Shoma Hoshino1, Kento Ishii1, Koichi Tsukiyama1. 1. Department of Chemistry, Faculty of Science Division I, Tokyo University of Science, 1-3 Kagurazaka, Shinjuku, Tokyo 184-8501, Japan.
Abstract
We investigated the predissociation dynamics from the [2Π1/2]c5d; 0g + and [2Π3/2]c6d; 0g + Rydberg states of Br2 using the velocity map imaging technique. Two-dimensional scattering images of the fragmented Br+ exhibited an isotropic feature upon the excitation of these Rydberg states. Analysis of the total kinetic energy release suggested the existence of the predissociation pathways to the dissociation limits of Br(5s, 4P3/2) + Br(4p, 2P3/2) and Br(5s, 4P5/2) + Br(4p, 2P3/2) via the 0g + ion-pair states that interact with the lower and/or excited-core Rydberg states lying at long internuclear distance regions thorough the avoided crossing.
We investigated the predissociation dynamics from the [2Π1/2]c5d; 0g + and [2Π3/2]c6d; 0g + Rydberg states of Br2 using the velocity map imaging technique. Two-dimensional scattering images of the fragmented Br+ exhibited an isotropic feature upon the excitation of these Rydberg states. Analysis of the total kinetic energy release suggested the existence of the predissociation pathways to the dissociation limits of Br(5s, 4P3/2) + Br(4p, 2P3/2) and Br(5s, 4P5/2) + Br(4p, 2P3/2) via the 0g + ion-pair states that interact with the lower and/or excited-core Rydberg states lying at long internuclear distance regions thorough the avoided crossing.
Since the widespread use
of tunable dye lasers in the late 1970s,
the development of powerful spectroscopic techniques, such as laser-induced
fluorescence (LIF),[1] coherent anti-Stokes
Raman spectroscopy (CARS),[2] and resonance-enhanced
multiphoton ionization (REMPI),[3] has enabled
us to investigate in detail the quantum state distributions of the
internal states (rotational, vibrational, and electronic) of a wide
range of products, resulting in dramatic advances in reaction dynamics
research. However, spectroscopic approaches, in other words, measurements
on the frequency axis, have the disadvantage that information about
the translational motion (recoil velocity and anisotropy) is difficult
to obtain, which is often essential for understanding reaction dynamics.The ion imaging technique has been developed by Chandler and Houston
to comprehensively elucidate the reaction mechanism, including information
such as rate distribution and anisotropy parameters.[4,5] In contrast to spectroscopic methods, ion imaging has a tremendous
advantage in which all of the information including two-dimensional
(2D) images, velocities, and angular distributions associated with
chemical reactions can be obtained.[6] Since
then, techniques concerning ion imaging methods have been developed
for a long time. As a result, the resolution of the images has been
greatly improved,[7] and image processing
and analysis methods have been well established.[8] The ion imaging technique is now recognized to be of high
value in the field of chemical reaction dynamics.Diatomic molecules,
such as halogen molecules, are considered benchmarks
for the study of reaction dynamics in the excited states due to their
simple structures and have been studied both experimentally and theoretically
for many years. In particular, the direct photodissociation and predissociation
dynamics of the lower-valence electronic states of halogens have long
been the subject of intensive research.[9,10] However, in
the higher-energy region, where a number of highly excited states
such as the Rydberg states exist, the density of states becomes high
and the perturbations between these states are extremely complicated.
In this energy region, there are many dark states with relatively
short lifetimes due to the presence of the reaction processes such
as predissociation and autoionization. For example, spectroscopic
analysis of the nonfluorescent Rydberg states of the bromine molecule,
Br2, has been performed by Donovan et al.[11] They have analyzed the Rydberg series of 79Br2 using resonance-enhanced multiphoton ionization (REMPI) spectroscopy
and reported the spectra by monitoring 79Br2+ ions and 79Br+ ions. However,
the mechanism for production of Br+ has not been discussed.
