The dissociation of C2F6 following electron ionization at 100 eV has been studied using multimass velocity-map ion imaging and covariance-map imaging analysis. Single ionization events form parent C2F6+ cations in an ensemble of electronic states, which follow a multiplex of relaxation pathways to eventually dissociate into ionic and neutral fragment products. We observe CF3+, CF2+, CF+, C+, F+, C2F5+, C2F4+, C2F2+, and C2F+ ions, all of which can reasonably be formed from singly charged parent ions. Dissociation along the C-C bond typically forms slow-moving, internally excited products, whereas C-F bond cleavage is rapid and impulsive. Dissociation from the à state of the cation preferentially forms C2F5+ and neutral F along a purely repulsive surface. No other electronic state of the ion will form this product pair at the electron energies studied in this work, nor do we observe any crossing onto this surface from higher-lying states of the parent ion. Multiply charged dissociative pathways are also explored, and we note characteristic high kinetic energy release channels due to Coulombic repulsion between charged fragments. The most abundant ion pair we observe is (CF2+, CF+), and we also observe ion pair signals in the covariance maps associated with almost all possible C-C bond cleavage products as well as between F+ and each of CF3+, CF2+, CF+, and C+. No covariance between F+ and C2F5+ is observed, implying that any C2F5+ formed with F+ is unstable and undergoes secondary fragmentation. Dissociation of multiply charged parent ions occurs via a number of mechanisms, details of which are revealed by recoil-frame covariance-map imaging.
The dissociation of C2F6 following electron ionization at 100 eV has been studied using multimass velocity-map ion imaging and covariance-map imaging analysis. Single ionization events form parent C2F6+ cations in an ensemble of electronic states, which follow a multiplex of relaxation pathways to eventually dissociate into ionic and neutral fragment products. We observe CF3+, CF2+, CF+, C+, F+, C2F5+, C2F4+, C2F2+, and C2F+ ions, all of which can reasonably be formed from singly charged parent ions. Dissociation along the C-C bond typically forms slow-moving, internally excited products, whereas C-F bond cleavage is rapid and impulsive. Dissociation from the à state of the cation preferentially forms C2F5+ and neutral F along a purely repulsive surface. No other electronic state of the ion will form this product pair at the electron energies studied in this work, nor do we observe any crossing onto this surface from higher-lying states of the parent ion. Multiply charged dissociative pathways are also explored, and we note characteristic high kinetic energy release channels due to Coulombic repulsion between charged fragments. The most abundant ion pair we observe is (CF2+, CF+), and we also observe ion pair signals in the covariance maps associated with almost all possible C-C bond cleavage products as well as between F+ and each of CF3+, CF2+, CF+, and C+. No covariance between F+ and C2F5+ is observed, implying that any C2F5+ formed with F+ is unstable and undergoes secondary fragmentation. Dissociation of multiply charged parent ions occurs via a number of mechanisms, details of which are revealed by recoil-frame covariance-map imaging.
Electron ionization is a fundamental collision
process that underpins
the chemistry of a myriad of terrestrial and extraterrestrial environments.[1] It is prevalent in the formation of plasmas,[2] interstellar gas clouds,[3,4] and
terrestrial atmospheric processes[5,6] and is at least
partly responsible for radiative damage to biological tissue.[7] Commonly, electron ionization is followed by
fragmentation from either a dissociative state or a bound state of
the parent molecular cation. The dynamics of these processes can influence
the fragment product outcomes and can impact the ability to react
further. Electron-ionization-driven chemistry has been shown to be
important in gas-phase ion–molecule[4,5,8−10] and dust-grain-surface-catalyzed
reactions.[11]Hexafluoroethane (C2F6) is widely used in
the semiconductor fabrication industry as a dry-etching agent[12] as well as in the enrichment of carbon-13.[13] C2F6 is a potent greenhouse
gas. It has an atmospheric lifetime greater than 2000 years[14] and a 100 year global warming potential (GWP)
of 11 500 (compared to CO2, which has a GWP of 1).[15] Thus, the use and emission of C2F6, along with other perfluorocarbons, is strictly regulated
under the Kyoto Protocol agreement.[16] C2F6 in the ionosphere is routinely bombarded with
high-energy electrons and photons, which can lead to molecular dissociation
and subsequently the formation of ions and radicals.[17] These dissociation products may go on to react further.
