Theses and Dissertations from DePaul University

Date of Award

Summer 2026

Degree Type

Thesis

Degree Name

Master of Science (MS)

Department

Physics

College

College of Science and Health

First Advisor

Eric Landahl

Abstract

Dynamic light scattering (DLS) determines particle size from temporal fluctuations in coherently scattered light. Here a field-programmable gate array (FPGA) computes intensity autocorrelations in real time, and an automated diffractometer with custom 3D-printed cuvette, laser, homing, and GT2-gear mounts enables multi-angle measurements. Square-wave timing tests at 1 Hz, 100 Hz, and 10 kHz verified the correlator response. Calibrated latex spheres were then measured at seven scattering angles from 32.5◦ to 44.5◦. Each autocorrelation function was fit to the standard single-exponential form g(τ ) = B + βe−2Γτ with weights from analytic per-lag Poisson uncertainties σg = pg/N based on coincidence counts. The extracted decay rates Γ varied linearly with q2, yielding diffusion coefficients and hydrodynamic diameters of 94 ± 8, 397 ± 28, and 556 ± 64 nm for latex spheres of nominal size 90, 300, and 490 nm. Motor-induced noise was identified and removed by disabling the stepper drive during acquisition. These results support FPGA-based real-time correlation as a viable approach for quantitative multi-angle DLS at the proof-of-concept level.

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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Physics Commons

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