Very recently, we investigated various kinds of EMFs to determine their real metal valence orbitals by using detailed wave function analysis. The basis set truncation method was then used to disclose the effects of each of these orbitals in many important aspects including structure, encapsulation stability, electronic properties, bonding pattern, chemical reactivity, metal dynamics, and various spectral behaviors. Furthermore, the relationship between the valence orbitals and their effects with metal element type, structure of internal metallic species, cage size, cage shape and topology was explored. By this thorough investigation, we redefined the real metal valence orbitals inside different carbon cages, and summarized their change rule under different environments to give more insights into the EMFs.