We present molecular dynamics (MD), polarizability driven MD (α-DMD), and pump–probe simulations of Raman spectra of the protonated nitrogen dimer N4H+, and some of its isotopologues, using the explicitly correlated coupled-cluster singles and doubles with perturbative triples [CCSD(T)]-F12b/aug-cc-pVTZ based potential energy surface in permutationally invariant polynomials (PIPs) of Yu et al. [J. Phys. Chem. A 119, 11623 (2015)] and a corresponding PIP-derived CCSD(T)/aug-cc-pVTZ-tr (N:spd, H:sp) polarizability tensor surface (PTS), the latter reported here for the first time. To represent the PTS in terms of a PIP basis, we utilize a recently described formulation for computing the polarizability using a many-body expansion in the orders of dipole–dipole interactions while generating a training set using a novel approach based on linear regression for potential energy distributions. The MD/α-DMD simulations reveal (i) a strong Raman activity at 260 and 2400 cm−1, corresponding to the symmetric N–N⋯H bend and symmetric N–N stretch modes, respectively; (ii) a very broad spectral region in the 500–2000 cm−1 range, assignable to the parallel N⋯H+⋯N proton transfer overtone; and (iii) the presence of a Fermi-like resonance in the Raman spectrum near 2400 cm−1 between the Σg+ N–N stretch fundamental and the Πu overtone corresponding to perpendicular N⋯H+⋯N proton transfer.
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A polarizability driven ab initio molecular dynamics approach to stimulating Raman activity: Application to C 20
We describe a novel variant of the driven molecular dynamics (DMD) method derived for probing Raman active vibrations. The method is an extension of the conventional alpha-DMD formulation for simulating IR activity by means of coupling an oscillating electric field to the molecule’s dipole moment, miu, and inducing absorption of energy via tuning the field to a resonant frequency. In the present work, we modify the above prescription to invoke Raman activity by coupling two electric fields, i.e., a “Pump” photon of frequency wP and a Stokes photon of frequency wS to the molecule’s polarizability tensor, alpha, with the difference in the frequencies of the two photons w = wP - wS corresponding to the Stokes Raman shift. If a particular w is close to a Raman active vibrational frequency, energy absorption by the molecule ensues. Varying w over the desired frequency range allows identifying and assigning all Raman active vibrational modes, including anharmonic corrections, in the range by means of trajectory analysis. We show that only one element of the full polarizability tensor, and its nuclear derivative, is needed for an alpha-DMD trajectory, making this method well suited for ab initio dynamics implementation. Numerical results using first-principles calculations are presented and discussed for the vibrational fundamentals, combination bands, overtones of H2O, CH4, and the C20 fullerene.
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- Award ID(s):
- 1855583
- PAR ID:
- 10280169
- Date Published:
- Journal Name:
- Molecular Physics
- ISSN:
- 0026-8976
- Page Range / eLocation ID:
- e1939453
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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