(a) Chemical structure of the polyphenylene dendrimer of the fourth generation. (b) Chemical structure of the stilbenoid dendrimer of the third generation .
The form factor of polyphenylene dendrimers of the fourth generation (Ref. 8) (squares and upper line) and stilbenoid dendrimers of the third generation (Ref. 14) (circles and lower line) as obtained by small-angle neutron scattering (symbols). The lines represent the calculated form factors. For reasons of clarity, the upper data set and line have been shifted up.
Modeling of the the form factor of the polyphenylene dendrimer of the fourth generation. The dendritic scaffold is setup of a central unit consisting of two small spheres (distance: ) describing the central biphenyl unit. The four dendrons were modeled by eight spheres (distance: ), respectively, having a diameter of . Both parameters were used as a fitting parameter. For the sake of clarity the size of the spheres has been depicted slightly smaller. The angles between the different units are indicated in the graph. The torsional angle was chosen at random for each dendron.
Experimentally determined structure factors for polyphenylene dendrimers of the fourth generation (Ref. 8) in (a) and stilbenoid dendrimers of the third generation (Ref. 14) in (b) together with the results of the theoretical predictions of the PRISM integral equation theory [Eqs. (3) and (6)]. The volume fraction of the dendrimers increases from top to bottom: , 0.032, 0.046, 0.065, and 0.08 in (a); , 0.019, 0.039, 0.061, and 0.1 in (b). For reasons of clarity, the upper data sets and lines have been shifted up by 0.1, 0.2, 0.3, and 0.4, respectively.
Inverse structure factor extrapolated to vanishing scattering vectors of stilbenoid dendrimers of the third generation (Ref. 14) [with the same symbol code as in Fig. 4(b)]. The dashed line follows from the scaled particle theory according to Eqs. (10), (12), and (13) with , while the dotted line represents the results of the fundamental measure theory as obtained from Eqs. (10), (12), and (14) with . The solid line shows the results as obtained from Eqs. (10) and (12) with .
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