Aa. Kornyshev et I. Vilfan, ELECTRIC-FIELD-INDUCED TRANSITIONS ON THE (110) SURFACES OF NOBLE-METALS, Physical review. B, Condensed matter, 47(16), 1993, pp. 10775-10784
Electric-field effects on the transition between the reconstructed and
unreconstructed states of (I 10) noble-metal surfaces in contact with
electrolytes are investigated theoretically. Two models of different
complexity are used to describe the transitions between the 1 X 2 ''mi
ssing row'' and the 1 X 1 structures. These are the Ising model and th
e ''step-excitation'' model which is a variant of a solid-on-solid mod
el, used earlier in the description of Ising and roughening transition
s on (I 10) noble-metal surfaces in ultrahigh vacuum. A suggested proc
edure of parametrization of the model parameters with the surface char
ge of the metal leads, finally, to a phase diagram in the ''temperatur
e-surface-charge-density'' plane. The diagram shows that the transitio
n between the reconstructed and unreconstructed states, which follows
the charging of the surface towards more positive values, passes throu
gh a narrow intermediate region of charges where the surface is disord
ered. This is an ''Ising disorder'' and/or roughening, depending on th
e type of the model and the relation between basic parameters. This an
alysis explains why the transition induced by tuning the electrode pot
ential in the electrochemical cell is possible at room temperature, wh
ereas these surfaces in ultrahigh vacuum deconstruct at much higher te
mperatures; it is in line with the published observations of an interm
ediate disordered region by in situ x-ray diffraction and scanning tun
neling microscopy.