Paul Bertier1,2, Léo Lavy1, Denis Comte1,3, Linda Feketeová1, Thibaud Salbaing1, Toshiyuki Azuma2, Florent Calvo4, Bernadette Farizon1, Michel Farizon1, Tilmann D Märk3. 1. Université de Lyon, Université Claude Bernard Lyon1, CNRS, IP2I Lyon/IN2P3, UMR5822, F-69622, Villeurbanne, France. 2. Atomic, Molecular & Optics (AMO) Physics Laboratory, RIKEN Cluster for Pioneering Research, 351-0198 Saitama, Japan. 3. Institut für Ionenphysik und Angewandte Physik, Leopold Franzens Universität Innsbruck, 6020 Innsbruck, Austria. 4. Université Grenoble Alpes, CNRS, LIPhy, F-38000 Grenoble, France.
Abstract
Postirradiation dissociation of molecular clusters has been mainly studied assuming energy redistribution in the entire cluster prior to the dissociation. Here, the evaporation of water molecules from out-of-equilibrium pyridinium-water cluster ions was investigated using the recently developed correlated ion and neutral time-of-flight (COINTOF) mass spectrometry technique in combination with a velocity-map imaging (VMI) device. This special setup enables the measurement of velocity distributions of the evaporated molecules upon high-velocity collisions with an argon atom. The distributions measured for pyridinium-water cluster ions are found to have two distinct components. Besides a low-velocity contribution, which corresponds to the statistical evaporation of water molecules after nearly complete redistribution of the excitation energy within the clusters, a high-velocity contribution is also found in which the molecules are evaporated before the energy redistribution is complete. These two different evaporation modes were previously observed and described for protonated water cluster ions. However, unlike in the case of pure water clusters, the low-velocity part of the distributions for pyridinium-doped water clusters is itself composed of two distinct Maxwell-Boltzmann distributions, indicating that evaporated molecules originate in this case from out-of-equilibrium processes. Statistical molecular dynamics simulations were performed to (i) understand the effects caused in the ensuing evaporation process by the various excitation modes at different initial cluster constituents and to (ii) simulate the distributions resulting from sequential evaporations. The presence of a hydrophobic impurity in water clusters is shown to impact water molecule evaporation due to the energy storage in the internal degrees of freedom of the impurity.
Postirradiation dissociation of molecular clusters has been mainly studied assuming energy redistribution in the entire cluster prior to the dissociation. Here, the evaporation of water molecules from out-of-equilibrium pyridinium-water cluster ions was investigated using the recently developed correlated ion and neutral time-of-flight (COINTOF) mass spectrometry technique in combination with a velocity-map imaging (VMI) device. This special setup enables the measurement of velocity distributions of the evaporated molecules upon high-velocity collisions with an argon atom. The distributions measured for pyridinium-water cluster ions are found to have two distinct components. Besides a low-velocity contribution, which corresponds to the statistical evaporation of water molecules after nearly complete redistribution of the excitation energy within the clusters, a high-velocity contribution is also found in which the molecules are evaporated before the energy redistribution is complete. These two different evaporation modes were previously observed and described for protonated water cluster ions. However, unlike in the case of pure water clusters, the low-velocity part of the distributions for pyridinium-doped water clusters is itself composed of two distinct Maxwell-Boltzmann distributions, indicating that evaporated molecules originate in this case from out-of-equilibrium processes. Statistical molecular dynamics simulations were performed to (i) understand the effects caused in the ensuing evaporation process by the various excitation modes at different initial cluster constituents and to (ii) simulate the distributions resulting from sequential evaporations. The presence of a hydrophobic impurity in water clusters is shown to impact water molecule evaporation due to the energy storage in the internal degrees of freedom of the impurity.
Pyridine (C5H5N) is a hydrophobic aromatic
molecule, and the pyridinium complex it forms with water has attracted
significant attention in the scientific community owing to its importance
in a broad range of fields, including atmospheric science and astrobiology.
