Jessalyn A DeVine1, Arnab Choudhury1,2, Jascha A Lau1,2, Dirk Schwarzer1, Alec M Wodtke1,2. 1. Abteilung für Dynamik an Oberflächen, Max-Planck-Institut für Multidisziplinäre Naturwissenschaften, Am Faßberg 11, 37077 Göttingen, Germany. 2. Institute for Physical Chemistry, Georg-August Universität Göttingen, Tammannstaße 6, 37077 Göttingen, Germany.
Abstract
Fourier transform infrared spectroscopy of laser-irradiated cryogenic crystals shows that vibrational excitation of CO leads to the production of equal amounts of CO2 and C3O2. The reaction mechanism is explored using electronic structure calculations, demonstrating that the lowest-energy pathway involves a spin-forbidden reaction of (CO)2 yielding C(3P) + CO2. C(3P) then undergoes barrierless recombination with two other CO molecules forming C3O2. Calculated intersystem crossing rates support the spin-forbidden mechanism, showing subpicosecond spin-flipping time scales for a (CO)2 geometry that is energetically consistent with states accessed through vibrational energy pooling. This spin-flip occurs with an estimated ∼4% efficiency; on the singlet surface, (CO)2 reconverts back to CO monomers, releasing heat which induces CO desorption. The discovery that vibrational excitation of condensed-phase CO leads to spin-forbidden C-C bond formation may be important to the development of accurate models of interstellar chemistry.
Fourier transform infrared spectroscopy of laser-irradiated cryogenic crystals shows that vibrational excitation of CO leads to the production of equal amounts of CO2 and C3O2. The reaction mechanism is explored using electronic structure calculations, demonstrating that the lowest-energy pathway involves a spin-forbidden reaction of (CO)2 yielding C(3P) + CO2. C(3P) then undergoes barrierless recombination with two other CO molecules forming C3O2. Calculated intersystem crossing rates support the spin-forbidden mechanism, showing subpicosecond spin-flipping time scales for a (CO)2 geometry that is energetically consistent with states accessed through vibrational energy pooling. This spin-flip occurs with an estimated ∼4% efficiency; on the singlet surface, (CO)2 reconverts back to CO monomers, releasing heat which induces CO desorption. The discovery that vibrational excitation of condensed-phase CO leads to spin-forbidden C-C bond formation may be important to the development of accurate models of interstellar chemistry.
Spectroscopic
identification of extraterrestrial carbon-containing
polyatomic molecules has long sparked the imagination of astrochemists,
who suggest that the origins of terrestrial life may involve extraterrestrial
chemistry.[1−6] As the most abundant carbon-containing compound in the universe,[7,8] reactions of carbon monoxide that lead to carbon–carbon bond
formation play a key role. Astronomical CO is found in the gas phase,
but is also present as ices in the cold interstellar clouds postulated
to be the birthplace of the “molecules of life”.[9] To unravel the chemical mechanisms taking place
in these pockets of the universe, experimentalists have induced reactions
in laboratory analogs of astronomical CO ices by bombardment with
highly energetic (∼10–100 keV) photons, electrons, and
ions, mimicking the effects of background radiation in the interstellar
medium.[10−16] Under these harsh conditions a wide array of carbon-rich molecules
are formed, including C, CO, and CO2 with up to 7 carbon atoms. One of the simplest stable products containing
carbon–carbon bonds is carbon suboxide, C3O2 (O=C=C=C=O), which has been proposed
to be present in Comet Halley.[17] Like CO,
C3O2 is a fundamentally stable, closed-shell
molecule; unlike CO, it is much more reactive, and could provide a
carbon source for producing more complex organic molecules.[18,19]The most thorough account of chemical transformations in irradiated
CO ices is the mechanistic framework developed by Jamieson and co-workers.[14] They proposed C3O2 is
formed from a highly excited (yet ill-defined) CO* molecule, producing
reactive carbon atoms which go on to recombine with CO through reactions [-3].However, the harsh conditions of
those experiments
