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Influence of Modified Terminal Segments on Dynamic Modulus and Viscosity of Dendrimer
Authors:Denis A Markelov  Erkki Lhderanta  Yuli Ya Gotlib
Abstract:Theoretical studies of the influence of modified terminal segments (TSs) on the relaxation spectrum of a dendrimer and dendrimer mechanical properties such as dynamic viscosity, η(ω), the elastic, G′(ω), and loss, G″(ω), moduli have been carried out by the Rouse model. Two major types of modified TS have been studied: (i) TS with an attached rigid massive group (i.e., TSs with additional friction) and (ii) TSs with a length different from the length of an inner segment. In the low‐frequency region, G′(ω), G″(ω), and η(ω) increase with the rise of friction of TS. In the high‐frequency region, dynamic moduli and viscosity depend on the length of TS. In the intermediate region, the moduli and viscosity are determined by a combined parameter: the characteristic time of TS, τend, which depends on the friction and length of TS. For both types of TSs, the position of the G″(ω) maximum, ωmax, depends on τend. In most of the considered cases, the linear dependence of ωmax on τend has been found. The method, which takes into account a deceleration of TS mobility with the rise in the number of generations, n, has been proposed. It was supposed that the effect of the deceleration corresponds to the forming of a dense surface shell with the rise of n, but similar behavior can also be caused by other reasons. In this case, ωmax shifts to the low‐frequency region with an increase in the number of generations. The conclusions of the theory developed in this paper are in agreement with results of the experiment, in which G′(ω) and G″(ω) were obtained for polyamidoamine dendrimers.
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Keywords:dendrimer  dynamic modulus  relaxation spectrum  viscosity
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