# Analytic approximations to form factors

Analytic approximations to form factors Analytical constants are presented which describe the magnetic form factors for the firstgroup transition elements, their ions, and some rare-earth ions. Functions which peak at sin / = 0 are represented by a function A exp (-ax2) +B exp (-bx2) + C, where x is sin /. Contributions such as (j2) and (j4) etc., which are zero at x = 0, are represented by A exp (- ax2) + B exp (- bx2) + Cx2. An estimate for the goodness of fit between the function and its analytic approximation is given for each case. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Crystallographica Section A: Crystal Physics, Diffraction, Theoretical and General Crystallography International Union of Crystallography

# Analytic approximations to form factors

, Volume 27 (6): 545 – Nov 1, 1971

## Analytic approximations to form factors

, Volume 27 (6): 545 – Nov 1, 1971

### Abstract

Analytical constants are presented which describe the magnetic form factors for the firstgroup transition elements, their ions, and some rare-earth ions. Functions which peak at sin / = 0 are represented by a function A exp (-ax2) +B exp (-bx2) + C, where x is sin /. Contributions such as (j2) and (j4) etc., which are zero at x = 0, are represented by A exp (- ax2) + B exp (- bx2) + Cx2. An estimate for the goodness of fit between the function and its analytic approximation is given for each case.  