Open Access Article
Cauê P. Souza
a,
Alexey V. Verkhovtsev
b,
Amy V. Walker
c,
Nigel J. Mason
d,
Andrey V. Solov’yov
b,
Lisa McElwee-White
e,
Matija Zlatar
*f and
Felipe Fantuzzi
*a
aSchool of Natural Sciences, University of Kent, Park Wood Rd, Canterbury CT2 7NH, UK. E-mail: f.fantuzzi@kent.ac.uk
bMBN Research Center, Altenhöferallee 3, Frankfurt am Main 60438, Germany
cDepartment of Materials Science and Engineering, University of Texas at Dallas, 800 W. Campbell Rd, Richardson, Texas 75080, USA
dSchool of Engineering, Mathematics and Physics, University of Kent, Park Wood Rd, Canterbury CT2 7NH, UK
eDepartment of Chemistry, University of Florida, Gainesville, Florida 32611, USA
fInstitute of Chemistry, Technology and Metallurgy, University of Belgrade, Njegoševa 12, Belgrade 11000, Serbia. E-mail: matija.zlatar@ihtm.bg.ac.rs
First published on 20th May 2026
Ruthenium π-diene carbonyl complexes have emerged as promising precursors for photo-assisted chemical vapour deposition (PACVD), yet their photodissociation mechanisms remain unclear. Here we use static quantum-chemical calculations to map the excited-state dissociation landscape of (η4-diene)Ru(CO)3 precursors (diene = BuD, MBuD, CHD, COT, CBuD). Ground-state DFT optimisations and Ru–ligand scans are combined with TD-DFT excitations and adiabatic singlet potential energy surface profiles to identify CO- and diene-loss pathways, while EDA–NOCV and natural transition orbital analyses rationalise the Ru–diene bonding and the character of the bright states that drive reactivity. Calculated UV-vis spectra reproduce experimental trends, including the markedly higher absorptivity and extended wavelength coverage of the COT-containing complex. CO loss is generally enabled by a range of ligand-field or charge-transfer excitations and internal conversion-assisted channels. In contrast, diene loss is strongly ligand dependent: BuD, MBuD, and CHD show accessible pathways, CBuD remains resistant, and COT exhibits additional complexity due to ligand flexibility and coordination changes, all consistent with experiment. These results outline favourable stepwise routes towards unsaturated fragments and provide a basis for future non-adiabatic dynamics, irradiation-driven molecular dynamics, time-resolved spectroscopy, and multiscale simulations of PACVD processes.
Among the various metals of interest for nanofabrication, ruthenium has received much attention in recent decades. It has high thermal resistance (melting point 2273 °C), a high work function (4.7 eV), low bulk resistivity (7.16 µΩ cm), and its only stable solid oxide, RuO2, is also a metallic conductor (with a resistivity of 35.2 µΩ cm).2,14 This makes Ru a promising metal for thin film technologies,15 next-generation capacitors16 and dynamic random access memory (DRAM) devices.17 It is also an attractive choice for replacing or enhancing current Cu interconnects in nanoelectronic devices.18,19 Previous techniques for the preparation of ruthenium films, such as pulsed laser deposition, molecular beam epitaxy, lift-off methods, and electrodeposition, have shown various limitations. CVD and its variations are promising alternatives to overcome these issues.2,20,21
A suitable precursor for PACVD must meet key requirements: (i) be highly volatile; (ii) be stable at vaporisation temperatures; (iii) possess high photodissociation quantum yields; and (iv) have facile thermal reactions on the substrate surface for completion of ligand loss. Although many homoleptic metal–carbonyl compounds meet all these criteria while also being simple and commercially available, Ru(CO)5 decomposes above −18 °C.2 The introduction of hydrocarbon polyhapto ligands in place of one or more CO ligands is one strategy to stabilise the complex while maintaining the remaining desirable properties. Ru–carbonyl compounds containing both η3 and η4 ligands have recently shown promising performance in PACVD.20,22–24 However, the detailed excited-state landscape, the competition between CO and diene loss, and the ligand-dependent accessibility of these channels remain unresolved.
Although the photochemistry of first-row transition metal–carbonyl complexes has been extensively studied, investigations become markedly scarcer for heavier congeners. To the best of our knowledge, the only study to date on the photochemistry of (η4-diene)Ru(CO)3 complexes [diene = butadiene (BuD), isoprene or 2-methyl-1,3-butadiene (MBuD), cyclooctatetraene (COT), 1,3-cyclohexadiene (CHD), cyclobutadiene (CBuD); Fig. 1] was reported by some of us.24,25 In that work, 3COT was excluded from the photolysis experiments because it showed evidence of dissociation products in the dark. The solution-phase investigation revealed loss of both CO and diene upon UV irradiation with a Hg(Xe) arc lamp, identifying these complexes as promising precursors for PACVD of ruthenium. Primary CO loss was observed for all compounds, whereas primary diene loss occurred only for 3BuD and 3MBuD. The quantum yields for CO loss were wavelength dependent for all compounds except 3BuD, and diene loss showed a similar wavelength dependence for 3BuD and 3MBuD. Extended photolysis produced species consistent with loss of one CO, loss of diene, loss of two CO, and combined CO/diene loss for all complexes except 3BuD, for which only one- and two-CO loss products were detected. With the exception of 3BuD, exhaustive photolysis yielded colloidal Ru. DFT calculations indicated that these photodissociation processes originate from ligand-field (LF) excited states, and 3BuD and 3MBuD emerged as the most promising candidate precursors.
