An interaction model of omega-carboxylalkanethiol monolayers adsorbed on th
e Au(lll) surface is presented in order to explain the shift of the sigmoid
al pH-titration curve from the titration curve of acetic acid. The model is
based on the six-coordinated Coulomb interaction between the nearest neigh
boring deprotonated carboxylic ions. The pK(1/2) value (pH of the solution
at which adsorbed calboxyl groups are half-ionized) calculated thermodynami
cally from the Coulomb interaction is smaller than the experimental value.
The small shift is ascribed to stabilization of the protonated carboxyl gro
ups by the hydrogen bonding. The hydrogen bonding interaction is introduced
by use of a statistical mechanical approach for the cooperative phenomena.
The calculation is carried out based on the Bethe approximation in order t
o take into account the difference between the six-coordination of the Coul
omb interaction and the four-coordination of the hydrogen bonding. Better f
itting to the experimental values is obtained by use of the usual values of
the hydrogen bonding energy. As a result, the sum of the Coulomb interacti
on and the hydrogen bonding interaction, each of which is evaluated to be 3
.65 pH units, equivalent to 0.22 V or 21 kJ mol(-1), explains the experimen
tal titration curve well. (C) 1999 Elsevier Science S.A. All rights reserve
d.