FCSXpert Solutions: Fluorescence Correlation Spectroscopy Simplified!.
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Autocorrelation Due to Isotropic 2D Translational Diffusion

The case of two-dimensional diffusion can be obtained either by following through a derivation similar to the three-dimensional diffusion derivation or by taking the limit of the three dimensional solution where κ goes to infinity. Both of these methods give the following equations:

equation equation