The results show that the 79Br+ signal is dominant
in the Rydberg state with two-photon energy of around 76,000 cm–1, suggesting that dissociation occurs more efficiently
than in the other low-energy Rydberg states. Since the dissociation
limit of Br2 into Br*(5s, 4P5/2)
+ Br(4p, 2P3/2) is ∼79,331 cm–1 from the lowest rovibrational level of the X1Σg+ ground state,[12] the dissociation channel
to that limit might be observed from electronic states located in
this energy region.Rapid expansion of computational resources
in recent years has
made it possible to construct an overall picture of the potential
energy of relatively small molecules. In particular, high-precision
quantum chemical calculations of valence excited states, including
ion-pair states of halogen molecules with many electrons, have been
extensively performed, and calculation results with an accuracy satisfactorily
enough to reproduce experimental data have been reported.[13,14] However, quantum chemical calculations for highly excited levels,
such as Rydberg states, located in the high-energy region are still
challenging. One of the reasons that hinder the development of calculations
is the lack of experimental data to be compared with the calculation
results. In this respect, experimental investigations on the electronic
structure and reaction dynamics in the high-energy region would be
also indispensable for the future improvement of theoretical techniques.In the present work, the dissociation processes in the [2Π1/2]c5d; 0g+ and [2Π3/2]c6d; 0g+ Rydberg states at excitation energies of around 81,000 cm–1 were investigated using the velocity map imaging
(VMI) method.
Experimental Section
Experiments described
in this work have been performed with an
Eppink–Parker-type[7] velocity map
imaging (VMI) system. The schematic of the experimental setup is shown
in Figure . The apparatus
consists of two differentially pumped chambers, namely, for molecular
beam source and ionization/VMI detection. The source chamber is evacuated
by a 2400 L/s turbo molecular pump (Osaka Vacuum, TG2400F), while
the ionization/VMI chamber is equipped with an 1100 L/s turbo molecular
pump (Osaka Vacuum, TG1100F). Each turbo molecular pump was backed
up by 35 L/s scroll pumps (Edwards, XDS35i). The source chamber was
equipped with a pulsed valve (Parker-Hannifin, Series 9 with a 0.5
mm orifice) driven by an IOTA ONE controller. The ionization/VMI region
is installed with a homemade linear time-of-flight mass (TOF-MS) spectrometer
unit, which consisted of three stainless plates (repeller, extractor,
and ground).
Figure 1
Overview of the experimental setup.
Overview of the experimental setup.The Br2 vapor (∼2.3 kPa), purified
in a vacuum
condition, was diluted with He gas to prepare a gas mixture. The sample
gas mixture at a stagnation pressure of ∼2 MPa was pulsed out
into the chamber from a pulsed valve. Pressures in the chambers were
maintained at ∼10–3 and 10–5 Pa in the source and ionization/VMI regions, respectively, during
the measurements. The gas pulses with a duration of 190–200
μs were then collimated by a conical skimmer (Beam Dynamics,
1.0 mm orifice) located ∼15 cm from the valve. After ∼7
cm travel from the skimmer, the beams interacted with a laser pulse
and photoionized between a pair of electrodes.In this experiment,
a single UV wavelength served as both two-photon
excitation to the Rydberg states and subsequent one-photon ionization
of the fragments. A frequency-doubled output, by an auto tracking
system with a BBO crystal (Inrad Optics, Autotracker III), of the
dye lasers (Continuum, ND6000) pumped by the third harmonic output
of a Q-switched Nd3+:YAG laser (Continuum,
Surelite II) operating at 10 Hz was used as the excitation/ionization
light source. The UV laser power and pulse width were typically ∼0.05
mJ/pulse and ∼7 ns, respectively. UV laser pulse was focused
by an f = 170 mm lens and introduced at the interaction
region between the repeller and extractor electrodes in the VMI chamber.The product ions are collinearly accelerated by a DC electric field
into the 45 cm long flight region and detected by a chevron-type 42
mm imaging MCP detector (Hamamatsu Photonics, F2225 with P47 phosphor
screen). Using a timed voltage pulse (∼100 ns) with a homemade
high-voltage switch, the gain of the front MCP was gated to select
ions of one particular mass, thus yielding mass-selective images.
