• Subhankar Sardar

      Articles written in Journal of Chemical Sciences

    • A quantum-classical simulation of the nuclear dynamics in NO$^-_2$ and C6H$^+_6$ with realistic model Hamiltonian

      Subhankar Sardar Amit Kumar Paul Satrajit Adhikari

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      We perform the nuclear dynamics simulation to calculate the broad band as well as better resolved (a) photodetachment spectra of nitrogen dioxide anion (NO$^-_2$), and (b) photoelectron spectra of benzene radical cation (C6H$^+_6$) with degeneracy among the electronic states using our parallelized time dependent discrete variable representation approach. For this purpose, we first consider a theoretical model that describes the photodetachment spectrum originating due to the Franck-Condon (FC) transition from the anionic ground state to the conically intersecting $\widetilde{X}^2 A_1 - \widetilde{A}^2 B_2$ electronic manifold of the neutral NO2, whereas two multi-state, multi-mode model Hamiltonians of C6H$^+_6$ with degeneracy among the electronic states are explored for its’ photoelectron spectra. The dynamics of C6H$^+_6$ has been carried out with two Hamiltonians: (a) one consists with four states and nine modes, and (b) the other is constituted with three states and seven modes. Since the electronic states of both the systems are interconnected by several conical intersections in the vicinity of the FC region, it would be challenging to persue the dynamical calculation due to the impact of non-adiabaticity among the electronic states. The spectral profiles obtained with the advent of TDDVR approach show reasonably good agreement with the results obtained by other theoretical methodologies and experimental measurements.

    • A quantum-classical simulation of a multi-surface multi-mode nuclear dynamics on C6H$^+_6$ incorporating degeneracy among electronic states

      Subhankar Sardar Satrajit Adhikari

      More Details Abstract Fulltext PDF

      We have performed a nuclear dynamics simulation to calculate photoelectron spectra and population profiles of benzene radical cation (C6H$^+_6$) employing the parallelized Time Dependent Discrete Variable Representation (TDDVR) approach. For this purpose, we have considered two multi-state multi-mode model Hamiltonians of C6H$^+_6$ with degeneracy among the electronic states: (a) One consists of three states and eight modes, which in turn leads to a five state thirteen mode Hamiltonian ($X^2$E$_{1g}$-$B^2$E$_{2g}$-$C^2$A$_{2u}$) due to the degeneracy; and (b) The other is constituted of three states and thirteen modes which is basically a five state twenty mode Hamiltonian ($B^2$E$_{2g}$-$D^2$E$_{1u}$-$E^2$B$_{2u}$) for the same reason. Since these electronic states are interconnected by several conical intersections in the vicinity of the Franck Condon region, it will be challenging to pursue such large dynamical calculation in the presence of nonadiabaticity among the electronic states. The spectral as well as population profiles calculated with the advent of TDDVR approach show reasonably good agreement with the results obtained by the Multi Configuration Time Dependent Hartree (MCTDH) methodology.

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