Cyclic-N3. I. An accurate potential energy surface for the ground doublet electronic state up to the energy of the 2A2/2B1 conical intersection

2004 ◽  
Vol 121 (14) ◽  
pp. 6743-6749 ◽  
Author(s):  
Dmitri Babikov ◽  
Peng Zhang ◽  
Keiji Morokuma
Keyword(s):  
Potential Energy ◽  
Potential Energy Surface ◽  
Electronic State ◽  
Energy Surface ◽  
Conical Intersection ◽  
Cyclic N3

Potential Energy Surfaces

1996 ◽  
Author(s):  
Tomas Baer ◽  
William L. Hase
Keyword(s):  
Potential Energy ◽  
Potential Energy Surface ◽  
Electronic State ◽  
Diatomic Molecule ◽  
Potential Energy Surfaces ◽  
Energy Surface ◽  
Electronic States ◽  
Dissociation Energies ◽  
State Potential ◽  
Energy Surfaces

Properties of potential energy surfaces are integral to understanding the dynamics of unimolecular reactions. As discussed in chapter 2, the concept of a potential energy surface arises from the Born-Oppenheimer approximation, which separates electronic motion from vibrational/rotational motion. Potential energy surfaces are calculated by solving Eq. (2.3) in chapter 2 at fixed values for the nuclear coordinates R. Solving this equation gives electronic energies Eie(R) at the configuration R for the different electronic states of the molecule. Combining Eie(R) with the nuclear repulsive potential energy VNN(R) gives the potential energy surface Vi(R) for electronic state i (Hirst, 1985). Each state is identified by its spin angular momentum and orbital symmetry. Since the electronic density between nuclei is different for each electronic state, each state has its own equilibrium geometry, sets of vibrational frequencies, and bond dissociation energies. To illustrate this effect, vibrational frequencies for the ground singlet state (S0) and first excited singlet state (S1) of H2CO are compared in table 3.1. For a diatomic molecule, potential energy surfaces only depend on the internuclear separation, so that a potential energy curve results instead of a surface. Possible potential energy curves for a diatomic molecule are depicted in figure 3.1. Of particular interest in this figure are the different equilibrium bond lengths and dissociation energies for the different electronic states. The lowest potential curve is referred to as the ground electronic state potential. The primary focus of this chapter is the ground electronic state potential energy surface. In the last section potential energy surfaces are considered for excited electronic states. A unimolecular reactant molecule consisting of N atoms has a multidimensional potential energy surface which depends on 3N-6 independent coordinates. For the smallest nondiatomic reactant, a triatomic molecule, the potential energy surface is four-dimensional (three independent coordinates plus the energy). Since it is difficult, if not impossible, to visualize surfaces with more than three dimensions, methods are used to reduce the dimensionality of the problem in portraying surfaces. In a graphical representation of a surface the potential energy is depicted as a function of two coordinates with constraints placed on the remaining 3N-8 coordinates.

Ab initio properties and potential energy surface of the ground electronic state of BeHe2+

2006 ◽  
Vol 429 (1-3) ◽  
pp. 335-340 ◽  
Author(s):  
Alister J. Page ◽  
David J.D. Wilson ◽  
Ellak I. von Nagy-Felsobuki
Keyword(s):  
Potential Energy ◽  
Potential Energy Surface ◽  
Ab Initio ◽  
Electronic State ◽  
Energy Surface ◽  
Ground Electronic State

Potential energy surface and ro-vibrational energies of Ne+3in the ground electronic state

2002 ◽  
Vol 90 (3) ◽  
pp. 1232-1239 ◽  
Author(s):  
Milan Šindelka ◽  
Vladimír Špirko ◽  
Jan Urban ◽  
Pavel Mach ◽  
Jerzy Leszczynski
Keyword(s):  
Potential Energy ◽  
Potential Energy Surface ◽  
Electronic State ◽  
Energy Surface ◽  
Ground Electronic State ◽  
Vibrational Energies

A new potential energy surface for the ground electronic state of the LiH2 system, and dynamics studies on the H(2S) + LiH(X1Σ+) → Li(2S) + H2(X1Σg+) reaction

2015 ◽  
Vol 17 (17) ◽  
pp. 11732-11739 ◽  
Author(s):  
Jiuchuang Yuan ◽  
Di He ◽  
Maodu Chen
Keyword(s):  
Neural Network ◽  
Potential Energy ◽  
Potential Energy Surface ◽  
Electronic State ◽  
Energy Surface ◽  
Ground Electronic State ◽  
Neural Network Method ◽  
Network Method ◽  
High Level

A new potential energy surface of the LiH2 system is obtained using a neural network method based on high-level energies.

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