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| Fig. 1 (η4-Diene)Ru(CO)3 compounds investigated in this study and previously in ref. 24. | ||
It is clear that photochemical studies of Ru–carbonyl complexes remain scarce, and even the prototypical Ru(CO)5 has not been extensively investigated. In contrast, related iron systems are much better characterised, and we briefly summarise the most relevant findings for (η4-diene)Fe(CO)3 complexes and M(CO)5 (M = Fe, Ru). Jaenicke et al.26 examined the solution-phase photolysis of several (η4-diene)Fe(CO)3 and (η4-diene)2Fe(CO) complexes, finding wavelength-dependent CO loss that exceeds diene loss by roughly an order of magnitude and increases at shorter wavelengths; transient (η2-diene) species were also detected. Bachler et al.27 observed similar η4 → η2 photoisomerisation and cis–trans isomerisation in (BuD)Fe(CO)3, while Chang and Zink28 reported wavelength-dependent CO and diene loss from (COT)Fe(CO)5 with smaller differences between the respective quantum yields. The homoleptic carbonyls M(CO)5 provide additional context: Fe(CO)5 undergoes rapid loss of up to two CO ligands after single-photon absorption, with further dissociation depending on photon energy.29–31 Complete CO loss can occur in the gas phase or inert matrices,29 and the process is strongly wavelength dependent.32 Dissociation generally proceeds stepwise, though concerted multi-CO loss via multiphoton absorption has been reported.29,32 Vibrational quenching in solution reduces overall dissociation,29,31,33 and both experiment and theory indicate that the first CO losses occur primarily on the singlet manifold,31,34 with possible triplet involvement in later steps.35 Reactive fragments such as Fe(CO)2 and Fe(CO) can further react with the parent complex to form polynuclear species.29
In contrast, photolysis of Ru(CO)5 produces Ru(CO)4, which readily recombines with CO to regenerate the parent complex.36 The compound is thermally unstable2 and can also form Ru3(CO)12 photochemically.36,37 A further distinction is that unsaturated Fe(CO)n fragments (n = 4–1) have triplet ground states (GS),29,31,34 whereas the Ru analogues (Ru(CO) excepted) are singlets.36–38 The heavier Ru centre is also expected to exhibit stronger spin–orbit coupling, although quantitative data remain limited.
In this work, we build upon the previous investigation24 of the photochemistry of (η4-diene)Ru(CO)3 complexes (Fig. 1) using static quantum-chemical methods to further elucidate the photodissociation pathways of these precursors, in line with established strategies for modelling excited states in organometallic systems.39,40 A comparison of geometrical parameters, bonding descriptions, excited states, and energetic profiles of the pristine complexes and their fragments, together with selected ground- and excited-state potential energy surface sections, helps clarify the mechanisms of ligand loss and provides guidance for the design of improved PACVD ruthenium precursors. Where appropriate, we also compare the Ru complexes to their iron analogues. An additional objective is to establish a foundation for multiscale modelling of PACVD through molecular dynamics simulations. A workflow previously developed for evaluating and selecting CHARMM force-field parameters for realistic simulations of alkanethiol SAM substrates41 will be extended here, and the present results will support parametrisation of reactive CHARMM (rCHARMM)42 force fields for the precursors. Such parametrisation is required for future irradiation-driven molecular dynamics (IDMD)43,44 simulations with the MBN Explorer45 package within a broader multiscale framework for radiation–matter interactions,46 an approach already successfully applied to FEBID processes involving related precursors such as W(CO)6,43,47,48 Fe(CO)5,33,49 and other organometallic compounds.50–52
For the CBuD- and COT-containing complexes, Ru–diene dissociation pathways were also explored using the nudged elastic band (NEB) method.57 The initial structure corresponded to the equilibrium geometry with the Ru–diene distance shortened by 0.5 Å along the vector connecting Ru to the centroid of the four coordinating carbon atoms. The final structure was generated by elongating the same coordinate by 1.8 Å from equilibrium and replacing the bound diene with the optimised isolated ligand while keeping the centroid coincident. At each image point in the converged path, vertical TD-DFT excitations were obtained for 30 singlet and 30 triplet states. All NEB calculations were carried out with ORCA 5.0.358 using ωB97X together with the D3 dispersion correction and Becke–Johnson damping (D3BJ).59 The split basis-set scheme described above and the RIJCOSX approximation with def2 auxiliary basis sets were employed.60 Transition states associated with possible changes in COT coordination (see Section 3.1) were located using the NEB-TS variant61 at the same level of theory, with reactant and product geometries optimised prior to the NEB-TS calculations.