mean that a number of other processes are also possible. This chemical
complexity makes it difficult, if not impossible, to establish the
fundamental mechanism of C–C bond formation in CO ices.Vibrational energy pooling (VEP) offers an attractive alternative
for depositing energy into condensed-phase CO.[20,21] Laser-excitation of CO(X̃
1Σ+,v = 0 → 1) induces near-resonant
vibrational energy transfer between neighboring molecules in quantum
states v and w,This process has been studied in detail with
infrared laser-induced fluorescence (IR-LIF).[22,23] Through a base-camp mechanism occurring over a few microseconds,
CO molecules initially in the v = 1 state pool their
energy, producing a dilute population of highly excited molecules
in levels with v ≤ 37 (corresponding to energies
of up to ∼7 eV). Curiously, the rate of infrared emission drops
discontinuously starting at v ≈ 30, indicating
an energy threshold above which CO vibrational excitation experiences
another fate.In this work, we use Fourier transform infrared
(FTIR) absorption
spectroscopy of laser-irradiated α-CO crystals to show that
highly vibrationally excited CO produced by VEP reacts to form CO2 and C3O2 in equal amounts. Possible
reaction pathways for the lowest-lying singlet and triplet states
are explored using electronic structure theory, modeling the relevant
reactive species in the crystal as a gas-phase CO-dimer. These calculations
show that formation of the observed products likely relies on transitions
to the triplet surface via intersystem crossing (ISC) of a CO dimer
structure, energetically accessible by the highest-v states known to be populated through VEP. Trajectories remaining
on the singlet pathway are found to reconvert to 2CO from the critical
dimer structure in an exothermic process, releasing heat that drives
desorption of CO. Together, the experimental and theoretical results
provided here explain the energy thresholds observed in VEP, and shine
new light on the mechanisms by which carbon–carbon bonds can
form in condensed phase CO.
Methods
Experimental
Section
The apparatus
and procedure used to prepare and characterize thin, well-ordered
samples of α-CO on NaCl in ultrahigh vacuum (UHV) conditions
has been described in previous work.[24,25] In these experiments,
a UHV-cleaved NaCl(100) surface is thermally coupled to a dual-stage
helium cryo-cooler and positioned within a liquid nitrogen cooled
thermal shield. A cryogenic temperature controller is connected to
the sample holder, allowing for well-determined surface temperatures
as low as 7 K. Samples are prepared by directing a fixed number of
molecular beam pulses of CO gas onto the NaCl crystal at a temperature
of 22 K. After dosing, the sample is slowly cooled to 7 K, forming
a well-ordered crystal structure. Initial sample characterization
is then performed using an FTIR spectrometer operating in external
mode with a liquid nitrogen cooled InSb detector. The FTIR beam impinges
upon the sample at an incidence angle of 45°, and a wire grid
polarizer allows for measurement of s- and p-polarized spectra, using a background spectrum corresponding
to the NaCl(100) crystal at a temperature of 22K.Three samples
prepared with initial coverages of ∼150–500 layers of
CO were used to obtain the results presented in this work. To minimize
impurities which may contribute to the chemical activity of the samples,
the CO dosing gas (either isotopically pure 12C16O or natural abundance) was precooled using a pentane ice bath held
at appox. −130 °C. The initial sample characterization,
yielding s- and p-polarized spectra
consistent with previous measurements,[26] confirmed the formation of thin well-ordered α-CO samples
with minimal impurities.After sample preparation and characterization,
an excite-probe
cycle was performed to monitor the changes that occur following laser
excitation. Laser excitation was achieved using the difference frequency
mixing (DFM) setup described previously.[22,23,27] Here, a tunable dye laser is pumped by the
second harmonic (532 nm) of a seeded 10 Hz Nd:YAG laser; tunable infrared
light is then generated by mixing the dye laser output (∼850–890
nm) with the Nd:YAG fundamental (1064 nm) in a LiIO3 crystal.
