Through molecular modeling of the available structures containing dimolybdenum bonds of orders 3.5 and 3,
solution pairs of harmonic force constant (k
r) and bond length (r
o) have been obtained as (3.63 mdyne/Å, 2.07 Å)
and (3.37 mdyne/Å, 2.10 Å), respectively. Together with the known solution pair for MoMo, this sufficed to
establish a general relationship between k
r, r
o and bond order, N, as N = 0.9537k
r = 131.8r
o
-5. Using this
relationship as a sampling curve, we extended the analysis to include Mo2 bonds of orders 2 and 1. The relationship
was accordingly shown to apply to the entire {N, k
r} space.