The central eight‐membered ring of tetrakis(perfluorocyclobuta)cyclooctatetraene (1) is flat both in the crystal and in solution, but tetrakis(perfluorocyclopenta)cyclooctatetraene (2) assumes a tub shape similar to that of parent cyclooctatetraene. This sterically induced structural difference strongly affects the physical properties of compounds 1 and 2. The first and second reduction potentials of 1 in solution, +0.79 and +0.14 V vs. SCE, are considerably more positive than the corresponding values, +0.20 and −0.21 V, of 2. Accordingly, mere contact with Hg metal in N,N‐dimethylformamide converts 1 to an unusually stable radical anion 1.− that is persistent in air. The temperature‐independent coupling constant, aF=+0.320 mT, of the sixteen equivalent β‐19F‐nuclei in 1.− is much smaller than the expected value, and the g factor of 1.− is markedly lower than those generally found for structurally related radical anions. In contrast, the characteristic data for 2.−, generated from 2 with K metal in 1,2‐dimethoxyethane, comply with the expected data. The coupling constants aF=+0.976 and +0.935 mT, each of eight β‐19F‐nuclei in 2.−, average +0.951 mT upon raising the temperature from 220 to 260 K. The gas‐phase electron affinity of 1, A=3.4±0.2 eV, which was estimated from the reduction potential in solution and from charge‐transfer absorption spectra obtained from a series of methylated benzenes and naphthalenes, is among the highest known for neutral organic molecules.