To aid in the interpretation of the electronic transitions, the natural transition orbital (NTO) analysis62,63 via the TheoDORE package64 was used on the Gaussian 16-generated orbitals. Simulated absorption spectra were obtained by applying artificial broadening65 to the TD-DFT transitions (see Section S1, SI).
The energy decomposition analysis with natural orbitals for chemical valence (EDA–NOCV)66 was performed using the Amsterdam density functional (ADF)67 module of the Amsterdam modeling suite (AMS)68 v 2024.101 to characterise the Ru–diene interactions. The diene (BuD, MBuD, COT, CHD, or CBuD) and the remaining fragment were treated as separate moieties, and five fragmentation schemes were tested: (1) neutral singlets, (2) neutral triplets, (3) doublet fragments with charges ±1, (4) singlet fragments with charges ±2, and (5) triplet fragments with charges ±2. All calculations employed the PBE0 functional69 with D4 dispersion,70 TZ2P basis set,71 and scalar relativistic ZORA corrections.72
We then examine the photodissociation pathways through (TD-)DFT potential energy surface scans for Ru–ligand bond cleavage, presented in the adiabatic picture with excited states referenced to their ordering at the GS equilibrium geometry. Fig. 2 summarises all pathways from the pristine precursors to bare Ru and serves as a guide for the discussion. Section 3.4 addresses diene loss from pristine precursors and fragments (steps 2, 2.1, 2.3, and 2.5 in Fig. 2), followed by CO loss from diene-containing species (steps 1, 2.2, and 2.4) in Section 3.5. Section 3.6 examines CO loss from the Ru(CO)n fragments (steps 1.1–1.3). The section concludes with the proposed exhaustive dissociation pathways for the three most thoroughly analysed systems, 3COT, 3BuD, and 3CBuD as supported by the current method (Section 3.7). In the ensuing discussion, the proposed pathways should be regarded as a subset of the channels accessible within the coordinates explored here. Additional geometrical degrees of freedom may open alternative routes that require more detailed dynamical investigations beyond the scope of this work.
Loss of the diene at any stage of the dissociation sequence generates Ru(CO)n fragments, common to all precursors. Fragment 1 (n = 1) adopts the expected linear triplet GS (C∞v), with the singlet lying 24.7 kcal mol−1 (1.07 eV) higher in energy. Fragment 2 (n = 2) has a singlet C2v GS with a small singlet–triplet gap to the lowest-lying triplet state (C2v) of 3.4 kcal mol−1 (0.15 eV). In turn, fragment 3 (n = 3) adopts a singlet Cs GS with a 7.8 kcal mol−1 (0.34 eV) gap to the lowest triplet (C2v). These trends contrast markedly with the Fe analogues: all unsaturated Fe(CO)n fragments have triplet GS and Fe(CO)2 is linear (D∞h), as established by experiments and theory.29,31,34,35 From our calculations, even the triplet state of the Ru analogue 2 has C2v symmetry. These differences are consistent with established trends between first- and second-row transition metals, where the greater spatial extent and polarisability of 4d orbitals, together with relativistic effects, can lead to distinct metal–ligand bonding patterns and structural preferences.73–75
Fragment 3 and its analogue Fe(CO)3 are interesting cases. In both cases, the triplet C2v and C3v geometries are nearly degenerate, differing by 0.9 kcal mol−1 (0.04 eV) for Fe(CO)3 and only 0.3 kcal mol−1 (0.01 eV) for 3. Our calculations favour the C2v geometry in both cases, although a triplet C3v GS has previously been assigned for Fe(CO)3.29,31 Given the very small energy separation, such assignments are uncertain. Indeed, Troß et al.35 argued that the two structures for Fe(CO)3 interconvert readily and likely coexist in equilibrium, with DFT and CCSD(T) results differing on the preferred geometry. This ambiguity is unlikely to affect the Ru-containing precursors considered here. Table 1 summarises the singlet and triplet geometries and relative energies of the Ru(CO)n fragments and their Fe analogues.