To simulate the chemistry of the ionosphere of Earth and other planets,
modelers rely on a multiplex of reaction kinetic information, including
knowledge of secondary or tertiary byproducts of atmospheric chemical
processes. Accurate modeling of C2F6 in the
atmosphere requires understanding of the various dissociation channels
available when the molecule is subjected to electron collisions.The earliest reported dissociative ionization experiments on C2F6 were published by Bibby and Carter in 1963.[18] As well as reported relative abundances of CF3+, C2F5+, CF2+, and CF+ ions following electron ionization
at 35 eV, they also noted the formation of C2F3+ ions, which have not been observed in subsequent experiments.
Lifshitz and Long reported relative abundances of these same product
ions as well as appearance potentials for CF3+ and C2F5+ following 70 eV ionization
of C2F6.[19] These
results were compared with Rice–Ramsperger–Kassel–Marcus
(RRKM)[20] calculations, which revealed that
the C2F5+:CF3+ ratio was underpredicted by theory. Both of these early papers report
the absence of a signal for the parent cation C2F6+, prompting Lifshitz and Long to suggest that the direct
dissociation must occur from an electronically excited state of the
cation, outcompeting redistribution of the excess electronic energy
into vibrational motion.This violation of the statistical theory
generally used to describe
the dissociation of molecular ions was confirmed by Simm et al., who
recorded the photoelectron–photoion coincidence (PEPICO) spectrum
of C2F6 following photoionization at 21.22 eV.[21−23] Simm and co-workers showed that CF3+ product
ions are exclusively formed from the ground electronic (X̃)
state, whereas C2F5+ ions are formed
from the first electronically excited (Ã) state of the cation.
They also demonstrated that excited states above the à band
(within the energy range studied) predominately form CF3+, providing clear evidence that the à state is
isolated from any curve crossing points, and thus that parent ions
formed in this state dissociate without any possibility of internal
conversion.Inghram et al. recorded breakdown curves for the
C2F6+ ion in the energy range 14.14–18.64
eV
using threshold PEPICO spectoscopy, reaffirming the existence of the
isolated à state.[24] They proposed
that dissociation of the parent ion occurs on a time scale of less
than 500 fs, comparable to the vibrational period of a C–F
bond. The dynamics of dissociation was reported by Jarvis et al.[25] using threshold PEPICO spectroscopy in the photon
energy range 12–25 eV, confirming that the fragmentation was
largely impulsive within this energy range.The partial ionization
cross sections for the formation of specific
fragment ions of C2F6 following electron ionization
have been reported numerous times in the literature,[26−30] spanning energies from threshold up to 1000 eV. Among these reports,
the most pertinent to this study is from the doctoral thesis of S.-J.
King,[29] who studied the dissociation of
C2F6 (n = 1–3) following electron ionization between 30
and 200 eV via two-dimensional ion-coincidence spectroscopy. To our
knowledge, this thesis reports the only study of the dynamics of the
C2F6 dication (which accounts for almost 20%
of total ion signal at 100 eV) and also reports partial ionization
cross sections (30–200 eV) for single, double, and triple ionization
events as well as coincident cross sections for the full suite of
ion pairs and Monte Carlo-simulated total kinetic energy (KE) releases
for dissociation of the parent di- and trication.Doubly ionized
molecules have emerged over the last two decades
as potentially under-reported products of ionization events.[31−33] Dications can generally be considered to be thermodynamically unstable
in the gas phase. Their potential energy surfaces are often repulsive
in nature because of many factors, including loss of bonding electrons
as well as intramolecular Coulombic repulsion in charge-separated
species. Dissociation of these highly energized ions is synonymous
with high KE release in the daughter fragments. However, thermodynamically
stable (e.g., OCS2+)[34] and other
metastable dication species are formed in multiple-ionization events,
even for small molecules such as N22+ and O22+.[35] Stable dications
have been applied in ion–molecule collision experiments.[36−38]Recently we have begun to explore the dissociation dynamics
of
multiply charged ions[35,39−42] by using multimass velocity-map
ion imaging (VMI) to record scattering distributions for all ionic
products of electron ionization (EI) within a single measurement.[40,41] The predominant outcome from an electron–molecule collision
that leads to ionization is the formation of a singly charged parent
ion. However, some proportion of collisions will create multiply charged
ions via either an Auger cascade or a secondary collision of one of
the departing electrons with another bound electron.[43,44]For systems with multiple fragmentation pathways, it is a
challenge
to disentangle the dynamics of ions born from a multiply charged parent
from that of ions formed from their singly charged counterpart. Any
ion signal arising from fragmentation of a dication into two or more
singly charged daughter ions invariably overlaps with signals arising
from the dominant singly charged channels. Our approach to resolving
the dynamics of multiply charged ions is to employ covariance analysis,[40−42,45,46] a statistical method that reveals correlations between fragments
even in the presence of much larger signals from uncorrelated events.