This crystal is held at a temperature of 100 °C to minimize absorption
of atmospheric water. An electronic shutter situated at the output
of the DFM setup and coupled to the FTIR data acquisition software
was used to expose the sample to a fixed number of laser pulses, after
which a p-polarized FTIR spectrum was taken. Due
to the limited detection range of the InSb detector, absorption spectra
are reported for photon energies above 1900 cm–1. The excite-probe procedure was repeated until the sample had been
exposed to 60 000 laser shots, after which a final s-polarized spectrum was acquired. As shown in Figure S1 of the Supporting Information (SI), the only spectral
features considered in this work which show polarization dependence
are the CO optical modes.For the measurements reported here,
the DFM setup was tuned to
excite the transverse optical (TO) mode of α-12C16O (2138.6 cm–1) with typical pulse energies
of ∼200 μJ (∼10 ns pulse width). The excitation
beam was focused onto the sample with a spot size of diameter 0.5
mm, resulting in fluence that is sufficient to saturate the v = 0 → 1 transition of CO and initiate the VEP process.[23] To match the spatial extent of the excited region
with the area probed by the FTIR beam (2 mm diameter), the pump laser
spot was scanned periodically over the sample using a piezo-controlled
mirror, leading to irradiation of a ∼ 3.1 × 2.2 mm2 area of the sample.The measurements reported here
took several hours to complete,
over which time the InSb detector exhibited some baseline drift. The
spectra were baseline-corrected by identifying regions in which there
are no spectral features, and obtaining an interpolated background
curve that was then subtracted (see Figure S2 in the SI).
Computational
Electronic structure
calculations were carried out using QChem version 5.4.[28] First, density functional theory (DFT) was used
to obtain geometries and harmonic frequencies for the lowest singlet
and triplet states of the reactants and products of reactions [-3] at the ωB97M-V/6-311+G* level.[29] This functional—a combinatorically optimized, range-separated
hybrid, meta-GGA density functional with VV10 nonlocal correlation—was
chosen due to its relatively high position on the “Jacob’s
ladder” of DFT,[30] along with its
relatively low computational expense and compatibility with the various
computational methods used here. Reactant and product geometries were
connected using freezing string method (FSM) calculations within the
ωB97M-V/6-311+G* framework,[31] and
a transition state (TS) optimization on the highest-energy FSM point
was then performed for all six processes to determine which elementary
steps are barrierless. Single-point calculations on the optimized
reactant, TS, and product geometries were then performed at the CCSD(T)/def2-qZVP
level of theory to obtain more reliable energies. To ensure the validity
of this single-reference approach, the T1 diagnostic was used, which considers the ratio of the norm of the
T1 CCSD amplitudes to the number of electrons;[32] these values are given in Table S1 of the SI along with the
absolute energies for all species considered here. Optimized geometries,
harmonic frequencies, and reaction energies are provided in Tables S2–S4.For closer inspection
of the saddle point geometries, intrinsic reaction coordinate[33] and spin-flip time-dependent DFT calculations[34] were carried out using the chosen ωB97M-V/6-311+G*
framework; this functional and basis set was also used to calculate
the minimum energy crossing point (MECP) between the singlet and triplet
surfaces of [1].[35]For calculation of intersystem crossing rates, spin–orbit
coupling (SOC) matrix elements were computed using the equation-of-motion
coupled-cluster (EOM-CCSD) method with the 6-311G basis set.[36,37] The values used in rate calculations correspond to the total one-electron
matrix elements of a Breit-Pauli Hamiltonian, obtained directly from
the QChem output. Derivative coupling elements were obtained by performing
these calculations on geometries displaced from equilibrium along
the normal modes given by the ωB97M-V/6-311+G* frequency analysis,
and numerically differentiating the resultant SOC curves.
Results
Experimental Section
Figure A shows
FTIR spectra for a
∼300-layer sample of α-CO before and after laser irradiation;
similar results are obtained for samples with varying initial CO layer
thickness (see Figure S3 of the SI). Prior to laser excitation, FTIR spectra
are dominated by the 12C16O transverse and longitudinal
optical (TO and LO) modes at ∼2140 cm–1 and
a CO phonon sideband at ∼2200 cm–1.[26] Weaker features in the pre-excitation spectra
are attributed to minor impurities (13CO, CO2) in the dosing gas.
Figure 1
Initial and final FTIR spectra of vibrationally excited
α-CO.