| n | Symm. | Mult. | Ru(CO)n | Fe(CO)n | ||
|---|---|---|---|---|---|---|
| Energy | 〈S2〉 | Energy | 〈S2〉 | |||
| 3 | Cs | Singlet | 0.00 (0.00) | 20.66 (0.90) | ||
| D3h | Singlet | 49.92 (2.16) | 31.05 (1.35) | |||
| C2v | Triplet | 7.79 (0.34) | 2.010 | 0.00 (0.00) | 2.062 | |
| C3v | Triplet | 8.13 (0.35) | 2.008 | 0.90 (0.04) | 2.107 | |
| 2 | C2v | Singlet | 0.00 (0.00) | 34.87 (1.51) | ||
| D∞h | Singlet | 31.46 (1.36) | 32.01 (1.39) | |||
| C2v | Triplet | 3.41 (0.15) | 2.013 | 20.03 (0.87) | 2.378 | |
| D∞h | Triplet | 6.70 (0.29) | 2.020 | 0.00 (0.00) | 2.097 | |
| 1 | C∞v | Singlet | 24.66 (1.07) | 35.56 (1.54) | ||
| C∞v | Triplet | 0.00 (0.00) | 2.033 | 0.00 (0.00) | 2.531 | |
For the diene-containing fragments, two points are worth noting. First, the CBuD ligand is a perfect square in 0CBuD and 1CBuD, but becomes slightly deltoid (kite shaped) in 2CBuD and 3CBuD owing to the out-of-symmetry-plane carbonyl groups. In 3CBuD, adjacent C–C bonds measure 1.44 Å and 1.46 Å, while in 2CBuD they are 1.43 Å and 1.48 Å. Second, η4-coordinated dienes may in principle convert to η2 coordination under UV irradiation, as observed experimentally for (η4-diene)Fe(CO)3. However, rapid reversion to η4 prevents trapping of such intermediates in solution.26 For this reason, these structures were not considered here.
The remaining structural nuance concerns the COT-containing species, whose ligand offers greater flexibility in metal coordination. Because of the four double bonds, three coordination modes are possible for the singlet GS of (COT)Ru(CO)n precursors: edge η4 (1, 2, 3, 4), centre η4 (1, 2, 5, 6), and η6 coordination, although not all fragments support all arrangements. We therefore identify which of these geometries are relevant for the subsequent analysis of the dissociation pathways. Fig. 4 shows the lowest-energy singlet structures and their respective nearest minima, with Fe analogues included for comparison. The pristine 3COT precursor admits two Cs η4 isomers (edge and centre), with the edge form lower in energy by 10.8 kcal mol−1 (0.47 eV), consistent with crystallographic data for (COT)Fe(CO)328,76 and with our calculated separation of 12.7 kcal mol−1 (0.55 eV) for the iron analogue. Although COT–Ru complexes can be fluxional,77 only the lowest-energy structures were retained for the dissociation analysis. No triplet η4 minima were located for either metal, though η2-coordinated structures (not shown) exist.
After loss of one CO from 3COT to form 2COT, the initially unstable η4-coordinated fragment relaxes to an η6 Cs structure; NEB calculations indicate this conversion is barrierless (Fig. S1, SI). The alternative centre-coordinated minimum lies 6.9 kcal mol−1 (0.30 eV) higher in energy and is distorted (C1 symmetry). The Fe analogue (COT)Fe(CO)2 also has a singlet η6 Cs GS, but in contrast to the Ru system, the next-lowest energy structure is a triplet η4 edge-coordinated species, reflecting the greater energetic competitiveness of triplet states in the Fe series.
Further CO loss from 2COT yields 1COT, which retains an η6 Cs GS; a centre-coordinated η4 minimum lies 11.1 kcal mol−1 (0.48 eV) above. The Fe analogue instead adopts a distorted triplet η4 edge-coordinated GS (C1 symmetry), with a triplet η6 structure only 1.2 kcal mol−1 (0.05 eV) above. Final CO loss gives 0COT, which undergoes a further rearrangement: the unstable η6 structure converts to a centre-coordinated η4 C2v minimum via a small barrier of 2.9 kcal mol−1 (0.13 eV) (Fig. S2, SI). The closest higher-energy structure is the triplet η6 (5.2 kcal mol−1, 0.23 eV above). The Fe analogue remains a triplet η6 Cs species, with a triplet centre-coordinated η4 structure 12.3 kcal mol−1 (0.53 eV) higher. Complete structural and energetic data for all Ru and Fe complexes are provided in Fig. S3 in the SI.
The deformation densities in Fig. 5 show that, in all complexes, the Ru–diene interaction is dominated by the frontier orbitals of the two fragments. On the ligand side these correspond to π orbitals formed from the sp2 carbon p orbitals, while on the metal fragment they are Ru d orbitals with some contribution from the CO ligands. In the systems best described by triplet fragments (3COT and 3CBuD), the interaction follows an electron-sharing pattern, with complementary transfer of electron density between singly occupied orbitals on the diene and metal fragments. For the remaining complexes, described by singlet fragments, the interaction instead follows a donor–acceptor pattern, involving donation from the diene HOMO to a metal-centred orbital and backdonation from a metal-centred orbital into the diene LUMO. In both cases, the dominant contributions arise from frontier and low-lying orbitals, so electronic excitation from these orbitals is expected to weaken or disrupt the Ru–diene interaction.