The correlations of greatest interest to us are between product ion
time-of-flight (TOF) spectra and product pair recoil velocities.In the present work, we report results from a recent study of the
electron-induced dissociation dynamics of C2F6 at an electron energy of 100 eV using an electron–molecule
crossed-beam experiment with multimass velocity-map imaging detection.
The data from these experiments provides insight into both singly
and doubly charged dissociation channels within a single measurement,
enabling a comprehensive exploration of the complex dynamics initiated
by electron ionization of C2F6.
Methods
Experimental Section
The electron–molecule crossed-beam
apparatus has been described in detail elsewhere.[46,47] Briefly, a neat sample of C2F6 is pulsed into
a high-vacuum chamber via a General Valve series 9 solenoid valve
operating at 25 Hz. The resulting supersonic expansion is skimmed,
and the skimmed molecular beam passes into the interaction region
of a conventional velocity-map imaging ion optics arrangement[48] interfaced with a TOF mass spectrometer. An
electron gun (PSP Vacuum Technology, ELS100) outputs a 360 ns pulse
of electrons with a kinetic energy of 100 eV (ΔE = 150 meV) that crosses the molecular beam at right angles. Once
the electron beam passes through the interaction region, the repeller
and extractor plates are rapidly switched from ground to velocity
mapping potentials. Any ions formed are separated according to their
mass to charge (m/z) ratio as they
traverse the 240 mm flight tube before striking a position-sensitive
detector (diameter = 40 mm) consisting of a pair of chevron-mounted
microchannel plates and a P47 phosphor screen. The light emitted from
the phosphor is imaged using a pixel-imaging mass spectrometry (PImMS)
camera,[49] which records (x, y, t) coordinates
for each ion strike with 25 ns resolution. Signal and background data
sets are recorded over 750 000 experimental cycles each. In
the “background” cycles, the electron pulse is timed
to arrive at the interaction region before the molecular beam, while
in the “signal” cycles, the relative timings of the
two pulses are adjusted for optimum overlap. The resulting data set
can be integrated over the x and y coordinates to obtain a TOF mass spectrum, and two-dimensional crushed
velocity-map images of the product scattering distributions for each
detected ion are obtained by integrating over the appropriate arrival
time intervals. TOF spectra are also obtained independently by measuring
the total (time-dependent) signal from the phosphor screen using a
photomultiplier tube coupled to an oscilloscope.
Data Analysis
A centroiding algorithm[50] is employed to reduce individual ion strikes to a single
pixel in position and time. Centroided velocity-map images are symmetrized,
and the central slice of the three-dimensional scattering distribution
is obtained via an Abel inversion using the BASEX algorithm within
the PyAbel package.[51] An angular integration
is then carried out to obtain radial distributions, which are then
converted from pixels into kinetic energy using a velocity calibration
determined via ion trajectory simulations performed in SIMION 8.0.[52]Centroided images are also subjected to
covariance analysis in order to identify correlated TOF and velocity
distributions for pairs of ions. Briefly, covariance is a general
statistical method that is used to determine correlations between
two variables, in this instance, the arrival time or velocity of two
ions of interest. True covariances are seen only between two product
ions formed from the same parent ion, and thus, only dissociation
events involving multiply charged ions will contribute to the covariance
signal, i.e., the analysis is blind to signals arising from dissociation
of singly charged ions, which account for a significant majority of
the total signal. The principles of covariance in the context of mass
spectrometry were originally outlined by Frasinski et al.[53] for high-count-rate experiments, which are not
compatible with coincidence measurements. More recently, covariance
analysis has been applied to data from velocity-map imaging experiments.[40,41,54] Mathematically, the covariance
between two variables X and Y is
defined as the average of the product of the deviations of these quantities
from their respective mean values:where ⟨···⟩ denotes
an average over experimental cycles. If an increase in X tends to correspond to an increase in Y, then the
covariance will be positive. In our case, X and Y are either the arrival times (t) or the
(x, y) coordinates of two
ions.To account for variation in signal due to fluctuating
experimental
parameters, we apply a corrected form of covariance, termed “partial
covariance”, which is described in detail elsewhere.[40] This correction is given by the following equation:where I is a variable that
accounts for the varying experimental parameters such as molecular
beam density and/or electron beam current. In the present work, rather
than continuously monitoring the beam intensities, we use the fact
that the signal depends linearly on both and take I to be the total ion signal recorded during each experimental cycle.
