Radiation Chemistry of High Temperature and Supercritical Water and Alcohols 407
within 100°C–300°C, not exceeding the critical temperature of water (Gottschall and Hart, 1967;
Dixon and Lopata, 1978; Jou and Freeman, 1979b; Christensen and Sehested, 1986; Shiraishi et al.,
1994). There was one report on the e
aq
−
spectrum at temperatures up to 390°C below the critical
pressure, but the information provided was very limited (Michael et al., 1971). In 2000, Wu et al.
reported temperature dependences of the e
aq
−
spectrum and Gε
max
by the pulse radiolysis method
over a temperature range of 25°C–400°C including the supercritical condition (Wu et al., 2000).
With increasing temperature, the absorption peak λ
max
of e
aq
−
shifts signicantly to longer wave-
lengths. The value of Gε
max
in supercritical water is considerably smaller than in liquid water at
room temperature. A later study reported by Bartels et al. showed that the e
aq
−
spectrum at super-
critical temperatures shifts slightly to the red as density decreases (Bartels et al., 2005). With the
application of spectral moment theory, Bartels et al. estimated the average size of the electron wave
function and of its kinetic energy. It appears that for water densities below about 0.6g/cm
3
, and
down to below 0.1g/cm
3
, the average radius of gyration for the electron remains constant at around
3.4Å, and its absorption maximum is near 0.9eV. For higher densities, the electron is squeezed into
a
smaller cavity and the spectrum is shifted to the blue.
The
fact that e
aq
−
does exist in SCW and even persists at densities as low as ∼8 × 10
−3
g/cm
3
(limit
of the study) (Jortner and Gaathon, 1977) indicates that the electron experiences a strong interac-
tion with the neighboring water molecules, implying a dominant role of the short-range molecular
structure
in the microscopic description of the electron localization and hydration mechanisms.
15.4.1.2
density
e
ffects
on the a
bsorption
s
pectra
of e
aq
−
From a microscopic perspective, many of the unique features of SCW are due, in large part, to the
changes that take place in the intermolecular structure and hydrogen bonding of water at elevated
temperatures. In fact, a wide variety of experimental investigations as well as molecular-based
computer simulations in the last decade have shown that, at supercritical conditions, the innite
H-bond network of the molecules present in ambient water crosses a percolation transition, that is,
breaks down to form small clusters of bonded water molecules in various tetrahedral congurations
surrounded by nonbonded gas-phase-like molecules (Ohtaki et al., 1997; Tucker and Maddox, 1998;
Partay and Jedlovszky, 2005; Wernet et al., 2005). As a result, the instantaneous picture of SCW
can be viewed as that of an inhomogeneous medium with coexisting high- and low-density regions.
The absorption spectra of the hydrated electron have been measured by the electron pulse radi-
olysis techniques in supercritical water (D
2
O) at different temperatures and densities (or pressures)
(Jay-Gerin et al., 2008). Over the density range studied (∼0.2–0.65g/cm
3
), the e
aq
−
absorption maxi-
mum is found to shift only slightly to the red with decreasing density, in agreement with previous
work. Assembling the present data together with those already reported in the literature in sub-
critical and supercritical water shows that
A
varies linearly (in a double logarithmic plot) with
density for the various temperatures investigated (namely, 350°C, 375°C, 380°C, 390°C, and 400°C)
and that the resulting lines are all parallel (within the experimental uncertainties). The temperature
dependence of
A
in subcritical and supercritical D
2
O further reveals that, at a xed pressure
(25MPa),
A
decreases monotonically with increasing temperature in passing through the liquid-
SCW phase transition at t
c
, but exhibits a minimum at a xed density (0.2 and 0.65g/cm
3
) as the
water passes above t
c
into SCW, as shown in Figure 15.4. These behaviors can be understood by
means of simple microscopic arguments based on the changes that occur in the water properties and
water structure in the subcritical and supercritical water regimes. Most importantly, the role of local
density and molecular congurational uctuations (associated with criticality) in providing preex-
isting polymeric clusters that act as trapping sites for the excess electron is a pivotal point in the
interpretation of the data. By comparison with the (H
2
O)
n
−
cluster data of Ayotte and Johnson (1997)
and Coe (2001), in SCW at 400°C, the average cluster size is estimated to be ∼32 water molecules
for ρ = 0.65g/cm
3
and ∼26 for ρ = 0.2g/cm
3
, respectively. These cluster size values are consistent
with reported experimental clustering data on (H
2
O)
n
−
ions, indicating that interior-bound excess
electron states are energetically favored in these subcritical and supercritical regions. Electrons