Pyridine is the raw material required to produce more complex nitrogen-substituted
polycyclic aromatic hydrocarbons (NPAHs), and its presence in interstellar
environments[1,2] contributes to questioning the
origin of life on Earth, as prompted by the panspermia theory which
supports that part of the material needed to generate life might originate
from Space.[3] Investigations of the properties
of pyridinium–water clusters have so far mainly focused on
proton transfer mechanisms within the clusters[4−8] and on the propensity for hydrogen bonding[4,9,10] within a given time window, allowing
the study of evaporation of molecules from clusters under equilibrium
conditions. The recent development of the Dispositif d’Irradiation
d’Agrégats Moléculaire (DIAM),[11] involving the correlated ion and neutral time-of-flight
(COINTOF) mass spectrometer[12,13] combined with a velocity-map
imaging (VMI) method,[14] gives us the opportunity
to study the energy disposal in out-of-equilibrium molecular systems
by measuring the velocity distribution of molecules evaporated from
the cluster. The theories used to describe systems at equilibrium
are well developed and allow the calculation of quantities such as
temperatures or binding energies Ed from
the kinetic energy released (KER). The framework developed by Klots[15] can notably be used to relate the width of the
velocity distribution represented by the product of the molecule’s
temperature T and the Boltzmann constant kB: kBT to the binding energy Ed of the evaporated
molecule.[15] The first measurements of KER
that could be used to measure Ed were
performed on the decay of carbon dioxide cluster ions by Stace and
Shukla.[16] These authors also investigated
the statistical repartition of the excess energy in argon clusters
before their evaporation.[17]In the
present contribution, we have studied the out-of-equilibrium
evaporation of water molecules after electronic excitation of pyridinium–water
cluster ions. Velocity distributions of evaporated molecules upon
high-velocity collisions with an argon atom were measured, providing
detailed insights into the energy transfer within the cluster. We
find that the velocity distributions measured for pyridinium–water
clusters have two distinct components. Besides a low-velocity contribution,
which corresponds to the evaporation of a water molecule after nearly
complete redistribution of the excitation energy within the cluster,
a high-velocity contribution is also found in which the molecule is
evaporated before the energy redistribution is completed. These two
evaporation modes were previously identified in protonated water cluster
ions.[18] However, unlike in pure water clusters,
the low-velocity part of the velocity distributions for pyridinium-doped
water clusters is itself composed of two distinct Maxwell–Boltzmann
distributions, indicating that evaporated molecules in the low-velocity
part also result from competing out-of-equilibrium processes. Moreover,
the evaporation of water molecules from excited clusters is found
to be much slower when the water cluster is doped with a pyridinium
ion.
Experimental Setup
The DIAM apparatus
used here to generate a beam of energy- and
mass-selected pyridinium–water cluster ions PyH+(H2O) has been described
elsewhere.[11,18] In summary, a neutral beam produced
by a continuous supersonic expansion of a pyridine and water vapor
is ionized by electron impact. The positive ions are accelerated to
8 keV and double focused by a E⃗ × B⃗ sector field mass spectrometer which selects the
ions in energy and mass. Then, the PyH+(H2O) ion beam collides with an effusive argon
gas jet whose density is controlled to ensure single-collision conditions.
After excitation by these collisions, the excited cluster ions will
dissociate into a charged fragment and one or several neutral species.
All fragments, neutral and charged, are then mass analyzed by the
COINTOF technique described in detail elsewhere.[12−14,19,20]The COINTOF technique
allows correlated detection on a single detector
of the neutral and charged fragments originating from the same single
dissociation event. In short, the charged fragments are extracted
from the collision region, accelerated proportionally to their mass-to-charge
ratio (m/q), and enter a field-free region. The neutral
fragments keep in principle the initial velocity of their parent ions,
and their respective arrival time serves as an internal reference
for each single-collision event. All fragments are then detected on
a microchannel plate detector (MCP, F2225-21X from Hamamatsu) and
the measurement of the arrival time of each fragment, i.e., the ion
and at least one of the neutral counterparts, permits the identification
of the charged species. A delay-line anode detector (DLA DLD40, Roentdek)
located after the MCP detector associates coordinates (x and y) of the impact position on the detector of
each fragment. The overall information, event by event, is saved to
keep the correlation of the time and position information on all the
fragments produced in a single-cluster ion dissociation. The intensity
of the incident beam is kept below 500 counts per second to minimize
the probability of detecting fragments produced from different decaying
parent cluster ions.After collision, the deposited energy possibly
leads to the dissociation
of the incident cluster ion. The KER upon dissociation is partitioned
to the various fragments according to total momentum conservation.
