Advertisement

Stochastic Interpretation of Inhomogeneous Spectroscopic Line Shapes

  • L. Kador

Abstract

Inhomogeneous distributions of transition frequencies are a ubiquitous appearance in many fields of spectroscopy [1–3]. This phenomenon means that an ensemble of identical particles within a sample in general do not have equal energy differences between the same pair of quantum states. The reason for these variations are inhomogeneities and fluctuations in the microscopic structure of the sample which lead to different local environment of the absorbing particles.

Keywords

Absorption Line Gaussian Approximation Inhomogeneous Distribution Matrix Molecule Stochastic Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of Symbols and Abbreviations

Abbreviations

FWHM

full width at half-maximum

TLS

two-level system (low-energy excitation of the amorphous solid state)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Reference

  1. 1.
    Portis AM (1953) Phys Rev 91:1071CrossRefGoogle Scholar
  2. 2.
    Stoneham AM (1969) Rev Mod Phys 41:82CrossRefGoogle Scholar
  3. 3.
    Laird BB, Skinner JL (1989) J Chem Phys 90:3880CrossRefGoogle Scholar
  4. 4.
    Kurnit NA, Abella ID, Hartmann SR (1964) Phys Rev Lett 13:567CrossRefGoogle Scholar
  5. 5.
    Hesselink WH, Wiersma DA (1979) Phys Rev Lett 43:1991CrossRefGoogle Scholar
  6. 6.
    Szabo A (1971) Phys Rev Lett 27:323CrossRefGoogle Scholar
  7. 7.
    Gorokhovskii AA, Kaarli RK, Rebane LA (1974) JETP Lett 20:216 (ZhETF Pis Red 20:474)Google Scholar
  8. 8.
    Kharlamov BM, Personov RI, Bykovskaya LA (1974) Opt Commun 12:191CrossRefGoogle Scholar
  9. 9.
    Klauder JR, Anderson PW (1962) Phys Rev 125:912CrossRefGoogle Scholar
  10. 10.
    Black JL, Halperin BI (1977) Phys Rev B 16:2879CrossRefGoogle Scholar
  11. 11.
    Reinecke TL (1979) Solid State Commun 32:1103CrossRefGoogle Scholar
  12. 12.
    Sesselmann T, Richter W, Haarer D, Morawitz H (1987) Phys Rev B 36:7601CrossRefGoogle Scholar
  13. 13.
    Reul S, Richter W, Haarer D (1991) Chem Phys Lett 180:1CrossRefGoogle Scholar
  14. 14.
    Meixner AJ, Renn A, Bucher SE, Wild UP (1986) J Phys Chem 90:6777CrossRefGoogle Scholar
  15. 15.
    Kador L, Haarer D, Personov RI (1987) J Chem Phys 86:5300CrossRefGoogle Scholar
  16. 16.
    Gerblinger J, Bogner U, Maier M (1987) Chem Phys Lett 141:31CrossRefGoogle Scholar
  17. 17.
    Kador L, Jahn S, Haarer D, Silbey R (1990) Phys Rev B 41:12215CrossRefGoogle Scholar
  18. 18.
    Laird BB, Skinner JL (1989) J Chem Phys 90:3274CrossRefGoogle Scholar
  19. 19.
    Markoff AA (1912) Wahrscheinlichkeitsrechnung. Teubner, LeipzigGoogle Scholar
  20. 20.
    Kador L (1991) J Chem Phys 95:5574CrossRefGoogle Scholar
  21. 21.
    Kikas J, Rätsep M (1982) Phys Status Solidi B 112:409CrossRefGoogle Scholar
  22. 22.
    Hartmannsgruber N, Maier M (1992) J Chem Phys 96:7279CrossRefGoogle Scholar
  23. 23.
    Anderson PW, Halperin BI, Varma CM (1972) Phil Mag 25:1CrossRefGoogle Scholar
  24. 24.
    Phillips WA (1972) J Low Temp Phys 7:351CrossRefGoogle Scholar
  25. 25.
    Messing I, Raz B, Jortner J (1977) J Chem Phys 66:2239CrossRefGoogle Scholar
  26. 26.
    Simon SH, Dobrosavljević V, Stratt RM (1990) J Chem Phys 93:2640Google Scholar
  27. 27.
    Sevian HM, Skinner JL (1992) Theor Chim Acta 82:29CrossRefGoogle Scholar
  28. 28.
    Müller K-P, Haarer D (1991) Phys Rev Lett 66:2344CrossRefGoogle Scholar
  29. 29.
    Jahn S, Müller K-P, Haarer D (1992) J Opt Soc Am B 9:925CrossRefGoogle Scholar
  30. 30.
    Abragam A (1961) The principles of magnetic resonance. Clarendon, OxfordGoogle Scholar
  31. 31.
    Breinl W, Friedrich J, Haarer D (1984) J Chem Phys 81:3915CrossRefGoogle Scholar
  32. 32.
    Walsh CA, Berg M, Narasimhan LR, Fayer MD (1987) J Chem Phys 86:77CrossRefGoogle Scholar
  33. 33.
    Schulte G, Grond W, Haarer D, Silbey R (1988) J Chem Phys 88:679CrossRefGoogle Scholar
  34. 34.
    Wertheim GK, Butler MA, West KW, Buchanan DNE (1974) Rev Sei Instrum 45:1369CrossRefGoogle Scholar
  35. 35.
    Zakaraya MG, Ulstrup J (1988) Opt Commun 68:107CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • L. Kador

There are no affiliations available

Personalised recommendations