Citation: Fu Chao, Yang Yingzi, Qiu Feng. Self-Consistent Field Theory of Dendritic Homopolymers in θ Solvent[J]. Acta Chimica Sinica, ;2019, 77(1): 95-102. doi: 10.6023/A18080351 shu

Self-Consistent Field Theory of Dendritic Homopolymers in θ Solvent

Department of Macromolecular Science, State Key Laboratory of Molecular Engineering of Polymers, Fudan University, Shanghai 200433

Corresponding author: Yang Yingzi, yang_yingzi@fudan.edu.cn
Received Date: 27 August 2018
Available Online: 8 January 2018
Fund Project: the National Natural Science Foundation of China 21320102005Ministry of Science and Technology of the People's Republic of China 2016YFA0203301the National Natural Science Foundation of China 21774026Project supported by the National Natural Science Foundation of China (Nos. 21320102005, 21774026) and Ministry of Science and Technology of the People's Republic of China (2016YFA0203301)

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The dendrimers are a unique class of branched macromolecules with defined architectures synthesized by iterative reaction steps. Because of their highly branched structures, the dendrimers have a wide potential application in many fields, including sensing, drug delivery, catalysis, etc. In order to understand the thermal equilibrium behavior of the dendritic homopolymers in solution, we derived the self-consistent field theory (SCFT) for the dilute dendrimer solutions. The center segment is anchored on the origin of the space, and the shape of the dendrimer is assumed to be spherically symmetric. The pre-averaged interaction parameter u is employed to represent the volume exclusion interaction between the segments. We only focus on the dendrimer immersed in the θ solvent, where the volume exclusion interaction between the segments is negligible (u=0). The number density of the segments, φ(r), is calculated via systematically changing the topological parameters of the molecule, including the functionality f₀ of the central segment, the functionality f of the branching points, the degree of polymerization of the spacers P, and the total generation number G. With all parameter combinations, φ(r) was found always maximized at the center and monotonically decreasing along the radial direction. Thus, the dendrimers in θ solvent obeys the "dense-core" model instead of the "dense-shell" model. Increasing f₀, f and G results in the increase of φ(r) with any radius r. However, increasing P causes the decrease of φ(r) near the center region and the increase of φ(r) with larger r. The size of the dendrimer, analyzed by calculating the radius of gyration R, increases with f₀, f, G and P. R calculated by our SCFT agrees well with the results obtained by the Rouse dynamics. With large f₀, f and G, both SCFT and the Rouse dynamics predict the scaling law <R²>≈GPa².
- dendrimer,
- self-consistent field theory,
- segment density profile,
- scaling law
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