The unweighted fit of the correlation curve is done using the Levenberg-Marquart algorithm. Reduced chi2 is calculated as follows:

where Gt is the correlation curve value, F​t the fit value, N the number of correlation/fit values and DF the number of fit parameters.

Auto Correlation Fit Models

You can select one of the following models:

One Component 2D

One Component 3D

Two Component 2D

Two Component 3D

One Component Anomalous 2D

One Component Anomalous 3D

Parameters

The parameters used in the calculations are the following:

Parameter

Description

A

The correlation amplitude.

Tt

The triplet fraction.

Td1

The translational diffusion time.

S

The structural parameter.

τt

τt = 3µs is the fixed triplet relaxation time.

cf1

The first component fraction.