(A) Optical density (o.d.) of a ∼300-layer sample held at 7
K before (black) and after (red) excitation with 60 000 laser
pulses. (B) CO absorption features. (C) CO2 and C3O2 absorption features. The large peak at the low-frequency
end of this panel corresponds to the CO phonon sideband in panel A.
Initial and final FTIR spectra of vibrationally excited
α-CO.
(A) Optical density (o.d.) of a ∼300-layer sample held at 7
K before (black) and after (red) excitation with 60 000 laser
pulses. (B) CO absorption features. (C) CO2 and C3O2 absorption features. The large peak at the low-frequency
end of this panel corresponds to the CO phonon sideband in panel A.Excitation of the α-CO TO mode (2138.6 cm–1) with 60 000 laser pulses induces three primary
changes in
the spectra. First, the CO absorption in the ∼2100–2200
cm–1 region is considerably depleted (Figure B). Second, the CO2 antisymmetric stretching band intensity increases (Figure C). Finally, we see the appearance
of a new feature at ∼2250 cm–1, which arises
from carbon suboxide, as has been discussed in previous reports (Section S1, Figures S4 and S5 of the SI).[11] We see no evidence
for production of any other new species beyond CO2 and
C3O2.From these spectra and data presented
in Table S5, we obtain column densities for CO, CO2, and
C3O2 as a function of the number of laser pulses
used in the excite-probe experiment (Section S2a of the SI); see Figure . The growth curves of CO2 and
C3O2 mirror one another—in other words,
for every CO2 molecule produced, a single C3O2 molecule is formed. This is consistent with reactions [-3] as the elementary steps needed for product formation,
so that the overall reaction is given by
Figure 2
Evolution
of CO, CO2, and C3O2 for samples
with varying initial thickness. Column densities are
reported in units of monolayer (ML) using the 2D density associated
with a single layer of pure α-CO (6.27 × 1014 molecules cm–2).[38] The
CO2 results have been corrected for the initial CO2 impurity in the unexcited sample, as well as the amount that
adsorbs over the course of the experiment due to residual gas in the
UHV chamber (see Figure S6).
Evolution
of CO, CO2, and C3O2 for samples
with varying initial thickness. Column densities are
reported in units of monolayer (ML) using the 2D density associated
with a single layer of pure α-CO (6.27 × 1014 molecules cm–2).[38] The
CO2 results have been corrected for the initial CO2 impurity in the unexcited sample, as well as the amount that
adsorbs over the course of the experiment due to residual gas in the
UHV chamber (see Figure S6).We now note two important observations that we will revisit
later.
First, the extent of CO depletion is far greater than can be explained
solely by conversion to the photoproducts, which accounts for <0.2%
of the total loss of CO in all three samples (Section S2b, Table S6, Figure S7). This indicates that the
majority of CO is lost to desorption, consistent with observed spikes
in the UHV chamber pressure during laser excitation. We also note
a saturation effect; for both reactants and products, the extent of
laser-induced change is initially rapid, slowing dramatically after
about 5000 laser shots.
Reaction Pathway Calculations
To
better understand the results in Figures and 2, electronic
structure calculations were carried out for the overall mechanism
given by [1-3].
Given the low density of high-energy CO molecules produced by VEP,
the CO molecules added at each step are assumed to be in the ground X̃
1Σ+ state, and we do
not consider production of the triplet state of CO2 as
relevant given the exceedingly high calculated excitation energy of
this state (∼4.5 eV). We also do not consider CO2 formation in a two-step process initiated by direct dissociation
of CO,as a contributor to our mechanism.
This was
taken to be an insignificant pathway in the high-energy experiments
on CO ices[14] due to the absence of products
with more than 2 oxygen atoms; given the lower energies used in the
current work, it is unlikely that the dissociation limit of CO(X̃
1Σ+)—ca. 10
eV[39]—will be reached in our system.With this in mind, our computational endeavors yield the energy
diagram of Figure . With the exception of the reactants of [1] and the products of [3], the triplet pathway
is always lower in energy, implying the existence of at least two
crossing points. For both singlet and triplet [1], the TS optimizations led to true saddle points (SPs) whose geometries
agree with those reported previously;[40] the triplet saddle point SP(T0) is ∼0.1 eV lower
in energy than the corresponding singlet state, indicating that the
first singlet/triplet crossing occurs prior to the TS to [1]. Reactions [ and 3] were found to be barrierless
for both spin states, with the TS optimizations leading to either
the reactant or product geometries. The lack of barriers for [2-3] is consistent with
the absence of experimentally observed C2O spectral features,
as well as the similar yields of CO2 and C3O2 (Figure );
in this energetic picture, as soon as CO2 is formed, the
system proceeds without a barrier to C3O2, regardless
of spin. We also note in passing that reaction [ has been found to be barrierless in a CO
matrix,[41] consistent with our findings.
