Abstract

This experimental and theoretical study of light scattering techniques addresses the questions of deconvolution of light scattering data (phase functions and optical resonance spectra) from droplets and the uniqueness of that deconvolution for the measurement of size and refractive index of microspheres. Theory and experiment are compared for single component and multicomponent microdroplets and for layered microspheres levitated in electrodynamic balances. Size changes of the order of 1 Å have been measured by tracking resonance shifts of slowly evaporating single component droplets. For multicomponent droplet evaporation, which involves simultaneous size and refractive index changes, and for rapid evaporation, precision is reduced to ∼1 part in 104 for each parameter.

© 1991 Optical Society of America

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  1. F. T. Gucker, J. J. Egan, “Measurement of the Angular Variation of Light Scattered from Single Aerosol Droplets,” J. Colloid Sci. 16, 68–84 (1961).
    [Crossref]
  2. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).
  3. A. Ashkin, J. M. Dziedzic, “Observations of Resonances in the Radiation Pressure on Dielectric Spheres,” Phys. Rev. Lett. 38, 1351–1354 (1977).
    [Crossref]
  4. E. J. Davis, “Single Aerocolloidal Particle Instrumentation and Measurements,” in Surface and Colloid Science, Vol. 14, E. Matijevic, Ed. (Plenum, New York, 1987).
    [Crossref]
  5. S. C. Hill, R. E. Benner, “Morphology-Dependent Resonances,” in Optical Effects Associated with Small Particles, P. W. Barber, R. K. Change, Eds. (World Scientific, Singapore, 1988).
  6. P. Chylek, J. T. Kiehl, M. K. W. Ko, “Optical Levitation and Partial Wave Resonances,” Phys. Rev. A 18, 2229–2233 (1978).
    [Crossref]
  7. A. Ashkin, J. M. Dziedzic, “Observation of Optical Resonances of Dielectric Spheres by Light Scattering,” Appl. Opt. 20, 1803–1814 (1981).
    [Crossref] [PubMed]
  8. A. Ashkin, J. M. Dziedzic, R. H. Stolen, “Outer Diameter Measurement of Low Birefringence Optical Fibers by a New Resonant Backscatter Technique,” Appl. Opt. 20, 2299–2303 (1981).
    [Crossref] [PubMed]
  9. C. B. Richardson, H.-B. Lin, R. McGraw, I. N. Tang, “Growth Rate Measurements for Single Suspended Droplets Using the Optical Resonance Method,” Aerosol Sci. Tech. 5, 103–112 (1986).
    [Crossref]
  10. K. H. Fung, I. N. Tang, H. R. Munkelwitz, “Study of Condensational Growth of Water Droplets by Mie Resonance Spectroscopy,” Appl. Opt. 26, 1282–1287 (1987).
    [Crossref] [PubMed]
  11. D. C. Taflin, E. J. Davis, “Mass Transfer from an Aerosol Droplet at Intermediate Peclet Numbers,” Chem. Eng. Commun. 55, 199–210 (1987).
    [Crossref]
  12. C. B. Richardson, R. L. Hightower, A. L. Pigg, “Optical Measurements of the Evaporation of Sulfuric Acid Droplets,” Appl. Opt. 25, 1226–1229 (1986).
    [Crossref] [PubMed]
