*Article* **A Glimpse into Photodetachment Spectra of Giant and Nested Fullerene Anions**

**Valeriy K. Dolmatov 1,\*,†,‡ and Steven T. Manson 2,‡**


**Abstract:** We focus on the study of the photodetachment of bare, i.e., single-cage (<sup>C</sup>*N*)<sup>−</sup> as well as nested (multi-cage) (<sup>C</sup>*N*@C*M*@ ...)<sup>−</sup> singly charged fullerene anions. We calculate the attached electron's wavefunctions, energies, oscillator strengths and photodetachment cross sections of the <sup>C</sup><sup>−</sup>60, <sup>C</sup><sup>−</sup>240, <sup>C</sup><sup>−</sup>540, (C60@C240)<sup>−</sup>, (C60@C540)<sup>−</sup>, (C240@C540)− and (C60@C240@C540)− fullerene anions, where the attached electron is captured into the ground *s*-state by the resultant external field provided by all fullerene cages in the anion. The goal is to gain insight into the changes in behavior ofphotodetachment of this valence electron as a function of the different geometries and potentials of the various underlying fullerenes or nested fullerenes (fullerene onions) both due to their increasing size and due to "stuffing" of a larger bare fullerene with smaller fullerenes. To meet this goal, we opt for a simple semi-empirical approximation to this problem: we approximate each individual fullerene cage by a rigid potential sphere of a certain inner radius, thickness and potential depth, as in numerous other model studies performed to date. The results reveal a number of rather significant differences in the wavefunctions, oscillator strengths and photodetachment cross sections among these fullerene anions, some of which are completely counter-intuitive. The results obtained can serve as a "zeroth-order-touchstone" for future studies of single-cage and nested fullerene anions by more rigorous theories and/or experiments to build upon this work to assess the importance of interactions omitted in the present study.

**Keywords:** photodetachment; carbon fullerenes; carbon fullerene anions; carbon fullerene onions
