The hypergrafting strategy designates the synthesis of hyperbranched graft copolymers (HGCs) in a grafting-from approach, using AB m monomers, from multifunctional, polydisperse macroinitiator cores by slow monomer addition. Hypergrafting leads to complex polymer topologies with defined molecular weight, degree of branching (DB), and polydispersity (PD). By a generating function formalism, a generally applicable equation for the PD of HGCs (PD = PD f + (m − 1)/ f ̅) is derived, where PD f is the polydispersity of the core and f ̅ its average functionality. In addition, the complete molecular weight distribution function has been calculated for varied m and f ̅ as well as for a given distribution of initiator functionalities f. For comparison of the theoretical predictions with experimental results, a series of novel linear polyglycerol-graf t-hyperbranched polyglycerol (linPG-g-hbPG) HGCs (M n = 1000−4000 g mol −1 ) were synthesized and characterized as a model system. An increase in polydispersity occurred as a consequence of the hypergrafting process, confirming the theoretical predictions of the novel equation. Moreover, the model system allows for the determination of the DB of hbPG prepared by hypergrafting from linear polyglycerol macroinitatiors (DB = 0.59−0.61). The theoretical results presented are key to achieve control over the branch-on-branch topology of hyperbranched blocks in nonconventional polymer architectures, such as linear−hyperbranched block copolymers.
■ INTRODUCTIONOne of the current key challenges in polymer science is the controlled synthesis of multifunctional, complex polymer architectures. 1 Hyperbranched polymers are characterized by a branch-on-branch topology and can usually be synthesized in one reaction step. 2,3 Moreover, they are interesting building blocks for nonconventional copolymer topologies such as block and graft copolymers, which all exhibit properties that differ entirely from their linear counterparts. In this context, the hypergrafting strategy (grafting-f rom), i.e., the synthesis of a hyperbranched block copolymer by using a multifunctional macroinitiator core for the polymerization of AB m monomers, is a useful synthetic method to attain control over the key parameters molecular weight, polydispersity (PD), and degree of branching (DB). 4a Scheme 1 shows different hyperbranched graft copolymer architectures with linear or hyperbranched macroinitiators used for the hypergrafting reaction, exemplified for an AB 2 monomer.Glycidol is an important AB 2 monomer, which can be polymerized in a controlled manner by ring-opening multibranching polymerization (ROMBP) to give hyperbranched polyglycerol (hbPG), 4b,5 which has been used as a building block for several hyperbranched graft copolymers (HGCs).If hyperbranched macroinitiators are employed for hypergrafting, hyperbranched-graf t-hyperbranched copolymers (HHGCs) can be generated, which are potentially interesting as core−shell structures for biomedical transport applications. 6,7 In a work by our group, low molecula...