Figure 3
Reaction
mechanism [1–3]
describing formation of CO2 and C3O2 from vibrationally excited CO. Singlet and triplet
pathways are shown in black and red, respectively, and energy differences
between states connected by dashed lines are given in units of eV.
Energies for each step in the overall reaction are obtained from CCSD(T)/def2-qZVP
results with ωB97M-V/6-311+G* zero-point correction. Steps where
CO is consumed are highlighted in yellow. For reference, energies
of CO(X̃
1Σ+,v) + 3CO(X̃
1Σ+, 0) are shown for v-levels populated through
VEP.[22]
Reaction
mechanism [1-3]
describing formation of CO2 and C3O2 from vibrationally excited CO. Singlet and triplet
pathways are shown in black and red, respectively, and energy differences
between states connected by dashed lines are given in units of eV.
Energies for each step in the overall reaction are obtained from CCSD(T)/def2-qZVP
results with ωB97M-V/6-311+G* zero-point correction. Steps where
CO is consumed are highlighted in yellow. For reference, energies
of CO(X̃
1Σ+,v) + 3CO(X̃
1Σ+, 0) are shown for v-levels populated through
VEP.[22]Although SP(S1) does correspond to a saddle point in
the DFT treatment used here insofar as it possesses a single imaginary
frequency, there are several aspects of this geometry that arouse
suspicion of its relevance to reaction [. While the structures of SP(T0) and SP(S1) are similar to those obtained in an MP2 treatment reported
previously,[40] this earlier work placed
SP(S1) at a higher energy than the CO2(X̃
1Σ+) + C(1D)
products. In contrast, we find that the conversion of SP(S1) to the singlet products of [1] has a positive
barrier of ca. 0.25 eV (Table S4). Given
this discrepancy, repeated calculations were performed at various
levels of theory, as discussed in Section S3 (Figure S8) of the SI. We find that the energetic picture given by Figure is fairly robust, and proceed
with the assumption that the SP(S1) geometry indeed lies
below the products to reaction [ on the singlet pathway.To assess the relevance of
a saddle point structure to a particular
reaction, one may perform an intrinsic reaction coordinate (IRC) calculation
on the transition state geometry to determine the “reactants”
and “products” implied by the imaginary frequency obtained
in a normal-mode analysis.[33] Performing
such an IRC calculation on SP(T0) (Figure A), using our chosen ωB97M-V/6-311+G*
framework, shows the expected behavior for a transition state of [1], leading to formation of 2CO and CO2 + C in the reverse and forward directions, respectively. In contrast,
the IRC calculation for the singlet SP (Figure B) leads to a cyclic intermediate, IM(S1), rather than the CO2 + C products for [1]; in the triplet state, this structure converges
to a linear OCCO geometry lower in energy than IM(S1) (Figure ). Thus, the identified
saddle point SP(S1) does not correspond to a true TS to reaction [, in contrast to
SP(T0).
Figure 4
IRC calculations for (A) SP(T0) and (B) SP(S1). Energies relative to the “reactant” geometries
are
plotted versus root-mean-square displacement from the SP geometries.
The SP structures are shown with green arrows depicting the atomic
displacements associated with their imaginary frequencies.
IRC calculations for (A) SP(T0) and (B) SP(S1). Energies relative to the “reactant” geometries
are
plotted versus root-mean-square displacement from the SP geometries.