In the present study, we restrict our discussion only to dissociations
leading to the loss of water molecules from the parent cluster ions.
The evaporated molecules acquire an additional velocity randomly oriented
in the center-of-mass reference frame (CMF) of the parent cluster.
For the evaporated molecules, the additional velocity in the CMF leads
to a transverse velocity component in the laboratory frame and consequently
to a change in the impact position on the detection plane. The left
part of Figure shows
the impact distributions for an 8 keV-PyH+(H2O)4 incident beam in the x–y plane and the evaporation of a single water molecule.
The impact distribution exhibits a clear radial symmetry, and thus
the 2D distributions can be restricted to a 1D radially integrated
distribution, also shown in the inset. The combination of an iterative
unfolding technique based on the Bayes theorem and a Monte Carlo simulation
of the detection device allows us to deduce the corresponding velocity
distributions.[12,21] The velocity distributions corresponding
to the four dissociation channels are represented in the right panel
of Figure . All of
them have two components: a peak between 0 and 2000 m s–1 and a large tail extending to 6000 m s–1. The average value and the width of the lower part of the velocity
distribution both increase with the number m = 1
to 4 of evaporated molecules.
Figure 1
Impact and velocity distributions of water molecules
evaporated
from excited PyH+(H2O)4 cluster ions.
(a) 2D impact distribution of the evaporated molecules with its corresponding
1D integrated radial distribution for the evaporation of m = 1 water molecule (inset); (b) velocity distributions for dissociations
involving one (red line), two (blue line), three (green line), or
four (black line) evaporated water molecules.
Impact and velocity distributions of water molecules
evaporated
from excited PyH+(H2O)4 cluster ions.
(a) 2D impact distribution of the evaporated molecules with its corresponding
1D integrated radial distribution for the evaporation of m = 1 water molecule (inset); (b) velocity distributions for dissociations
involving one (red line), two (blue line), three (green line), or
four (black line) evaporated water molecules.
Results and Discussion
Evaporation of a Single
Water Molecule
Kinetic Energy Release
The energy
deposited into the system during the collision lies typically in the
range of 0–12 eV, and in around 80% of the cases it falls
below 4 eV.[22] This energy is therefore
in most cases above the intermolecular dissociation energy of the
water molecules or the pyridinium molecular ion in the cluster, which
ranges between 0.3 and 0.7 eV for the PyH+(H2O) cluster ions.[23,24] We focus first on the evaporation of a single water molecule. The
velocity distributions for the evaporation of a single molecule induced
by collision of 8 keV-PyH+(H2O) cluster ions with argon atoms are shown
in the first column of Figure as a function of cluster size n. The experimental
distributions exhibit two distinct contributions: a low-velocity component
between 0 and 2000 m s–1 and a high-velocity component
between 2000 m s–1 and 6000 m s–1.
Figure 2
Velocity distributions obtained from the evaporation of a single
water molecule from PyH+(H2O) cluster ions. Experimental distributions are shown
in the first column (a). Simulated distributions obtained from statistical
molecular dynamics (SMD) shown correspond to global excitations (GE,
column (b)), to a local excitation of the pyridinium ion (LE: PyH+, column (c)), or to a local excitation of a random water
molecule (LE: H2O, column (d)). The dashed green curves
correspond to Maxwell–Boltzmann fits of the low-velocity part
of the distributions, and the dashed orange curves correspond to Gaussian
fits of the high-velocity nonergodic events.
