0
Research Papers: Micro/Nanoscale Heat Transfer

Sizing of Molybdenum Nanoparticles Using Time-Resolved Laser-Induced Incandescence

[+] Author and Article Information
K. J. Daun

e-mail: kjdaun@uwaterloo.ca
Department of Mechanical Engineering
and Mechatronics,
University of Waterloo,
Waterloo, ON, N2L 3G1, Canada

Y. Murakami

Hachinohe National College of Technology,
Hachinohe, Aomori Prefecture, 039-1192,
Japan

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received March 11, 2012; final manuscript received November 25, 2012; published online April 9, 2013. Assoc. Editor: Zhuomin Zhang.

J. Heat Transfer 135(5), 052401 (Apr 09, 2013) (8 pages) Paper No: HT-12-1090; doi: 10.1115/1.4023227 History: Received March 11, 2012; Revised November 25, 2012

Aerosolized metal nanoparticles have numerous existing and emerging applications in materials science, but their functionality in these roles is strongly size-dependent. Very recently, time-resolved laser-induced incandescence (TiRe-LII) has been investigated as a candidate for sizing aerosolized metal nanoparticles, which requires an accurate model of the heat transfer through which the laser-energized particles re-equilibrate with the bath gas. This paper presents such a model for molybdenum nanoparticles, which is then used to analyze experimental TiRe-LII data made on aerosols of molybdenum nanoparticles in helium, argon, nitrogen, and carbon dioxide. While it is possible to estimate the particle size distribution width, recovering particles sizes requires independent knowledge of the thermal accommodation coefficient, which is presently unknown.

FIGURES IN THIS ARTICLE
<>
Copyright © 2013 by ASME
Your Session has timed out. Please sign back in to continue.

