(
)
M. Okada et al.rChemical Physics Letters 323 2000 586–593
591
atoms exists on the surface at the maximum position
of the desorbing curve. We assume that the follow-
cal reaction within the initial coverage of uD. We
have to introduce this ‘effective uD’ denoted as a,
because some D atoms still remain on the surface
without desorbing at the end of the exchange reac-
ing three types of reactions with hot atoms of HU and
U
Ž .
Ä
4
D occur on the D H -covered Ir 100 surface during
the H2 exposure.
w
x
tion 16 . Moreover, the ‘effective uD’ may have the
physical concept that D atoms located far from the
periphery in the D-adsorbed island cannot contribute
to the hot-atom formation and the chemical reactions
discussed here. The D atoms far from the periphery
in the island still remain unchanged during the reac-
H) primary qD ad
HD g ,
Ž .
D2 g ,
Ž .
HD g ,
Ž .
HD g .
Ž .
1
Ž
.
Ž
.
Ž .
D) secondary qD ad
2
Ž .
3
Ž .
Ž
Ž
Ž
.
.
.
Ž
Ž
Ž
.
.
.
D) secondary qH ad
H) secondary qD ad
tion, since it may be difficult for HU primary to
Ž
.
In reaction 1, primary HU atoms produced in the
dissociation process of H2 react with pre-adsorbed D
atoms and desorb as HD molecules. In reaction 2,
secondary DU atoms produced in the collision with
primary HU react with pre-adsorbed D atoms and
penetrate into the inside of an island due to larger
U
Ž
.
diffusion barrier. The coverage of D secondary
U
Ž
.
Ž .
produced in the reaction of H primary qD ad
U
Ž
.
Ž
.
H ad qD secondary , is also proportional to the
U
Ž
.
‘effective uD’, since H primary are sufficiently
desorb as D2 molecules. In reaction 3, secondary DU
supplied.
U
Ž
H
.
Ž .
atoms produced from adsorbed D H atoms
The total H and D coverage during the reaction
Ž .
react with adsorbed H D atoms and desorb as HD
Ž
.
can be written as us1y0.55 exp ytr4.4 which
molecules.
Ž .
was estimated from the uptake curve of H D adsorp-
tion at PH s6=10y8 Torr 16 . Here, t min
.
Next, we will derive the rate equations of HD and
D2 production from the three types of chemical
w
x
Ž
is the reac2tion time and the initial coverage of
pre-adsorbed D atoms is 0.45. As a result, the de-
Ž .
reactions 1–3. The production rate RHD
via reactions of 1 and 3 can be written in a
t of HD
Ž .
Ž .
sorption rate of HD and D2 , RHD
shown in Fig. 1 can be represented by the form of
Ž .
t and RD t ,
2
U
Ž .
w
Ž
w
. x w
Ž
. x
form of RHD t sk1
H
primary
D ad
.xw Ž .x4
k3 D secondary H ad q H secondary D ad ,
q
U
U
Ä
w
Ž
.xw Ž .x
Ž
Ž
.
Ä
RHD t s reaction 1 A effective uD q reaction 3
where k1 and k3 are rate constants of reactions 1 and
Ž
. 4 Ž .
A
effective uD PuH sA a exp ykt qB a
3, respectively. On the other hand, the production
Ž
Ž
.
Ä
Ž
Ž
..
exp ykt P 0.55 q a y 0.55 exp ytr4.4 y a
Ž .
rate RD t of D2 via reaction 2 can be written in the
.
4
Ž .
Ä
Ž
exp ykt and R t s reaction 2 A effective
2
D2
Ž
) Ž
.xw Ž .x
2
.
24
.
Ž .
w
form RD t sk2 D secondary D ad , where k2
uD sC a exp y2kt , where A, B, C, k, and a
are constants. Here, we approximate the time depen-
dence of the ‘effective uD’ and ‘effective total cover-
2
Ž
.
sk3 is a rate constant of reaction 2. Here, we
U
Ž
.
assume that the sufficient amounts of H primary
U
1
w
Ž
are supplied in region II and, as a result, D sec-
Ž
.
Ž
.
Ž
age’ suH qeffective uD as a exp ykt and 0.55
U
.x
w
Ž
.x
ondary and H secondary are proportional to
.
Ž
.
qa y0.55 exp ytr4.4 , respectively. The mea-
sured curves are reasonably well fitted with these
functions, as shown by the thick solid curves in
Fig. 1. The best-fitted value of 1rk is 5.9 min. The
more rapid decay of the D2 desorption rate than that
of the HD desorption rate can be clearly explained
by the D2 desorption rate which is proportional to
a 2. Furthermore, the peak shift of the D2 desorption
rate relative to that of HD can be also explained by
the existence of reaction 3. Here, in this fitting
process, we introduce a fitting parameter a of the
‘effective uD’, and a in the best fitting of the
experimental curve in Fig. 1 gives 0.14, which agrees
quite well with the value of 0.15 determined from
w Ž .xŽ
.
w Ž .xŽ
.
D ad seffective uD and H ad suH , respec-
tively. Thus, the desorption rate of HD by reaction 3
Ž
.
is proportional to effective uD PuH , while that by
reaction 1 is proportional to the effective uD. On the
other hand, the desorption rate of D2 is proportional
to effective uD 2. Here, we introduce the ‘effective
uD’ in place of uD as D ad . The ‘effective uD’
means the coverage of D participating in the chemi-
Ž
.
w Ž .x
1
Ž
.
M. Okada, K. Moritani: On the HrIr 111 system, it is
confirmed that HU primary are sufficiently supplied even for the
Ž
.
w
x
Ž
.
TPD experiments 16 . The total D coverage deter-
higher pre-adsorbed D coverage of uD unpublished .