Velocity distributions obtained from the evaporation of a single
water molecule from PyH+(H2O) cluster ions. Experimental distributions are shown
in the first column (a). Simulated distributions obtained from statistical
molecular dynamics (SMD) shown correspond to global excitations (GE,
column (b)), to a local excitation of the pyridinium ion (LE: PyH+, column (c)), or to a local excitation of a random water
molecule (LE: H2O, column (d)). The dashed green curves
correspond to Maxwell–Boltzmann fits of the low-velocity part
of the distributions, and the dashed orange curves correspond to Gaussian
fits of the high-velocity nonergodic events.Such a behavior is similar to the one observed earlier in collision
induced dissociation (CID) experiments on protonated water cluster
ions.[25] These previous results showed that
the low-velocity part can be fitted very well with a Maxwell–Boltzmann
distribution and therefore represents thermalized parent ions in which
the deposited energy was statistically redistributed among all vibrational
modes before dissociation. The corresponding fragmentation events
will be referred to as Maxwell–Boltzmann events. Moreover,
a high-velocity contribution was also observed in these CID experiments
on protonated water cluster ions, corresponding to nonergodic evaporations
of water molecules before complete energy redistribution in the droplet.[25]The total kinetic energy release (KER)
during the dissociation
is extracted from the low-velocity part of these distributions. The
velocity of the evaporated molecule is directly related to the KER,
whose averaged value can be calculated by using the momentum and energy
conservation laws:with V the velocity of the
evaporated water molecule, and mH its mass.The values obtained for the average total
KER are presented in Figure as a function of
cluster size n. For comparison, the ⟨KER⟩
obtained for neat protonated water clusters measured under the same
experimental conditions is also shown in Figure . In both cases, the ⟨KER⟩
is found to decrease strongly with increasing n,
and similar values are reached for pyridinium-doped and protonated
water clusters at large n. Small nanodroplets are
stabilized by the strong intermolecular bonds created by the proton,
but the charge’s role decreases rapidly with increasing numbers
of water molecules. For nanodroplets containing a larger number of
water molecules, the properties are determined by these molecules,
and the individual role of the ion (H3O+ or
PyH+) becomes negligible. We notice that in the case n = 1 only two molecules are connected by an intermediate
proton. This result is in agreement with computational studies performed
by Caleman and Van Der Spoel[26] on the evaporation
from larger water clusters containing 216 or 512 molecules that showed
that ions present and forming hydrogen bonds do not affect the evaporation
significantly compared to a pure water cluster.
Figure 3
Mean value of the total
KER deduced from the low-velocity part
of the velocity distributions measured in this work for PyH+(H2O) cluster
ions (present work: closed red square). For comparison, the results
for H3O+(H2O) cluster ions obtained with the same setup (closed black squares[21]) and from Bruzzie et al.[27] (open black squares) are also reported.
Mean value of the total
KER deduced from the low-velocity part
of the velocity distributions measured in this work for PyH+(H2O) cluster
ions (present work: closed red square). For comparison, the results
for H3O+(H2O) cluster ions obtained with the same setup (closed black squares[21]) and from Bruzzie et al.[27] (open black squares) are also reported.Moreover, Figure also shows the results for ⟨KER⟩ measured by
Bruzzie,
Parajuli, and Stace[27] for the evaporation
of a molecule from metastable cluster ions H3O+(H2O). The reported
⟨KER⟩ values are much smaller than the present ones
and show no dependence on size above a cluster size of n = 3. In contrast to our experiment, these authors focused
on the decay of metastable cluster ions over much longer time scales
of about 10–4 s, hence probing much colder internal
states.[27] In our experiment, the possible
amount of energies deposited is quite broad (ranging from 0 to 12
eV) and can thus be above the amount of energy necessary to evaporate
more than one molecule. Therefore, the shape of the velocity distribution
is not limited by the energy deposition but results from the out-of-equilibrium
dynamics: to be in the measured (size-selected) distribution, the
out-of-equilibrium droplets must have evaporated one molecule during
the observational time window but no more than one. With increasing
deposited energy, several evaporation channels come into competition
with each other, and the likelihood of evaporation of two or more
molecules thereby increases. This competition originates from the
many pathways after redistribution of the excess energy into the various
intermolecular degrees of freedom.
Modeling
by Statistical Molecular Dynamics
Simulations
The experimental velocity distributions are analyzed
by dedicated computational modeling at the atomistic level of details,
using as introduced earlier for protonated water clusters statistical
molecular dynamics (SMD) simulations.[25] We use the nonpolarizable Amber ff99[28] potential to describe microhydrated pyridinium
complexes and start by generating equilibrated configurations, in
phase space, of various microhydrated complexes containing between
1 and 10 water molecules, although we focus below on a more restricted
range. Replica-exchange molecular dynamics trajectories are used to
generate these phase space samples, employing four temperatures allocated
geometrically in the 50–150 K range. These trajectories consist
of a thermalization period of 200 ps, followed by 1 ns proper sampling
in which configurations (positions and velocities) are saved every
100 fs at the third trajectory with the temperature close to 100 K.
