dab¶
DAB (Debye Anderson Brumberger) Model
Parameter |
Description |
Units |
Default value |
---|---|---|---|
scale |
Scale factor or Volume fraction |
None |
1 |
background |
Source background |
cm-1 |
0.001 |
cor_length |
correlation length |
Å |
50 |
The returned value is scaled to units of cm-1 sr-1, absolute scale.
Calculates the scattering from a randomly distributed, two-phase system based on the Debye-Anderson-Brumberger (DAB) model for such systems. The two-phase system is characterized by a single length scale, the correlation length, which is a measure of the average spacing between regions of phase 1 and phase 2. The model also assumes smooth interfaces between the phases and hence exhibits Porod behavior \((I \sim q^{-4})\) at large \(q\), \((qL \gg 1)\).
The DAB model is ostensibly a development of the earlier Debye-Bueche model.
Definition
where scale is
and the parameter \(L\) is the correlation length.
For 2D data the scattering intensity is calculated in the same way as 1D, where the \(q\) vector is defined as
Source
References
P Debye, H R Anderson, H Brumberger, Scattering by an Inhomogeneous Solid. II. The Correlation Function and its Application, J. Appl. Phys., 28(6) (1957) 679
P Debye, A M Bueche, Scattering by an Inhomogeneous Solid, J. Appl. Phys., 20 (1949) 518
Source
Authorship and Verification
Author:
Last Modified by:
Last Reviewed by: Steve King & Peter Parker Date: September 09, 2013
Source added by : Steve King Date: March 25, 2019