A Green function linear combination of atomic orbitals technique is used to
theoretically calculate the "inelastic" scanning tunneling microscope imag
e of a C2H2 molecule adsorbed on Cu(100) and explain previous experimental
results. Our analysis of the inelastic scattering process in terms of the o
rbitals shows that a destructive interference occurs in the inelastic scatt
ering by the C-H bending modes. This results in a much smaller inelastic fr
action due to the bending modes as compared to the stretching ones, and exp
lains why the former cannot be observed experimentally.