deerlab.dd_gauss3#

dd_gauss3 = <deerlab.model.Model object>#

Sum of three Gaussian distributions model

Parameters:

rarray_like: Distance axis, in nanometers.
mean1scalar: 1st Gaussian mean.
std1scalar: 1st Gaussian standard deviation.
mean2scalar: 2nd Gaussian mean.
std2scalar: 2nd Gaussian standard deviation.
mean3scalar: 3rd Gaussian mean.
std3scalar: 3rd Gaussian standard deviation.
amp1scalar: 1st Gaussian amplitude.
amp2scalar: 2nd Gaussian amplitude.
amp3scalar: 3rd Gaussian amplitude.

Returns:

Pndarray: Distance distribution.

Notes

Parameter List

Name	Lower	Upper	Type	Frozen	Unit	Description
`mean1`	1	20	nonlin	No	nm	1st Gaussian mean
`std1`	0.05	2.5	nonlin	No	nm	1st Gaussian standard deviation
`mean2`	1	20	nonlin	No	nm	2nd Gaussian mean
`std2`	0.05	2.5	nonlin	No	nm	2nd Gaussian standard deviation
`mean3`	1	20	nonlin	No	nm	3rd Gaussian mean
`std3`	0.05	2.5	nonlin	No	nm	3rd Gaussian standard deviation
`amp1`	0	inf	linear	No		1st Gaussian amplitude
`amp2`	0	inf	linear	No		2nd Gaussian amplitude
`amp3`	0	inf	linear	No		3rd Gaussian amplitude

Model

$P(r) = a_1\frac{1}{\sigma_1\sqrt{2\pi}}\exp\left(-\frac{(r-\left<r_1\right>)^2}{2\sigma_1^2}\right) + a_2\frac{1}{\sigma_2\sqrt{2\pi}}\exp\left(-\frac{(r-\left<r_2\right>)^2}{2\sigma_2^2}\right)$