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Transition rates of atoms near spherical surfaces

J. Chem. Phys. 87, 1355 (1987); doi:10.1063/1.453317

Issue Date: 15 July 1987

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H. Chew
Department of Physics, Clarkson University, Potsdam, New York 13676
We study the transition rates of atoms inside and outside dielectric spheres. The rates are calculated classically, and the results are shown to agree with those obtained using other approaches. For atoms outside, our analytic results are equivalent to those of Ruppin in the case of zero conductivity. Numerical results are presented, which show that resonances have important effects on the transition rates, and that enhancement factors of hundreds are possible under suitable conditions. The Journal of Chemical Physics is copyrighted by The American Institute of Physics.
History: Received 31 December 1986; accepted 8 April 1987
Permalink: http://link.aip.org/link/?JCPSA6/87/1355/1
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KEYWORDS and PACS

Keywords
PACS
  • 82.65.Nz
    Physical chemistry Surface processes Other gassurface interactions
  • 32.70.Cs
    Atomic spectra and interactions with photons Intensities and shapes of atomic spectral lines Oscillator strengths, transition moments
  • 32.70.Fw
    Atomic spectra and interactions with photons Intensities and shapes of atomic spectral lines Lifetimes, absolute and relative intensities
  • YEAR: 1987

PUBLICATION DATA

ISSN:
0021-9606 (print)   1089-7690 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (18)
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  1. H. Kuhn, J. Chem. Phys. 53, 101 (1970).
  2. K. H. Tews, Ann. Phys. (Leipzig) 29, 97 (1973).
  3. H. Morawitz and M. R. Philpott, Phys. Rev. B 10, 4863 (1974).
  4. W. Lukosz and R. E. Kunz, J. Opt. Soc. Am. 67, 1607 (1977).
  5. R. R. Chance, A. Prock, and R. Silbey, Adv. Chem. Phys. 37, 1 (1978). This paper contains many references to earlier work.
  6. P. Das and H. Metiu, J. Phys. Chem. 89, 4680 (1985).
  7. J. Gersten and A. Nitzan, J. Chem. Phys. 75, 1139 (1981).
  8. R. Ruppin, J. Chem. Phys. 76, 1681 (1982).
  9. S. Arnold (private communication).
  10. R. E. Benner, P. W. Barber, J. F. Owen, and R. K. Chang, Phys. Rev. Lett. 44, 475 (1980).
  11. A. A. Lucas, Physica B 127, 225 (1984).
  12. J. M. Wylie and J. E. Sipe, Phys. Rev. A 30, 1185 (1984).
  13. See, for example, H. Chew, P. J. McNulty, and M. Kerker, Phys. Rev. A 13, 396 (1976). We have rewritten the results of reference in more compact form here. Our vector spherical harmonics are those defined in A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University, Princeton, NJ, 1968), and differ from those of Ruppin.8
  14. See, for example, H. Chew, M. Kerker, and D. D. Cooke, Phys. Rev. A 16, 320 (1977). The result given is a slight generalization of the result of this paper, which gives the scattered field due to a dipole on the z axis.
  15. This equation was derived for an atom in vacuum. If the atom is in a medium with dielectric constant epsilonalpha( = 1,2 in our discussion), the factor 1/k3 should be replaced by epsilonalpha/k<sub>alpha</sub><sup>3</sup>. This has been done in the discussion that follows. To get R[high modifier],||/(R<sub>0</sub><sup>[high modifier],||</sup>)vac, multiply R[high modifier],||/R<sub>0</sub><sup>[high modifier],||</sup> in the text by na, the index of refraction of the medium in which the atom is located.
  16. See also M. Kerker, D. S. Wang, and H. Chew, Appl. Opt. 19, 3373 (1980). This paper, unfortunately, is marred by a large number of typographical errors.
  17. M. Abramowitz and I. A. Stegun, Handbook of Math. Functions (National Bureau of Standards, Washington, D.C., 1964).
  18. I am indebted to Dr. S. Arnold for informing me of the location of this sharp resonance.

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