Roaming and Spectroscopy
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1 Roaming and Spectroscopy D. Townsend, S. A. Lahankar, S. K. Lee, S. D. Chambreau, A. G. Suits, X. Zhang, and J. Rheinecker, L. B. Harding, J. M. Bowman, Science. 306, 1158 (2004). J. M. Bowman, X. Zhang, Phys. Chem. Chem. Phys. 8, 321 (2006). A. G. Suits, Acc. Chem. Res. 41, 873 (2008). A. G. Suits, S. D. Chambreau, and S. A. Lahankar, Int. Rev. Phys. Chem. 26, 585 (2007). J. M. Bowman and B. C. Shepler, Annu. Rev. Phys. Chem. 62, 531 (2011). J. M. Bowman and A. G. Suits, Phys. Today. 64, 33 (2011). N. Herath and A. G. Suits, J. Phys. Chem. LeW. 2, 642 (2011). International Symposium on Molecular Spectroscopy June 2014
2 Roaming and Spectroscopy Roaming in H2CO - dynamics calculations Roaming in NO3 - History, spectroscopy, conical intersections, still a major challenge Quantum Roaming in MgH+H - Wavefunctions from Hua Guo International Symposium on Molecular Spectroscopy 6/2014 DOE ARO
3 Acknowledgments
4 Potentials Using Permutational Invariance As molecular systems get larger find atom degeneracy, e.g., H + (H2O)2, H+CH4,CH5 +. The PES should be invariant wrt to all permutations of like atoms so ideally the fit should be as well. Exploit this in the fitting basis. Far fewer configurations than the 10 3N-6 are needed Data can be scattered Fits are more accurate (nature knows about symmetry) Fits accurately predict stationary points
5 Monomial Symmetrization C(1)C(2)H(3)H(4) S is an operator that generates a sum of monomials that is invariant wrt to the 2!2! = 4 permutations
6 Monomial Symmetrization
7 Int. Rev. Phys. Chem. 28, (2009).
8 H+CH4 F+CH4 Some Permutationally Invariant PESs Barrier Variation and pre- and post-ts wells H2+CH3 (also exchange) HF+CH3 Cl+CH4 HCl+CH3 O( 3 P)+CH4 OH+CH3 Complex Forming/Unimolecular (Roaming) O+NO2 NO3 O2+NO H2+CH3 + CH5 + H2+CH3 + (with exchange) H2+H3 + H5 + H2+H3 + (with exchange) H2+H5 + H7 + H2+H5 + (with exchange) H+HCO H2CO/HOCH H2+CO HCO+CH3 CH3CO,... CH4+CO,... O( 3 P)+C2H4 CH2CH2O CH3+HCO,... CH3+NO2 CH3NO2,... CH3O+NO H+HCN H2CN H2+CNCH3+OH CH3+OH CH3OH,... CH2O+H2O,...
9 Puzzling Result (1993) 1993 van Zee and Moore 100 Molecular Products at cm v HH > 4 v HH 4 No. of Trajectories sum TS Component Roaming component ca 15% of total j CO Farnum, Zhang, Bowman, JCP (2007)
10 Correlated H2 and CO Trans Energy Distributions at cm -1 Solid - exp, Dashed - theory A: jco = 40 see low v H2 B:jco = 28 see low & high v H2 C: jco = 15 see high v H2 D. Townsend, S. A. Lahankar, S. K. Lee, S. D. Chambreau, A. G. Suits, X. Zhang, J. Rheinecker, L. B. Harding and J. M. Bowman, The Roaming Atom: Straying from the Reaction Path in Formaldehyde Decomposition, Science, 306, 1158 (2004).
11 Global Poten3al Energy Surface PermutaZonally invariant fit to 6x10 4 energies (cm - 1 ) 34 1.CCSD(T)/aug-cc-PVTZ 2. Fit T 1 Wavenumbers/ TS TS TS H + HCO Cis Trans Min H 2 + CO
12 Making the H 2 + CO Products via the Molecular TS
13 Making the H 2 + CO Products via Roaming
14 Roaming in H2CO Unimolecular Dissociation (Article by Arthur Suits, Artwork by Frank Suits)
15 A Short Selective History of NO3 Dynamics 1992 Laser Induced Fluorescence DetecZon of O 2 Vib States - Poor Franck- Condon factors to lower vibrazonal states The data therefore yield a linear surprisal plot which can, with caution, be used to estimate populations in those vibrational levels below v= 6.
16 Extrapolated Results Monotonic decrease for both NO and O2 (extrapolated)
17 JCP (1996) Deep, comprehensive study, in the range nm Correct, as of 2014 Not correct, as of 2014
18
19 2013 The PESs are permutationally invariant fits to roughly electronic energies (MS- CAS(17e,13o)PT2/aug-cc-pVTZ) with CCSD(T)/aVTZ dissociation energies. Permutationally invariant polynomials up to total order seven were used, for a total of 196 coefficients, for the D0 and D1 PESs, respectively. A total of about trajectories were run from D 0-GM, and roughly go to O2+NO products (rest dissociated to O+NO2 but with less than ZPE in NO2). Roughly trajectories from D 1-GM and ~1300 of them result in O2+NO. Roughly trajectories were run from the saddle points of D0 and D1, and half of them dissociated into O2+NO channel. All O 2+NO products come from roaming pathways on D0 and D1.
20 NO3* NO+O2, [NO2+O] hν = 588 nm
21 Animation D0
22 O2 Vibrational Distributions on D0 in jno Ranges Exp (North)
23 NO Vibrational Distribution From D0 This agrees with experiment (Smith, Wittig, North, Suits...)
24 Issues and Further Research While QCT calculations on D0 and D1 do capture the ro-vibrational O2 (and NO) distributions via roaming pathways on these global ab initio surfaces - not coupled, so electronic branching not calculated Spectroscopic studies from experiment and theory indicate that D2 is strongly coupled to D0. Morokuma and co-workers have located imporant minimum energy conical intersections of relevance to roaming and possibly to spectroscopy. Quantum calculations of this dissociation would be important. We can do these in the wells
25 Connection to Vibronic Coupling and NO3 Spectroscopy? Energy gaps vs time for three trajectories starting at the NO3 complex region
26
27
28 SPT SPR Roaming saddle point
29 SPR Roaming and Wavefunctions
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