The preference for a triplet-fragment description in 3CBuD is consistent with the electronic structure commonly attributed to cyclobutadiene in transition-metal complexes. Singlet cyclobutadiene is antiaromatic in a square geometry and therefore tends to distort, whereas a square or near-square geometry can be stabilised by coordination and is often rationalised in terms of triplet (Baird-type) aromaticity.82–84 The near-square CBuD ligand in 3CBuD, together with its small HOMO–LUMO gap, is therefore compatible with a triplet-fragment description of the Ru–CBuD interaction. The corresponding result for 3COT is less straightforward because COT is conformationally flexible and can avoid simple planar antiaromaticity through structural distortion. Nevertheless, its extended π system and small HOMO–LUMO gap may also bring the ligand triplet closer in energy to the singlet and favour an electron-sharing description in the EDA–NOCV analysis. For present purposes, it suffices to note that, irrespective of whether the interaction is best described in donor–acceptor or electron-sharing terms, the Ru–diene bonding in all cases involves frontier orbitals that are susceptible to electronic excitation, supporting the expectation that photoexcitation will facilitate diene dissociation.
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| Fig. 6 Top: calculated spectra for the pristine (η4-diene)Ru(CO)3 considered in this work. The spectral envelopes are Gaussians with σ = 0.4 eV. Bottom: NTOs for selected electronic transitions representing distinct characters (see Table 2). Values over the arrows are the occupation transfer of each orbital pair in the transitions. NTOs are represented as 80% of the density. Level of theory: TD-DFT/ωB97X-D3/def2-SVP,def2-TZVP(Ru)+ECP. | ||
The main transitions are summarised in Table 2 and assigned from NTO analysis (full set in Section S4, SI). Transitions with oscillator strength below 0.01 were treated as forbidden. Because the PACVD experiments employed a 500 W Hg(Xe) arc lamp,24,85 only transitions above 225 nm were considered relevant and are highlighted in bold. With the exception of 3COT, the active transitions are predominantly ligand-field (LF) in character, involving Ru d orbitals together with CO and diene π/σ orbitals. The relative ligand contributions vary: in 3CHD and 3CBuD, CO orbitals dominate at lower energy and diene contributions increase at higher energy, whereas the opposite trend is found for 3BuD and 3MBuD. For this latter pair, an additional charge-transfer transition appears near 210–215 nm. In 3BuD, this transition has ligand-to-ligand charge-transfer (LLCT) character between diene and CO orbitals, whereas in 3MBuD it combines LLCT with LF contributions. No clear metal-to-ligand charge-transfer (MLCT) transition is found for 3BuD, in contrast to suggestions for the analogous iron complex.26
| Wl./nm | f | State | Character | |
|---|---|---|---|---|
| 3COT | 310 | 0.0453 | S2 | LF (COT) |
| 264 | 0.0403 | S4 | MLCT (COT), LLCT (COT to COs) | |
| 251 | 0.1197 | S6 | LF (COT) | |
| 245 | 0.0163 | S7 | LF (COT) | |
| 243 | 0.0424 | S8 | LF (COT) | |
| 233 | 0.1078 | S11 | LF (COT) | |
| 220 | 0.0388 | S16 | LLCT (COT to COs), LF (COs) | |
| 206 | 0.1150 | S24 | LF (COT and COs), LLCT (COT to COs) | |
| 194 | 0.2274 | S30 | LF (COT and COs) | |
| 3CHD | 248 | 0.0516 | S2 | LF (CHD and COs) |
| 237 | 0.0132 | S3 | LF (CHD and COs) | |
| 216 | 0.0124 | S11 | LF (CHD and COs) | |
| 206 | 0.0134 | S15 | LF (CHD and COs) | |
| 3BuD | 246 | 0.0627 | S2 | LF (BuD and COs) |
| 211 | 0.0100 | S13 | LLCT (BuD to COs; COs to BuD) | |
| 206 | 0.0123 | S15 | LF (BuD and COs) | |
| 3MBuD | 248 | 0.0616 | S2 | LF (MBuD and COs) |
| 205 | 0.0133 | S15 | LF (MBuD and COs) | |
| 3CBuD | 227 | 0.0571 | S5 | LF (CBuD and COs) |
| 217 | 0.0109 | S10 | LF (CBuD and COs) |
Precursor 3COT differs markedly. Its lower-energy transitions are mainly LF but involve strong diene contributions with little CO participation. The S2 transition (Fig. 6, bottom panel) promotes electron density from an orbital bonding all ligands to one antibonding for the Ru–diene interaction. A further transition at 264 nm (S4) shows mixed MLCT (to COT) and LLCT character, comparable to the MLCT feature reported for (COT)Fe(CO)3.28 At higher energy, LLCT contributions become more prominent. 3COT also exhibits a larger number of allowed transitions above 225 nm (six versus one or two for the other precursors). Overall, these assignments are consistent with previous analyses.24,85
The relevance of these transitions to photodissociation becomes apparent when compared with the EDA–NOCV description of the bonding. Most LF excitations promote electron density from orbitals contributing to metal–ligand bonding into antibonding combinations, thereby weakening the Ru–ligand interactions. As a result, excitation can lower dissociation barriers and, in some cases, access nonbonded or directly dissociative states, as discussed in the following sections.
