Analytic atomic form factors for atoms and ions withZ≤54

The independent-particle model of Green, Sellin, and Zachor (GSZ) with parameters fixed by an ab initio variational procedure is used to obtain approximate atomic form factors for all atoms and ions with $Z\le 54$. For convenience of application we replace the electron density obtained using Poisson's equation from the GSZ potential by an approximating sum of Debye or Yukawa functions. This sum implies a corresponding approximating sum of Debye or Yukawa potentials for the GSZ potential. These steps lead to convenient analytic form factors whose parameters may all be fixed terms of the two GSZ parameters. In this way, we can define approximate form factors for any of the 1485 species with $Z\le 54$. For most of these (∼ 1300 ionic species), no previous form-factor calculations have been reported.