scholarly journals Highly accurate numerical solution of Hartree–Fock equation with pseudospectral method for closed-shell atoms

2020 ◽  
Vol 58 (8) ◽  
pp. 1571-1600
Author(s):  
M. Cinal
2021 ◽  
Author(s):  
Sobin Thomas ◽  
Gopika P. B. ◽  
Suresh Kumar Nadupuri

1999 ◽  
Vol 597 ◽  
Author(s):  
Steven Trohalaki ◽  
Robert J. Zellmer ◽  
Ruth Pachter

AbstractSpangler and He [1,2] have shown that dithienyl polyenes form extremely stable bipolaronic dications when oxidatively doped in solution. Previous theoretical studies applied empirical methods to predict bipolaronic enhancement of hyperpolarizabilities for simple polyenes [3,4]. Here, we employ density functional theory to optimize the gas-phase molecular conformations of neutral, cationic, and dicationic forms of a series of dithienyl polyenes, where the number of ethene units, N, is varied from 1–5. Ab initio Hartree-Fock, generalized valence bond, configuration interaction, and Møller-Plesset calculations demonstrate that the dications are farily well described with a closed shell and therefore have little biradicaloid character. Second hyperpolarizabilities, γ, are subsequently calculated using ab initio Hartree-Fock theory and a finite field methodology. As expected, γ increases with the number of ethene units for a given molecular charge. The cations also show the largest increase in γ with N. For a given value of N, the cations display the largest γ values. However, if we treat the dication as a triplet, which might be present in solution, then it displays the largest γ.


2004 ◽  
Vol 96 (2) ◽  
pp. 192-194 ◽  
Author(s):  
M. N. Adamov ◽  
Yu. B. Malykhanov ◽  
V. V. Meshkov ◽  
R. M. Chadin

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