Dendrimers are self-repeating globular branched star molecules, whose fractal structure continues to fascinate, challenge, and inspire. 1 Functional dendrimers may incorporate redox centers, and potential applications include antennae molecules for light harvesting, sensors, mediators, and artificial biomolecules. Dendrimers with a redox core show no significant inhibition 2 but also shielding (by the branches) 3 and orientation effects (in asymmetric dendrimers) upon the rate of heterogeneous electron transfer. 4 Dendrimers with redox centers in the branches are also well-known. Using thinlayer-cell electrochemistry, all 21 tetrathiafulvalenes embedded in the branches of a third-generation dendrimer are electrochemically accessible leading to a 42+ cation. 5 Using pulse radiolysis, Fox reported fast electron transfer (e-transfer) between peripheral biphenyls (donors) and a core acceptor (a Ru(II)-complex). 6 On the other hand, Crooks has reported incomplete electrolysis of amido amine dendrimers with a viologen functionalized perimeter, 7 while Amatore and Abruña using ultrafast voltammetry have reported fast e-transfer, despite the 2-nm separation from one another, among the 64 Ru-complexes in the perimeter of a fourth-generation dendrimer adsorbed on a microelectrode; 8 the fast charge propagation was attributed to the branch flexibility.On the basis of those reports, e-transfer across the perimeter of dendrimers should depend on their rigidity, but it is unclear whether it would be more or less efficient than e-transfer along the branches. As these questions have important implications for molecular design, they were investigated with star systems 1-4, serving as models of first-and second-generation redox dendrimers. Cations 1-4 incorporate 4-benzoyl-N-alkylpyridinium (BP), 9 whose redox potential (a) varies along the branches and (b) remains constant at fixed radius. Our strategy was to measure the number of electrons, n 1 , exchanged between 1 and the electrode at different time-scales, and infer how easily charge randomizes across the perimeter of a relatively small, rigid redox star-system. Thus, n 1 was assessed both at a semi-infinite time scale (by bulk electrolysis) and at the cyclic voltammetric (CV) time scale of 0.02-10 V s -1 . Next, the voltammetry of 2-4 was used to assess whether within the same time scale redox centers within the branches are as accessible as redox centers across the perimeter. Figure 1 shows the redox processes of 1 versus decamethylferrocene (dMeFc: internal standard). 10 One-electron-like waves indicate that redox units behave independently of one another. 11 Bulk electrolysis of 1 at -0.85 V vs Ag/AgCl affords n 1 ) 3.01 ( 0.03. The linearity of the Randles-Sevcik plot in inset A shows that the number of redox centers reduced remains unchanged in the time scale of 0.02-10 V s -1 . Within this time-scale, n 1 was determined first by comparing the ratio of the slopes of the Randles-Sevcik plots of 1 and dMeFc with the limiting current ratio obtained in the same solution wi...