The 2D images on the phosphor screen are recorded by a CMOS camera
(Hamamatsu Photonics, ORCA-spark) and stored in a PC using image acquisition
and accumulation software (Hamamatsu Photonics, HiPic 9). Camera frames
were accumulated for 60,000 shots to form a scattering image. Corrections
for the radial distribution and translational energy of the fragment
ions were performed by acquiring a photodissociation image of O2 at around 225.655 nm.[15]
Results and Discussion
Excitation of the Rydberg States of Br2
Rydberg states of Br2 were excited from
the X1Σg+ ground state by one-color two-photon
absorption. Figure shows the mass spectrum obtained when the two-photon wavenumber
was adjusted to be ∼81,405 cm–1. The mass
peak group at around m/z = 160 was
attributed to Br2+, which has three isotopes, 79Br2, 79Br81Br, and 81Br2. Since the reduced masses of these isotopes
are almost the same, the transitions of 79Br81Br and 81Br2 overlap with those of 79Br2 within the laser linewidth. The mass peak group observed
at around m/z = 80 is attributed
to the Br+ signal.
Figure 2
Time-of-flight mass spectrum obtained when the
two-photon laser
energy was adjusted to be ∼81,405 cm–1.
Time-of-flight mass spectrum obtained when the
two-photon laser
energy was adjusted to be ∼81,405 cm–1.Figure shows the
(2 + 1) REMPI spectra, where the upper and lower traces are obtained
by monitoring 79Br2+ and 79Br+ mass channels, respectively. Four peaks are observed
in the 81,000–81,500 cm–1 region, which are
assigned to the transition to the [2Π1/2]c5d; 0g+ (ν = 0), [2Π3/2]c6d; 2g (ν = 2), [2Π3/2]c6d; 0g+ (ν = 2), and [2Π1/2]c5d; 0g+ (ν = 1) Rydberg states from the lower wavenumber side.[11] The Br2+ cation is undoubtedly
generated from the subsequent one-photon absorption after two-photon
excitation to the Rydberg state from the X1Σg+ ground
state, i.e.,
Figure 3
(2 + 1) REMPI spectra. The upper and lower parts
were obtained
by monitoring the 79Br2+ and 79Br+ mass channels, respectively.
(2 + 1) REMPI spectra. The upper and lower parts
were obtained
by monitoring the 79Br2+ and 79Br+ mass channels, respectively.Though the intensity ratios differ, the fact that
a similar REMPI
spectrum with the same transition wavenumbers is recorded when the 79Br+ mass channel was monitored indicates that
the dissociation of Br2 is occurring within the laser pulse
width in the Rydberg states. Although there are several possible processes
for the formation of Br+, the following process is most
likely in this study.
Velocity Map Images
The scattering
image of 79Br+ was acquired by applying a fast,
high-voltage pulse, ∼100 ns, which is much shorter than the
difference between 79Br+ and 81Br+ in the arrival time to the MCP. As mentioned before, the
transition wavenumbers of the three isotopes of Br2 are
very close to each other. At the transition wavenumbers used in this
study, the excitation of 79Br2 is dominant with
simultaneous minor contributions from 79Br81Br and 81Br2. Therefore, the ion image obtained
here is not only due to the dissociated fragment from pure 79Br2, although the interference of minor species is not
critical enough to hamper the derivation of parameters such as translational
energy. Figure a,b
shows the fragmented Br+ ion images obtained by the excitation
to the [2Π1/2]c5d; 0g+ (ν = 1)
and [2Π3/2]c6d; 0g+ (ν = 2)
Rydberg states, respectively. The left side of each picture is the
raw image, while the right side is the Abel-inverted image reconstructed
by the polar basis function expansion (pBASEX) method.[16] A broad signal was observed at the center of
the image in Figure . This signal centered at TKER ≈ 0 is thought to originate
from the dissociation of (Br2) clusters possibly produced in a supersonic jet, which is not the
main subject of this paper. In both Rydberg states, isotropic rings
(anisotropy parameter β ≈ 0) with two different kinetic
energies were observed (C1 and C2 in Figure ). The radial intensity distributions were
determined by integrating the obtained images over the entire angle,
as shown in Figure . The left side (a) of Figure corresponds to the [2Π1/2]c5d; 0g+ (ν = 1) state, and the right side (b) corresponds to the [2Π3/2]c6d; 0g+ (ν = 2) state. The solid
black traces correspond to the experimental total kinetic energy release
(TKER). The recoil energy was determined using the distance from the
center of the image to the ring corresponding to each dissociation
path and the time of flight for the detection of 79Br+ in the TOF-MS spectrum (Figure ).
