The Born–Oppenheimer Approximation: Potential Energy Surfaces

2009 ◽  
pp. 37-54
Author(s):  
Max Wolfsberg ◽  
W. Alexander Van Hook ◽  
Piotr Paneth
1994 ◽  
Vol 01 (04) ◽  
pp. 615-620 ◽  
Author(s):  
S. HARRIS ◽  
S. HOLLOWAY

Time-dependent quantum wave packets have been used in a model calculation to investigate the photodesorption of an NO molecule from a Pt surface. A hot electron, generated in the substrate by an absorbed photon, may temporarily resonate in an unoccupied NO molecular orbital. If the electron spends enough time in the resonance, then on returning to the electronic ground state, the excited NO can acquire sufficient energy to desorb. The new aspect presented here is to treat the motion of the NO and that of the electron on an equal footing when calculating the photodesorption yield. We have not employed the Born-Oppenheimer approximation, but rather studied the dynamics on potential energy surfaces including both the NO-Pt and electron-Pt interactions.


2019 ◽  
Author(s):  
Ishita Bhattacharjee ◽  
Debashree Ghosh ◽  
Ankan Paul

The question of quadruple bonding in C<sub>2</sub> has emerged as a hot button issue, with opinions sharply divided between the practitioners of Valence Bond (VB) and Molecular Orbital (MO) theory. Here, we have systematically studied the Potential Energy Curves (PECs) of low lying high spin sigma states of C<sub>2</sub>, N<sub>2</sub> and Be<sub>2</sub> and HC≡CH using several MO based techniques such as CASSCF, RASSCF and MRCI. The analyses of the PECs for the<sup> 2S+1</sup>Σ<sub>g/u</sub> (with 2S+1=1,3,5,7,9) states of C<sub>2</sub> and comparisons with those of relevant dimers and the respective wavefunctions were conducted. We contend that unlike in the case of N<sub>2</sub> and HC≡CH, the presence of a deep minimum in the <sup>7</sup>Σ state of C<sub>2</sub> and CN<sup>+</sup> suggest a latent quadruple bonding nature in these two dimers. Hence, we have struck a reconciliatory note between the MO and VB approaches. The evidence provided by us can be experimentally verified, thus providing the window so that the narrative can move beyond theoretical conjectures.


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