Comparison of TS2 HOMOs of two model systems, (a) Parent and (g)
Asp-103 + Tyr-16/57. The MO energy levels (in eV) are drawn in red
and blue lines for ɛ = 1 and 10, respectively. The case for ɛ = 80
(not drawn) is similar to that for ɛ = 10. In case a, the HOMO energy
of TS2 is high (−0.4 eV) compared with that of ES (−1.7 eV), because
a negative charge needs to be stored in the substrate. However, the
HOMO energy of ES through EP in case g is somewhat constant and highly
negative (−2.0 to ≈−2.7 eV). Thus, the MOs clearly demonstrate how
the catalytic residues of case g lower the activation barrier by the
proton–electron rearrangements driven by SSHB compared with case a.
For g, a strong π-conjugation is responsible for the change in bond
orders (electron rearrangements). This π-conjugation lowers the HOMO
energy drastically (−2.0 eV), because the negative charge in the
substrate responsible for raising the HOMO energy of a is temporarily
stored on catalytic residues Tyr-16 and Asp-103 at second to sixth
HOMOs (−3.4, −4.1, −4.4, −4.6, and −4.6 eV). The seventh MO energy
showing the full π-conjugation through four C atoms 3–6 (i.e., the
same bond orders of 1.5 for all these carbon—carbon conjugate bonds),
which is responsible for the H shift from C4 to C6 position, is also
low (−4.7 eV). This low energy is in contrast to the high energy
(−3.5 eV) of the corresponding MO for the full π-conjugation in case
a. In the third HOMO of g, which corresponds to the second HOMO of a,
the oxyanion is highly stabilized by its interaction with the H atoms
of residues Tyr-16 and Asp-103. These H atoms are highly deshielded
(and are therefore responsible for large chemical shifts) by two
strongly electron-withdrawing O atoms of the residues, whereas each
deshielded H atom (or proton) shared by both anionic O atoms shows some
of the highly polarized p-like orbital characteristics (due to the sp
hybridization with which the proton bridges the two O atoms). This
analysis in a way reflects the characteristics of SSHBs due to MO
interactions as well as noninduced electrostatic interactions.