Figure 4
Fragmented Br+ ion images obtained
by the excitation
to (a) [2Π1/2]c5d; 0g+ (ν = 1)
and (b) [2Π3/2]c6d; 0g+ (ν = 2)
Rydberg states. The left side of each image is the raw image, and
the right side is the Abel-inverted image reconstructed by the pBASEX
method.
Figure 5
Distributions of the total kinetic energy release of fragments
from the (a) [2Π1/2]c5d; 0g+ (ν = 1)
and (b) [2Π3/2]c6d; 0g+ (ν = 2)
Rydberg states. The blue dashed drop line represents the theoretical
TKER predicted from eq for the dissociation pathways of schemes (a) and (b).
Fragmented Br+ ion images obtained
by the excitation
to (a) [2Π1/2]c5d; 0g+ (ν = 1)
and (b) [2Π3/2]c6d; 0g+ (ν = 2)
Rydberg states. The left side of each image is the raw image, and
the right side is the Abel-inverted image reconstructed by the pBASEX
method.Distributions of the total kinetic energy release of fragments
from the (a) [2Π1/2]c5d; 0g+ (ν = 1)
and (b) [2Π3/2]c6d; 0g+ (ν = 2)
Rydberg states. The blue dashed drop line represents the theoretical
TKER predicted from eq for the dissociation pathways of schemes (a) and (b).TKER can be determined using the two-photon energy
used for excitation
to the Rydberg state, the binding energy D0diss (X),[17] and internal energy Eint in the X1Σg+ ground state of
the Br2 molecule, and the energy Eel of the electronic state of the excited Br atom correlated
to the dissociation limit as followsIn this study, the internal energy Eint is assumed to be zero because the experiment
was conducted under
supersonic jet-cooled conditions. The rotational temperature of Br2 in the molecular beam produced in this experiment is about
25 K (see Section ). The internal energy (rotational energy) at this temperature is
estimated to be approximately 9 cm–1 (∼10–3 eV), which is negligibly small. Each of the two observed
peaks can be well reproduced by the calculated values (vertical blue
dashed lines) assuming the following dissociation and ionization pathways.[12]The calculated kinetic energy of the
dissociated fragment from
the [2Π1/2]c5d; 0g+ (ν = 1)
state is 0.258 eV for Channel 1 and 0.0753 eV for Channel 2. For the
[2Π3/2]c6d; 0g+ (ν = 2) state, TKERs of
0.249 and 0.0664 eV are expected for C1 and C2, respectively. The
ionization energy of Br is IE(Br) = 95284.8 cm–1,[18] and the energies of
Br(5s, 4P3/2) and Br(5s, 4P5/2) from the ground state of Br(4p, 2P3/2) are
63436.5 and 64907.2 cm–1, respectively.[12] The one-photon energies of the UV laser are
40702.5 cm–1 for the excitation to [2Π1/2]c5d; 0g+, (ν = 1) and 40666.5 cm–1 for [2Π3/2]c6d; 0g+ (ν = 2),
which are sufficient for one-photon ionization of the Br(5s) atoms. Figure illustrates the
dissociation scheme of Br2 excited to the [2Π1/2]c5d; 0g+ and [2Π3/2]c6d; 0g+ Rydberg states. The two dissociation paths identified in
this study are energetically correlated to the lowest (5s, 4P5/2) and second-lowest (5s, 4P3/2) excited Rydberg configurations of Br atoms. The predissociation
limits correlating the ground state (4p, 2P3/2) and its spin-orbit excited state (4p, 2P1/2) are located in much lower energy regions and the laser wavelength
used in this study is insufficient for one-photon ionization from
4p, 2P3/2, and 2P1/2.
Therefore, even if the dissociation pathways to the lower energy limits
exist, it will not be observed in the ion images. However, since the
repulsive walls of the valence states are independent of the [2Π1/2]c5d; 0g+ and [2Π3/2]c6d; 0g+ Rydberg states and there is no avoided crossing,
such a dissociation process is unlikely to occur.
Figure 6
Diagram of the observed
predissociation pathways from the [2Π1/2]c5d; 0g+ (ν = 1) and [2Π3/2]c6d; 0g+ (ν = 2) Rydberg states.
Diagram of the observed
predissociation pathways from the [2Π1/2]c5d; 0g+ (ν = 1) and [2Π3/2]c6d; 0g+ (ν = 2) Rydberg states.