References

Moisala, A., Nasibulin, A. G., and Kauppinen, E. I., 2003, “The Role of Metal Nanoparticles in the Catalytic Production of Single-Walled Carbon Nanotubes—A Review,” J. Phys.: Condens. Matter, 15, pp. S3011–S3035. [CrossRef]
Atwater, H. A., and Polman, A., 2010, “Plasmonics for Improved Photovoltaic Devices,” Nature Mater., 9, pp. 205–213. [CrossRef]
Wooldridge, M. S., 1998, “Gas-Phase Combustion Synthesis of Particles,” Prog. Energy Combust. Sci., 24, pp. 63–87. [CrossRef]
Melton, L. A., 1984, “Soot Diagnostics Based on Laser Heating,” Appl. Opt., 23, pp. 2201–2208. [CrossRef] [PubMed]
Filippov, A., Markus, M., and Roth, P., 1999, “In-Situ Characterization of Ultrafine Particles by Laser-Induced Incandescence: Sizing and Particle Structure Determination,” J. Aerosol Sci., 30, pp. 71–87. [CrossRef]
Liu, F., Daun, K., Snelling, D., and Smallwood, G., 2006, “Heat Conduction From a Spherical Nano-Particle: Status of Modeling Heat Conduction in Laser-Induced Incandescence,” Appl. Phys. B: Lasers Opt., 83, pp. 355–382. [CrossRef]
Starke, R., Kock, B., and Roth, P., 2003, “Nano-Particle Sizing by Laser-Induced-Incandescence (LII) in a Shock Wave Reactor,” Shock Waves, 12, pp. 351–360. [CrossRef]
Kock, B. F., Kayan, C., Knipping, J., Orthner, H. R., and Roth, P., 2005, “Comparison of LII and TEM Sizing During Synthesis of Iron Particle Chains,” Proc. Combust. Inst., 30, pp. 1689–1697. [CrossRef]
Friedlander, S., and Wang, C., 1966, “The Self-Preserving Particle Size Distribution for Coagulation by Brownian Motion,” J. Colloid Interface Sci., 22, pp. 126–132. [CrossRef]
Eremin, A., Gurentsov, E., and Schulz, C., 2008, “Influence of the Bath Gas on the Condensation of Supersaturated Iron Atom Vapour at Room Temperature,” J. Phys. D, 41, p. 055203. [CrossRef]
Reimann, J., Oltmann, H., Will, S., Bassano, E., Carotenuto, L., Lösch, S., Günther, B. H., 2010, “Laser Sintering on Nickel Aggregates Produced From Inert Gas Condensation,” Proceeding of the World Congress on Particle Technology 6, Nuremberg, Germany, Apr. 26–29.
Daun, K., Titantah, J., and Karttunen, M., 2012, “Molecular Dynamics Simulation of Thermal Accommodation Coefficients for Laser-Induced Incandescence Sizing of Nickel Particles,” Appl. Phys. B: Lasers Opt., 107, pp. 221–228. [CrossRef]
Murakami, Y., Sugatani, T., and Nosaka, Y., 2005, “Laser-Induced Incandescence Study on the Metal Aerosol Particles as the Effect of the Surrounding Gas Medium,” J. Phys. Chem. A, 109, pp. 8994–9000. [CrossRef] [PubMed]
Bohren, C. F., and Huffman, D. R., 1983, Absorption and Scattering of Light by Small Particles, John Wiley & Sons, New York.
Hinds, W. C., 1982, Aerosol Technology: Properties, Behavior, and Measurement of Airborne Particles, John Wiley and Sons, New York.
Roth, P., and Filippov, A. V., 1996, “In situ Ultrafine Particle Sizing by a Combination of Pulsed Laser Heatup and Particle Thermal Emission,”J. Aerosol Sci., 27, pp. 95–104. [CrossRef]
Daun, K. J., Stagg, B. J., Liu, F., Smallwood, G. J., and Snelling, D. R., 2007, “Determining Aerosol Particle Size Distributions Using Time-Resolved Laser-Induced Incadescence,”Appl. Phys. B, 87, pp. 363–372. [CrossRef]
Juenker, D., Leblanc, L., and Martin, C., 1968, “Optical Properties of Some Transition Metals,” J. Opt. Soc. Am., 58, pp. 164–171. [CrossRef]
Palik, E. D., ed., 1998, Handbook of Optical Constants of Solids, Academic Press, San Diego, CA.
Price, D. J., 1947, “The Temperature Variation of the Emissivity of Metals in the Near Infra-Red,”Proc. Phys. Soc., 59, pp. 131–138. [CrossRef]
Modest, M. F., 2003, Radiative Heat Transfer, 2nd ed., Academic Press, New York, p. 84.
Holland, P. W., and Welsch, R. E., 1977, “Robust Regression Using Iteratively Reweighted Least-Squares,” Commun. Stat: Theory Meth., 6, pp. 813–827. [CrossRef]
Paradis, P. F., Ishikawa, T., and Nosaka, Y., 2005, “Noncontact Measurements of Thermophysical Properties of Molybdenum at High Temperatures,”Int. J. Thermophys., 23, pp. 555–569. [CrossRef]
Daun, K. J., 2009, “Thermal Accommodation Coefficients Between Polyatomic Gas Molecules and Soot in Laser-Induced Incandescence Experiments,”Int. J. Heat Mass Transfer, 52, pp. 5081–5089. [CrossRef]
Filippov, A., and Rosner, D., 2000, “Energy Transfer Between an Aerosol Particle and Gas at High Temperature Ratios in the Knudsen Transition Regime,” Int. J. Heat Mass Transfer, 43, pp. 127–138. [CrossRef]
Fernández Guillermet, A., 1985, “Critical Evaluation of the Thermodynamic Properties of Molybdenum,” Int. J. Thermophys., 6, pp. 367–393. [CrossRef]
Nunomura, S., Yoshida, I., and Kondo, M., 2009, “Time-Dependent Gas Phase Kinetics in a Hydrogen Diluted Silane Plasma,”Appl. Phys. Lett., 94, p. 071502. [CrossRef]
Wu, C. F. J., 1986, “Jacknife, Bootstrap and Other Resampling Method in Regression Analysis,”Ann. Stat., 14, pp. 1261–1295. [CrossRef]
Cook, D. R., and Weisberg, S., 1982, Residuals and Influence in Regression, Chapman and Hall, New York.
Liu, F., Stagg, B. J., Snelling, D. R., and Smallwood, G. J., 2006, “Effects of Primary Soot Particle Size Distribution on the Temperature of Soot Particles Heated by a Nanosecond Pulsed Laser in an Atmospheric Laminar Diffusion Flame,” Int. J. Heat Mass Transfer, 49, pp. 777–788. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Experimental apparatus used in Ref. [13]

Grahic Jump Location
Fig. 2

Schematic of molybdenum nanoparticle formation through photolysis, and subsequent LII excitation

Grahic Jump Location
Fig. 3

Indices of refraction and the absorption function for molybdenum at 2200 K [18] and 300 K [19]

Grahic Jump Location
Fig. 4

Calculation of Teff(t) by robust regression of the spectroscopic incandescence data, Eq. (4) [13]

Grahic Jump Location
Fig. 5

Conduction, evaporation, and radiation heat transfer from a 30 nm molybdenum nanoparticle in argon

Grahic Jump Location
Fig. 6

Cooling curves for various particle sizes

Grahic Jump Location
Fig. 7

Contour plot of Eq. (16) minimizing F(α,dp,g,Ti), which shows no distinct minimum (contours are log-scale)

Grahic Jump Location
Fig. 8

Contour plot for minimization of F(dp,g,/α,σg,Ti), which has a distinct minimum (contours are log-scale)

Grahic Jump Location
Fig. 9

Experimentally determined effective temperatures and the best-fit modeled cooling rates found using the parameters in Table 1

Grahic Jump Location
Fig. 10

Results of regression following wild bootstrapping analysis overlaid on contour plot minimizing F(dp,g,/α,σg,Ti) (contours are log scale)

Grahic Jump Location
Fig. 11

Histogram showing the result of 250 bootstrap samples for argon yielding an average and an error bound

Grahic Jump Location
Fig. 12

Sensitivity of dp,g/α to selected input properties

Grahic Jump Location
Fig. 13

Plot of ln[Teff(t) – Tg] versus cooling time for molybdenum nanoparticles in argon, highlighting the influence of particle size dispersity on the data

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In