The SP structures are shown with green arrows depicting the atomic
displacements associated with their imaginary frequencies.The possibility of accessing CO2 + C3O2 via the IM(S1) intermediate was also explored
(see Section S4a of the SI)—these calculations yield no energetically viable
pathway for formation of the observed products, while reconversion
to 2CO molecules is barrierless (Figures S9 and S10). This tendency toward dissociation is further illustrated
by the molecular dynamics simulations described in Section S4b of the SI, which show
that even when generated with considerable initial energy, IM(S1) rapidly dissociates into 2CO fragments (Figures S11–S14) rather than accessing a higher-energy
channel.
Singlet/Triplet Crossing for a CO Dimer
The computational results detailed in the previous section show
that the experimentally observed products are not readily formed on
the singlet potential energy surface (PES). One might expect that
traversal of SP(S1), which resembles a previously reported
TS to [1],[40] would
provide a spin-allowed pathway to products. However, as noted above,
SP(S1) lies ∼0.25 eV below the CO2 +
C(1D) bottleneck for C3O2 formation
on the singlet surface. Indeed, while the IRC calculation for SP(T0) yields the expected behavior for a TS to [1] (Figure A), we find that SP(S1) correlates with a cyclic C2O2 intermediate IM(S1) (Figure B), which lies ∼3 eV
below the expected CO2 + C(1D) products and
can readily convert back to the 2CO reactant well (Figure S9, Section S4b). These results strongly suggest that
the CO2 and C3O2 products observed
in this work are formed following a spin-flip to the triplet PES and
that spin-allowed chemical processes on the singlet PES are not productive,
leading back to reactants plus heat.With this in mind, we identified
the MECP of the singlet and triplet surfaces, which lies ∼1
eV below SP(T0) (Section S5, Figure S15) and strongly resembles the SP(S1) geometry.
Interestingly, the energy of the MECP at the CCSD(T)/aug-cc-pVTZ level
of theory places this singlet geometry only 0.1 eV above the triplet
CO2 + C(3P) products to [1]. Comparison of the MECP geometry to a dimer within the α-CO
lattice[42] also shows a striking orientational
similarity, as shown in Figure . Only a translation of one CO molecule toward the other is
needed to convert the structure of the dimer within the crystal to
that of the MECP; we postulate that this is possible for high-v vibrationally excited CO, and may also be facilitated
by phonon excitations in the surrounding crystal lattice. This argues
that the structural constraints of the α-CO lattice do not restrict
access to the geometry of the singlet/triplet MECP, and preorientation
within the crystal may even promote ISC.
Figure 5
CO dimer geometries.
The SP(S1) and MECP geometries
obtained at the ωB97M-V/6-311+G* level of theory (top) show
a resemblance to the geometry of a dimer within the α-CO crystal
lattice (bottom).[42] A more detailed comparison
of these geometries may be found in Figure S16 and Table S7 of the SI.
CO dimer geometries.
The SP(S1) and MECP geometries
obtained at the ωB97M-V/6-311+G* level of theory (top) show
a resemblance to the geometry of a dimer within the α-CO crystal
lattice (bottom).[42] A more detailed comparison
of these geometries may be found in Figure S16 and Table S7 of the SI.
Intersystem Crossing Rates
To test
the hypothesis that products are formed by a spin-forbidden reaction
mechanism, we calculated ISC rates for a CO dimer. We use the time-independent
formulation of Fermi’s Golden Rule to calculate the rate of
transitions between vibronic levels belonging to electronic manifolds
of differing spin, as detailed in Section S6a of the SI. While the SOC perturbation
which enables transitions between these states is typically treated
as a purely electronic operator,[43] the
observation that the singlet and triplet surfaces in Figure cross motivates a spin-vibronic
(SV) mechanism for ISC, so that we include nuclear effects on the
calculated SOC elements.[44] We consider
that the role of the surrounding CO crystal is to ensure energy conservation,
so that the energy discrepancy between initial and final states is
accounted for by the CO phonon bath (Section S6b of the SI).We again note the structural
similarities between SP(S1) and the MECP (Figure ), so that SP(S1) may represent a point at which the triplet surface can be accessed.
