deerlab.dd_skewgauss#

dd_skewgauss = <deerlab.model.Model object>#

Skew Gaussian distribution model

Parameters:

rarray_like: Distance axis, in nanometers.
centerscalar: Center.
stdscalar: Spread.
skewscalar: Skewness.

Returns:

Pndarray: Distance distribution.

Notes

Parameter List

Name	Lower	Upper	Type	Frozen	Unit	Description
`center`	1	20	nonlin	No	nm	Center
`std`	0.05	2.5	nonlin	No	nm	Spread
`skew`	-25	25	nonlin	No		Skewness

Model

$P(r) = \frac{1}{\sqrt{2\pi}}\exp\left(-\frac{(r-\left<r\right>)^2}{2\sigma^2}\right)\left(1 + \mathrm{erf}\left(\alpha\frac{(r-\left<r\right>)}{\sqrt{2}\sigma}\right) \right)$

where $\left<r\right>$ is the center distance, $\sigma$ is the spread, and $\alpha$ is the skewness of the distribution.

Examples

Example of the model evaluated at the start values of the parameters:

(Source code, png, hires.png, pdf)