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# Strong and selective isotope effect in the vacuum ultraviolet photodissociation branching ratios of carbon monoxide

## Abstract

Rare isotope (13C, 17O and 18O) substitutions can substantially change absorption line positions, oscillator strengths and photodissociation rates of carbon monoxide (CO) in the vacuum ultraviolet (VUV) region, which has been well accounted for in recent photochemical models for understanding the large isotopic fractionation effects that are apparent in carbon and oxygen in the solar system and molecular clouds. Here, we demonstrate a strong isotope effect associated with the VUV photodissociation of CO by measuring the branching ratios of 12C16O and 13C16O in the Rydberg 4p(2), 5p(0) and 5s(0) complex region. The measurements show that the quantum yields of electronically excited C atoms in the photodissociation of 13C16O are dramatically different from those of 12C16O, revealing strong isotope effect. This isotope effect strongly depends on specific quantum states of CO being excited, which implies that such effect must be considered in the photochemical models on a state by state basis.

## Introduction

Carbon monoxide (CO) is one of the most important molecules in astronomy, not only because it is the second most abundant molecular species in the universe only after the molecular hydrogen (H2) and the main gas phase reservoir of interstellar carbon and oxygen atoms1,2,3, but also because it plays a central role in understanding the large isotopic fractionation effects which are apparent in carbon and oxygen in the solar system and molecular clouds due to its intrinsic photochemical properties4,5. It has long been known that rare isotope (13C, 17O, and 18O) substitutions can substantially change photoabsorption line positions, oscillator strengths and photodissociation rates of CO5,6,7,8, and these are key input parameters for the self-shielding models9,10,11. These models have been proposed for explaining the anomalous oxygen isotopic distributions observed among various early Solar System objects which contain both 16O-rich and 16O-poor reservoirs12. Self-shielding process happens when a light beam with broad spectral distribution penetrates a sample of mixed gaseous molecules which have different absorption line positions. Due to the different column densities of the gaseous components, which result in different attenuation speeds according to Beer’s law, the relative amount of light absorption for different molecular species will change along the light propagation direction. To test the self-shielding models, Thiemens and coworkers performed an experiment at the advanced light source in Berkeley, strong and wavelength selective mass-independent oxygen isotope fractionation processes have been observed, from which they concluded that the self-shielding effect is not the major reason for the anomalously enriched atomic oxygen reservoirs observed in the Solar System13. However, their experiment and discussion did not convince most of the other researchers14,15,16. Now it is generally agreed that self-shielding effect is the main reason of the massive isotope fractionation observed in the above experiment and also that in the solar system, while Thiemens´ experiment does have the effect of encouraging people to include the different photoabsorption and photodissociation cross sections for different CO isotopologues in their models, which has been proved to make the modeling results in closer agreement with the experimental measurements17,18. Compared to the absorption line positions, accurate absolute values of photoabsorption and photodissociation cross sections are much more difficult to be measured, thus continued recent efforts are being devoted to obtain more precise values of these for all the CO isotopologues in hope of further improving the photochemical modeling19,20,21,22.

