**4. Conclusions**

In the present paper, we have provided a glimpse into the structure and photodetachment cross sections of bare fullerene anions and nested fullerene onion-anions and uncovered the existence of a number of unusual features. The results were obtained on a zeroth-order basis, so to speak. However, the zeroth-order basis is a valuable and necessarily part of any study of any multielectron atomic and molecular systems and processes. This is because, firstly, it provides a kind of a roadmap where more sophisticated theoretical studies of these systems should be conducted and, secondly, the comparison between the results obtained with a more accurate calculation with those obtained in this zeroth-order study is the only way to understand the importance and strength of the physical interactions that are not accounted in the framework of the zeroth-order approximation. We hope that the results of the present study will serve as an impetus to more complete theoretical studies of the structure and photodetachment spectra of fullerene (onion–)anions, now that we know that they might be quite unusual.

**Author Contributions:** Conceptualization, V.K.D. and S.T.M.; methodology, V.K.D. and S.T.M.; formal analysis, V.K.D. and S.T.M.; investigation, V.K.D. and S.T.M.; writ-ing—original draft preparation, V.K.D. and S.T.M.; writing—review and editing, V.K.D. and S.T.M.; All authors have read and agreed to the pub-lished version of the manuscript.

**Funding:** The work of STM was supported by the US Department of Energy, Office of Science, Basic Energy Sciences under Award Number DE-FG02-03ER15428.

**Institutional Review Board Statement:** Not applicable.

**Informed Consent Statement:** Not applicable.

**Conflicts of Interest:** The author declares no conflict of interest.
