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Relaxation of Copolymeric Dendrimers Built from Alternating Monomers
Author(s) -
Satmarel Cristian,
Gurtovenko Andrey A.,
Blumen Alexander
Publication year - 2004
Publication title -
macromolecular theory and simulations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.37
H-Index - 56
eISSN - 1521-3919
pISSN - 1022-1344
DOI - 10.1002/mats.200400020
Subject(s) - dendrimer , monomer , relaxation (psychology) , copolymer , materials science , moduli , macromolecule , plateau (mathematics) , gaussian , polymer , chemical physics , polymer chemistry , chemistry , physics , mathematics , computational chemistry , composite material , mathematical analysis , psychology , quantum mechanics , social psychology , biochemistry
Summary: In this study we extend our previous work concerning the Rouse dynamics of linear alternating copolymers ( Macromolecules 2003 , 36 , 486) to tree‐like structures and focus on copolymeric dendrimers built from monomers of two kinds A and B ; as before, we let the monomers differ in their interaction with the solvent. In the framework of generalized Gaussian structures (GGS), we consider alternating arrangements of monomers over the dendritic structures. We develop a semi‐analytical method to determine for such structures (of arbitrary functionality, f , and number of generations, g ), the eigenfrequencies (relaxation times). The method allows us to compute readily the storage, [ G ′( ω )] and the loss, [ G ″( ω )] moduli. These quantities show a multitude of features which mainly depend on the difference in the mobilities, or, equivalently, in the friction coefficients ζ A and ζ B of the A ‐ and B ‐beads. These features range from the presence of large plateau‐type regions in [ G ′( ω )] to the appearance of double‐peaks in [ G ″( ω )]. In contrast to linear alternating copolymers, the behavior of the dynamic moduli of copolymeric systems with dendritic topology can shed light into their composition, i.e. into the relative numbers of A ‐ and B ‐beads. We discuss these aspects in view of their experimental relevance.A system under study: a dendrimer of third generation ( g = 3) with functionality f = 3, composed of alternating beads.