The planimetric unfold method of fullerene cage structure

Two kinds of planimetric diagrams, which consist of the boat form F₆ and F₅, the storm petrel form F₆ and F₅, respectively, were proposed to express the geometric structure of fullerene cage in this study. There are two chief advantages using the diagrams: (i) the spatial symmetrical characteristic of fullerene cage is not destroyed; (ii) the coordination forms of F₅ and F₆ in the structure can be clearly expressed. This work has laid the foundation for studying the structural geometry of fullerene cage and its quantum chemistry and property.