  13. D. C. Taflin, S. H. Zhang, T. Allen, E. J. Davis, “Measurement of Droplet Interfacial Phenomena by Light-Scattering Techniques,” AIChE. J. 34, 1310–1320 (1988).
    [Crossref]
  14. A. K. Ray, R. D. Johnson, A. Souyri, “Dynamic Behavior of Single Glycerol Droplets in Humid Air Streams,” Langmuir 5, 133–140 (1989).
    [Crossref]
  15. I. N. Tang, H. R. Munkelwitz, “Evaporation Kinetics of Ammonium Chloride Solution Droplets in Water Vapor,” J. Colloid Interface Sci. 128, 289–295 (1989).
    [Crossref]
  16. T. M. Allen, D. C. Taflin, E. J. Davis, “Determination of Activity Coefficients via Microdroplet Evaporation Experiments,” Ind. Eng. Chem. Res. 29, 682–690 (1990).
    [Crossref]
  17. P. Chylek, V. Ramaswamy, A. Ashkin, J. M. Dziedzic, “Simultaneous Determination of Refractive Index and Size of Spherical Dielectric Particles from Light Scattering Data,” Appl. Opt. 22, 2302–2307 (1983).
    [Crossref] [PubMed]
  18. D. C. Taflin, E. J. Davis, “A Study of Aerosol Chemical Reactions by Optical Resonance Spectroscopy,” J. Aerosol Sci. 21, 73–86 (1990).
    [Crossref]
  19. E. J. Davis, R. Periasamy, “Light-Scattering and Aerodynamic Size Measurements for Homogeneous and Inhomogeneous Microspheres,” Langmuir 1, 373–379 (1985).
    [Crossref]
  20. R. L. Hightower, C. B. Richardson, H.-B. Lin, J. D. Eversole, A. J. Campillo, “Measurements of Scattering of Light from Layered Microspheres,” Opt. Lett. 9, 946–948 (1988).
    [Crossref]
  21. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).
  22. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Interscience, New York, 1983).
  23. A. L. Aden, M. Kerker, “Scattering of Electromagnetic Waves from Two Concentric Spheres,” J. Appl. Phys. 22, 1242–1246 (1951).
    [Crossref]
  24. R. L. Hightower, C. B. Richardson, “Resonant Mie Scattering from a Layered Sphere,” Appl. Opt. 27, 4850–4855 (1988).
    [Crossref] [PubMed]
  25. E. J. Davis, “The Picobalance for Single Microparticle Measurements,” ISA Trans. 26, 1–5 (1987).
  26. R. F. Wuerker, H. Shelton, R. V. Langmuir, “Electrodynamic Containment of Charged Particles,” J. Appl. Phys. 30, 342– 349 (1959).
    [Crossref]
  27. E. J. Davis, M. F. Buehler, T. L. Ward, “The Double-Ring Electrodynamic Balance for Microparticle Characterization,” Rev. Sci. Instrum. 61, 1281–1288 (1990).
    [Crossref]
  28. P. R. Conwell, P. W. Barber, C. K. Rushforth, “Resonant Spectra of Dielectric Spheres,” J. Opt. Soc. Am. A 1, 62–67 (1984).
    [Crossref]
  29. S. Arnold, M. Neuman, A. B. Pluchino, “Molecular Spectroscopy of A Single Aerosol Particle,” Opt. Lett. 9, 4–6 (1984).
    [Crossref] [PubMed]
  30. G. Sageev-Grader, R. C. Flagan, S. Arnold, J. H. Seinfeld, “FTIR Spectrometer for a Single Aerosol Particle,” Rev. Sci. Instrum. 58, 584–587 (1987).
    [Crossref]
  31. E. J. Davis, P. Ravindran, “Multicomponent Evaporation of Single Aerosol Droplets,” J. Colloid Interface Sci., 85, 278–288 (1982).
    [Crossref]

