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Quantum
Tunneling & Isotope Effects. Quantum mechanical "tunneling"
of an atom through a chemical barrier is an intriguing yet presumably
widespread feature of chemical reactions involving light atoms such
as hydrogen. Substitution of stable, heavy isotopes in a reaction
can help elucidate whether molecules cross over the chemical barrier,
tunnel under it, or both. For example, substitution of deuterium
for hydrogen in the [1,5] hydrogen shift of 1,3-pentadiene should
slow the reaction because heavier masses have smaller de Broglie
wavelengths and thus penetrate barriers with greater difficulty.
Since heavy isotopes also reduce the zero-point vibrational energy,
the classical barrier is effectively increased as well. Since both
the classical and quantum effects work in the same direction, disentangling
their relative contributions can be challenging. We have embarked
upon a computational journey to estimate contributions of both effects. |