  We investigate within a coarse-grained model the conditions leading to the
appearance of Fano resonances or anti-resonances in the conductance spectrum of
a generic molecular junction with a side group (T-junction). By introducing a
simple graphical representation (parabolic diagram), we can easily visualize
the relation between the different electronic parameters determining the
regimes where Fano resonances or anti-resonances in the low-energy conductance
spectrum can be expected. The results obtained within the coarse-grained model
are validated using density-functional based quantum transport calculations in
realistic T-shaped molecular junctions.
