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J.X. Wang et al. / Surface Science 540 (2003) 230–236
layers incorporates a nearly ideally terminated
Au(1 1 1) surface with up to three adlayers, given
by
supports the model with a pure Ag monolayer.
The possibility of surface alloying, i.e., an Au–Ag
place exchange, can also be ruled out based on the
unity coverage for both the Au top layer and the
Ag adlayer. This is because the fitted Ag coverage
would be higher than unity and that of the top Au
layer would be lower than unity as the electron
density shifts from the top layer of the substrate to
the adlayer by exchanging Au (electron-rich,
Z ¼ 79) with Ag (having a considerably smaller
number of electrons, Z ¼ 47).
2
2
0
F ðLÞ ¼ fAuðLÞeꢁq r =2e2piLZ
0
3
X
2
2
j
j
þ
hjfjðLÞeꢁq r =2e2piLZ =c
;
ð1Þ
j¼1
where f is atomic factor and q is the reciprocal-
space vector along the surface direction, which is
ꢀ
equal to 2pL=c with c ¼ 7:064 A for Au(1 1 1). The
adjustable parameters are the layer spacings rep-
resented by the position along the surface normal
direction, Zj, the vertical root-mean-square (rms)
displacement amplitudes, rj, and the coverage
with respect to the atomic density of the Au(1 1 1)
surface, hj. The density of the top Au layer is fixed
at unity because we have checked by in-plane
diffraction that the Au(1 1 1) surface reconstruc-
tion is lifted by Pb UPD.
To facilitate a comparison between the X-ray
specular reflectivity profiles for our monolayer
sample and for that obtained for the Ag UPD
monolayer [12], a dashed line is shown in Fig. 3
which is calculated with the same parameters as
those for the solid line except a lowered rms dis-
placement amplitude for the Ag adlayer (from 0.45
ꢀ
to 0.15 A). This curve is rather similar to that for
the Ag UPD monolayer and thus indicates that
there is a significant difference in subatomic scale
between the two monolayer-films. We have found
that the rms value for the Ag UPD monolayer on
For the monolayer sample, as shown in Fig. 3,
the measured specular reflectivity is well repro-
duced (solid line) with one nearly complete Ag
monolayer (i.e., h1 ¼ 0:98 and h2 ¼ h3 ¼ 0). Other
fitted parameters are the Ag–Au layer spacing
ꢀ
Pt(1 1 1) is 0.09 A and in general the rms value for
ꢀ
a UPD adlayer is less than 0.2 A. Therefore, the
high rms displacement amplitude likely originates
from the deposition method.
ꢀ
(Z1 ꢁ Z0 ¼ 2:36 A), the top Au layer spacing
ꢀ
(Z0 ¼ 2:35 A) and the rms amplitudes for the Ag
ꢀ
adlayer (r1 ¼ 0:45 A) and the top Au layer
For the Ag bilayer sample (Fig. 4), the charac-
teristic feature in the specular reflectivity curve is
the double dip between the origin and the (0 0 3)
Bragg positions. The best fit (shown by the solid
line) was obtained with h1 ¼ 0:95, h2 ¼ 0:79, and
h3 ¼ 0. The layer spacings are 2.35, 2.36, and 2.39
ꢀ
(r0 ¼ 0:14 A). Since X-ray reflectivity measures the
electron density profile along the surface normal
direction, and hence is not directly atomic sensi-
tive, there are unlimited possibilities for a mixed
Ag–Pb adlayer to have the electron density
equivalent to that for a 0.98 monolayer Ag. They
are, however, unlikely because the adlayer–Au
spacing clearly supports Ag atoms as the adsor-
bates. Pb atoms are about 20% larger than Au
atoms, while Ag has nearly the same lattice con-
stant as Au. The adlayer–substrate spacing ob-
ꢀ
A for the top Au layer, the first and second Ag
adlayers, respectively. Fittings with fixed nonzero
third Ag layer coverage were carried out to see if
other models also reproduce the reflectivity curve.
A typical result is shown by the dashed line, which
is obtained by fixing the coverage for the third Ag
adlayer at 0.1, while allowing other parameters to
ꢀ
tained from the best fit is 2.36 A, which is close to
ꢀ
ꢀ
the Au(1 1 1) bulk spacing of 2.355 A and far less
vary. The third layer spacing (3.05 A) and rms
ꢀ
than the Pb–Au layer spacing of 2.65 A, found for
ꢀ
amplitude (1.2 A) are both much higher than those
the Pb UPD adlayer on Au(1 1 1) [16]. If a signi-
ficant amount of Pb were in the adlayer, the ad-
layer–substrate layer spacing would be larger than
the Au(1 1 1) bulk spacing, which would cause
visible asymmetry in the reflectivity curve near the
Bragg positions. The absence of this feature clearly
for the first two layers, suggesting that there is no
tightly bounded third Ag adlayer. The quality of
the bilayer film is, however, quite different from
that made by UPD. The fitted rms displacement
ꢀ
amplitudes are 0.38 and 0.76 A for the first and
second Ag layers, respectively, significantly higher