In practice, we take a rolling average of the total ion signal over
20 s in order to smooth out shot-to-shot fluctuations.In the
present work, we utilize two forms of partial covariance:
TOF–TOF covariance, which shows the correlation between the
arrival times of different ions, and recoil-frame covariance, which
correlates the relative velocity vectors of two ions.
Results and Discussion
The TOF mass spectrum of C2F6 recorded at
an electron energy of 100 eV is shown in Figure . The fragment signals observed are in reasonable
agreement with those reported in the National Institute of Standards
and Technology electron ionization database at 75 eV[55] as well as those reported by King for ionization at 200
eV.[29] The most abundant fragments are CF3+ and C2F5+, followed
by CF+ and then CF2+. We see no signal
attributable to intact parent C2F6+ cation. We do see subtle yet clear evidence for the formation of
C2F4+, C2F2+, and C2F+ as well as the doubly
charged fragments CF22+ and CF2+.
Any potential signal arising from CF32+ (m/z = 34.5) appears to be masked by the
CF+ (m/z = 31) peak.
The doubly charged ions CF32+ and CF22+ are known to be stable on the microsecond time scale
of our experiments and are readily formed from double ionization of
CF4.[32,37]
Figure 1
Time-of-flight mass spectrum for the products
of 100 eV electron
impact ionization of C2F6.
Time-of-flight mass spectrum for the products
of 100 eV electron
impact ionization of C2F6.
Velocity-Map Ion Images
Figure shows symmetrized and Abel-inverted velocity-map
images for the CF+ ions (C+, CF+, CF2+, and CF3+), together with their corresponding kinetic energy distributions.
The KE plots show a generally bimodal distribution; each fragment
(except C+) features a low-KE-release channel peaking at
0 eV as well as a higher-KE component attributable to dissociation
of a multiply ionized parent molecule. The high-KE channel increases
in intensity relative to the low-KE peak as the CF+ fragment loses F atoms. Fragmentation from multiply
charged parent ions will be discussed in detail separately in a later
section, and we will focus for now on the dissociation products of
singly charged parent ions.
Figure 2
Symmetrized and inverted scattering distributions
for (a) CF3+, (b) CF2+, (c) CF+, and (d) C+ following 100 eV electron
ionization and
the corresponding kinetic energy distributions for each fragment product.
Image intensities are plotted on a logarithmic scale to assist in
visualizing weaker features.
Symmetrized and inverted scattering distributions
for (a) CF3+, (b) CF2+, (c) CF+, and (d) C+ following 100 eV electron
ionization and
the corresponding kinetic energy distributions for each fragment product.
Image intensities are plotted on a logarithmic scale to assist in
visualizing weaker features.Electron ionization at the energies of interest
can be considered
a ballistic process. An incident electron collides with a bound electron
within the molecule, leading to ionization and the formation of an
electron hole. The vast majority of the collision energy is carried
away by the departing electrons, and the very short time scale (tens
to hundreds of attoseconds) of the encounter means that little or
no energy is tranferred into the nuclear framework during the collision.
The subsequent nuclear dynamics is therefore governed by the response
of the nuclear framework to the sudden appearance of the electron
hole formed in the collision.[56,57]The low-KE Boltzmann-like
distributions of the CF+ ions
are indicative of the dissociation of a highly
vibrationally excited parent ion in a bound or metastable electronic
state.[56] These dissociative processes typically
occur over a relatively long time scale, such that geometric relaxation
and vibrational energy transfer are competitive with dissociation.
