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Acta Physico-Chimica Sinca  2018, Vol. 34 Issue (5): 528-536    DOI: 10.3866/PKU.WHXB201710111
Special Issue: Special issue for Chemical Concepts from Density Functional Theory
ARTICLE     
Chemical Bonding and Interpretation of Time-Dependent Electronic Processes with Maximum Probability Domains
Andreas SAVIN*()
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Abstract  

Tools have been designed obtain information about chemical bonds from quantum mechanical calculations. They work well for solutions of the stationary Schrödinger equation, but it is not clear whether Lewis electron pairs they aim to reproduce survive in time-dependent processes, in spite of the underlying Pauli principle being obeyed in this regime. A simple model of two same-spin non-interacting fermions in a one-dimensional box with an opaque wall, is used to study this problem, because it allows presenting the detailed structure of the wave function. It is shown that ⅰ) oscillations persisting after the Hamiltonian stopped changing produce for certain time intervals states where Lewis electron pairs are spatially separated, and ⅱ) methods (like density analysis, or the electron localization function) that are widely used for describing bonding in the stationary case, have limitations in such situations. An exception is provided by the maximum probability domain (the spatial domain that maximizes the probability to find a given number of particles in it). It is conceptually simple, and satisfactorily describes the phenomenon.



Key wordsChemical bond      Time-dependent Schrödinger equation      Particle in a box with opaque wall     
Received: 01 September 2017      Published: 11 October 2017
Corresponding Authors: Andreas SAVIN     E-mail: andreas.savin@lct.jussieu.fr
Cite this article:

Andreas SAVIN. Chemical Bonding and Interpretation of Time-Dependent Electronic Processes with Maximum Probability Domains. Acta Physico-Chimica Sinca, 2018, 34(5): 528-536.

URL:

http://www.whxb.pku.edu.cn/10.3866/PKU.WHXB201710111     OR     http://www.whxb.pku.edu.cn/Y2018/V34/I5/528

 
 
 
 
 
 
 
 
 
 
 
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