Lorentz

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.

Authorship and Verification

**Author:**
**Last Modified by:**
**Last Reviewed by:**