This allows statistical distribution of energy over the energetically
accessible internal vibrational states of the cation prior to dissociation,[58] with dissociation occurring once sufficient
energy becomes available in a mode coupled to the appropriate reaction
coordinate.The low-energy component of the KE distribution
becomes broader,
extending to higher KE, as the number of F atoms remaining on the
carbon atom decreases. This is attributable to the loss of neutral
fluorine atoms in concert with the dissociation of the carbon–carbon
bond. If the C–F bond breaks prior to the C–C bond,
then as a result of the reduction in mass, the observed CF+ (n < 3) fragment
is likely to be born with a broader velocity (and therefore KE) distribution,
peaking at somewhat higher velocities. The formation of vibrationally
excited CF+ fragments can
also result in the loss of fluorine. Impulsive dissociation along
the C–C bond axis may excite vibrational motion in the departing
fragments and subsequent loss of one or more F atoms.Figure shows symmetrized
and Abel-inverted velocity-map images of F+ and C2F5+, accompanied by their respective KE distributions.
Fluorine ion (m/z = 19) images contain
appreciable contamination from background water (m/z = 18) in our experimental apparatus, but this
is localized largely along the center of the image along the electron
beam path. Despite this contamination, a broad isotropic scattering
distribution peaking at high KE (around 5 eV) can be clearly resolved.
The appearance energy for the formation of F+ from C2F6 is around 35 eV, as reported by Iga et al.,[27] and approximately coincides with the onset of
double ionization, as reported by King.[29] The breadth of the KE distribution perhaps implies the formation
of F+ via a number of dissociation channels, but the high
KEs indicate that all involve multiply charged parent ions. We therefore
defer any further discussion of F+ formation to the later
sections in which we probe such channels via covariance analysis.
Figure 3
Symmetrized
and inverted scattering distributions for (a) F+ and (b)
C2F5+ following
100 eV ionization and the corresponding kinetic energy distributions
for each fragment product. Image intensities are plotted on a logarithmic
scale.
Symmetrized
and inverted scattering distributions for (a) F+ and (b)
C2F5+ following
100 eV ionization and the corresponding kinetic energy distributions
for each fragment product. Image intensities are plotted on a logarithmic
scale.Loss of neutral F atom leads to the formation of
C2F5+ ions with kinetic energy peaking
away from zero,
at 0.13 eV. This is characteristic of prompt dissociation from a repulsive
surface rather than the more Boltzmann-like statistical kinetic energy
distribution we observe for breaking of the C–C bond of the
singly charged parent ion. Stockbauer and co-workers[24] noted that the onset energy for the formation of C2F5+ ion is within the experimental uncertainty
of the onset of the à state of the ion (17.5 eV). The observed
nonstatistical KE release is consistent with the formation of C2F5+ directly from the à state
without internal conversion. Simm et al.[22] assigned this state to ionization of a lone-pair orbital on the
fluorine atom, creating a vacancy that is rapidly refilled by electron
transfer from a C–F bonding orbital, ultimately leading to
C–F bond cleavage and the formation of stable C2F5+ and neutral fluorine. Photoionization studies
on C2F6 show a very narrow window for the formation
of C2F5+ ions from approximaitely
15 to 18 eV.[21,22,24] Despite this narrowly accessible energy range, C2F5+ is our second most abundant fragment product
because of the sixfold degeneracy of the C–F bond. Outside
of this range, C–C bond cleavage is the overwhelmingly dominant
process. We observe no other contributing channel to the formation
of C2F5+, supporting the hypothesis
that the à state of the parent ion is entirely isolated from
any crossing point, at least at the energies accessed in the present
study.The fragment products C2F4+, C2F2+, and C2F+ do
not exhibit the same purely impulsive dissociation dynamics as C2F5+ (see the Supporting Information). C2F4+ has a
close to statistical KE distribution centered around 0 eV, whereas
C2F2+ and C2F+ show a mixture of both low- and high-KE channels, synonymous with
formation from multiple ionization states of the parent molecule.
King reported that up to 90% of C2F+ (n = 1, 2, 4) is formed from
singly charged parent ion at 100 eV,[29] whereas
singly charged parent ions account for only 80% of the ion yield at
this energy.