The standard Nosé–Hoover thermostat method is used for
this thermalization part, all simulations being performed using homemade
codes. Then random configurations are chosen from these samples to
generate initial conditions of subsequent trajectories at constant
total energy but after extra excitation in the form of additional
kinetic energy deposited in the entire cluster (global excitation)
or only a subpart of it (local excitation). In the latter case, we
further distinguish local excitations either on the pyridinium ion
or on a random water molecule. Here, we should stress that at the
present temperature of interest of 100 K, the equilibrated samples
generally exhibit some conformational diversity already for two or
more molecules in the clusters, owing to the competing hydrogen-bond
interactions between water molecules and between water and the pyridinium
ion. Although we have not tried to restrict the samples to be conformation-specific,
this could be a natural perspective of the present work. A large number
(100 000) of such trajectories are carried out independently,
taking a random excitation energy in the range of 3–8 eV. After
1 ns, each trajectory is ended, and the number and nature of the fragments
are identified, the velocity distributions of the evaporated water
molecules being determined for each evaporation channel.The
results (see Figure ) show that the velocity profile strongly depends on the excitation
process. At very low velocities, i.e., below 1500 m s–1, each calculated velocity distribution can be accurately fitted
by a Maxwell–Boltzmann distribution. In the simulations, only
local excitations of water molecules can produce nonergodic high-energy
components, which, as was the case for protonated water clusters,[18] seem to overestimate this effect when compared
to experimental distributions, i.e., when comparing column (d) with
column (a) in Figure . This however is not too surprising because the relative proportion
of local excitations on random water molecules in the experiment is
not known and thus cannot be modeled by the simulations. A first analysis
(shown in blue and red in Figure ) of the low-velocity part of the velocity distributions
obtained from SMD simulations (given in Figure ) shows that in the case of locally excited
pyridinium a lower average value ⟨V⟩
and width ΔV are obtained than for the other
excitation processes. Both quantities decrease with increasing cluster
size n for each type of excitation and reach approximately
constant values at large n.
Figure 4
Average value ⟨V⟩ (upper panel)
and width ΔV (lower panel) of the low-velocity
part of the velocity distribution of evaporated water molecules from
PyH+(H2O) and H3O+(H2O) cluster ions. The experimental data (full red lines) are compared
with the predictions of statistical molecular dynamics calculations
performed for a global excitation (dashed dark blue lines), a local
excitation of pyridinium (dash-dotted blue lines), or a local excitation
of a random water molecule (dotted cyan lines). The results from similar
simulations performed for neat protonated water clusters are also
shown, assuming global excitation (dark green solid lines) or local
excitation of the hydronium ion (dashed green lines).
Average value ⟨V⟩ (upper panel)
and width ΔV (lower panel) of the low-velocity
part of the velocity distribution of evaporated water molecules from
PyH+(H2O) and H3O+(H2O) cluster ions. The experimental data (full red lines) are compared
with the predictions of statistical molecular dynamics calculations
performed for a global excitation (dashed dark blue lines), a local
excitation of pyridinium (dash-dotted blue lines), or a local excitation
of a random water molecule (dotted cyan lines). The results from similar
simulations performed for neat protonated water clusters are also
shown, assuming global excitation (dark green solid lines) or local
excitation of the hydronium ion (dashed green lines).Moreover, the average velocities ⟨V⟩
calculated from SMD simulations are systematically higher than the
experimental values, which is due to the much shorter time window
covered in those calculations (1 ns versus about 200 ns in the experiment).
Longer trajectories would enable access to slower events involving
lower excitation energies, associated with lower evaporation rate
constants and in turn to slower evaporating molecules. A global shift
accounting for this difference can be applied to bring the two sets
of results closer to each other, as was already noted earlier in the
case of protonated water clusters, i.e., amounting to a shift of −350 m s–1 for local excitations on pyridine, −600 m
s–1 for global excitations, and by −680 m
s–1 for local excitations on water. These numbers
are comparable to the value of −740 m s–1 reported for protonated water clusters.[25]The SMD results corrected along these lines are compared with
the
corresponding data for distributions predicted for neat protonated
water cluster ions (in green in Figure ). In the latter case, the ⟨V⟩ and ΔV values for the low-velocity
parts of the distributions are rather similar for the two types of
excitations (in particular for cluster sizes above n = 3), suggesting that the low-velocity part of the distributions
corresponds to molecules which are only evaporated after some redistribution
of the energy from the excited molecule toward the entire cluster.
