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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

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Analytic approximations to form factors

Lisher, E.J; Forsyth, J.B
Acta Crystallographica Section A: Crystal Physics, Diffraction, Theoretical and General Crystallography , 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.

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Publisher
International Union of Crystallography
Copyright
Copyright (c) 1971 International Union of Crystallography
ISSN
0567-7394
DOI
10.1107/S0567739471001219
Publisher site
See Article on Publisher Site

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.

Journal

Acta Crystallographica Section A: Crystal Physics, Diffraction, Theoretical and General Crystallography – International Union of Crystallography

Published: Nov 1, 1971

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