1990 (3)

T. M. Allen, D. C. Taflin, E. J. Davis, “Determination of Activity Coefficients via Microdroplet Evaporation Experiments,” Ind. Eng. Chem. Res. 29, 682–690 (1990).
[Crossref]

D. C. Taflin, E. J. Davis, “A Study of Aerosol Chemical Reactions by Optical Resonance Spectroscopy,” J. Aerosol Sci. 21, 73–86 (1990).
[Crossref]

E. J. Davis, M. F. Buehler, T. L. Ward, “The Double-Ring Electrodynamic Balance for Microparticle Characterization,” Rev. Sci. Instrum. 61, 1281–1288 (1990).
[Crossref]

1989 (2)

A. K. Ray, R. D. Johnson, A. Souyri, “Dynamic Behavior of Single Glycerol Droplets in Humid Air Streams,” Langmuir 5, 133–140 (1989).
[Crossref]

I. N. Tang, H. R. Munkelwitz, “Evaporation Kinetics of Ammonium Chloride Solution Droplets in Water Vapor,” J. Colloid Interface Sci. 128, 289–295 (1989).
[Crossref]

1988 (3)

D. C. Taflin, S. H. Zhang, T. Allen, E. J. Davis, “Measurement of Droplet Interfacial Phenomena by Light-Scattering Techniques,” AIChE. J. 34, 1310–1320 (1988).
[Crossref]

R. L. Hightower, C. B. Richardson, H.-B. Lin, J. D. Eversole, A. J. Campillo, “Measurements of Scattering of Light from Layered Microspheres,” Opt. Lett. 9, 946–948 (1988).
[Crossref]

R. L. Hightower, C. B. Richardson, “Resonant Mie Scattering from a Layered Sphere,” Appl. Opt. 27, 4850–4855 (1988).
[Crossref] [PubMed]

1987 (4)

K. H. Fung, I. N. Tang, H. R. Munkelwitz, “Study of Condensational Growth of Water Droplets by Mie Resonance Spectroscopy,” Appl. Opt. 26, 1282–1287 (1987).
[Crossref] [PubMed]

G. Sageev-Grader, R. C. Flagan, S. Arnold, J. H. Seinfeld, “FTIR Spectrometer for a Single Aerosol Particle,” Rev. Sci. Instrum. 58, 584–587 (1987).
[Crossref]

E. J. Davis, “The Picobalance for Single Microparticle Measurements,” ISA Trans. 26, 1–5 (1987).

D. C. Taflin, E. J. Davis, “Mass Transfer from an Aerosol Droplet at Intermediate Peclet Numbers,” Chem. Eng. Commun. 55, 199–210 (1987).
[Crossref]

1986 (2)

C. B. Richardson, H.-B. Lin, R. McGraw, I. N. Tang, “Growth Rate Measurements for Single Suspended Droplets Using the Optical Resonance Method,” Aerosol Sci. Tech. 5, 103–112 (1986).
[Crossref]

C. B. Richardson, R. L. Hightower, A. L. Pigg, “Optical Measurements of the Evaporation of Sulfuric Acid Droplets,” Appl. Opt. 25, 1226–1229 (1986).
[Crossref] [PubMed]

1985 (1)

E. J. Davis, R. Periasamy, “Light-Scattering and Aerodynamic Size Measurements for Homogeneous and Inhomogeneous Microspheres,” Langmuir 1, 373–379 (1985).
[Crossref]

1984 (2)

1983 (1)

1982 (1)

E. J. Davis, P. Ravindran, “Multicomponent Evaporation of Single Aerosol Droplets,” J. Colloid Interface Sci., 85, 278–288 (1982).
[Crossref]

1981 (2)

1978 (1)

P. Chylek, J. T. Kiehl, M. K. W. Ko, “Optical Levitation and Partial Wave Resonances,” Phys. Rev. A 18, 2229–2233 (1978).
[Crossref]

1977 (1)

A. Ashkin, J. M. Dziedzic, “Observations of Resonances in the Radiation Pressure on Dielectric Spheres,” Phys. Rev. Lett. 38, 1351–1354 (1977).
[Crossref]

1961 (1)

F. T. Gucker, J. J. Egan, “Measurement of the Angular Variation of Light Scattered from Single Aerosol Droplets,” J. Colloid Sci. 16, 68–84 (1961).
[Crossref]

1959 (1)

R. F. Wuerker, H. Shelton, R. V. Langmuir, “Electrodynamic Containment of Charged Particles,” J. Appl. Phys. 30, 342– 349 (1959).
[Crossref]

1951 (1)

A. L. Aden, M. Kerker, “Scattering of Electromagnetic Waves from Two Concentric Spheres,” J. Appl. Phys. 22, 1242–1246 (1951).
[Crossref]

Aden, A. L.

A. L. Aden, M. Kerker, “Scattering of Electromagnetic Waves from Two Concentric Spheres,” J. Appl. Phys. 22, 1242–1246 (1951).
[Crossref]

Allen, T.

D. C. Taflin, S. H. Zhang, T. Allen, E. J. Davis, “Measurement of Droplet Interfacial Phenomena by Light-Scattering Techniques,” AIChE. J. 34, 1310–1320 (1988).
[Crossref]

Allen, T. M.

T. M. Allen, D. C. Taflin, E. J. Davis, “Determination of Activity Coefficients via Microdroplet Evaporation Experiments,” Ind. Eng. Chem. Res. 29, 682–690 (1990).
[Crossref]

Arnold, S.