In contrast, in the case of pyridinium–water cluster ions,
energy deposition into the pyridinium ion leads to marked differences
in the ⟨V⟩ and ΔV values of the low-velocity part of the distribution in particular
for lower n values. However, energy deposition into
a random water molecule of a pyridinium-doped water cluster ion leads
to distributions, and thus ⟨V⟩ and ΔV values, that for larger n values
are similar to the ones predicted for protonated water clusters.These significant differences in the ⟨V⟩
and ΔV values for lower n values
show that the low-velocity part of the distributions strongly
depends on the excitation mechanism. It is interesting to note that
these lower ⟨V⟩ and ΔV values for dissociation after initial local excitation of a pyridinium
ion indicate incomplete thermalization of the deposited energy. In
this case of an excitation of the pyridinium ion, which is hydrophobic
and therefore located outside of the residual water cluster, only
a limited amount of hydrogen bonds between the pyridinium ion and
the water molecules is available to transfer the energy between both
parts of the cluster. The excitation energy deposited in the molecular
ion has to flow across this bottleneck in order to be transferred
to the water part, leading to a more limited amount of energy available
for the water molecules to evaporate.Additional molecular dynamics
simulations were performed to characterize
the redistribution kinetics, by evaluating the time variations K(t) of the kinetic energy in the ionic
impurity after its excitation at time t = 0. Figure shows the time correlation
function ⟨K(t)K(0)⟩/⟨K2(0)⟩ averaged
from 1000 independent trajectories and compares the results obtained
for differently sized pyridinium–water cluster ions, together
with earlier results obtained for the protonated water tetramer cluster
ion.[29] Typical average relaxation times
for the neat water clusters are on the order of some picoseconds,
and times for the pyridinium–water clusters are found to lie
at least one order of magnitude higher. Moreover, it is interesting
to see that for these pyridinium–water cluster ions studied,
the relaxation is faster for clusters containing more water molecules.
This is a natural consequence of the increasingly higher probability
that a water molecule is directly excited in larger clusters and to
the greater number of molecules bonded to water in comparison to the
pyridinium ion.
Figure 5
Normalized relaxation of the kinetic energy initially
deposited
in the molecular ion. The time correlations are shown for H3O+(H2O)3 (red line), PyH+(H2O)2 (blue line), PyH+(H2O)3 (green line), and PyH+(H2O)4 (black line) upon excitation of the molecular ion at time t = 0.
Normalized relaxation of the kinetic energy initially
deposited
in the molecular ion. The time correlations are shown for H3O+(H2O)3 (red line), PyH+(H2O)2 (blue line), PyH+(H2O)3 (green line), and PyH+(H2O)4 (black line) upon excitation of the molecular ion at time t = 0.The measured velocity
distributions for the evaporation of a single
water molecule from these pyridinium-doped water cluster ions can
thus be understood in terms of two distinct contributions: the local
excitation of the pyridinium ion and the local excitation of a water
molecule in the cluster. We can now exploit the corresponding SMD
velocity distributions to fit the experimental distributions with
the two corresponding Maxwell–Boltzmann components (results
shown in Figure ),
their main features (width and shift) being fixed by these SMD results
(see Figure ). To
obtain the best possible fit between calculated and experimental values,
we adjust the corresponding proportions of the two local excitation
modes, a (pyridinium) and b (random
water molecule), and the corresponding values are given in Figure .
Figure 6
Velocity distributions
for water molecules evaporated from pyridinium–water
clusters measured in the experiment (thick red lines) and fitted distributions
using two contributions from the SMD simulations assuming local excitations
of either the pyridinium ion (dashed green lines) or a random water
molecule (dotted orange lines). The resulting fits are shown as blue
lines. The corresponding weights a (pyridinium) and b (water) are also given.