Mechanism of Predissociation from the Rydberg
States of Br2
The [2Π1/2]c5d; 0g+ and [2Π3/2]c6d; 0g+ Rydberg states
converge with the ground state of the ion core (X2Π1/2, 3/2 of Br2+) and exist in the region of shorter internuclear distances
than the ground state of neutral Br2. The 5s Rydberg states
correlated with the dissociation limit Br*(5s) + Br(4p) exist in the
lower-energy region. In general, the potential energy curves of the
Rydberg states are similar to each other, so in the region around
the equilibrium internuclear distance, the interaction of these lower
Rydberg states with the [2Π1/2]c5d; 0g+ and
[2Π3/2]c6d; 0g+ Rydberg states seems to be negligible.
However, the [2Π1/2]c5d; 0g+/[2Π3/2]c6d; 0g+ states may be connected with lower 0g+ Rydberg states
by a relay of the 0g+ ion-pair states, as shown in Figure . It is known that the higher vibrational
levels of the ion-pair states of halogen molecules interact with the
Rydberg states at a shorter internuclear distance. Kalemos et al.
reported several avoided crossings on the inner and outer part of
the E 0g+ (3P2) ion-pair state of I2 by ab initio multireference configuration interaction
methods.[19] Although the interaction of
the [2Π1/2]c5d; 0g+ and [2Π3/2]c6d; 0g+ Rydberg states with the ion-pair states
of Br2 has not been studied so far, the mixing of the ion-pair
and Rydberg states is a commonly observed phenomenon.[20] In Figure , the potential of the [2Π1/2]c5d; 0g+ Rydberg
state is drawn using the parameter of the X2Π1/2 state of Br2+ cation.[21] Although there may be several Rydberg states
correlated to Br*(5s) + Br(4p), only the 5s; 0g+ Rydberg state is illustrated
with a blue curve to avoid complexity. Br2 has four 0g+ ion-pair states: E 0g+ (3P2), f 0g+ (3P0), f′ 0g+ (1D2), and 0g+ (1S0). Among them,
the 0g+ (1S0) state has not been observed experimentally
while ab initio calculation estimates its location
in an energy region about 79,000 cm–1 above the X1Σg+ ground state.[22] Since the ion-pair states have a longer internuclear distance than
the Rydberg states, the interaction of the [2Π1/2]c5d; 0g+/[2Π3/2]c6d; 0g+ states
with the 0g+ (1S0) state is unlikely. The potential minima
of the E 0g+ (3P2), f 0g+ (3P0), and f′ 0g+ (1D2) states are located at ∼49,777.9, ∼53,101.7,
and ∼65,512.0 cm–1 from the ground state,
respectively, which are lower than the energy region surveyed in this
study. The highly vibrational levels of these ion-pair states have
not been experimentally investigated, and an accurate potential energy
curve cannot be drawn over a wide range of internuclear distances.
Therefore, in the potential energy curves shown in Figure , the RKR potential was adopted
for the experimentally investigated region (near the potential minimum)
and the inner potential wall was adjusted to reproduce the RKR potential
in the low-energy region based on the results of ab initio calculation.[22] Since the potential energy
curves of the ion-pair states have similar shapes to each other, we
referred to the known parameters of the D 0u+ (3P2) state of Br2 for the long-range Coulomb potential
dominating the outer branch of the ion-pair potential energy curves.[23] As a result, the E 0g+ (3P2) state intersects the asymptotes to the dissociation limits
observed in the current experiment, Br*(5s, 4P5/2, 3/2) + Br(4p, 2P3/2), at ∼38 and ∼26
Å, respectively. The f 0g+ (3P0) states
intersect the asymptote at ∼18 and ∼15 Å and at
∼8 and ∼7 Å for the f′
0g+ (1D2) state, respectively.
Figure 7
Schematic potential energy curves related
to the predissociation
pathways through the ion-pair state and lower and/or excited-core
Rydberg states. The Br2 molecule in the [2Π1/2]c5d; 0g+ and [2Π3/2]c6d; 0g+ Rydberg states passes through the avoided crossing and transfers
to the ion-pair state. Then, the molecule dissociates after passing
through the second avoided crossing with the lower or excited-core
Rydberg states at the longer internuclear distances.