While most of the current photochemical models have considered the rare isotope substitution effects in the photodestruction process of CO due to VUV absorption, only few of them have talked about what chemical processes would happen following the production of C and O atoms, which can play important roles in sequestering the isotope fractionation results generated in the photodissociation process23,24,25. Recent measurements of the solar wind material collected by the Genesis mission showed that both heavy isotopes of oxygen (17O and 18O) are depleted in the Sun compared with that in the Earth and other terrestrial planetary materials by 7%26, and the heavy nitrogen isotope (15N) is depleted even more in the Sun by 40%27. The reasons for such big difference between O and N in the degree of heavy isotope depletion in the Sun are still unclear. Clayton proposed that this is caused by the different reactivity of the atomic photodissociation products of CO and N2 when react with H223. He assumed that dissociation of CO only produces O atoms in the ground state O(3P), and that of N2 can produce 50% N atoms in the excited state N(2D). N(2D) can be much more efficiently trapped due to its higher reaction rates with H2 compared with O(3P), and this caused the much higher degree of depletion for 15N compared with 17O and 18O in the Sun as observed by the Genesis mission. To verify this assumption, the photodissociation branching ratios of 12C16O have been measured recently28,29,30,31,32,33, which showed that photodissociation of 12C16O not only generates C and O atoms in the ground state, but also produces significant amount of C and O atoms in the excited states, and the ratios between them strongly depend on the specific rovibronic state of 12C16O being excited. These observations clearly showed that the initial assumption by Clayton is oversimplified. By using the measured branching ratios and the photoabsorption cross sections of 12C16O and 14N2 reported in the literature, Shi et al. carefully modeled the possible fractionation processes of O and N isotopes in the framework of self-shielding models by considering the different chemical reactivity between the excited O(1D) [N(2D)] and the ground O(3P) [N(4S)] produced by VUV photodissociation of CO [N2]. The modeling results qualitatively support the observations by the Genesis mission24. Besides O and N, Lyons et al. have recently showed that the heavy C isotope (13C) is also depleted in the Sun compared with that in the Earth and other planetary objects25. In their work, they have also considered the possible effect caused by the production of excited C atoms C(1D) from photodissociation of CO, because C(1D) can react with H2 several orders of magnitude faster than any other reactions in their models.

Even though not mentioned in the above two examples, they actually both assumed that all CO isotopologues produce the same amount of O and C atoms in the excited states, the validity of which has not been experimentally proved yet24,25. In the present work, we measure the photodissociation branching ratios of 13C16O in the Rydberg 4p(2), 5p(0) and 5s(0) complex region and find that the percentages of producing C(1D) and O(1D) for 13C16O can be dramatically different from that for 12C16O in the same absorption band, revealing very strong isotope effect. The underlying mechanism for such isotope effect is general for any indirect predissociation processes34, like that in O2, N2. This could potentially have great impact on the current photochemical models for understanding the various isotope fractionation phenomena observed in the fields of astrochemistry, geochemistry, and planetary atmospheric chemistry35,36.

## Results

### Isotope dependent photodissociation branching ratios

The present photodissociation branching ratio measurements were performed on a time-slice velocity-map ion imaging apparatus (TSVMI) (Fig. 1c) which equips with a high-resolution tunable VUV laser radiation source (spectral linewidth 0.3 cm−1) generated by the two-photon resonance-enhanced four-wave mixing scheme (Fig. 1d), as shown schematically in Fig. 1 (see “Methods” section for more details)32,37. A pulsed supersonic molecular beam of CO (12C16O or 13C16O) was crossed by the VUV laser beam in the photodissociation and photoionization (PD/PI) region of the TSVMI setup. CO molecules absorbed a single VUV photon to be excited to a specific rovibronic state, and then predissociated into the three possible channels as follows (see Fig. 1a, b):

$${\mathrm{CO}}\left( {{\mathrm{X}}^{\mathrm{1}}{\mathrm{\Sigma }}^{\mathrm{ + }}} \right){\mathrm{ + h\nu}}_{{\mathrm{VUV}}} \to {\mathrm{C}}\left( {{\,}^3{\mathrm{P}}} \right){\mathrm{ + O}}\left( {{\,}^3{\mathrm{P}}} \right) {\mathrm{h\nu}}_{{\mathrm{VUV}}}\geq{\mathrm{11}}{\mathrm{.09eV}}$$
(1)
$${\mathrm{C}}\left( {{\,}^1{\mathrm{D}}} \right) + {\mathrm{O}}\left( {{\,}^3{\mathrm{P}}} \right){\mathrm{h\nu}}_{{\mathrm{VUV}}}\geq{\mathrm{12}}{\mathrm{.35eV}}$$
(2)
$${\mathrm{C}}\left( {{\,}^3{\mathrm{P}}} \right) + {\mathrm{O}}\left( {{\,}^1{\mathrm{D}}} \right){\mathrm{h\nu}}_{{\mathrm{VUV}}}\geq{\mathrm{13}}{\mathrm{.06eV}}$$
(3)

The TSVMI setup collected the velocity-map ion images of C atoms produced in the above photodissociation processes. The images were then converted to the total kinetic energy release (TKER) spectra, from which the branching ratios of the above three dissociation channels can be deduced (see “Methods” section).