We thus employ a reduced-dimensionality—i.e., neglecting modes
with imaginary frequencies—SV-ISC mechanism to consider transitions
between vibrational states of the two SP geometries,as detailed in Section S7a (Figures S17–S18, Table S8) of the SI. Resultant nonzero rates are provided in Tables S9 and S10. These calculations show that within ∼500
fs, the vibrational ground state of SP(S1) can undergo
a spin-flip transition; we consider this to be representative of the
time scale on which ISC can occur in dimer structures accessed in
the crystal (see Section S7b). Comparing
this to the ∼20 fs lifetime of SP(S1) implied by
its imaginary frequency, we estimate that ∼4% of CO-pairs that
access SP(S1) may undergo ISC into the triplet manifold.
Discussion
With these results, we suggest
a simple picture for the observed
chemical evolution of vibrationally excited CO ices. Laser-excitation
of a fresh sample induces VEP, producing a sparse population of highly
vibrationally excited CO(X̃
1Σ+,v). This provides access to high-energy
regions of the singlet PES for reaction [, so that a molecule at the upper-end of the v-states populated through VEP can unite with a neighboring
CO molecule and form a dimer resembling the MECP or SP(S1) structures identified in our gas-phase model. This dimer is unlikely
to proceed to form the observed CO2 + C3O2 products on the singlet surface. However, it may undergo
rapid ISC and access the triplet pathway, possibly via a geometry
resembling the SP(T0) structure that can proceed to form
CO2 + C(3P) (Figure A). The triplet dimer may instead dissociate
to form 2 CO fragments; this could still result in formation of our
observed products, given gas-phase experiments showing that CO(ã
3Π) reacts to produce CO2 + C3O2 following a sequence similar to [1-3].[45−48] Once generated through [1], C(3P) proceeds without a barrier to
react with another CO, forming C2O(X̃
3Σ–), which subsequently reacts with
CO yielding C3O2. Thus, the formation of carbon–carbon
bonds in our samples is facilitated by ISC of a CO dimer, produced
from the energetic reaction centers generated through VEP.Of
course, spin–orbit coupling in light molecules like CO
is typically small. So, the reader should question why a reaction
on the singlet surface is unimportant, especially given the estimation
that in the gas-phase model, only ∼4% of CO pairs accessing
SP(S1) undergo a transition to the triplet surface. The
insight needed to address this question comes from our IRC calculations
showing that the imaginary frequency of SP(S1) correlates
with formation of IM(S1) (Figure B), which must then surpass a ∼3 eV
barrier to form CO2 + C(1D) (Figure S9). We consider this reaction impossible at the low
temperatures of our experiments; indeed, constant-energy molecular
dynamics trajectories of IM(S1) initialized with the kinetic
energies associated with its direct formation from SP(S1) show that even without a cold environment rapidly removing heat
from this molecule, it dissociates to 2 CO fragments (Section S4b). Thus, in the case that a dimer
resembling SP(S1) does not undergo ISC into the triplet
manifold, it will ultimately reconvert to the reactant well in an
exothermic process. The heat released by this dissociation likely
drives the desorption observed to dominate the depletion of CO in
our samples (Figure ).Our gas-phase calculations indicate that a CO dimer geometry—possibly
resembling the MECP or SP(S1)—is a critical point
for the observed changes in our samples, as it serves as the point
of access for product formation (via ISC to the triplet surface) as
well as CO desorption (via conversion to the cyclic IM and subsequent
dissociation). To produce CO with the levels of vibrational excitation
necessary to access this structure, VEP occurs via a base-camp mechanism
between molecules many lattice sites away; previous work has shown
that consideration of interactions between molecules up to 8 lattice
sites away is required to account for population of v = 22.[23] To produce populations in the
states relevant to this work (v ≥ 31), we
speculate that even longer-range intermolecular interactions are essential.
