PROPERTIES OF THE ATOMIC FORM-FACTOR - APPLICATIONS AND SHELL STRUCTURE

A relationship between the atomic form factor, F(k), and its first der ivative, both at the origin, is presented. A new function f(k), relate d 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 an d to other quantities such as the charge density at the origin, rho p( 0), and radial expectation values. Finally, interesting effects on the Laplacian of f(k) due to the atomic shell structure were found. (C) 1 995 John Wiley & Sons, Inc.