20294 J. Phys. Chem. B, Vol. 108, No. 52, 2004
Kasarevic-Popovic et al.
0
number of Pt atoms per TiO2 nanoparticle is considerably
0
smaller: The formal concentration of Pt (Figure 5) is in the
-
5
-4
range 5 × 10 - 2.5 × 10 M, meaning that on the average
0
each colloid particle is loaded with only 0-3 atoms of Pt
depending on the Pt concentration) and most TiO2 surface is
0
(
not covered with platinum. A significant fraction of the TiO2
nanocrystallites has no Pt . If the decay of eTiO involves Pt0
0
-
2
and electrons on the same nanocrystallite, only partial decay of
-
-
eTiO2 is expected, contrary to the observation that the eTiO2
absorbance decays nearly to zero by a single-exponential
process. Our observations can be rationalized by aggregation
of the TiO2 nano-particles as a three dimensional network,16
which enables electron hopping between the nanocrystallites
0
0
to Pt sites. In addition, migration of Pt through the aqueous
suspension, in line with the Ostwald ripening, enables the Pt0
catalyst activity at a number of TiO2 aggregates.
Figure 5. Catalyzed decay of eTiO2- as a function of Pt0 catalyst
0
GC Measurements. H2 yields developed from reactions 1, 3,
12, and 13 have been determined after irradiating TiO2 solutions
in the presence as well as in the absence of platinum, at acid
pH containing 0.2 M (CH3)2CHOH. Blank argon saturated
aqueous solutions containing only (CH3)2CHOH at the same
pH were irradiated. In the blank solution, H2 originates from
concentration. Pt coated on TiO
from plots such as Figure 3, [TiO
0.2 M, Ar saturated. The line corresponds to k ) 0.52 M
2
at pH 2.5. The rate constant taken
2
] ) 0.2 M, big particles, [2-propanol]
-
1
-1
)
s .
+
H apparently involves adsorbed hydrogen atoms (reaction 10
and 11)
-
+
three sources: (i) Reaction of eaq (G ) 2.7) with H to give
-
+
0
•
0
•
•
eTiO2 + H (Pt ) f H (Pt ) + TiO
(10)
(11)
H followed by reaction 3; (ii) primary H atoms (G ) 0.6)
reacting according to (3); (iii) molecular yield of H2 (G ) 0.45).
The total yield in the blank solution sums up to G ) 3.75. The
evolution of H2 in TiO2 solutions in the absence of platinum is
expected to be lower: At the pH of the experiments (pH 2.7),
2
-
0
•
0
-
eTiO2 + H O(Pt ) f H (Pt ) + TiO + OH
2
2
-
•
0
+
+
-
there is competition between H and TiO2 for the eaq . Taking
eTiO2 + H (Pt ) + H f H
(12)
(13)
2
-
+
10
-1 -1 15
the rate constant of eaq with H as 2.2 × 10
M
s
and
-
8
-1 -1 14
eaq with TiO2 as 2.6 × 10 M s , 50% of the solvated
•
0
•
0
H (Pt ) + H (Pt ) f H
+
2
electrons react with H to produce H2 (G ) 1.3). The rest of
-
the solvated electrons produce eTiO , which in the absence of
2
0
0
It should be emphasize that the presence of Pt is essential for
reaction 10 and 11 to take place. The adsorbed hydrogen radicals
from reaction 10 and 11 produce molecular hydrogen by
reactions 12 and 13, rather than hydrogen abstraction from
Pt do not produce H . Since practically all H atoms produce
2
H according to reaction 3, the calculated yield of H is 1.3 +
2
2
0.45 + 0.6 ) 2.35. The experimental result from six different
solutions showed an average yield of 2.4 ( 0.3, in very good
agreement with the expected value.
(
CH3)2CHOH (reaction 3). This will be further discussed later.
2
0
-1 -1
0
Our results yield average values k10 ) 1.3 × 10 [Pt ] M
s
When Pt is also present, the H yield is increased due to
2
0
-1
•
and k11) 0.1[Pt ] s .
reactions 10-13. Furthermore, the OH radicals reacting with
2-propanol produce (CH3) C OH radicals, which eventually
•
Kinetic measurements at different platinum concentrations
2
-
-
and at a given pH show that the rate of eTiO decay increases
linearly with Pt concentration. This is shown in Figure 5.
reduce TiO to form e
according to reaction 6. This further
2
2
TiO2
0
-
increases the expected total H yield. Had e
2
TiO2
reacted with
0
+
The linear increase is expected if the added Pt increases the
H /water producing free H atoms, the total molecular hydrogen
yield would have increased to at least 3.75 + 2.7 ) 6.45. It
should be noted that the expected yield in the case of hydrogen
abstraction from the 2-propanol by the hydrogen atom inter-
mediate must be even higher, because generation of free H atoms
0
number of catalytic sites, which may be aggregates of Pt settled
on the TiO2 surface or separate Pt atoms. The possibility that
increasing Pt concentration enhances the catalysis by increasing
0
0
the surface area of existing aggregates can be ruled out, as in
such a case where the rate is expected to increase with the 2/3
power of the concentration rather than the observed linear
dependency. This conclusion is also in agreement with an earlier
-
from eTiO2 would have initiated a chain reaction producing H .
However, the energy of eTiO2 is not sufficient for generation
2
-
of free hydrogen atoms, and consequently, adsorbed hydrogen
0
0
observation that the Pt aggregates grow up to a constant average
atoms recombine on the surface of Pt to produce molecular
0
11
size, which does not depend on the Pt concentration.
hydrogen (reaction 13). In such mechanism taking into consid-
It is worthwhile to consider the distribution of eTiO2 and Pt0
on the TiO2 particles. The average number of TiO2 molecules
per particle in solutions of big particles (diameter 5 nm) is
estimated as about 2000. This value is derived from the
-
+
-
eration the competition between H and TiO for e , a total
2
aq
hydrogen yield of 4.7 is predicted. The average of six different
0
2
TiO /Pt solutions at pH 2.3 showed a yield of (4.8 ( 0.6), in
excellent agreement with the value predicted above on the basis
of adsorbed hydrogen atom recombination.
3
equation: n ) πd FA/6m, where n is the number of TiO2
molecules in a particle, d is the particle diameter in cm, F is
3
Conclusions
the density of TiO2 taken as 4 g/cm , A stands for Avogadro’s
number, and m is the molecular weight of TiO2. This calculation
The reaction of eTiO2- with water and hydrogen ions is easily
-
4
-
leads to a concentration of about 10 M of colloid particles in
separated in time from the generation of eTiO2 by pulse
-
the 0.2 M TiO2 solutions. Thus, the initial concentration of eTiO
radiolysis. Thus, we have been able to study the kinetics of the
electron decay as a function of pH. The pseudo-first-order
kinetics and the first-order rate dependency on H and Pt0
2
produced by the electron beam (about 10-3 M) corresponds to
an average of 10 electrons per TiO2 nanoparticle. The average
+