G. Sageev-Grader, R. C. Flagan, S. Arnold, J. H. Seinfeld, “FTIR Spectrometer for a Single Aerosol Particle,” Rev. Sci. Instrum. 58, 584–587 (1987).
[Crossref]

S. Arnold, M. Neuman, A. B. Pluchino, “Molecular Spectroscopy of A Single Aerosol Particle,” Opt. Lett. 9, 4–6 (1984).
[Crossref] [PubMed]

Ashkin, A.

Barber, P. W.

Benner, R. E.

S. C. Hill, R. E. Benner, “Morphology-Dependent Resonances,” in Optical Effects Associated with Small Particles, P. W. Barber, R. K. Change, Eds. (World Scientific, Singapore, 1988).

Bohren, C. F.

C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Interscience, New York, 1983).

Buehler, M. F.

E. J. Davis, M. F. Buehler, T. L. Ward, “The Double-Ring Electrodynamic Balance for Microparticle Characterization,” Rev. Sci. Instrum. 61, 1281–1288 (1990).
[Crossref]

Campillo, A. J.

R. L. Hightower, C. B. Richardson, H.-B. Lin, J. D. Eversole, A. J. Campillo, “Measurements of Scattering of Light from Layered Microspheres,” Opt. Lett. 9, 946–948 (1988).
[Crossref]

Chylek, P.

Conwell, P. R.

Davis, E. J.

E. J. Davis, M. F. Buehler, T. L. Ward, “The Double-Ring Electrodynamic Balance for Microparticle Characterization,” Rev. Sci. Instrum. 61, 1281–1288 (1990).
[Crossref]

T. M. Allen, D. C. Taflin, E. J. Davis, “Determination of Activity Coefficients via Microdroplet Evaporation Experiments,” Ind. Eng. Chem. Res. 29, 682–690 (1990).
[Crossref]

D. C. Taflin, E. J. Davis, “A Study of Aerosol Chemical Reactions by Optical Resonance Spectroscopy,” J. Aerosol Sci. 21, 73–86 (1990).
[Crossref]

D. C. Taflin, S. H. Zhang, T. Allen, E. J. Davis, “Measurement of Droplet Interfacial Phenomena by Light-Scattering Techniques,” AIChE. J. 34, 1310–1320 (1988).
[Crossref]

D. C. Taflin, E. J. Davis, “Mass Transfer from an Aerosol Droplet at Intermediate Peclet Numbers,” Chem. Eng. Commun. 55, 199–210 (1987).
[Crossref]

E. J. Davis, “The Picobalance for Single Microparticle Measurements,” ISA Trans. 26, 1–5 (1987).

E. J. Davis, R. Periasamy, “Light-Scattering and Aerodynamic Size Measurements for Homogeneous and Inhomogeneous Microspheres,” Langmuir 1, 373–379 (1985).
[Crossref]

E. J. Davis, P. Ravindran, “Multicomponent Evaporation of Single Aerosol Droplets,” J. Colloid Interface Sci., 85, 278–288 (1982).
[Crossref]

E. J. Davis, “Single Aerocolloidal Particle Instrumentation and Measurements,” in Surface and Colloid Science, Vol. 14, E. Matijevic, Ed. (Plenum, New York, 1987).
[Crossref]

Dziedzic, J. M.

Egan, J. J.

F. T. Gucker, J. J. Egan, “Measurement of the Angular Variation of Light Scattered from Single Aerosol Droplets,” J. Colloid Sci. 16, 68–84 (1961).
[Crossref]

Eversole, J. D.

R. L. Hightower, C. B. Richardson, H.-B. Lin, J. D. Eversole, A. J. Campillo, “Measurements of Scattering of Light from Layered Microspheres,” Opt. Lett. 9, 946–948 (1988).
[Crossref]

Flagan, R. C.

G. Sageev-Grader, R. C. Flagan, S. Arnold, J. H. Seinfeld, “FTIR Spectrometer for a Single Aerosol Particle,” Rev. Sci. Instrum. 58, 584–587 (1987).
[Crossref]

Fung, K. H.

Gucker, F. T.