Schematic potential energy curves related
to the predissociation
pathways through the ion-pair state and lower and/or excited-core
Rydberg states. The Br2 molecule in the [2Π1/2]c5d; 0g+ and [2Π3/2]c6d; 0g+ Rydberg states passes through the avoided crossing and transfers
to the ion-pair state. Then, the molecule dissociates after passing
through the second avoided crossing with the lower or excited-core
Rydberg states at the longer internuclear distances.On the other hand, it is known that halogen molecules
have shallow
Rydberg states (excited-core Rydberg states) in the long internuclear
distance region. For example, the [2Σu,1/2+]c6s; 0u+ and
[4Σu,1/2–]c6s; 0u+ states of the I2 molecule, correlated
with the I(2P3/2) + I*(6s, 4P3/2) and I(2P3/2) + I*(6s, 4P5/2) dissociation limits, respectively, have been identified
as an excited-core Rydberg state by the optical-triple resonance spectroscopy via the ion-pair states.[24,25] Although no
spectroscopic analysis of such shallow Rydberg states is currently
available for the Br2 molecule, the shallow excited-core
0g+ Rydberg
states may exist in the same energy region as the [2Π1/2]c5d; 0g+ and [2Π3/2]c6d; 0g+ Rydberg states. The energetic positional relationship and structure
of the electronic state of Br2 are very similar to those
of I2. For various valence, Rydberg, and ion-pair states,
the I2 potential agrees well with the Br2 potential
if the energy is multiplied by a factor of 1.135 and the internuclear
distance by a factor of 0.86 relative to the ground-state dissociation
limit. The excited-core Rydberg state of Br2 in Figure is drawn by modifying
the potential curves reported for I2. While the Br2 molecule is most likely to dissociate via the Rydberg ion-pair perturbation at the inner wall as discussed
earlier, the possibility of the ion-pair-excited-core Rydberg and/or
ion-pair-lower Rydberg perturbation at the relatively longer internuclear
distances may not be discriminated. There seems to be no significant
difference in the intensity ratios of C1 and C2, C2/C1, of 0.45 ±
0.05 and 0.31 ± 0.21 for the [2Π1/2]c5d; 0g+ and [2Π3/2]c6d; 0g+ states, respectively.
The value of C2/C1 may be correlated to the magnitude of the interactions
between the intermediate ion-pair state and the excited-core states;
similar intensity ratios for the [2Π1/2]c5d; 0g+ and [2Π3/2]c6d; 0g+ states may imply
the presence of an identical dissociation mechanism.Next, we
discuss the anisotropy of the obtained scattering distribution.
As mentioned above, two isotropic rings, corresponding to dissociation
paths (6a) and (6b) with different kinetic energies, were observed
clearly in the experimental images. Since the rotational constants
of the [2Π1/2]c5d; 0g+ and [2Π3/2]c6d; 0g+ Rydberg states have not been reported,
the rotational contours of the REMPI spectra were analyzed by the
Pgopher program,[26] assuming the same rotational
constant as the [2Π3/2]c4d;
1g Rydberg state.[27] The rotational
temperature was found to be about 25 K. Assuming Boltzmann distribution
at this rotational temperature, the rotational quantum number Jmax, giving the maximum population, is estimated
to be about 10. Thus, the rotational period of a molecule in the Rydberg
states shall be presumed to be approximately 20 ps at J = 10. On the other hand, an obvious line broadening in the rotational
contour of the REMPI spectrum was seen. The linewidth of the dye laser
used in the experiment, determined from the measurement of the fringe
pattern of a Fabry–Perot Étalon, was ∼0.15 cm–1 for the fundamental (visible) output. Considering
that the linewidth increases by a factor of √2 upon second
harmonics generation, the resolution of the spectrum is expected to
be about 0.21 cm–1. Assuming this laser linewidth,
the homogeneous width (lifetime width) estimated from the profile
simulation is ∼0.5 cm–1, which corresponds
to 10 ps for the lifetime of the excited states. Therefore, in the
[2Π1/2]c5d; 0g+ and [2Π3/2]c6d; 0g+ Rydberg states, the predissociation process
proceeds on a time scale comparable to or shorter than the rotational
period. In such cases, the angular distribution of fragments is expected
to show anisotropic behavior. In general, in photodissociation of
diatomic molecules, should the molecule rotate before dissociation,
the degree of correlation between the electric field vector of the
light and the fragment recoil direction will be lowered but not completely
to zero. The limiting values for anisotropy parameters for parallel
and perpendicular transitions are β|| = 0.5 and β⊥ = −0.25, respectively.[8] Therefore, the isotropy of the observed images in the present work
cannot be interpreted from the perspective of the lifetime of the
excited state. One possible explanation for the isotropic pattern
in Figure despite
the short lifetime in the Rydberg state is that two-photon absorption
occurs through the inner walls of various valence states lying in
the one-photon energy region. Current experiments do not allow us
to confirm whether the two-photon excitation to the Rydberg state
occurs under nonresonance or via a sequence of two
steps. In the latter case, Ω = 0u+ or 1u valence states can
behave as intermediate states. Dixon derived expressions for recoil
anisotropy following multiphoton processes via near-resonant
intermediate states.[28] In ref (28), the disappearance of
anisotropy in the final state distribution due to multiple competing
pathways is discussed as follows. The transition from the X1Σg+ ground state to the 0u+ intermediate state has Σ
→ Σ-type anisotropy (cos2 θ),
while the transition to the 1u intermediate state has Σ
→ Π-type anisotropy (sin2 θ).