In the present study, we measured the branching ratios of the above three channels for the photodissociation of 13C16O, and compared with those of 12C16O from previous studies in the Rydberg 4p(2), 5p(0) and 5s(0) complex region (92.85–94.00 nm), where complicated photoabsorption structures due to various Rydberg–Rydberg and Rydberg–valence interactions have been observed, and the absorption line positions and oscillator strengths were found to strongly depend on the isotopic substitution8,19,20. The measured branching ratios of seven absorption bands in the wavelength range 92.85–94.00 nm are listed in Table 1, and selected four pairs of raw images and the corresponding TKER spectra are compared in Fig. 2 for the photodissociation of 12C16O and 13C16O. The branching ratio data for absorption bands of 1Π(v′ = 2), (4pπ) 1Π(v′ = 2), (5pπ) 1Π(v′ = 0), (5pσ) 1Σ+(v′ = 0) and I 1Π for 12C16O are adopted from our previous study32, and the newly measured branching ratios in the current study for the absorption bands of C′1Σ+(v′ = 7) and I´(5sσ) 1Σ+(v′ = 0) for 12C16O are consistent with the previous measurement in the literature31. In most of the raw TSVMI images as shown in Fig. 2, three rings are observed, from the outermost ring to the innermost, which are corresponding to the three dissociation channels C(3P)+O(3P), C(1D)+O(3P) and C(3P)+O(1D), respectively. The outermost, middle and innermost rings in the TSVMI images are converted to the peaks with largest (2.0–2.3 eV), medium (0.8–1.0 eV) and smallest (0.1–0.3 eV) kinetic energies in the TKER spectra, respectively. After normalization by using the photoionization cross sections of C(3P) and C(1D) (see Methods)38,39, the relative intensities of the three peaks in the TKER spectra directly reveal the branching ratios of the three dissociation channels.

In Fig. 2, we can see that the relative intensities of the three peaks in the TKER spectra, and thus the branching ratios are dramatically different between 12C16O and 13C16O in the absorption bands with upper states 1Π(v′ = 2), (5pπ) 1Π(v′ = 0), C′1Σ+(v′ = 7) and I′(5sσ) 1Σ+(v′ = 0). This is especially prominent for the comparison between the lowest dissociation channel C(3P)+O(3P) and the spin-forbidden channel C(1D)+O(3P), which respectively produce C atoms in the ground and first excited states. The largest variations happen in the absorption bands of 1Π(v′ = 2) and C′1Σ+(v′ = 7), where the relative ratios of C(3P)+O(3P) and C(1D)+O(3P) are completely inverted. For 12C16O, dissociation into the lowest channel dominates the predissociation process with percentages of ~53% and ~77% for the absorption bands of 1Π(v′ = 2) and C′1Σ+(v′ = 7), respectively; while for 13C16O, dissociation into the spin-forbidden channel producing C atoms in the excited state dominates the predissociation process with percentages of ~79% and ~62%, and the corresponding percentages of the lowest dissociation channel decrease to ~9% and ~22%, respectively for the two absorption bands. These huge branching ratio variations (up to 50%) between 12C16O and 13C16O in the above two absorption bands have been directly revealed in Fig. 2a, b, e, f, i, j, m, n, respectively. Relatively large variation of the branching ratio has also been observed for the absorption band of (5pπ) 1Π(v′ = 0), in which case the substitution of 12C by 13C decreases the relative percentage of C(3P)+O(3P) from ~62% to ~45%, and increases that of C(1D)+O(3P) from ~22% to ~48%, as shown in Fig. 2c, d, g, h. In the case of the absorption band with upper state I′(5sσ) 1Σ+(v′ = 0), only the outermost ring corresponding to the lowest dissociation channel can be observed for 12C16O, as shown in Fig. 2k, l, which indicates that dissociation into the two spin-forbidden channels generating excited C and O atoms is negligibly weak in this absorption band for 12C16O. While for 13C16O, the two inner rings and the corresponding peaks are clearly observable from the TSVMI image and the TKER spectrum, as shown in Fig. 2o, p. Besides the above four absorption bands, the substitution of 12C by 13C has also enhanced the generation of excited C atoms in the absorption band of (5pσ) 1Σ+(v′ = 0) at the band head, i.e. from ~ 12% to ~25%. Other than enhancing the generation of C(1D), 13C substitution could also decrease it as in the cases of (4pπ) 1Π(v′ = 2) and I 1Π, while the decreased amount is relatively small, less than 10% for both of the two absorption bands, as shown in Table 1. Compared with the large variations of the channel C(1D)+O(3P) caused by the 13C substitution, relatively small changes on the percentages of the channel C(3P)+O(1D) have been observed in the energy range investigated in the current study, which are usually less than 10%. As shown in Fig. 2c, d, g, h, i, j, m, n, the largest variations are observed in the absorption bands of (5pπ) 1Π(v′ = 0) and C´1Σ+(v′ = 7), in which the percentages of generating excited O atoms decreases and increases by ~10%, respectively.

