(gels). The A
x
+B
y
system results in gel formation if x 2 and y 3, whereas it
is not possible to form a gel via the AB
x
system. Though the polydispersity of
hyperbranched polymers is typically quite large, there is increasing interest for a
number of blends/coatings applications due to the high density of peripheral groups,
and resultant enhanced solubility/surface adhesion, relative to linear analogues. As a
more recent extension, network structures that consist of interwoven hyperbranched
polymers may also be synthesized (Figure 5.26), which have been proven useful for
lithographic applications.
5.2.5. Dendritic Polymers
Thus far, we have only considered step-gr owth polymers obtained through random
condensation reactions of multifunctional monomers. The pioneering work of Nobel
Laureate Flory
[28]
in the 1940s helped the polymer community understand the
kinetics of branched polymer growth, and suggested that control over sequential
step-growth should be possible. However, this was not proven empirically until the
work of V
€
ogtle
[29]
and Tomalia
[30]
in the late 1970s–early 1980s. V
€
ogtle developed
a repeatable “cascade” route to produce low molecular weight amines (Figure 5.27).
However, due to cyclization side reactions, successful polymer growth via the
V
€
ogtle approach was not possible – finally being realized in 1993 for the synthesis
of poly(propyleneimine) (PPI). The work of the Tomalia group at Dow Chemical
was the first to yield a perfectly defined dendritic polymer structure, with an
extremely low polydispersity (ca. PDI of 1.00–1.05; Figure 5.28).
[31]
These poly-
mers were coined starburst dendrimers, referring to the star-branched architecture
and the Greek word “dendra” for tree. Not unlike other major scientific discoveries,
the first report of the dendritic architecture was riddled with skepticism by the
scientific community. Shortly thereafter, Newkome helped silence the critics with
his publication of branched dendrimers that he called an arborol (Figure 5.29).
[32]
To illustrate the novelty of these structures, Table 5. 3 lists the comparative proper-
ties of dendrimers and linear polymers.
The earliest syntheses of dendritic polymers were divergent in nature; with
growth initiating from a core, and outward propagation. The terminal groups of
the core are reacted with complementary groups on the monomer, which forms a
new branching point for subsequent branching reactions (Figure 5.30a). Most
importantly, the terminal functional groups on the monomers are designed to be
reactive with only the outwardly growing polymer, which prevents random hyper-
branched growth. Such a repetitive procedure results in an exponential increase
in reactions that occur on the periphery of the growing polymer, requiring a large
excess of reagents. Though this technique is used for the large-scale synthesis of
many dendrimers (e.g., poly(amidoamine) – PAMAM), a leading drawback is the
relatively high number of defect structures – especially for higher generations
(a term used to describe the sequential branches emanating from the core of the
dendritic structure). With each generation, there is an increased probability for
376 5 Polymeric Materials