Velocity distributions
for water molecules evaporated from pyridinium–water
clusters measured in the experiment (thick red lines) and fitted distributions
using two contributions from the SMD simulations assuming local excitations
of either the pyridinium ion (dashed green lines) or a random water
molecule (dotted orange lines). The resulting fits are shown as blue
lines. The corresponding weights a (pyridinium) and b (water) are also given.It turns out that the low-velocity contribution of the experimental
distributions can be fitted in this way quite well, and from the derived a and b values it follows that for the
evaporation of a single molecule, the major excitation process involved
is the excitation of the pyridinium ion. In contrast, and as seen
below, the excitation of a water molecule is likely the cause of most
events involving other evaporation channels, most notably the evaporation
of several water molecules.
Evaporation
of Several Water Molecules
The velocity distributions corresponding
to multiple evaporations
of water molecules can also be determined in the present experiment.
Moreover, these distributions will be interpreted here by carrying
out dedicated Monte Carlo (MC) simulations of the sequential dissociation
process, using SMD calculated velocity distributions for each individual
evaporation step.[18] The method has been
previously validated for protonated water clusters, for which a very
good agreement with the experimental distributions was reached.[30] Here, we carry out MC simulations using different
SMD velocity distributions as inputs corresponding to evaporations
of a single molecule after local excitation either on the pyridinium
ion or on a random water molecule. Figure shows the velocity distribution for the
sequential evaporation of two (left panel) or three (right panel)
molecules from PyH+(H2O). Both kinds of excitation modes were used in the
simulation as inputs: local excitation on PyH+ in dashed
green and local excitation on a water molecule in dashed yellow.
Figure 7
Velocity
distributions for the sequential evaporation of two (left
column) and three (right column) water molecules from PyH+(H2O) obtained
from Monte Carlo simulations based on SMD distributions for single-molecule
evaporations. Full red lines: experimental data; dashed green lines:
simulations assuming only local excitation of the pyridinium ion,
dotted orange lines: simulations assuming only local excitation of
a single random water molecule.
Velocity
distributions for the sequential evaporation of two (left
column) and three (right column) water molecules from PyH+(H2O) obtained
from Monte Carlo simulations based on SMD distributions for single-molecule
evaporations. Full red lines: experimental data; dashed green lines:
simulations assuming only local excitation of the pyridinium ion,
dotted orange lines: simulations assuming only local excitation of
a single random water molecule.Similar results are obtained for the evaporation of two or three
molecules: it can be seen that the local excitation of a random water
molecule produces a wider distribution, and the corresponding maximum
value lies at higher velocities than those observed in the case of
a local excitation of the pyridinium ion. It is noteworthy that the
discrepancies between the distributions obtained for these two excitation
modes, i.e., assuming local excitations of a water molecule or the
pyridinium ion, are clearly larger in the velocity distribution calculated
for the evaporation of several molecules as compared to single evaporations.
It should be stressed that in both experiments and these MC simulations,
evaporations originate from a single-cluster atom collision, and therefore
evaporation of the first and second or third molecules is all due
to the same initial excitation.Using these calculated distributions,
we can again try to fit the
experimental data by adjusting the proportions of the two contributions
as in the case of single evaporation. As shown in Figure (left panel: evaporation of
two molecules, right panel: evaporation of three molecules), a good
agreement between calculated and experimental values can be achieved
assuming approximately equal values for the two-excitation modes.
Nevertheless, the contribution arising from local excitations of random
water molecules is slightly more prominent for all cluster sizes studied
here, and for n = 3 and m = 3, the
results indicate a preference for excitation processes acting on one
of the water molecules.
Figure 8
Experimental velocity distributions (red lines)
for the evaporation
of two (left column) and three (right column) water molecules from
PyH+(H2O) and fitted distributions using two contributions from the SMD simulations
assuming either local excitations of a single random water molecule
(dotted orange line) or local excitation of the pyridinium ion (dashed
green lines). The blue lines show the sum of the two contributions.
The corresponding weights a and b are also given.
Experimental velocity distributions (red lines)
for the evaporation
of two (left column) and three (right column) water molecules from
PyH+(H2O) and fitted distributions using two contributions from the SMD simulations
assuming either local excitations of a single random water molecule
(dotted orange line) or local excitation of the pyridinium ion (dashed
green lines). The blue lines show the sum of the two contributions.
