are not the CFS of the (79)$_{1}$, except the (12)$_{c}$-1 which is very poor in binding. Thus the energy of this state is much higher. Owing to the (78)$_{1}$  is lower while the (79)$_{1}$ is higher, the difference leads to a platform appearing in Fig.2 between $L=78$ and 79.

Ranging from  (79)$_{1}$ to (90)$_{1}$, all these states have only one FS, thus their structures can be well predicted.  The N$_{out}$ of their FS (cf. Table 2) increases from 1 to 12, this leads to a regular variation of their electronic structure. When N$_{out}$ is small (say, N$%
_{out}\leq 5$ ), the outward electrons are found to be very close to the core. As a result, their ring-core-structures are ambiguous as shown in Fig.3b and 4b, where the patterns are representative for the (79)$_{1}$ to (83)$_{1}$ states.  In these states the FS itself is not competitive. This fact would lead to a stronger mixing of structures, and therefore they are liquid-like.

 Even in the liquid-like states, electronic correlation can still be viewed via the three-body densities as shown in Fig.5a and 5b, they are representative. Fig.5a for the (81)$_{1}$ exhibits that the three outward electrons (two are labelled by white spots 