A modified superposition approximation to the three‐body distribution function

1992 ◽  
Vol 97 (7) ◽  
pp. 5142-5147 ◽  
Author(s):  
J. A. Hernando ◽  
Z. Gamba
Keyword(s):  
Distribution Function ◽  
Body Distribution ◽  
Three Body ◽  
Superposition Approximation

scholarly journals Structure and Dynamics of Zr4+ in Aqueous Solution: An Ab Initio QM/MM Molecular Dynamics Study

2015 ◽  
Vol 15 (2) ◽  
pp. 155-162 ◽  
Author(s):  
Suwardi Suwardi ◽  
Harno Dwi Pranowo ◽  
Ria Armunanto
Keyword(s):  
Molecular Dynamics ◽  
Aqueous Solution ◽  
Distribution Function ◽  
Pair Potential ◽  
Structural Data ◽  
Angular Distribution Function ◽  
Dilute Aqueous Solution ◽  
Dynamical Properties ◽  
Experimental Values ◽  
Three Body

A QM/MM molecular dynamics (MD) simulation has been carried out using three-body corrected pair potential to investigate the structural and dynamical properties of Zr4+ in dilute aqueous solution. Structural data in the form of radial distribution function, coordination number distribution, and angular distribution function were obtained. The results indicate eight water molecules coordinate to zirconium ion and have two angles of O-Zr4+-O, i.e. 72.0° and 140.0° with a Zr4+-O distance of 2.34 Å. According to these results, the hydration structure of Zr4+ ion in water was more or less well-defined square antiprismatic geometry. The dynamical properties have been characterized by the ligand’s mean residence time (MRT) and Zr4+-O stretching frequencies. The inclusion of the three-body correction was important for the description of the hydrated Zr4+ ion, and the results indicated in good agreement with experimental values.

Nonextensive black-body distribution function and Einstein's coefficients A and B

1998 ◽  
Vol 242 (6) ◽  
pp. 301-306 ◽  
Author(s):  
Qiuping A. Wang ◽  
Alain Le Méhauté
Keyword(s):  
Distribution Function ◽  
Black Body ◽  
Body Distribution
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