F. T. Gucker, J. J. Egan, “Measurement of the Angular Variation of Light Scattered from Single Aerosol Droplets,” J. Colloid Sci. 16, 68–84 (1961).
[Crossref]

Hightower, R. L.

Hill, S. C.

S. C. Hill, R. E. Benner, “Morphology-Dependent Resonances,” in Optical Effects Associated with Small Particles, P. W. Barber, R. K. Change, Eds. (World Scientific, Singapore, 1988).

Huffman, D. R.

C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Interscience, New York, 1983).

Johnson, R. D.

A. K. Ray, R. D. Johnson, A. Souyri, “Dynamic Behavior of Single Glycerol Droplets in Humid Air Streams,” Langmuir 5, 133–140 (1989).
[Crossref]

Kerker, M.

A. L. Aden, M. Kerker, “Scattering of Electromagnetic Waves from Two Concentric Spheres,” J. Appl. Phys. 22, 1242–1246 (1951).
[Crossref]

M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).

Kiehl, J. T.

P. Chylek, J. T. Kiehl, M. K. W. Ko, “Optical Levitation and Partial Wave Resonances,” Phys. Rev. A 18, 2229–2233 (1978).
[Crossref]

Ko, M. K. W.

P. Chylek, J. T. Kiehl, M. K. W. Ko, “Optical Levitation and Partial Wave Resonances,” Phys. Rev. A 18, 2229–2233 (1978).
[Crossref]

Langmuir, R. V.

R. F. Wuerker, H. Shelton, R. V. Langmuir, “Electrodynamic Containment of Charged Particles,” J. Appl. Phys. 30, 342– 349 (1959).
[Crossref]

Lin, H.-B.

R. L. Hightower, C. B. Richardson, H.-B. Lin, J. D. Eversole, A. J. Campillo, “Measurements of Scattering of Light from Layered Microspheres,” Opt. Lett. 9, 946–948 (1988).
[Crossref]

C. B. Richardson, H.-B. Lin, R. McGraw, I. N. Tang, “Growth Rate Measurements for Single Suspended Droplets Using the Optical Resonance Method,” Aerosol Sci. Tech. 5, 103–112 (1986).
[Crossref]

McGraw, R.

C. B. Richardson, H.-B. Lin, R. McGraw, I. N. Tang, “Growth Rate Measurements for Single Suspended Droplets Using the Optical Resonance Method,” Aerosol Sci. Tech. 5, 103–112 (1986).
[Crossref]

Munkelwitz, H. R.

I. N. Tang, H. R. Munkelwitz, “Evaporation Kinetics of Ammonium Chloride Solution Droplets in Water Vapor,” J. Colloid Interface Sci. 128, 289–295 (1989).
[Crossref]

K. H. Fung, I. N. Tang, H. R. Munkelwitz, “Study of Condensational Growth of Water Droplets by Mie Resonance Spectroscopy,” Appl. Opt. 26, 1282–1287 (1987).
[Crossref] [PubMed]

Neuman, M.

Periasamy, R.

E. J. Davis, R. Periasamy, “Light-Scattering and Aerodynamic Size Measurements for Homogeneous and Inhomogeneous Microspheres,” Langmuir 1, 373–379 (1985).
[Crossref]

Pigg, A. L.

Pluchino, A. B.

Ramaswamy, V.

Ravindran, P.

E. J. Davis, P. Ravindran, “Multicomponent Evaporation of Single Aerosol Droplets,” J. Colloid Interface Sci., 85, 278–288 (1982).
[Crossref]

Ray, A. K.

A. K. Ray, R. D. Johnson, A. Souyri, “Dynamic Behavior of Single Glycerol Droplets in Humid Air Streams,” Langmuir 5, 133–140 (1989).
[Crossref]

Richardson, C. B.

