power_law

Simple power law with a flat background

Parameter	Description	Units	Default value
scale	Source intensity	None	1
background	Source background	cm-1	0.001
power	Power law exponent	None	4

The returned value is scaled to units of cm^-1 sr^-1, absolute scale.

This model calculates a simple power law with a flat background.

Definition

\[I(q) = \text{scale} \cdot q^{-\text{power}} + \text{background}\]

Note the minus sign in front of the exponent. The exponent power should therefore be entered as a positive number for fitting.

Also note that unlike many other models, scale in this model is NOT explicitly related to a volume fraction. Be careful if combining this model with other models.

Fig. 114 1D plot corresponding to the default parameters of the model.

References

None.