Substitution chemistry has been reported for 3COT in the dark in the presence of phosphites,24 motivating consideration of thermal diene loss. In the intact complex, the COT ligand adopts a chair conformation, whereas the free ligand relaxes to a boat structure; dissociation therefore involves substantial conformational reorganisation. Rigid Ru–COT scans reflect this distortion showing GS instabilities at larger separations, consistent with near-degeneracies with low-lying singlet excited states. NEB calculations connecting the equilibrium structure to a geometry with an elongated Ru–COT distance and a relaxed boat COT ligand yield excited-state curves with lower dissociation energies compared to the rigid scans (see Fig. S8, SI), highlighting the importance of ligand relaxation during dissociation. When it is possible to safely infer on D0 values from NEB MEP, this has been included in Table 3.
| GS | GS (+ZPE) | GS D0 | Lowest BS D0 | Lowest effective D0 | GS | GS (+ZPE) | GS D0 | Lowest BS D0 | Lowest effective D0 | ||
|---|---|---|---|---|---|---|---|---|---|---|---|
| a Values estimated from NEB MEP (see Section 5, SI). | |||||||||||
| 3COT | 3CBuD | ||||||||||
| 1 | 63 | 60 | 212 | 10 (S2)a | NA | 1 | 107 | 104 | 234 | 54 (S5)a | NA |
| 2 | 39 | 36 | 44 | 9 (S2) | 0 (S6–S3) | 2 | 49 | 46 | 50 | 23 (S5) | 0 (S5–S3) |
| 2.1 | 65 | 63 | 102 | 36 (S7)a | NA | 2.1 | 99 | 97 | 154 | 49 (S8)a | NA |
| 2.2 | 37 | 34 | 44 | 26 (S5) | 0 (S7–S4) | 2.2 | 50 | 47 | 49 | 9 (S6) | 0 (S8–S4) |
| 2.3 | 76 | 74 | 137 | 80 (S3) | NA | 2.3 | 97 | 94 | 227 | 73 (S1)a | NA |
| 2.4 | 54 | 51 | 74 | 44 (S3) | NA | 2.4 | 54 | 52 | 53 | 36 (S10) | 0 (S10–S8) |
| 2.5 | 88 | 88 | 161 | 95 (S8) | NA | 2.5 | 109 | 107 | 187 | 82 (S6)a | NA |
| 3BuD | 3CHD | ||||||||||
| 1 | 71 | 68 | 138 | 64 (S2) | 46 (S2–GS) | 1 | 67 | 65 | 141 | 68 (S2) | 47 (S2–GS) |
| 2 | 48 | 45 | 47 | 0 (S2) | 0 (S2) | 2 | 48 | 45 | 47 | 0 (S1) | 0 (S2–S1) |
| 2.1 | 64 | 62 | 94 | 46 (S8) | 22 (S4–S1) | ||||||
| 2.2 | 43 | 40 | 50 | 23 (S8) | 0 (S8–S7) | Ru(CO)3 | |||||
| 2.3 | 68 | 66 | 149 | 97 (S4) | 71 (S4–GS) | 1.1 | 41 | 39 | 44 | 20 (S4) | 12 (S12–S9) |
| 2.4 | 57 | 55 | 60 | 25 (S8) | 0 (S8–S5) | 1.2 | 47 | 44 | 70 | 31 (S12) | NA |
| 2.5 | 77 | 76 | 169 | 100 (S16) | NA | 1.3 | 67 | 65 | 72 | 23 (T9) | 0 (T9–GS) |
| 3MBuD | |||||||||||
| 1 | 72 | 69 | 141 | 67 (S2) | 45 (S2–GS) | ||||||
| 2 | 47 | 45 | 40 | 0 (S2) | NA | ||||||
Besides the low BDE for Ru–diene from 3COT's S2 state, the Ru–diene and Ru–CO GS BDEs in 3COT are among the smallest in the series (Table 3), which may explain its observed reactivity in the dark. While photodissociation of 3COT has not been explored experimentally in solution owing to this instability,24 the precursor performs exceptionally well in PACVD,85 plausibly reflecting its markedly larger absorption cross section across the relevant spectral range (Fig. 6). Among the secondary channels, loss of COT from 2COT (step 2.1) is also predicted to be a favourable route from the bright S7 state (Table 3).
Precursors 3BuD and 3MBuD show the best PACVD performance alongside 3COT,85 while 3CHD displays very similar photochemistry in solution studies24 but somewhat poorer PACVD performance. The computed primary dissociation pathways for these three precursors are likewise closely related and are therefore discussed together. In contrast to the 3COT (and 3CBuD) cases, no substantial ligand relaxation is expected during Ru–diene elongation, and rigid scans show no instability of the GS wavefunction. The Ru–diene scans for 3BuD and 3CHD (Fig. 7) are nearly identical, consistent with their η2-1,3-diene coordination, similar Frontier-orbital descriptions (Section 3.2), and common Cs symmetry (Fig. 3). The additional ring closure in CHD and the methyl substituent in 3MBuD introduce only minor perturbations, as confirmed by scans and structures.