R. L. Hightower, C. B. Richardson, H.-B. Lin, J. D. Eversole, A. J. Campillo, “Measurements of Scattering of Light from Layered Microspheres,” Opt. Lett. 9, 946–948 (1988).
[Crossref]

R. L. Hightower, C. B. Richardson, “Resonant Mie Scattering from a Layered Sphere,” Appl. Opt. 27, 4850–4855 (1988).
[Crossref] [PubMed]

C. B. Richardson, R. L. Hightower, A. L. Pigg, “Optical Measurements of the Evaporation of Sulfuric Acid Droplets,” Appl. Opt. 25, 1226–1229 (1986).
[Crossref] [PubMed]

C. B. Richardson, H.-B. Lin, R. McGraw, I. N. Tang, “Growth Rate Measurements for Single Suspended Droplets Using the Optical Resonance Method,” Aerosol Sci. Tech. 5, 103–112 (1986).
[Crossref]

Rushforth, C. K.

Sageev-Grader, G.

G. Sageev-Grader, R. C. Flagan, S. Arnold, J. H. Seinfeld, “FTIR Spectrometer for a Single Aerosol Particle,” Rev. Sci. Instrum. 58, 584–587 (1987).
[Crossref]

Seinfeld, J. H.

G. Sageev-Grader, R. C. Flagan, S. Arnold, J. H. Seinfeld, “FTIR Spectrometer for a Single Aerosol Particle,” Rev. Sci. Instrum. 58, 584–587 (1987).
[Crossref]

Shelton, H.

R. F. Wuerker, H. Shelton, R. V. Langmuir, “Electrodynamic Containment of Charged Particles,” J. Appl. Phys. 30, 342– 349 (1959).
[Crossref]

Souyri, A.

A. K. Ray, R. D. Johnson, A. Souyri, “Dynamic Behavior of Single Glycerol Droplets in Humid Air Streams,” Langmuir 5, 133–140 (1989).
[Crossref]

Stolen, R. H.

Taflin, D. C.

D. C. Taflin, E. J. Davis, “A Study of Aerosol Chemical Reactions by Optical Resonance Spectroscopy,” J. Aerosol Sci. 21, 73–86 (1990).
[Crossref]

T. M. Allen, D. C. Taflin, E. J. Davis, “Determination of Activity Coefficients via Microdroplet Evaporation Experiments,” Ind. Eng. Chem. Res. 29, 682–690 (1990).
[Crossref]

D. C. Taflin, S. H. Zhang, T. Allen, E. J. Davis, “Measurement of Droplet Interfacial Phenomena by Light-Scattering Techniques,” AIChE. J. 34, 1310–1320 (1988).
[Crossref]

D. C. Taflin, E. J. Davis, “Mass Transfer from an Aerosol Droplet at Intermediate Peclet Numbers,” Chem. Eng. Commun. 55, 199–210 (1987).
[Crossref]

Tang, I. N.

I. N. Tang, H. R. Munkelwitz, “Evaporation Kinetics of Ammonium Chloride Solution Droplets in Water Vapor,” J. Colloid Interface Sci. 128, 289–295 (1989).
[Crossref]

K. H. Fung, I. N. Tang, H. R. Munkelwitz, “Study of Condensational Growth of Water Droplets by Mie Resonance Spectroscopy,” Appl. Opt. 26, 1282–1287 (1987).
[Crossref] [PubMed]

C. B. Richardson, H.-B. Lin, R. McGraw, I. N. Tang, “Growth Rate Measurements for Single Suspended Droplets Using the Optical Resonance Method,” Aerosol Sci. Tech. 5, 103–112 (1986).
[Crossref]

van de Hulst, H. C.

H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).

Ward, T. L.

E. J. Davis, M. F. Buehler, T. L. Ward, “The Double-Ring Electrodynamic Balance for Microparticle Characterization,” Rev. Sci. Instrum. 61, 1281–1288 (1990).
[Crossref]

Wuerker, R. F.

R. F. Wuerker, H. Shelton, R. V. Langmuir, “Electrodynamic Containment of Charged Particles,” J. Appl. Phys. 30, 342– 349 (1959).
[Crossref]

Zhang, S. H.

