Visualization of two-body electron densities and wave functions of magnetic molecules

Author(s):  
D. Yamaki ◽  
Y. Kitagawa ◽  
H. Nagao ◽  
M. Nakano ◽  
Y. Yoshioka ◽  
...  
1986 ◽  
Vol 34 (2) ◽  
pp. 853-859 ◽  
Author(s):  
Annik Vivier Bunge ◽  
Rodolfo O. Esquivel

Author(s):  
Søren Fournais ◽  
Thomas Østergaard Sørensen

Abstract We prove a priori bounds for all derivatives of non-relativistic Coulombic eigenfunctions ψ, involving negative powers of the distance to the singularities of the many-body potential. We use these to derive bounds for all derivatives of the corresponding one-electron densities ρ, involving negative powers of the distance from the nuclei. The results are both natural and optimal, as seen from the ground state of Hydrogen.


1963 ◽  
Vol 41 (9) ◽  
pp. 2303-2308 ◽  
Author(s):  
Richard F. W. Bader

The electron densities obtained from the S.C.F. wave functions determined by Ransil for some first-row homonuclear diatomic molecules are tested through a calculation of the forces acting on the nuclei. None of the density functions (for Li2, Be2, C2, N2, and F2) give the required condition of electrostatic equilibrium, the departure from a nonzero force increasing with increasing nuclear charge. Adverse atomic polarizations are shown to be primarily responsible for these results, and in particular for the surprising result that the density in the 3σg orbital of N2 and F2 actually exerts a force tending to separate the molecule into atoms.


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