Ab initio non-adiabatic coupling elements: the conical intersection between the 22A′ and the 32A′ of the H+ H2 system

G Halász, Á Vibók, AM Mebel, M Baer - Chemical physics letters, 2002 - Elsevier
The conical intersections between the 1 2A′ and 2 2A′ electronic states and the 2 2A′
and 3 2A′ electronic states of the H2+ H system were characterized by line-integral …

Second-order nonadiabatic couplings from time-dependent density functional theory: Evaluation in the immediate vicinity of Jahn-Teller/Renner-Teller intersections

C Hu, O Sugino, K Watanabe - The Journal of chemical physics, 2011 - pubs.aip.org
For a rigorous quantum simulation of nonadiabatic dynamics of electrons and nuclei,
knowledge of not only the first-order but also the second-order nonadiabatic couplings …

The adiabatic‐to‐diabatic transformation angle and the berry phase for coupled jahn–teller/renner–teller systems: The F + H2 as a case study

A Das, D Mukhopadhyay, S Adhikari… - International Journal of …, 2012 - Wiley Online Library
The approach to calculate improved, two‐state, adiabatic‐to‐diabatic transformation angles
(also known as mixing angles), presented before (see Das et al., J Chem Phys 2010, 133 …

Marching along ridges. An extrapolatable approach to locating conical intersections

DR Yarkony - Faraday Discussions, 2004 - pubs.rsc.org
A conical intersection is a singular point in nuclear coordinate space. As result of this
singularity the parameters used to search for energy minimized conical intersections, energy …

A rigorous approach to the formulation of extended Born‐Oppenheimer equation for a three‐state system

B Sarkar, S Adhikari - International Journal of Quantum …, 2009 - Wiley Online Library
If a coupled three‐state electronic manifold forms a sub‐Hilbert space, it is possible to
express the non‐adiabatic coupling (NAC) elements in terms of adiabatic–diabatic …

Dressed adiabatic and diabatic potentials to study conical intersections for F+ H2

A Das, T Sahoo, D Mukhopadhyay… - The Journal of …, 2012 - pubs.aip.org
and compare dressed and bare adiabatic potentials to get insight regarding the low-energy
dynamics (eg, cold reaction) taking place in molecular systems. In this particular case, we …

Geometric phase effects in predissociation

B Lepetit, R Abrol, A Kuppermann - … Review A—Atomic, Molecular, and Optical …, 2007 - APS
We model the predissociation of H 3 in the electronic state corresponding to the upper sheet
of the conically intersecting 1 A 2′ and 2 A 2′ states, and we show that product-state …

TDDFT study on quantization behaviors of nonadiabatic couplings in polyatomic systems

C Hu, R Komakura, Z Li… - International Journal of …, 2013 - Wiley Online Library
We present extensive calculations on the quantization behaviors of first‐order nonadiabatic
couplings (NAC) in polyatomic systems, using the method based on time‐dependent density …

Non‐Born–Oppenheimer dynamics calculations using the coherent switching with decay of mixing method

B Li, TS Chu, KL Han - Journal of computational chemistry, 2010 - Wiley Online Library
A theoretical investigation of the nonadiabatic processes that are involved in the full three-
dimensional D1H2, H1D2, D11h2, and H11d2 reaction systems has been performed using …

Beyond Born-Oppenheimer treatment on spectroscopic and scattering processes

B Mukherjee, S Ghosh, S Adhikari - Journal of Physics …, 2018 - iopscience.iop.org
We review the formulation of beyond Born-Oppenheimer (BBO) theory based on first
principle for the construction of diabatic potential energy surfaces (PESs) both for few …