Time-of-Flight Covariance Maps
We now move on to consider
fragmentation pathways involving multiply charged parent ions. Figure shows the TOF–TOF
partial covariance map for the products of 100 eV electron ionization
of C2F6. The signal along the diagonal corresponds
to the variance of the TOF spectrum, and off-diagonal elements indicate
covariances between arrival times of various ions. The gradient of
off-diagonal features is determined by the ion momenta and therefore
depends on the ion masses and charges and the mechanism of dissociation,
as discussed in detail previously.[41,59,60] For example, two-body dissociations (e.g., CF3+ + CF3+) are characterized
by a slope of −1 as a result of conservation of momentum. In
this case the two ions will have equal and opposite momentum components
along the TOF axis, with one ion arriving slightly earlier than the
peak in the arrival time distribution for that ion and the other arriving
slightly later. This difference in arrival time is proportional to
the ion momenta along the TOF axis, and this yields a gradient of
−1 for all of the matched pairs in the covariance map. More
complex many-body mechanisms change or blur the gradient of any off-diagonal
feature. We also observe a number of small signals corresponding to
impossible (or “false”) covariances, for example, between
C2F5+ and various CF+ fragments, which are the result of imperfect
performance of the partial covariance correction. False covariances
are characterized by an off-diagonal postive covariance feature with
slope of +1, often surrounded by a negative covariance signal along
the slope of −1, whereas true covariances appear as off-diagonal
signals with positive intensity and a negative gradient. False covariance
may also be confirmed by checking the corresponding recoil-frame covariance
maps, as discussed later.
Figure 4
TOF–TOF covariance map for the dissociative
electron ionization
products of C2F6 recorded at an electron energy
of 100 eV.
TOF–TOF covariance map for the dissociative
electron ionization
products of C2F6 recorded at an electron energy
of 100 eV.We observe many “true” positive covariance
features
between ions formed via C–C bond cleavage. In agreement with
King,[29] the most intense product ion pair
is (CF2+, CF2+), followed
by (CF3+, CF+). We see covariances
between all C–C bond cleavage products at 100 eV. Based on
the observed gradients of the covariance signals, these dissociations
all appear to be “pseudo-two-body” in mechanism, with
the departing F atom recoil imparting a less significant momentum
“kick” than the charge separation step.F+ covariances include the ion pairs (F+,
CF+) and (F+, CF2+) as
well as weaker features (see the Supporting Information) corresponding to (F+, CF3+), (F+, C2F+), (F+, CF22+), and (F+, C+). We see no identifiable
signal from the (F+, C2F5+) ion pair. A rationalization for this null result is discussed in
detail later.While it is possible to elucidate some details
of the dissociation
mechanisms from the TOF–TOF covariance map, our relatively
low TOF resolution limits the extent to which we are able to determine
the gradient of signals arising from more complicated dissociation
channels. In the following section, we will demonstrate that covariances
between ion velocities, in the form of recoil-frame covariance maps,
produce more sophisticated and intuitive insights into the mechanism
of dissociation.
Recoil-Frame Covariance Maps
Figure shows the recoil-frame partial covariance
maps for ion pairs formed from the dissociation of multiply ionized
C2F6 along the C–C bond coordinate. For
each ion pair (A+, B+), we assign one of the
ions to be the “signal” ion and the other to be the
“reference” ion. The reference ion velocity is constrained
to lie along the positive x axis, indicated by the
white arrows in Figure , and the covariance map shows the directions in which signal ions
are scattered relative to this reference direction. For each ion pair,
we display both permutations of the signal and reference. Figure a shows the covariance
map for the (CF3+, CF3+) ion pair. This ion pair is formed via a simple two-body dissociation,
in which conservation of momentum requires that the two products recoil
in opposite directions with equal and opposite momenta. This results
in a covariance map in which the covariance signal from the signal
ion appears as a well-defined spot along the reference axis with a
radius equal to that of the outer ring in the corresponding velocity
map image (see Figure , image (a)). The center of image (a) in Figure contains considerable noise due to false
covariances arising from CF3+ ions formed from
singly charged parent ions within the same experimental cycle, which
are formed in such large quantities that they are imperfectly canceled
by the partial covariance correction.
Figure 5
Recoil-frame partial covariance images
for the ion pairs (S+, R+) formed via C–C
bond cleavage in the
100 eV dissociative electron ionization of C2F6, where S+ is the signal ion and R+ is the
reference ion: (a) (CF3+, CF3+); (b) (CF2+, CF3+); (c) (CF+, CF3+); (d) (CF3+, CF2+); (e) (CF2+, CF2+); (f) (CF+, CF2+); (g) (CF3+, CF+); (h) (CF2+, CF+); (i) (CF+, CF+). The reference direction is indicated by
the white arrow in each case. In images (a), (e), and (i), the self-covariance
signal has been removed by masking the covariance signal over an angle
of 1° around the reference direction. All of the images have
been normalized such that the positive covariance sums to unity.
