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:**

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 |

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