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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 63, Iss. 6 — Jun. 1, 1973
  • pp: 707–713

Spectral extinction of colloidal silver

D. C. Skillman and C. R. Berry  »View Author Affiliations

JOSA, Vol. 63, Issue 6, pp. 707-713 (1973)

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Computed and observed extinction spectra of colloidal silver particles with various size and shape distributions are compared. Excellent agreement is achieved through consideration of (i) the effects of surface and internal contamination and particle size on the optical constants of silver, (ii) the appropriate number of terms as a function of size in the Mie equation for spheres, (iii) a formulation of the Gans equation for prolate spheroids, to include the degree of particle orientation that occurs when a swollen gelatin matrix dries, (iv) the method of combining spectral characteristics determined by the Mie (size) and Gans (shape) relations, and (v) stereometric corrections of the particle measurements for the effects of microtome-section thickness and swelling.

D. C. Skillman and C. R. Berry, "Spectral extinction of colloidal silver," J. Opt. Soc. Am. 63, 707-713 (1973)

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  12. Soon after this manuscript was completed, the question arose of whether or not the crystal-imperfection factor, N, should multiply the frequency-dependent part as well as the frequency-independent part of the free-electron collision frequency, ω0 (Appendix II). In retrospect, it seems more logical to multiply both parts of ω0. We recalculated in this new way the curves of Fig. 6 with N = 11 (and the same values of surface contaminant and coating weight) and obtained an improvement of 10% in the difference of area between the calculated and observed curves, demonstrating again the value of the excellent experimental data in resolving theoretical questions. To recalculate the curves of Figs. 7 and 8 would be too expensive, but unproved correlation due to increased half-peak width of the short λ peaks relative to the long λ peaks is certain. Thus, the range of values of the crystal impèrfection factor now used to multiply both parts of the free-electron collision frequency will be from about 3.5 to 12 (instead of 8 to 27) for our samples.
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