Recoil-frame partial covariance images
for the ion pairs (S+, R+) formed via C–C
bond cleavage in the
100 eV dissociative electron ionization of C2F6, where S+ is the signal ion and R+ is the
reference ion: (a) (CF3+, CF3+); (b) (CF2+, CF3+); (c) (CF+, CF3+); (d) (CF3+, CF2+); (e) (CF2+, CF2+); (f) (CF+, CF2+); (g) (CF3+, CF+); (h) (CF2+, CF+); (i) (CF+, CF+). The reference direction is indicated by
the white arrow in each case. In images (a), (e), and (i), the self-covariance
signal has been removed by masking the covariance signal over an angle
of 1° around the reference direction. All of the images have
been normalized such that the positive covariance sums to unity.For more complex dissociation channels, recoil-frame
covariance
maps contain a great deal of information on the various multistep
mechanisms that lead to a pair of products. As we look from images
(a) through (c) of Figure , the relative velocity distribution of the CF+ signal ion progressively blurs. This
is a consequence of the momentum “kick” imparted to
the products during C–F bond fission, which reduces the correlation
between the relative velocities of the two fragment ions. Three general
mechanisms for dication dissociation can be defined according to the
order in which the charge separation step (C) occurs relative to any
neutral-loss steps (n). For the dissociation pathway yielding the
(CF2+, CF3+) ion pair,
the possible mechanisms are the following:These processes, which represent limiting
cases for a two-step dissociation, result in characteristic recoil-frame
scattering distributions.[41] The form of
these distributions depends on both the sequence in which the charge
separation step occurs relative to the neutral dissociation and the
relative masses of the various fragments. The formation of some of
the observed ions involves additional F-loss steps, but we start by
addressing the two-step pathways.concerted dissociation:initial charge
separation (Cn):deferred
charge separation (nC):King proposed that dissociation
proceeds via the “fast sequential”
deferred charge separation (nC) mechanism in his model for the two-step
breakup of C2F62+, with the initial
F atom loss occurring on a much shorter time scale than the subsequent
charge separation step.[29] For example:This mechanism is consistent with the postulate
of Inghram et al.[24] that the C–F
bond cleavage occurs on the femtosecond time scale whereas the C–C
bond cleavage is much less prompt. In such a mechanism, the recoil
blurring imposed on the C2F52+ fragment
as a result of F atom loss is small due to the imbalance in mass of
the two fragments, and the charge separation step dominates the relative
velocity distribution of the product ion pair. This mechanism also
helps to explain the relatively well defined signal-ion scattering
distribution for the (CF3+, CF2+) ion pair (see panels (b) and (d) in Figure ). The distribution matches qualitatively
with simulated covariance maps corresponding to the nC mechanisms
in CF3I2+ reported previously.[41,46] In such a mechanism, the recoil velocities of both CF+ fragments include the momentum kick
from the C–F bond cleavage, whereas in an initial charge separation
(Cn) mechanism the trajectory of only one of the ions is affected
by the C–F bond dissociation.As the dissociation of
the parent dication becomes increasingly
multistep in nature, the relative velocity distributions become increasingly
more blurred, as the C–F bond cleavage momentum kicks account
for an increasingly greater proportion of the total momentum of the
covariant CF+ fragments.Figure shows recoil-frame
covariance maps for the ion pairs (F+, CF3+) and (F+, CF+). In each of these covariance
maps, we see a well-defined arc of F+ signal ions, more
characteristic of a Cn mechanism. If F+ loss from C2F62+ outpaces C–C bond cleavage,
then we would expect a well-defined recoil velocity of F+, as its trajectory is established prior to the secondary dissociation
step(s) that form either CF3+ or CF+. On the basis of coincidence measurements,[29] King proposed a general mechanism by which the C2F62+ dication dissociates to form all (F+, CF+) ion pairs. In agreement
with our observations, King suggested that F+ is rapidly
lost, followed by decay of the remaining C2F5+ moiety. Given that we see no covariance between F+ and C2F5+, we must assume
that all pathways for the dication to form F+ must produce
an unstable C2F5+ fragment. This
is consistent with our single-component KE distribution for the C2F5+ fragment, which is stable only when
formed from the à state of the monocation.[22]
Figure 6
Recoil-frame partial covariance images for the ion pairs (S+, R+), where S+ is the signal ion and
R+ is the reference ion, formed via dissociation pathways
involving both C–C and C–F bond cleavage in the 100
eV dissociative electron ionization of C2F6:
(a) (F+, CF3+); (b) (F+, CF+); (c) (CF3+, F+); (d) (CF+, F+). The reference direction is
indicated by the white arrow in each image, and all of the images
have been normalized such that the positive covariance sums to unity.