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| Fig. 7 Rigid scans of the Ru–BuD bond in 3BuD and the Ru–CHD bond in 3CHD corresponding to loss of diene via step 1 in Fig. 2. The scans were performed by distancing the diene from the metal along the line joining the metal to the centroid of the four carbon atoms connected to Ru. In each plot, a purple vertical line indicates vertical excitation from the GS equilibrium geometry. Black curve is the GS PES. Orange curves denote bright excited states, and grey curves denote dark excited states. Level of theory: TD-DFT/ωB97X-D3/def2-SVP,def2-TZVP(Ru)+ECP. | ||
The GS Ru–diene BDEs for these three precursors (Table 3) are all close to 70 kcal mol−1 (3.0 eV). No diene loss in the dark was observed in solution photochemistry experiments, although 3MBuD showed minimal deposition in the dark under PACVD conditions.85 This is more plausibly attributed to thermal CO loss, as 3MBuD also has the lowest Ru–CO BDE among the three, close to that of 3COT.
Considering now the singlet excited states, only one relevant diene-loss pathway (step 2 in Fig. 2) emerges from the pristine precursors. For both 3BuD and 3CHD, the vertical excitation from the S0 minimum (purple lines in Fig. 7) populates the bright S2 state, which is the only allowed transition in the accessible spectral range. The Franck–Condon region lies at a slightly contracted Ru–diene distance from equilibrium, leading to excess vibrational energy. Near this region, S1 and S2 approach and cross (see insets in Fig. 7), as confirmed by NTO analysis (Fig. S11 and S13, SI). Rapid internal conversion can therefore populate S1, which becomes nearly degenerate with the GS near the dissociation plateau. Although the NTOs do not evidence state inversion, the geometry may lie close to a crossing, and with sufficient vibrational energy the system is expected to proceed toward dissociation rather than deactivation. The effective pathway—photoexcitation to S2, internal conversion to S1, further Ru–diene elongation, and crossing to the GS surface—yields an effective dissociation barrier of ca. 45 kcal mol−1 (2 eV) (Table 3).
The main distinction among these precursors is in the position of the S1–S2 crossing relative to the S0 equilibrium geometry: for 3BuD (and 3MBuD) the crossing occurs ca. 0.1 Å shorter than the equilibrium Ru–diene distance, whereas for 3CHD it appears further away (ca. 0.2 Å). This difference results in a somewhat higher-energy crossing from the Franck–Condon region for 3CHD, though whether this significantly alters relative reactivity remains unclear. Further insight will require non-adiabatic dynamics and time-resolved spectroscopy studies.
Subsequent diene-loss steps in the exhaustive dissociation of 3BuD were also examined. After CO loss (step 2.1 in Fig. 2), rigid Ru–BuD scans reveal multiple crossings among S1–S5 and the GS near the dissociation plateau (Fig. 8). NTO analysis (Fig. S14, SI) confirms that the state labelled S5 at the equilibrium geometry evolves into the lowest excited state at large Ru–diene distances. Although S5 is dark, S2–S4 are bright and can lead to low-barrier dissociation through these crossings; the lowest effective barrier (from the S4 minimum) is ca. 22 kcal mol−1 (1 eV). Diene loss from more CO-depleted fragments (steps 2.3 and 2.5) is unlikely owing to significantly higher barriers (Table 3; scans in Section S5.3, SI).
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| Fig. 8 Rigid scan of the Ru–BuD bond in 2BuD corresponding to loss of diene via step 2.1 in Fig. 2. The scan was performed by increasing the Ru–diene distance along the line connecting the metal centre to the centroid of the four carbon atoms of the diene. The purple vertical line marks the vertical excitation from the GS equilibrium geometry. The black curve corresponds to the GS PES. Orange curves denote bright excited states, and grey curves denote dark excited states. Level of theory: TD-DFT/ωB97X-D3/def2-SVP,def2-TZVP(Ru)+ECP. | ||
Finally, regarding 3CBuD, this precursor shows no detectable diene loss in either extended photochemical experiments24 or PACVD studies.85 As discussed in Section 3.1, the coordinated ligand adopts a deltoid geometry in 3CBuD and 2CBuD but becomes square in 1CBuD and 0CBuD, while the free ligand is rectangular (D2h). Elongation of the Ru–CBuD coordinate therefore leads to instabilities in rigid scans, with dark S1 and S2 states falling below the GS at larger distance (Section S5.5, SI). This occurs not only for the intact precursor but also for fragments formed after CO loss (steps 2.1, 2.3 and 2.5). NEB calculations connecting the intact structures to geometries with elongated Ru–CBuD bonds and relaxed D2h ligands do not remove these instabilities but yield lower D0 values than rigid scans overall (Fig. S17, SI). Given the rigidity of the CBuD ligand, alternative low-energy pathways appear unlikely, consistent with the absence of diene loss under both thermal and photochemical conditions.