D. C. Taflin, S. H. Zhang, T. Allen, E. J. Davis, “Measurement of Droplet Interfacial Phenomena by Light-Scattering Techniques,” AIChE. J. 34, 1310–1320 (1988).
[Crossref]

Aerosol Sci. Tech. (1)

C. B. Richardson, H.-B. Lin, R. McGraw, I. N. Tang, “Growth Rate Measurements for Single Suspended Droplets Using the Optical Resonance Method,” Aerosol Sci. Tech. 5, 103–112 (1986).
[Crossref]

AIChE. J. (1)

D. C. Taflin, S. H. Zhang, T. Allen, E. J. Davis, “Measurement of Droplet Interfacial Phenomena by Light-Scattering Techniques,” AIChE. J. 34, 1310–1320 (1988).
[Crossref]

Appl. Opt. (6)

Chem. Eng. Commun. (1)

D. C. Taflin, E. J. Davis, “Mass Transfer from an Aerosol Droplet at Intermediate Peclet Numbers,” Chem. Eng. Commun. 55, 199–210 (1987).
[Crossref]

Ind. Eng. Chem. Res. (1)

T. M. Allen, D. C. Taflin, E. J. Davis, “Determination of Activity Coefficients via Microdroplet Evaporation Experiments,” Ind. Eng. Chem. Res. 29, 682–690 (1990).
[Crossref]

ISA Trans. (1)

E. J. Davis, “The Picobalance for Single Microparticle Measurements,” ISA Trans. 26, 1–5 (1987).

J. Aerosol Sci. (1)

D. C. Taflin, E. J. Davis, “A Study of Aerosol Chemical Reactions by Optical Resonance Spectroscopy,” J. Aerosol Sci. 21, 73–86 (1990).
[Crossref]

J. Appl. Phys. (2)

R. F. Wuerker, H. Shelton, R. V. Langmuir, “Electrodynamic Containment of Charged Particles,” J. Appl. Phys. 30, 342– 349 (1959).
[Crossref]

A. L. Aden, M. Kerker, “Scattering of Electromagnetic Waves from Two Concentric Spheres,” J. Appl. Phys. 22, 1242–1246 (1951).
[Crossref]

J. Colloid Interface Sci. (2)

E. J. Davis, P. Ravindran, “Multicomponent Evaporation of Single Aerosol Droplets,” J. Colloid Interface Sci., 85, 278–288 (1982).
[Crossref]

I. N. Tang, H. R. Munkelwitz, “Evaporation Kinetics of Ammonium Chloride Solution Droplets in Water Vapor,” J. Colloid Interface Sci. 128, 289–295 (1989).
[Crossref]

J. Colloid Sci. (1)

F. T. Gucker, J. J. Egan, “Measurement of the Angular Variation of Light Scattered from Single Aerosol Droplets,” J. Colloid Sci. 16, 68–84 (1961).
[Crossref]

J. Opt. Soc. Am. A (1)

Langmuir (2)

E. J. Davis, R. Periasamy, “Light-Scattering and Aerodynamic Size Measurements for Homogeneous and Inhomogeneous Microspheres,” Langmuir 1, 373–379 (1985).
[Crossref]

A. K. Ray, R. D. Johnson, A. Souyri, “Dynamic Behavior of Single Glycerol Droplets in Humid Air Streams,” Langmuir 5, 133–140 (1989).
[Crossref]

Opt. Lett. (2)

R. L. Hightower, C. B. Richardson, H.-B. Lin, J. D. Eversole, A. J. Campillo, “Measurements of Scattering of Light from Layered Microspheres,” Opt. Lett. 9, 946–948 (1988).
[Crossref]

S. Arnold, M. Neuman, A. B. Pluchino, “Molecular Spectroscopy of A Single Aerosol Particle,” Opt. Lett. 9, 4–6 (1984).
[Crossref] [PubMed]

Phys. Rev. A (1)

P. Chylek, J. T. Kiehl, M. K. W. Ko, “Optical Levitation and Partial Wave Resonances,” Phys. Rev. A 18, 2229–2233 (1978).
[Crossref]

Phys. Rev. Lett. (1)

A. Ashkin, J. M. Dziedzic, “Observations of Resonances in the Radiation Pressure on Dielectric Spheres,” Phys. Rev. Lett. 38, 1351–1354 (1977).
[Crossref]

Rev. Sci. Instrum. (2)

G. Sageev-Grader, R. C. Flagan, S. Arnold, J. H. Seinfeld, “FTIR Spectrometer for a Single Aerosol Particle,” Rev. Sci. Instrum. 58, 584–587 (1987).
[Crossref]