Hence, fractional polyatomic impurities on the 10–3 level are likely to interrupt the VEP process by acting as vibrational
energy sinks. Deposition of vibrational energy into such polyatomics
will be followed by rapid intramolecular vibrational redistribution,
reallocating the energy along low-frequency modes that easily couple
to the phonon bath of the surrounding crystal. Therefore, it is not
an accident that the product formation saturates when they constitute
<0.1% of the total sample (Figure S7); as the photoproducts accumulate in the CO matrix, the efficiency
of VEP is diminished such that fewer CO pairs access the critical
dimer geometry, resulting in the observed saturation behavior. The
mechanistic picture provided here is thus consistent with both of
the finer points highlighted in Section 3a regarding the kinetic traces in Figure .The importance of dimer geometries,
such as the gas-phase MECP
and SP(S1), in the dynamics of vibrationally excited CO
is further supported by considering previous results of IR-LIF experiments
probing VEP in the α-CO system. Figure shows the energies of CO vibrational levels
that have been observed in such experiments (v ≤
37);[22] we note that the energy of our calculated
SP(S1) structure lies between v = 31 and v = 32, which is remarkably close to the v-levels for which infrared fluorescence begins to become efficiently
quenched (see Figure 7 of ref (22)). With the ISC rates calculated for transitions out of
the SP(S1) manifold, we confirm prior suspicion that this
quenching of emission from higher v-states is connected
to vibration-to-electronic energy transfer (VEET) into an excited
triplet state. However, only a small fraction of the SP(S1) dimers will undergo ISC, and thus the observed quenching of higher-v states in LIF experiments arises from a more nuanced picture
than a simple electronic transition—namely, in addition to
enabling VEET, SP(S1) can provide access to the metastable
IM(S1) which effectively converts CO vibrational energy
to heat.Finally, we emphasize the somewhat surprising result
that infrared-excitation
of condensed-phase CO leads to production of molecules that are formed
by high-energy irradiation of CO ices. These high-energy experiments
involve continuous exposure to energetic particles resulting in a
high concentration of reaction centers in a range of vibronic states,
the identities of which are not always readily assumed. Because of
the nonspecificity of such radiation, products formed at these centers
can be subsequently excited, further complicating the dynamics and
leading to production of a wide range of carbon-rich species. In the
approach used here, the only possible excitation is CO(X̃
1Σ+,v = 0 →
1), so that reaction centers are produced indirectly (through VEP)
and in low concentrations.[23] As such, product
molecules generated by reactions [ and 2] are unlikely to be formed
in close proximity, limiting secondary reactions. Further, the lower
energies allow for more confident assignment of the states involved
in chemical transformations; thus, the milder conditions used here
enable a clear understanding of the physical processes underlying
[1-3].
Conclusions
Vibrational excitation of thin α-CO crystals
at 7 K is found
to induce carbon–carbon bond formation, and the pathways leading
to this chemistry are explored using electronic structure theory.
Together, the experimental and theoretical work presented in this
paper strongly support a mechanism wherein highly vibrationally excited
CO molecules produced by VEP access a critical dimer geometry that
effectively removes vibrational energy from the VEP process. Chemical
transformations are unlocked by ISC in this dimer, forming CO2 + C(3P) by a spin forbidden reaction
[ between two CO molecules. C(3P) subsequently recombines with CO in two barrierless steps,
[2-3], to produce
C3O2. In the event that the triplet pathway
is not accessed, the dimer ultimately reconverts back to 2CO molecules,
releasing heat that drives desorption of CO. These processes are reflected
in the chemical evolution of laser-irradiated CO samples monitored
using FTIR, which shows that CO depletion is primarily driven by desorption,
and equal amounts of CO2 and C3O2 are formed.While the molecules observed here are known to
be formed in similar
CO crystals irradiated with high-energy particles, we show that the
dynamics of vibrationally excited condensed-phase CO is an alternative
means by which reactive centers may be produced, leading to chemistry
resembling that occurring in astronomical CO ices. Due to the properties
of the base-camp mechanism of VEP,[23] reaction
centers are dilute and secondary reactions are suppressed; as a result,
a simpler set of observables is obtained, allowing a clear understanding
to emerge. Ultimately, we show that vibrationally excited CO is capable
of carbon–carbon bond formation via a spin-forbidden reaction
producing CO2 and C3O2.
Authors: John P Perdew; Adrienn Ruzsinszky; Jianmin Tao; Viktor N Staroverov; Gustavo E Scuseria; Gábor I Csonka Journal: J Chem Phys Date: 2005-08-08 Impact factor: 3.488