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ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis

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Statistical fitting accuracy in photon correlation spectroscopy.

J N Shaumeyer, M E Briggs, R W Gammon

|September 11, 2010

Summary

This summary is machine-generated.

Photon correlation spectroscopy (PCS) accuracy was studied using two correlators and fitting methods. Both methods yielded similar results, with a minor 1% difference in decay rates, confirming no sample-time dependence in errors.

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Area of Science:

Photonics
Materials Science
Physical Chemistry

Background:

Photon correlation spectroscopy (PCS) is crucial for determining particle size.
Accurate fitting of correlograms is essential for reliable PCS measurements.
Previous studies indicated no sample-time dependence in decay rate errors.

Purpose of the Study:

To experimentally investigate the fitting accuracy of photon correlation spectroscopy.
To compare the performance of two different correlator channel spacings.
To compare two distinct data fitting techniques for decay rate extraction.

Main Methods:

Collected 150 correlograms of light scattered at 90° from 91-nm polystyrene latex spheres.
Utilized two correlators: one with linearly spaced channels and one with geometrically spaced channels.
Extracted decay rates using nonlinear, least-squares fits and second-order cumulant fits.

Main Results:

Verified that decay rate errors show no sample-time dependence.
Found that nonlinear, least-squares fits and second-order cumulant fits yielded decay rates differing by 1%.
Demonstrated comparable fitting accuracy between the two correlator types.

Conclusions:

Both fitting techniques provide highly accurate decay rate measurements in PCS.
The choice between linear and geometric channel spacing has minimal impact on accuracy.
Confirms the robustness of PCS for particle size analysis.