strong>s <strong>in</strong> the peripheral shell are extended by poly(ethylene<br />

oxide) (PEO) [95] (Scheme 8c). In order to accomplish this, the last<br />

PS generation has been <strong>in</strong>itiated with a lithium compound carry<strong>in</strong>g a protected<br />

hydroxyl group. After deprotection, the hydroxyl group was activated with the<br />

potassium counterion for the polymerization of ethylene oxide. Comparison of<br />

the hydrodynamic radii before and after the extension with PEO <strong>in</strong>dicated a<br />

rather small expansion due to the PEO cha<strong>in</strong>s, <strong>in</strong> spite of possible <strong>in</strong>ternal phase<br />

separation of the PS and PEO units <strong>in</strong> the polymer.<br />

Monolayers of arborescent polystyrenes have been <strong>in</strong>vestigated by scann<strong>in</strong>g<br />

force microscopy [90]. Dense polymers with a small branch spac<strong>in</strong>g (M b~500 D)<br />

are nearly spherical and become more spherical on anneal<strong>in</strong>g, thereby caus<strong>in</strong>g<br />

the break-up of the film. On the other hand less densely branched polymers

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