From the above presentation, we can see that the substitution of 12C by 13C can greatly change the photodissociation branching ratios of CO, which varies from less than ~10% to ~50%. This isotopic effect strongly depends on the specific electronic and vibrational quantum level of CO being excited. Previous studies have shown that the photodissociation branching ratios of CO also depend on the rotational quantum number of the excited state, which revealed the detailed photodissociation dynamics30,32. In the current study, we investigate the rotational dependence of the branching ratio of the absorption band with upper state 1Π(v′ = 2) for 13C16O, and compare it with that of 12C16O in Fig. 3. This measurement shows that the huge branching ratio variation due to the isotopic substitution is not restricted to the single rotational level that is presented above for the absorption band of 1Π(v′ = 2). Our previous study revealed that the branching ratios of the lowest dissociation channel C(3P)+O(3P) increase linearly as a function of J′(J′+1) with J′ being the rotational quantum number of the upper state32. The linear dependence is due to the heterogeneous perturbations by the repulsive D′1Σ+ state that is correlating to the dissociation channel C(3P)+O(3P). As shown in Fig. 3, the pattern of the rotational dependence for 13C16O is almost the same with that of 12C16O, the substitution of 12C by 13C shifts up the line representing the branching ratios of the channel C(1D)+O(3P), and at the same time shifts down the line for C(3P)+O(3P), without changing the slopes of the lines. This observation implies that the isotopic substitution has negligible effect on the electronic perturbation coefficient between the Rydberg state 1Π(v′ = 2) and the repulsive D′1Σ+ state, while it does greatly enhance the coupling schemes which finally dissociate CO molecules into the spin forbidden (or triplet) channels. This will be discussed furthermore in next section.

### Origins of the isotope effect

In the above section, it is shown that the photodissociation branching ratios of 13C16O are dramatically different from that of 12C16O, revealing conspicuous isotope effect which depends on the specific quantum state of CO being excited. To our knowledge, this isotope effect has not been noticed before. From the chemical physics point of view, the substitution of 12C by 13C must have dramatically changed the relative coupling strengths among different rovibronic states which determine the partitions of the CO photodissociation into the three available channels. Due to the complicated potential curves of CO and the mutual interactions among them in this high excited region40, quantitative explanations of the observed isotope effect is obviously out of scope for the current study. Here we employ a simple diabatic coupling model to qualitatively explain the strong isotope effect observed in the current study. This model was recently discussed by Thiemens and coworkers for explaining the variations of absorption line positions and oscillator strengths of N2 due to isotopic substitution, which should also work for the photoabsorption and photodissociation processes of CO as pointed out by those authors34,41. This is actually similar to the coupled equations method used by Lefebvre-Brion and coworkers for quantitatively predicting the line positions, oscillator strengths, accidental perturbations, and photodissociation branching ratios of CO and their dependences on the isotopic substitution40,42,43. In this model, two bound diabatic potential curves with different bonding types, usually one Rydberg and one valence, cross at certain point and interact with each other through an electronic coupling constant H, this is shown schematically in Fig. 1b between the directly excited Rydberg state (the bound black curve) and a nearby valence state (the red curve). The specific coupling strength between two discrete quantum levels from the two diabatic potential curves is scaled by the energy gap of the two levels as H/(EaEb), where Ea and Eb are the energy positions of the two interacting quantum states as shown by the double head arrow in Fig. 1b. According to Born–Oppenheimer approximation, isotopic substitution should not dramatically change the electronic coupling constant H, but it does modify the reduced masses of diatomic molecules, this will, in turn, change the vibrational and rotational constants of the molecules, and thus the energy positions Ea and Eb. Because the two diabatic potential curves have different bonding characters (Rydberg vs valence), variations of the reduced mass change their vibrational and rotational energy ladders in different ways, this will modify the energy gap EaEb between the two interacting levels, and thus the coupling strength between them (Please refer to Fig. 1 of ref. 34 for an example). This mechanism has been argued to be the origin of the strong isotopic selectivity in absorption line positions and oscillator strengths of N2, especially in the crossing region of the two diabatic potential curves34. This physical picture can also explain the isotopically selective accidental local perturbations which are ubiquitous in the absorption spectra of N2, CO, and their isotopologues42,44.

