(
)
A. FurlanrChemical Physics Letters 309 1999 157–164
163
w
x
atom. But, even for unbranched alkyl nitrites 12 ,
the yield of HNO from a solid film is expected to be
much lower than the yield from a liquid film, since
HNO is mainly formed in the bulk by the cage-medi-
sion and a desorption temperature Ts275 K. The
best fit to the measured NO spectra was obtained
with a surface layer thickness of 0.2 nm. All dodecyl
dinitrite molecules which have an excited –ONO
unit located within 0.2 nm from the gas-liquid inter-
face, will eject hyperthermal NO. This highly simpli-
fied model assumes a step function in the cage
Ž .
ated reaction 6 which requires full solvation of the
geminate pairs ROqNO. Due to the very low diffu-
sion coefficient in the cold solid film, the fraction of
HNO molecules which reach the gas–solid interface
and desorb within the timescale of the experiment is
much smaller than in the liquid film. Typical diffu-
Ž
escape probability from 0.02 in the bulk to 1 in the
.
surface layer . The desorption temperature and the
number density in the interfacial region are also
assumed to change abruptly. Since a single tempera-
ture fit cannot reproduce the hyperthermal contribu-
tion of the NO spectrum shown in Fig. 3, while a
similar fit was successful for solid films, it is con-
cluded that at the gas–liquid interface the transition
between uncaged molecules and fully caged
molecules is smoother than at a gas–solid interface.
An improved calculation would require a more real-
istic modeling of caging, density and temperature
profiles at the gas–liquid interface. Once these ef-
fects are correctly modeled one could use the fitted
calculation to extract average orientations of the
excited surface molecules. Refined calculations along
sion constants of solids are 10y12–10y10 cm2 sy1
,
about four orders of magnitude smaller than in the
w
x
liquid 29 . It may seem surprising, according to this
argument, that HNO was also found as a photodisso-
ciation product ejected from supersonically cooled,
solid methyl nitrite clusters 8 . The ‘heat bath’
represented by a cluster is so small, however, that
w x
Ž
the available energy deposited by a photon f22 000
cmy1 can be sufficient for evaporating the whole
.
w x
cluster. Thereby all photoproducts are released 8 .
Another discrepancy between the solid and liquid
surfaces are the disparate ratios of hyperthermal and
thermal signal contributions. Jenniskens et al. found
hyperthermal-to-thermal ratios ranging from f1 for
w
x
this line are under way 28 .
Ž
.
low coverages (1 monolayer to f8 at higher
In summary, NO and HNO were the only photo-
products desorbing from a liquid solution of dodecyl
dinitrite in squalane after irradiation at 275 and 355
nm. At both excitation wavelengths, approximately
w
x
coverages 10 . The relative yield of thermal NO
ejected off the liquid is roughly two orders of magni-
tude larger than in the solid film. This discrepancy
is attributed to stronger caging and a lower diffusion
coefficient in the bulk solid as compared to the
liquid. A recent calculational study of solid and
liquid matrices reported a dramatic drop of the cage
Ž
.
the same relative yield was found NOrHNOf2–4 .
All HNO and most NO molecules desorb with a
translational temperature in equilibrium with the sur-
rounding solvent, indicating several collisions prior
to desorption. A small fraction of the NO fragments
desorb with high kinetic energies corresponding to
temperatures in the range 500–2200 K. In contrast,
in the photolysis at solid surfaces, the relative yield
of thermalized NO desorbing from the liquid film is
much larger than that from solid surfaces. This may
reflect the weaker cage effect and larger diffusivity
in the topmost layers of the liquid.
w
x
escape probability as the matrix freezes 30 . The
low diffusivity prevents NO molecules formed deep
inside the film from reaching the surface within the
timescale of the experiment. Finally, the desorption
barrier for the thermalized NO may also be rate-
limiting at the low temperature of the solid photodis-
sociation experiments.
For a rough estimate of the relative yields of
thermal and hyperthermal NO, the simulated liquid
film is divided into a surface layer of variable thick-
ness, and the bulk liquid. In the surface layer all NO
Acknowledgements
Ž
Ž .
fragments are assumed to be ejected promptly within
.
the first 1 ms timestep according to Eq. 4 , with
Ttrans s2000 K, while the NO fragments formed
below this layer are treated with the isothermal
This work was supported by the Swiss National
Foundation. The author thanks Professor J.R. Huber
for his generous support.
Ž . Ž
.
model including the bulk reactions 5 – 10 , diffu-