Three general scenarios emerge: (1) dissociation via a bright state that is dissociative or has a negligible barrier; (2) dissociation through an effective pathway involving internal conversion (IC) between excited states; and (3) absence of accessible excited-state channels, in which case thermal dissociation from the GS may compete. These situations are discussed below.
Direct CO loss through dissociative bright states (case 1) is found only for 3COT and 3BuD. In 3BuD, any CO can dissociate through the low-lying S2 state reached by an LF transition (Table 2). Fig. 9 shows a representative scan for an out-of-plane CO. The associated NTOs (Fig. 6) indicate a redistribution of density away from the Ru–CO bonding region, weakening the bond despite the absence of a strongly antibonding acceptor orbital. In 3COT, only the CO lying in the σh plane dissociates via a bright state (S4), populated by a mixed MLCT/LLCT transition (Table 2). The remaining two CO ligands lack dissociative bright states and therefore follow case 2 (see SI for scans). The NTOs (Fig. 6) reflect this asymmetry: the dominant excitation weakens the in-plane Ru–CO bond while maintaining or even reinforcing bonding for the out-of-plane CO ligands.
For 2COT and 1COT, CO loss does not proceed via dissociative excited states. In particular, dissociation of the CO adjacent to the out-of-plane ethylene moiety in 2COT (step 2.2; Fig. 9, middle) and CO loss from 1COT (step 2.4) correspond to case 3. In these systems, only relatively low barriers on the ground or excited state surfaces suggest possible thermal release (Table 3).
All remaining systems fall into case 2, where effective dissociation occurs through IC between excited states. Some channels require population of higher excited states. For example, removal of the CO opposite the ethylene unit in 2COT requires excitation to S7, followed by a cascade of IC steps leading to S4, from which dissociation becomes accessible (Fig. 9, bottom). This contrasts with the lower-energy channel for the other CO in the same molecule discussed above (Fig. 9, middle).
Overall, CO loss from diene-containing species is generally accessible under photoexcitation, although its efficiency depends on the accessibility of bright states and IC pathways. This trend is consistent with solution-phase photochemistry, where higher CO yields are observed at shorter irradiation wavelengths.24,85
Fig. 10 collects the accessible channels leading to bare Ru or partially stripped fragments for 3COT, 3BuD, and 3CBuD. In all cases, formation of (diene)Ru is the most accessible endpoint. For 3CBuD, this is the only viable termination. Complete fragmentation to bare Ru is predicted for 3COT and 3BuD through similar sequences. For 3COT, the pathway starting with step 1 may also proceed thermally as suggested by the lowest GS BDE and experimental observations. Along the alternative route, step 2.4 is more favourable for 3BuD than for 3COT, in line with the barriers in Table 3. Loss of diene from fragments containing one or no carbonyl is unlikely in all cases.
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| Fig. 10 Proposed dissociation channels derived from the present analysis. For 3COT and 3BuD, complete fragmentation to bare Ru can proceed through two main pathways: initial diene loss followed by successive CO loss, or initial CO loss followed by diene loss and further CO loss. These pathways correspond to steps 1 → 1.1 → 1.2 → 1.3 and 2 → 2.1 → 1.2 → 1.3, respectively. The most favourable dissociation pathways follow step 2 → 2.2 → 2.4, terminating in (diene)Ru fragments (OCOT and OBuD, respectively). In contrast, for 3CBuD, only the sequence 2 → 2.2 → 2.4 is accessible, leading to (CBuD)Ru, with no viable route to complete fragmentation to bare Ru. See text for details. Numerical labels follow the definition in Fig. 2; * indicates channel also accessible via thermal dissociation from the ground state, consistent with experiment. | ||
The results indicate that 3COT and 3BuD can access pathways leading to bare Ru under photoactivation, with closely related routes likely for 3CHD and 3MBuD, whereas 3CBuD is expected to terminate at a stable (CBuD)Ru fragment. These differences can be traced to the topology of the low-lying excited states and to the degree of structural relaxation along the Ru–diene coordinate, which together control access to internal conversion regions and effective dissociative pathways, in line with photochemical and PACVD observations. The general conclusions are consistent with current experimental evidence and indicate that the participation of triplet states is likely to be minor, if any. In a strict sense, however, the results apply to the singlet manifold. A complete assessment of the role of triplet states would require explicit treatment of spin–orbit coupling and non-adiabatic effects.
Although the present treatment is static and does not address the full excited-state dynamics, the mapped potential energy surfaces delineate the regions where bond weakening and cleavage become accessible. The use of NEB calculations accounts for the principal structural relaxation of the COT and CBuD ligands beyond rigid bond stretching, although additional nuclear degrees of freedom are not explicitly explored. The dissociation profiles obtained here therefore provide an initial map and quantitative basis for future dynamical simulations for parametrising multiscale models of PACVD growth, helping bridge molecular-level photochemistry with predictive descriptions of photo-assisted nanofabrication processes that can be directly compared with deposition experiments.
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