  We study the electronic structure of two types of transition metal complexes,
the inverted-sandwich-type and open-lantern-type, by the electronic stress
tensor. In particular, the bond order b_e measured by the energy density which
is defined from the electronic stress tensor is studied and compared with the
conventional MO based bond order. We also examine the patterns found in the
largest eigenvalue of the stress tensor and corresponding eigenvector field,
the "spindle structure" and "pseudo-spindle structure". As for the
inverted-sandwich-type complex, our bond order b_e calculation shows that
relative strength of the metal-benzene bond among V, Cr and Mn complexes is V >
Cr > Mn which is consistent with the MO based bond order. As for the
open-lantern-type complex, we find that our energy density based bond order can
properly describe the relative strength of Cr--Cr and Mo--Mo bonds by the
surface integration of the energy density over the "Lagrange surface" which can
take into account the spatial extent of the orbitals.
