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Properties of the atomic form factor: Applications and shell structure
Author(s) -
Gálvez F. J.,
Porras I.
Publication year - 1995
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560560303
Subject(s) - atomic charge , simple (philosophy) , shell (structure) , structure factor , derivative (finance) , function (biology) , atomic physics , chemistry , laplace operator , charge (physics) , charge density , physics , computational chemistry , molecular physics , crystallography , quantum mechanics , materials science , molecule , philosophy , epistemology , evolutionary biology , financial economics , economics , composite material , biology
A relationship between the atomic form factor, F ( k ), and its first derivative, both at the origin, is presented. A new function f ( k ), related in a simple way to F ( k ), has been studied and some applications have been performed. They led us to find lower bounds to F ( k ) for all k and to other quantities such as the charge density at the origin, ρ(0), and radial expectation values. Finally, interesting effects on the Laplacian of f ( k ) due to the atomic shell structure were found. © 1995 John Wiley & Sons, Inc.