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



                               tunnelling gives a transfer distance of 0.6 10  10 m. This distance is similar
                               to the length of a reaction coordinate and is thus suggestive of high tunnel-
                               ling probability. The larger masses of deuterium and tritium lead to corre-
                               sponding transfer distances of 0.4 10  10 m and 0.3 10  10 m, respectively,
                               thus making kinetic isotope effect studies attractive for the detection of
                               hydrogen tunnelling in enzymes. Tunnelling is also favoured by high and
                               narrow energy barriers; for low and wide barrier shapes, transfer is domi-
                               nated by the classical route.
                                  Thus, different strategies are required for optimising enzyme structure
                               for reactions to proceed by quantum tunnelling rather than classical trans-
                               fer. For classical transfers, the enzyme has evolved to reduce the height of
                               the potential energy barrier and to stabilise the transition state (rather than
                               ground state). In the quantum regime, it is reduction of barrier width and
                               not height that optimises rate. Quantum tunnelling from the ground state
                               requires little or no structural reorganisation of the substrate, and the need
                               to stabilise a transition state is thus eliminated. Exclusion of water from
                               the active sites of enzymes prevents coupling of solvent motion to the
                               transfer reaction, and this leads to a reduction of mass for the transferred
                               particle. In the following sections, we review the evidence for quantum
                               tunnelling in biological catalysis and discuss the strategies employed by
                               enzymes to optimise the transfer process. Surprisingly – and unlike for bio-
                               logical electron transfers – reports of hydrogen tunnelling in enzymatic
                               reactions have been restricted to only a small number of enzyme mole-
                               cules. The realisation that hydrogen tunnelling occurs in enzymes has
                               been relatively recent. This may, in part, be due to (i) the misconception
                               that the much larger mass of the hydrogen nucleus is inconsistent with
                               tunnelling, and (ii) the erroneous assumption that measured kinetic
                               isotope effects 
7 are always indicative of classical hydrogen transfer. Our
                               recent work has demonstrated that hydrogen tunnelling in proteins is inex-
                               tricably coupled to protein dynamics. This provides a link to the estab-
                               lished theories for electron tunnelling in proteins. To provide a framework
                               for the discussion of hydrogen tunnelling in enzymes, protein-mediated
                               electron transfer is discussed below.


                               2.5 Electron tunnelling in proteins

                               The transfer of electrons in proteins by a quantum mechanical tunnelling
                               mechanism is now firmly established. Electron transfer within proteins
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