E. J. Davis, M. F. Buehler, T. L. Ward, “The Double-Ring Electrodynamic Balance for Microparticle Characterization,” Rev. Sci. Instrum. 61, 1281–1288 (1990).
[Crossref]

Other (5)

E. J. Davis, “Single Aerocolloidal Particle Instrumentation and Measurements,” in Surface and Colloid Science, Vol. 14, E. Matijevic, Ed. (Plenum, New York, 1987).
[Crossref]

S. C. Hill, R. E. Benner, “Morphology-Dependent Resonances,” in Optical Effects Associated with Small Particles, P. W. Barber, R. K. Change, Eds. (World Scientific, Singapore, 1988).

H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).

M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).

C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Interscience, New York, 1983).

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Figures (12)

Fig. 1
Fig. 1

Electrodynamic balances used for the experiments.

Fig. 2
Fig. 2

Angular scattering data for an evaporating microdroplet of 1,8-dibromooctane obtained with a photodiode array.

Fig. 3
Fig. 3

Comparison between experimental and theoretical phase functions for a microdroplet of dioctyl phthalate (m = 1.4860).

Fig. 4
Fig. 4

Effects of small variations of the size parameter on the theoretical phase functions for m = 1.4860.

Fig. 5
Fig. 5

Effects of small variations of refractive index on the theoretical phase functions for x = 100.00.

Fig. 6
Fig. 6

Effect of small changes in the scattering angle on the resonance spectrum for m = 1.472.

Fig. 7
Fig. 7

Comparison between theory and an experimental resonance spectrum for an evaporating glycerol droplet obtained using Δθ = 0.04°.

Fig. 8
Fig. 8

Experimental resonance spectrum for an evaporating DBO microdroplet obtained using θ = 89.7° and Δθ = 3.7° compared with theoretical results obtained by averaging over the 87.85° ≤ θ ≤ 91.55° range.

Fig. 9
Fig. 9

Size change determined from shifts of two resonating wavelengths of an evaporating droplet of dioctyl phthalate.

Fig. 10
Fig. 10

Calculated resonance spectra for dodecanol (m = 1.4395) and hexadecane (m = 1.4345) showing the effects of the refractive index on the spectra.

Fig. 11
Fig. 11

Comparison among theoretical resonance spectra and experimental results for an evaporating droplet of 1,8-dibromooctane and hexadecane showing the effects of the assumed and varying refractive index.

Fig. 12
Fig. 12

Comparison between theory and an experimental resonance spectrum obtained by evaporating a droplet consisting of a core of glycerol coated with dioctyl phthalate.

Equations (11)

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i 1 = | n = 1 2 n + 1 n ( n + 1 ) [ a n P n 1 ( cos θ ) sin θ + b n d d θ P n 1 ( cos θ ) ] | 2 ,
i 2 = | n = 1 2 n + 1 n ( n + 1 ) [ a n d d θ P n 1 ( cos θ ) + b n P n 1 ( cos θ ) sin θ ] | 2 ,
a n = m 2 j n ( m x ) [ x j n ( x ) ] j n ( x ) [ m x j n ( m x ) ] m 2 j n ( m x ) [ x h n ( 1 ) ( x ) ] h n ( 1 ) ( x ) [ m x j n ( m x ) ] ,
b n = j n ( m x ) [ x j n ( x ) ] j n ( x ) [ m x j n ( m x ) ] j n ( m x ) [ x h n ( 1 ) ( x ) ] h n ( 1 ) ( x ) [ m x j n ( m x ) ] ,
W = λ 2 l 0 4 π 2 θ 1 θ 2 ϕ 1 ϕ 2 ( i 1 sin 2 ϕ + i 2 cos 2 ϕ ) sin θ d ϕ d θ .
W = λ 2 l 0 4 π 2 Δ ϕ θ 1 θ 2 i 1 d θ .
Δ θ s = 180 / x ,
x r = 2 π a 0 / λ 0 = 2 π a 1 / λ 1 = = 2 π a n / λ n .
Δ a / s 0 = Δ λ / λ 0 .
Δ x x = K ( m , x ) Δ m m ,
x 3 = x 0 3 + 27,000 .

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