# Lorentz

## Description:

Lorentz (Ornstein-Zernicke Model)

Definition

The Ornstein-Zernicke model is defined by

$$I(q)=\frac{\text{scale}}{1+(qL)^2}+\text{background}$$
The parameter $L$ is the screening length *cor_length*.

For 2D data the scattering intensity is calculated in the same way as 1D, where the $q$ vector is defined as

$$q=\sqrt{q_x^2 + q_y^2}$$

References

L.S. Qrnstein and F. Zernike, *Proc. Acad. Sci. Amsterdam* 17, 793 (1914), and *Z. Phys.* 19, 134 (1918), and 27, 761 {1926); referred to as QZ.

## Details:

 Created By sasview Uploaded Sept. 7, 2017, 3:56 p.m. Category Shape-Independent Score 0 Verified Verified by SasView Team on 07 Sep 2017 In Library This model is included in the SasView library by default Files lorentz.py