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Our fixed volume predictions actually correspond to the Helmholtz free energy. Nevertheless, we will us "ΔG" throughout, because that appears to be the common usage in this field.
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65
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As discussed in the text, rotation about the N-C bond renders the three ammonium group protons equivalent. We only observe this rotation, however, when glycine is in the zwitterion form-when the reaction coordinate R<-2 Å. For the other sampling windows, such a rotation cannot occur until R<-2 Å, i.e., unless the system leaves the pertinent sampling windows, which it is prevented from doing by the umbrella sampling constraints on the glycine geometry (Table). So as long as we use an unconstrained ZW window and constrained sampling windows elsewhere, ΔG (R) is unambiguous. This is one reason we elect to use umbrella sampling rather than the more common integration of the constrained force method. For general ways to deal with the deprotonation of atoms with multiple protons attached, M. Sprik, Chem. Phys. 259, 139 (2000).
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Our plane-wave based QM/MM capability is built into the plane-wave electronic structure code VASP [G. Kresse and J. Furthmüller, Phys. Rev. B 0163-1829 10.1103/PhysRevB.54.11169 54, 11169 (1996); G. Kresse and J. Furthmüller, Comput. Mater. Sci. 0927-0256 10.1016/0927-0256(96)00008-0 6, 15 (1996)]. The QM/MM algorithm is similar to that of A. Laio, J. VandeVondele, and U. Rothlisberger, J. Chem. Phys. 116, 6941 (2002), except that, given the small box size, the QM and MM regions are coupled together directly in Fourier space.
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w, is obtained by integrating the pair correlation g(r) of the pertinent atom with the water O or H atom to its first minimum.
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|