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∼q−4) at large q, (qL≫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

Fig. 97 1D plot corresponding to the default parameters of the model.
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