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A New, Simple, Inexpensive Method for Non- Invasive Particle Size Measurements of Suspensions and Droplets D.Fairhurst Colloid Consultants Ltd., Congers, NY H.S.Dhadwal, B.Mukherjee SUNY Stony Brook, NY S.W.Race XiGo Nanotools Inc., Morganville, NJ NSTI Nanotech Anaheim, CA May,2005 ™ ™
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Time-dependent Light Scattering by Any Other Name IFS - Intensity Fluctuation Spectroscopy DLS - Dynamic Light Scattering PCS - Photon Correlation Spectroscopy QELS - Quasi-elastic Light Scattering
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Light Scattering History 1871 - Rayleigh Scattering Theory 1910 - Einstein Fluctuation Theory 1944 - Debye Theory for Polymer solutions 1964 - Pecora Theory for DLS 1964 - Cummins verifies experimentally 1969 - Pike suggests digital autocorrelator (PCS) 1990’s - Single-mode fiber optics introduced
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Nanomaterials will require tools for QC & for raw material specification in manufacturing Tools that can be used with minimal training single key-stroke operation Tools that are portable to go where you go, lab-to-plant Tools with customer replaceable parts easily serviced, no down-time Tools priced to fit QC applications New materials demand new solutions to old problems Take the instrument to the application
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Fiber Optics Classic DLS instrumentation use metal plate of large mass on which to configure the optics. expensive and requires precise alignment Fiber optics arrangements are: More compact More robust Less expensive Many application advantages Remote sensing inaccessible, hostile environments Higher concentration systems dilution, wash cycles and particle concentration effects eliminated
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Fiber Optics Problems and difficulties with previous fiber optic designs Multimode fibers Reduced intercept/baseline ratio Polarization not preserved Single fiber system Coupling Signal/concentration effects Low (<0.001) – local oscillator (homodyne) High (>0.2) – self beating
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Back Scatter Light Scattering Fiber optic probe design patented Eliminates need for directional coupler Self beating detection of scattered light Independent control of scattering volume and angle
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Back Scatter Light Scattering Elliptical Spot shape in the center of the scattering volume: 0.48mm x 0.35mm
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Brownian Motion of Particles and Fluctuation in Light Intensity Rate of intensity fluctuations varies with size of particles
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Instantaneous Photon Counts
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Photon Count Correlation Possible to measure the spectrum of frequencies contained in the intensity fluctuations arising from Brownian motion very inefficient Advent of digital auto correlator makes it easy construct correlation function analyze correlogram various algorithms Cumulants, NNLS, Contin…..
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Photon Count Correlation The coherence factor, : The correlation function, g ( 2 ) ( : s is the spatial coherence factor t is the temporal coherence factor
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Correlators are extremely complex electronic devices and add a significant cost in the manufacture of a particle sizing instrument It is possible to obtain size information directly from the photon stream, without the need for correlation Photon counting fluctuations represented by a doubly stochastic procedure Poisson process of the random arrival of photons Gaussian process of the Brownian motion Photon Counting Fluctuations
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Scattered intensity from particles undergoing Brownian motion has a Lorentzian power spectrum The variance of the random process associated with scattered intensity is: Brownian Motion I s is the time average intensity T s is the sample time is the Linewidth parameter (D t q 2 )
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Linewidth, = D t q 2 Scattering Wave Vector, q = 4 n sin( /2) o Stokes-Einstein Equation, D t = k b T 3 d h d h is the hydrodynamic particle diameter Basic Equations
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Consequence of hydrodynamic size Sample diluted in 0.01M KCl Avg. Size = 106nm Dist. Width = 24nm Sample diluted in DI water Avg. Size = 113nm Dist. Width = 27nm Polystyrene Latex Sample Nominal size 105nm Dist. Width = 24nm
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Coherence Factor Measurement of coherence at several integration times leads to particle size
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Computation of Particle Size The computational process can be simplified: Measurement of coherence at only two integration times Use of approximations in calculation of the coherence factor,
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Real Time Measurement of Particle Size Diameters from 3nm to 3000nm can be detected
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1 Brookhaven BI90 37 kg + PC! VGA PCPC Malvern Mastersizer 2000 VGA PCPC 31 kg + PC! Malvern Zetasizer Nano PCPC VGA 18 kg + PC! Xigo Nanotools Acorn <1 kg, no PC required! Size Comparison and Everyone else!
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The Particle Sizer Unit Size: 200 x 100 x 60 mm (LxWxH) Unit Weight: 0.5 Kg Probe dimension: 120mm long 3 mm diameter Viscosity Temperature Compensation Cable length: 0.5 meter (std) up to 100 meter Size Measurement Range: 3 to 3000 nm Specifications
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The Particle Sizer Battery operated GUI for easy use USB2.0 data interface CFR21 GMP compliant UL and CE certified Flash Memory Data Storage & Transfer Features
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Experimental results using the Nominal Conventional Acorn Particle Size DLS (90 0 ) (nm) (nm) (nm) 150 143 148 85 84 85 42 40 43 17 17 17
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Applications using the
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Particle Size as a function of Concentration for Ludox Silica
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Applications using the
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Microemulsion Technology Stratification and hydrodynamic instabilities Emulsion Polymerization Particle size growth Biochemical Manufacturing Real-time monitoring Radioactive waste Monitoring Remote sensing
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Advantages of the in Particle Sizing Portable Fits in your hand Simple to use Can be used in minutes Wide dynamic size range Spans the range Rugged Withstands QC demands Remote measurements Versatile Absolute No calibration Precise Reproducible
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704 Ginesi Drive Suite 15 Morganville, NJ 7751 www.xigonanotools.com (732) 536-9070 www.xigonanotools.com
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