The {η
2
-(X@C
n
)}PtL
2
complexes possessing three
kinds of encapsulated ions (X
= F
–
, Ø, Li
+
), three various ligands
(L = CO, PPh
3
, NHC
Me
), and twelve cage sizes
(C
60
, C
70
, C
72
, C
74
, C
76
, C
78
, C
80
, C
84
, C
86
, C
90
, C
96
, C
100
) are theoretically
examined by using the density functional theory (M06/LANL2DZ). The
present computational results demonstrate that the backward-bonding
orbital interactions, rather than the forward-bonding orbital interactions,
play a dominant role in the stability of {η
2
-(X@C
n
)}PtL
2
complexes. Additionally, our
theoretical study shows that the presence of the encapsulated Li
+
ion can greatly improve the stability of {η
2
-(X@C
n
)}PtL
2
complexes, whereas
the existence of the encapsulated F
–
ion can heavily
reduce the stability of {η
2
-(X@C
n
)}PtL
2
complexes. Moreover, the theoretical evidence
strongly suggests that the backward-bonding orbital interactions as
well as the stability increase in the order {η
2
-(X@C
n
)}Pt(CO)
2
< {η
2
-(X@C
n
)}Pt(PPh
3
)
2
< {η
2
-(X@C
n
)}Pt(NHC
Me
)
2
. As a result, these theoretical observations
can provide experimental chemists a promising synthetic direction.