According to his theoretical approach, the fragment image from the
Rydberg state excited via a single Ω = 0u+ or 1u valence state should show anisotropy. However, if they contribute
with equal amplitude and sign, then the intermediate molecules produced
by one-photon absorption are isotropic distributed (β = 0).
Furthermore, if the Rydberg state is produced by one-photon absorption
from that intermediate state, the distribution will be isotropic as
well. Ab initio calculations[29] have revealed the existence of repulsive walls of various valence
states of Br2 in the one-photon energy region in this experiment,
and indeed, the corresponding weak absorption has been observed.[30] The presence of such valence states may be responsible
for the isotropy of fragments produced by the predissociation in the
Rydberg state. In this study, we have not observed a direct dissociation
process in the valence states following one-photon absorption, but
dissociative fragments in the one-photon energy region have been observed
upon Rydberg state excitation of the iodine molecule. A similar excitation/predissociation
scheme may apply for the Rydberg state of Br2.[31,32]Another possibility is the involvement of relatively long-lived
(∼ns) ion-pair states in the dissociation pathway. It is possible
that dissociating molecules are trapped in the bound state for longer
than the rotational period, resulting in the loss of anisotropy of
the final fragments.
Conclusions
In this study, velocity
map imaging of the charged photofragments
technique was applied to study the predissociation dynamics in the
[2Π1/2]c5d; 0g+ and [2Π3/2]c6d; 0g+ Rydberg states of Br2. For each
Rydberg state, two isotropic fragment images with different kinetic
energies were observed. Analysis of the distribution of the total
kinetic energy release indicates that these two dissociation paths
originate from the predissociation paths of Br2(Ry) →
Br*(5s, 4P5/2) + Br(4p, 2P3/2) and Br2(Ry) → Br*(5s, 4P3/2) + Br(4p, 2P3/2). These dissociation processes
are thought to be mediated by the 0g+ ion-pair and lower and/or excited-core Rydberg
states, which are expected to exist at longer internuclear distances.
According to the analysis of REMPI spectra, the lifetime of the excited
Rydberg state is about 10 ps, which is comparable to or shorter than
the rotational period of the excited molecule. It can be interpreted
that two-photon excitation is a sequential process via repulsive walls of various valence states, and the anisotropy is
averaged out, resulting in an isotropic fragment image. The analysis
of perturbations between the ion-pair states and the Rydberg states
and collaboration with theoretical researchers will be necessary to
further investigate the predissociation dynamics of the Rydberg states
of Br2.
Authors: Alexandr S Bogomolov; Barbara Grüner; Sergei A Kochubei; Marcel Mudrich; Alexey V Baklanov Journal: J Chem Phys Date: 2014-03-28 Impact factor: 3.488
Authors: J von Vangerow; A S Bogomolov; N V Dozmorov; D Schomas; F Stienkemeier; A V Baklanov; M Mudrich Journal: Phys Chem Chem Phys Date: 2016-06-29 Impact factor: 3.676
Authors: José da Silva Gomes; Ricardo Gargano; João B L Martins; Luiz Guilherme M de Macedo Journal: J Phys Chem A Date: 2014-05-19 Impact factor: 2.781