The corresponding weights a and b are also given.The results obtained here assuming sequential evaporation demonstrate
that the velocity distributions measured for the evaporation of several
molecules can be quantitatively reproduced from the velocity distributions
corresponding to the evaporation of a single molecule. This conclusion
confirms the statistical character of these events, at variance with
the high-energy component which arises due to nonergodic evaporation
occurring before complete thermalization.Such a conclusion
is in contrast with the earlier results obtained
on protonated water clusters,[25,30] for which no such sensitivity
on the type of local excitation was found in the Monte Carlo modeling
in the case of multiple evaporations. The distributions measured here
for a hydrophobic impurity thus suggest that some information about
the initial excitation mechanisms is retained in the properties of
the delayed water evaporation.
Conclusion
and Outlook
We measured here the velocity distributions of
evaporated molecules
induced by the collision of 8 keV-PyH+(H2O) cluster ions with argon atoms
and interpreted the results using statistical molecular dynamics simulations.
These SMD simulations performed with different kinds of excitations
allow us to discuss the contribution of each of the excitations to
the overall shape of the velocity distribution. The low velocity part
of the distribution can be fitted quite well by a combination of two
Maxwell–Boltzmann distributions that correspond to initial
excitations of a random water molecule and of the pyridinium ion,
respectively. In the case of excitation on the pyridinium ion, the
excitation energy deposited has to flow across a hydrogen-bond bottleneck
in order to transfer toward the water part, leading to a more limited
energy available for the water molecules to evaporate. The distributions
measured here for a hydrophobic impurity thus suggest that information
about the initial excitation mechanisms is retained in the delayed
signal as evidenced by the evaporation of water molecules from these
excited clusters.The differences observed in the velocity distributions
of evaporated
molecules from locally excited water clusters containing hydrophilic
(proton) or hydrophobic (pyridinium ion) impurities highlight the
importance of the ion–molecule interactions in the competition
between equilibrium and out-of-equilibrium redistribution mechanisms,
a topic that has attracted significant attention in recent years (see,
e.g., ref (31) and
references therein). The interpretation of the experimental distribution
was performed here using the results of a large number of molecular
dynamics trajectories calculations undertaken assuming the collisional
energy was localized into individual cluster constituents (molecules).
While this assumption was justified in a dedicated earlier study,[32] the present modeling remains unable to evaluate
the proportion of nonergodic events. Furthermore, it neglects reactivity
and the possible occurrence of proton exchange between the pyridine
and water molecules.From the experimental perspective, it would
be relevant to extend
the present methodology to other molecular complexes involving larger
organic building blocks. Beside the challenging context of the description
of changes in the Earth’s atmosphere, the method paves the
way toward new investigations in the astrochemistry field.
Authors: G Bruny; S Eden; S Feil; R Fillol; K El Farkh; M M Harb; C Teyssier; S Ouaskit; H Abdoul-Carime; B Farizon; M Farizon; T D Märk Journal: Rev Sci Instrum Date: 2012-01 Impact factor: 1.523
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Authors: Dorian S N Parker; Ralf I Kaiser; Oleg Kostko; Tyler P Troy; Musahid Ahmed; Bing-Jian Sun; Shih-Hua Chen; A H H Chang Journal: Phys Chem Chem Phys Date: 2015-12-21 Impact factor: 3.676
Authors: F Berthias; L Feketeová; H Abdoul-Carime; F Calvo; B Farizon; M Farizon; T D Märk Journal: Phys Chem Chem Phys Date: 2018-06-22 Impact factor: 3.676
Authors: Hassan Abdoul-Carime; Francis Berthias; Linda Feketeová; Mathieu Marciante; Florent Calvo; Valérian Forquet; Henry Chermette; Bernadette Farizon; Michel Farizon; Tilmann D Märk Journal: Angew Chem Int Ed Engl Date: 2015-10-16 Impact factor: 15.336
Authors: Linda Feketeová; Paul Bertier; Thibaud Salbaing; Toshiyuki Azuma; Florent Calvo; Bernadette Farizon; Michel Farizon; Tilmann D Märk Journal: Proc Natl Acad Sci U S A Date: 2019-10-21 Impact factor: 11.205