Recoil-frame partial covariance images for the ion pairs (S+, R+), where S+ is the signal ion and
R+ is the reference ion, formed via dissociation pathways
involving both C–C and C–F bond cleavage in the 100
eV dissociative electron ionization of C2F6:
(a) (F+, CF3+); (b) (F+, CF+); (c) (CF3+, F+); (d) (CF+, F+). The reference direction is
indicated by the white arrow in each image, and all of the images
have been normalized such that the positive covariance sums to unity.
Conclusions
We have presented a comprehensive experimental
study of the dissociative
electron ionization dynamics of C2F6 at an electron
energy of 100 eV. We see contributions from singly and multiply charged
parent cations, which dissociate into a wide variety of C–C
and C–F bond cleavage products. Multimass velocity-map ion
images and the corresponding kinetic energy distributions for each
fragment provide mechanistic insight into the dissocation dynamics.
Covariance analysis allows us to explore the dissociation dynamics
of the multiply charged parent ions, exploiting the wealth of information
contained within multimass imaging data sets.Focusing on the
singly charged channels first, we observe a single
dissociative pathway to the formation of C2F5+ via the à state of the parent cation. This dissociation
is rapid and impulsive, outcompeting internal conversion and forming
neutral F and a C2F5+ ion with a
product ion kinetic energy distribution centered around 0.13 eV. In
contrast, we observe Boltzmann-like statistical distributions of kinetic
energy for all CF+ (n = 1–3) products, which peak at 0 eV and extend
out beyond 1 eV. We assign this statistical distribution to a number
of different pathways:Parent C2F6+ cations are initially formed in a number of electronic states
that relax to a subset of lower-lying states via internal conversion
and/or radiative decay. Cations in these lower-lying states then dissociate
on relatively long time scales following statistical redistribution
of internal vibrational energy to give CF3+,
CF2+, and CF+ ions.Neutral fluorine loss from C2F6+ typically precedes the dissociation of
the resulting C2F+ ion into CF+ product ions.Covariance-map imaging is used to study dissociation
pathways of
multiply charged parent ions formed in electron–molecule collisions.
TOF–TOF covariance maps reveal that all possible CF+ ion pairs are observed. Covariance signals
are also seen between F+ and C+, CF+, CF2+, CF3+, C2F+, and CF2 but not between F+ and
C2F5+.Recoil-frame covariance
maps allow us to explore the complex multistep
dissociation mechanisms of C2F62+ dications. Based on these covariance maps, we propose plausible
unimolecular reaction mechanisms. Reactions that form two CF+ ions are thought to proceed via a deferred
charge separation mechanism, in which the loss of neutral fluorine
occurs rapidly, imparting only a small kick to the remaining C2F52+ dication. This dication then dissociates
with a kinetic energy release upward of 3 eV resulting predominately
from Coulombic repulsion between the two charges. Channels forming
(F+, CF+) ion pairs
follow an initial charge separation mechanism in which F+ departs rapidly and the remaining monocation then undergoes further
dissociation into an ion–neutral pair.This work highlights
the power of multimass ion imaging and covariance-map
imaging in revealing detailed mechanistic information on the dissociation
dynamics of multiply charged ions. This is possible even in the presence
of much larger signals arising from the dissociation of singly charged
ions. Information on the full range of fragment channels can be obtained
in a single measurement under high-count-rate conditions, offering
a user-friendly alternative to conventional coincidence measurements
for understanding chemical dynamics.
Authors: O N Avatcov; A B Bakhtadze; V Y Baranov; V S Doljikov; I G Gverdtsiteli; S A Kazakov; V S Letokhov; V D Pismennyi; E A Ryabov; V M Vetsko Journal: Appl Opt Date: 1984-01-01 Impact factor: 1.980
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