Table 1 lists the energy shifts caused by the isotopic substitution for all the directly excited electro-vibrational states investigated in the current study. It shows large differences from state to state varying from ~19 cm−1 for the (5pσ) 1Σ+(v′ = 0) state to ~101 cm−1 for the (4pπ) 1Π(v′ = 2) state, this observation is consistent with the above discussion that isotopic substitution shifts the vibrational energy ladders in different manners for electronic states of different bonding natures. It has long been known that photodissociation of CO is an indirect process with all the possible dissociation pathways summarized before30,45. There are two different pathways for dissociating into the lowest channel C(3P)+O(3P), Pathways I and II, as shown schematically in Fig. 1b. Pathway I is through coupling with the well-known D′1Σ+ state (the repulsive black curve), which leads to the linear dependence of the photodissociation rates and branching ratios on J′(J′+1) for states of 1Π symmetry, like the 1Π(v′ = 2) state as shown in Fig. 3. The D′1Σ+ state is repulsive in the Franck-Condon region, thus the above physical model, which is for interaction between two bound electronic states, does not work34. The coupling strength between a bound electro-vibrational level and a repulsive state will not be significantly changed by the small energy shift of the bound level caused by isotopic substitution if it is well separated from the curve crossing region, this might explain why the substitution of 12C by 13C did not change the way how the branching ratios depend on J′(J′+1) for the 1Π(v′ = 2) state, i.e. the slopes of the linear fitting lines are the same for both 12C16O and 13C16O, as shown in Fig. 3. Pathway II is to first couple with another bound state of 1Π or 3Π symmetry (the red curve), then dissociate into the channel C(3P)+O(3P) through a repulsive state of 1Π or 3Π symmetry (the green curve). Even though the detailed dynamics of this pathway has not been clarified yet, its existence has been confirmed in several previous studies30,41. Because the first step involves coupling between two bound states, its strength could be strongly affected (increased or decreased) by isotopic substitution as discussed above. Reduction of the total contribution from Pathway II could be one of the reasons why the relative percentage into the C(3P)+O(3P) channel is greatly reduced for 13C16O compared with 12C16O in the 1Π(v′ = 2) state. Besides the above discussed reason, it could also be due to the enhancement of the photodissociation rate into the channel C(1D)+O(3P) which, in turn, decreases the relative percentage of the channel C(3P)+O(3P). Since the directly accessible quantum state from the ground electronic state by single VUV photon absorption is singlet, which cannot directly correlate with the channel C(1D)+O(3P), it usually couples with a repulsive state of 3Π symmetry through spin-orbit interaction to dissociate into C(1D)+O(3P). In this process, coupling with an intermediate bound state of 1Π or 3Π symmetry (the red curve) as a first step could be possible30,41. This mechanism is shown in Fig. 1b as Pathway III. The coupling strength between the directly excited and the intermediate states can be very sensitive to the isotopic substitution as discussed above, and this could be the second reason for the great enhancement of the C(1D)+O(3P) channel for 13C16O compared with 12C16O in the 1Π(v′ = 2) state. Dissociation pathways into the channel C(3P)+O(1D) are similar to that into the C(1D)+O(3P) channel, thus will not be repeated here.

