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Updated: Apr 29, 2026

Characterization of Nanocrystal Size Distribution using Raman Spectroscopy with a Multi-particle Phonon Confinement Model
Published on: August 22, 2015
Raman Labeled Nanoparticles: Characterization of Variability and Improved Method for Unmixing
Kranthi Kode1, Cathy Shachaf2, Sailaja Elchuri3
1Deparment of Radiology, Stanford University School of Medicine ; Computational and Mathematical Engineering, Stanford University School of Engineering.
A new algorithm, Narrow Peak Spectral Algorithm (NPSA), accurately quantifies multiple Raman nanoparticles simultaneously. NPSA significantly reduces errors compared to traditional methods, enabling precise nanoparticle concentration analysis.
Area of Science:
- Nanotechnology
- Spectroscopy
- Analytical Chemistry
Background:
- Raman spectroscopy offers high multiplexing potential for nanoparticle analysis due to unique spectral fingerprints.
- Quantitative unmixing of Raman spectra is hindered by peak overlaps and spectral variations (location, height, width).
- Inaccurate unmixing leads to significant errors in nanoparticle concentration determination.
Purpose of the Study:
- Develop and validate a mathematical model for quantitative unmixing of Raman spectra from nanoparticles.
- Enable simultaneous quantitation of multiple nanoparticle concentrations in complex samples.
- Improve accuracy in characterizing nanoparticle mixtures.
Main Methods:
- Developed the Narrow Peak Spectral Algorithm (NPSA) for quantitative spectral unmixing.
- Evaluated NPSA's performance in unmixing spectra from up to 7 Raman nanoparticles.
- Corrected for spectral variations including 30% intensity changes and peak shifts up to 10 cm⁻¹ (50% FWHM).
- Compared NPSA performance against conventional least squares (LS) analysis.
Main Results:
- NPSA successfully unmixed spectra from up to 7 Raman nanoparticles.
- NPSA demonstrated approximately 50% lower error than LS analysis.
- Error rates for NPSA were 10-16% (equal ratios) and 13-19% (unequal ratios) for 7 composite organic-inorganic nanoparticles (COINs).
- LS analysis showed significantly higher errors: 25-38% (equal) and 45-68% (unequal).
- Achieved quantitative unmixing of 7 nanoparticles with a maximum RMS % error below 20%.
Conclusions:
- NPSA provides a robust and accurate method for quantitative unmixing of complex Raman nanoparticle mixtures.
- The algorithm effectively handles spectral variations, improving unmixing accuracy.
- This represents a significant advancement for simultaneous multi-nanoparticle quantitation in various applications.
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