Density functional theory calculations on the title compounds indicate that metal−olefin
bond strengths follow the trend for cyclic olefin strain energies. It was found, however, that
the proportionality between metal−olefin bond energy and strain energy is not evenly
distributed throughout the olefin series. For instance, cyclopropene and cyclobutene are
expected to bind to the metal much more weakly than would be anticipated on the basis of
their strain energies. A bond energy decomposition analysis reveals that the metal−olefin
interaction is responsible for strain relief in the cycloolefins by means of the rehybridization
of the olefinic carbons. However, the geometrical changes accompanying this rehybridization,
namely CC elongation and olefin pyramidalization, involve an energetic cost that is paid
at the expense of the bonding interaction energy. Nonpyramidalized strained olefins such
as cyclopropene and cyclobutene undergo large conformational changes, to the detriment of
their large attractive interaction energies. It was found that a cyclic olefin that is already
deformed, such as trans-cyclooctene, interacts strongly with a metal to relieve strain but
does not suffer much energy-costly reorganizations. This, thus, constitutes an energy benefit
to the metal−trans-cyclooctene bond strength.