Thus except for Pathway I which involves the repulsive D′1Σ+ state, the coupling strengths in the other two pathways as summarized in the previous study30 can be both significantly altered by the isotopic substitution, and this should be the origins of the strong isotope effect of the photodissociation branching ratios of CO observed in the current study. One thing to be noticed is that the magnitude of the isotope effect does not depend on the amount of energy shift in a monotone way. For example, the biggest energy shift (~101 cm−1) is observed for the (4pπ) 1Π(v′ = 2) state, while its branching ratios have only been changed by ~10%; on the other hand, the energy shift for the (5pπ) 1Π(v′ = 0) state is only ~45 cm−1, its branching ratios are varied by ~25% due to the isotopic substitution, as shown in Table 1. This is because of the fact that the coupling strength depends on the energy difference of the two states, Ea−Eb, which not only depends on the energy position of the directly excited state (Ea), but also on the energy position of the state that is being coupled with (Eb). Thus, it is not possible to tell directly from the isotopically selective photoabsorption spectra that how much the branching ratio of a specific absorption band will be changed by the isotopic substitution. Quantitative experimental measurement like that presented in the current study is needed for all the CO absorption bands, and this is being performed in our lab.

## Discussion

Early photochemical models based on the self-shielding effect only considered the isotopic fractionation effect caused by the shifts of photoabsorption line positions due to isotopic substitutions and assumed that no other isotopic fractionation processes occurred in the photodissociation process. This assumption was directly challenged recently by Thiemens and coworkers who found that the relative degrees of enrichment between 17O and 18O are mostly not unity and strongly wavelength dependent. This contradicts with the prediction by photochemical models which only consider the self-shielding effect13. Being stimulated by this experimental work, Lyons performed a detailed quantitative simulation, and found that pure self-shielding alone can account for the magnitude of the massive isotopic fractionation observed in the experiment, while consideration of other isotopic effects can definitely make the model more realistic, for example, the isotopic differences in dissociation probabilities can cause the slope increase observed in Thiemens’ experiment18. Even though the branching ratios of 12C17O and 12C18O have not been directly measured yet, the present experiment strongly implies that different relative amounts of excited 17,18O atoms [O(1D)] might be possibly produced, especially when considering the fact that 13C16O and 12C18O have very similar reduced masses35. This could affect the subsequent trapping reaction rate between CO and O which forms CO2 for detection in Thiemens’ experiment18. Since CO photodissociation can only generate excited O atoms [O(1D)] at VUV wavelength shorter than 94.94 nm (see reaction (3)), thus the present isotope effect observed for the branching ratio should not affect any absorption bands at longer wavelength in Thiemens’ experiment. Direct measurements of the photodissociation branching ratios for 12C17O and 12C18O have been planned in our lab, since they might be important for any photochemical models based on the self-shielding effect, for example, the recent one by Shi et al. for explaining why the rare isotope 15N is much more enriched (~7 times) than the rare isotopes 17O and 18O in the terrestrial planets relative to the Sun as revealed by the recent NASA’s Genesis mission24,26,27.

