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24  M. J. SUTCLIFFE AND N. S. SCRUTTON

























                               Figure 2.2. Illustration of the wave-like property of matter by analogy with the
                               vibrations on a violin string. The solid and dashed lines illustrate the extremities
                               of the vibration. Although there is a node (a position where the string is
                               stationary) in the centre of the string, the vibration is transmitted through this
                               node – this is analogous to passing through a region of zero probability as in
                               quantum tunnelling.


                               products. Thus, quantum tunnelling may play an important role in driving
                               enzyme-catalysed reactions, especially for the transfer of small nuclei such
                               as hydrogen.
                                  Indeed, quantum tunnelling is the established mechanism for enzyme-
                               mediated transfer of the much smaller electron. Proteins are electrical
                               insulators; nevertheless, electrons can travel large distances on the atomic
                               scale (up to around 3 10  9  m) through them. This apparent paradox – of
                               an electron passing through an electrical insulator – can be understood in
                               terms of the wave-like properties of the electron. Thus, the electron can
                               pass via quantum tunnelling through regions from which it would be
                               excluded by its particle-like nature.
                                  In contrast to electron transfer via quantum tunnelling, evidence for
                               hydrogen tunnelling in enzyme molecules is extremely limited. This arises
                               conceptually because the mass of the hydrogen is approximately 1840
                               times greater than that of the electron. The probability of tunnelling
                               decreases with increasing mass, which reduces significantly the probabil-
                               ity of hydrogen versus electron tunnelling. Nevertheless, for those
                               enzyme-catalysed reactions with a large activation energy – requiring a
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