E. Wasserman et al., EWALD METHODS FOR POLARIZABLE SURFACES WITH APPLICATION TO HYDROXYLATION AND HYDROGEN-BONDING ON THE (012)SURFACE AND (001)SURFACE OF ALPHA-FE2O3, Surface science, 385(2-3), 1997, pp. 217-239
We present a clear and rigorous derivation of the Ewald-like method fo
r calculation of the electrostatic energy of the systems infinitely pe
riodic in two dimensions and of finite size in the third dimension (sl
abs). We have generalized this method originally developed by Rhee et
al. (Phys. Rev. B 40 (1989) 36) to account for charge-dipole and dipol
e-dipole interactions and therefore made it suitable for treatment of
polarizable systems. This method has the advantage over exact methods
of being significantly faster and therefore appropriate for large-scal
e molecular dynamics simulations. However, it involves a Taylor expans
ion which has to be demonstrated to be of sufficient order. The method
was extensively benchmarked against the exact methods by Leckner and
Parry. We found it necessary to increase the order of the multipole ex
pansion from 4 (as in the original work by Rhee et al.) to 6. In this
case the method is adequate for aspect ratios (thickness/shortest side
length of the unit cell) less than or equal to 0.5. Molecular dynamic
s simulations using the transferable/polarizable model by Rustad et al
. were applied to study the surface relaxation of the nonhydroxylated,
hydroxylated and solvated surfaces of alpha-Fe2O3 (hematite). We find
that our nonhydroxylated structures and energies are in good agreemen
t with previous LDA calculations on alpha-alumina by Manassidis et al.
(Surf. Sci. 285 (1993) L517). Using the results of molecular dynamics
simulations of solvated interfaces, we define end-member hydroxylated
-hydrated states for the surfaces which are used in energy minimizatio
n calculations. We find that hydration has a small effect on the surfa
ce structure, but that hydroxylation has a significant effect. Our cal
culations, both for gas-phase and solution-phase adsorption, predict a
greater amount of hydroxylation for the alpha-Fe2O3 (012) surface tha
n for the (001) surface. Our simulations also indicate the presence of
four-fold coordinated iron ions on the (001) surface. (C) 1997 Elsevi
er Science B.V.