Besides the O isotopes, C isotopes are also of central importance for understanding the formation history of the Solar system. By reanalyzing the ATMOS Fourier transform spectrometer data for CO46, Lyons et al. concluded that the primary reservoirs of C on the terrestrial planets are enriched in 13C relative to the Sun, similar to O and N isotopes25. To explain this finding, they have built a photochemical timescale model which included all the relevant chemical reactions between C atoms and other molecular species, like H2, CH, CH2, and also VUV photons, that could be present in the early Solar system or parent molecular cloud. In the model, they have highlighted the potential possible roles played by the excited C(1D) atoms produced from the photodissociation of CO, because the reaction of C(1D) towards H2 is faster by a factor of ~103 than any other photochemical processes in the model, this could sequester the C atoms into large molecules to at least partially preserve the 13C isotope signature formed in the self-shielding process before they are ionized by VUV photons. The photoionization process can erase the 13C isotope signature through the ion exchange reaction between C+ and CO. Our current study showed that at some absorption bands of 13C16O, the production of excited C(1D) atoms can be significantly enhanced compared with that in 12C16O, for example, at the 1Π(v′ = 2) and C´1Σ+(v′ = 7) bands the relative percentages of C(1D) are increased by ~50% as shown in Fig. 2 and Table 1. This could potentially make the enrichment of 13C more preferential than 12C due to the much faster reaction rates of C(1D) than that of the ground state C(3P) when react with H2. Without systematic branching ratio measurements like that in the present study for all the relevant 13C16O absorption bands and quantitative photochemical modeling as that by Lyons and coworkers25, it is not possible to predict how exactly the current observation could affect the modeling outcomes, while we believe that consideration of the isotope dependent branching ratios on a state by state basis could improve any future quantitative photochemical models based on the CO self-shielding effect.

In summary, we have demonstrated a strong isotope effect in the VUV photodissociation of CO by measuring the branching ratios of 13C16O in the wavelength range 92.85–94.00 nm. The measurements showed that the branching ratio can be strongly altered through the substitution of 12C by 13C. This isotope effect also depends on the specific rovibronic quantum state of CO that is being excited. We employed a simple diabatic coupling model to explain this strong isotope effect, which could potentially work for any other molecules which undergo indirect predissociation process into multiple channels, for example N234. This strong quantum state dependent isotope effect of the photodissociation branching ratio could potentially improve the current photochemical models, thus need to be considered on a state by state basis in any future quantitative modeling.

## Methods

### Photodissociation branching ratio measurement

The experimental measurements in the current study were performed on the recently constructed mini-time-slice velocity-map ion imaging setup in our lab37, together with a tunable VUV laser radiation source generated by the two-photon resonance-enhanced four-wave mixing scheme. A schematic diagram of the experiment is shown in Fig. 1. Briefly, a supersonic molecular beam of pure CO (12C16O, 99.9%; 13C16O, 13C = 99%, 18O < 5%) generated by a pulsed valve (PV) operating at 10 Hz intersects with a VUV laser beam perpendicularly in the photodissociation and photoionization region. CO absorbs a single sum-frequency VUV photon (2ω12) and is excited to a specific rovibronic state and then undergoes predissociation through various pathways to form the three dissociation channels (as shown in Fig. 1b). Due to conservations of the total energy and linear momentum of the diatomic system, the following two equations can be deduced:

$$E_{{\mathrm{tot}}} = D_{\mathrm{o}}\left( {{\mathrm{CO}}} \right) + E\left( {\mathrm{C}} \right) + E\left( {\mathrm{O}} \right) + E_{{\mathrm{TKER}}}$$
(4)
$$E_{\mathrm{TKER}} = \left( 1 + M_{\mathrm{C}}/M_{\mathrm{O}} \right)\times E_{\mathrm{C}}$$
(5)

Etot is the term energy of the excited state with respect to the ground rovibronic level of CO; Do(CO) = 11.09 eV is the bond dissociation energy47; E(C) and E(O) are the internal energies of the C and O atoms respectively, with E(C(3P)) = E(O(3P)) = 0 eV, E(C(1D)) = 1.2637 eV, E(C(1D)) = 1.9674 eV; ETKER is the total kinetic energy release (TKER), EC is the kinetic energy of the C atoms; MC and MO are the masses of C and O atoms respectively. Since the three dissociation channels as shown in Eqs. (13) have atomic fragments with different internal energies, the resulting C atoms will have different kinetic energies (or different velocities). All the C atoms resulting from the same channel form a sphere in space, i.e. Newton sphere, the diameter of which is proportional to the velocities of the C atoms. Due to the existence of three energetically available channels, photodissociation of CO usually forms three Newton spheres of different diameters, as shown in Fig. 1c. When the centers of the Newton spheres arrive at the MCP detector (Tectra, 50-D-L-P-FV, diameter of 50 mm), a 80 ns negative high voltage pulse is applied to the detector, thus only the central slices of the Newton spheres are detected. The thus formed images on the phosphor screen are captured by a CCD camera (LaVision, Imagery Pro Plus 4M), and processed through a computer program (Davis 8 Application Module), as shown in Fig. 1a.

According to eqs. (4) and (5), TKER spectra can be obtained by integrating the raw TSVMI images. Based on the fact that the diameters of the rings in the images are directly proportional to the C atom velocities, we can assign the three peaks observed in the TKER spectra to each of the three dissociation channels easily. We calculate the underlying areas of the three peaks, and then calibrate them with the different photoionization cross sections of C(3P) and C(1D) to obtain the branching ratios of the three dissociation channels as listed in Table 1. The photoionization cross section of 12C(3P) was measured to be ~16 Mb with an uncertainty of ~30%38, and that of 12C(1D) was calculated to be ~27 Mb in the VUV range of the present study with no associated uncertainties reported39, thus this could be the biggest potential uncertainty source of the current photodissociation branching ratio measurements. Since there are no relevant results on the photoionization cross sections of 13C, here we used the photoionization cross sections of 12C to also calibrate the TKER spectra of 13C16O.

### Tunable VUV source

The tunable VUV laser radiation source used in the current study is generated by using the two-photon resonance-enhanced four-wave mixing scheme as shown in Fig. 1d. The second (green, 532 nm) and third (purple, 355 nm) harmonic outputs of a single Nd:YAG laser (Quanta-Ray, Pro-270-10E) are used to pump two dye lasers (Sirah, Cobra-Stretch) at the same time. The output from the one pumped by the third harmonic is frequency doubled by going through a frequency doubling unit (FDU), which gives out the UV laser beam ω1. ω1 is fixed at 222.568 nm (ω1) which is in resonance with the two-photon transition of Xe: (5p)5(2P1/2)6p2[1/2](J = 0) ← (5p)6 1S0 at 89,860.018 cm−1. The dye laser pumped by the second harmonic gives out the tunable visible laser beam ω2, which was scanned from 560 to 610 nm in the present study. The UV (ω1) and visible (ω2) laser beams were combined through a dichroic mirror (DM) and focused into a T-shape channel by two plano-convex lens both with f = 600 mm. The Xe gas is pulsed into the T-shape channel when the two laser beams arrive, and the four-wave mixing process takes place to generate the tunable VUV laser radiation, which has the photon energy of 2ω12. The time duration of the VUV laser pulse is 5–10 ns, and the predissociation life times of CO are usually in the picosecond range, thus in the present study a single VUV laser pulse is enough to first dissociate CO molecules and then ionize the C atoms for detection in the same laser pulse through a direct photoionization process. The VUV intensity generated this way is generally weak, no saturation of the photoionization has been noticed, thus the absolute VUV intensity should have no effect on the relative branching ratio measurements.

## Data availability

All the data presented in the present study are available from the authors on request for academic use.

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## Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant No. 21803072), the Program for Young Outstanding Scientists of Institute of Chemistry, Chinese Academy of Science (ICCAS), and Beijing National Laboratory for Molecular Sciences (BNLMS). We thank Prof. Yang Pan (National Synchrotron Radiation Laboratory, University of Science and Technology of China) for instrumentation supports.

## Author information

Authors

### Contributions

P.J. and X.P.C. collected and analyzed the data. H.G., M.C. and Q.H.Z. conceived and supervised the project. H.G. wrote the manuscript and all authors have read and approved its final form.

### Corresponding authors

Correspondence to Min Cheng or Hong Gao.

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### Competing interests

The authors declare no competing interests.

Peer review information: Nature Communications thanks Glenn Stark and other anonymous reviewer(s) for their contribution to the peer review of this work. Peer reviewer reports are available.

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Jiang, P., Chi, X., Zhu, Q. et al. Strong and selective isotope effect in the vacuum ultraviolet photodissociation branching ratios of carbon monoxide. Nat Commun 10, 3175 (2019). https://doi.org/10.1038/s41467-019-11086-z

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