Crossref journal-article
AIP Publishing
The Journal of Chemical Physics (317)
Abstract

Spectroscopic absorption contours of condensed systems appear to be described by one of several frequency functions, i.e., Gaussian, Lorentzian (T1), or Tn, where 1 < n ≤ 3. A phenomenological explanation is given in terms of a statistical model involving random perturbations on energy levels (〈ψm | H | ψn〉, 〈ψn | H | ψn〉) and orthogonal coupling matrix elements (〈ψm | Mq | ψn〉), where Mq is the light-coupling operator and n and m are the two states between which transitions occur. If the matrix elements are well shielded from perturbation or strong complexes exist such that only a few relaxations of the same order of duration can occur, Gaussian functions result. If, along with the energy levels, one of the orthogonal components is strongly perturbed by a statistically orientated environment, a Lorentzian function (T1) results. If two such components are perturbed, the predicted function is T2, and if all three components are significantly perturbed, then T3 results.

Bibliography

Morrey, J. R., & Morgan, L. G. (1969). Tn Frequency Functions as Energy Contours for Photon Absorbance in Condensed Systems. The Journal of Chemical Physics, 51(1), 67–83.

Authors 2
  1. John R. Morrey (first)
  2. Larry G. Morgan (additional)
References 48 Referenced 7
  1. 10.1103/RevModPhys.29.94 / Rev. Mod. Phys. (1957)
  2. 10.1103/RevModPhys.29.20 / Rev. Mod. Phys. (1957)
  3. {'key': '2024020905022336100_r3'}
  4. 10.1007/BF01336768 / Z. Physik (1930)
  5. {'key': '2024020905022336100_r4a', 'first-page': '18', 'volume': '65', 'year': '1931', 'journal-title': 'Z. Phys.'} / Z. Phys. (1931)
  6. {'key': '2024020905022336100_r4b', 'first-page': '860', 'volume': '36', 'year': '1931', 'journal-title': 'Phys. Rev.'} / Phys. Rev. (1931)
  7. 10.1080/14786448908628358 / Phil. Mag. (1889)
  8. {'key': '2024020905022336100_r6', 'first-page': '251', 'volume': '2', 'year': '1885', 'journal-title': 'J. Astrophys.'} / J. Astrophys. (1885)
  9. {'key': '2024020905022336100_r7', 'first-page': '591', 'volume': '8', 'year': '1906', 'journal-title': 'Proc. Acad. Sci. Amsterdam'} / Proc. Acad. Sci. Amsterdam (1906)
  10. 10.1103/RevModPhys.17.227 / Rev. Mod. Phys. (1945)
  11. 10.1103/PhysRev.73.1020 / Phys. Rev. (1948)
  12. 10.1103/PhysRev.55.1165 / Phys. Rev. (1939)
  13. {'key': '2024020905022336100_r11', 'first-page': '577', 'volume': '58', 'year': '1919', 'journal-title': 'Ann. Physik.'} / Ann. Physik. (1919)
  14. {'key': '2024020905022336100_r11a', 'first-page': '162', 'volume': '20', 'year': '1919', 'journal-title': 'Z. Physik'} / Z. Physik (1919)
  15. {'key': '2024020905022336100_r11b', 'first-page': '73', 'volume': '25', 'year': '1924', 'journal-title': 'Z. Phys.'} / Z. Phys. (1924)
  16. 10.1007/BF01328519 / Z. Phys. (1925)
  17. 10.1103/RevModPhys.8.22 / Rev. Mod. Phys. (1936)
  18. 10.1103/PhysRev.48.755 / Phys. Rev. (1935)
  19. 10.1143/JPSJ.9.888 / J. Phys. Soc. Japan (1954)
  20. 10.1103/RevModPhys.38.187 / Rev. Mod. Phys. (1966)
  21. 10.1103/RevModPhys.40.441 / Rev. Mod. Phys. (1968)
  22. 10.1063/1.1727806 / J. Chem. Phys. (1966)
  23. 10.1063/1.1734108 / J. Chem. Phys. (1963)
  24. {'key': '2024020905022336100_r18'}
  25. {'key': '2024020905022336100_r19'}
  26. {'key': '2024020905022336100_r20'}
  27. 10.1016/0371-1951(66)80222-9 / Spectrochim. Acta (1966)
  28. 10.1139/v62-051 / Can. J. Chem. (1962)
  29. {'key': '2024020905022336100_r23'}
  30. {'key': '2024020905022336100_r24'}
  31. {'key': '2024020905022336100_r25'}
  32. {'key': '2024020905022336100_r26'}
  33. {'key': '2024020905022336100_r27'}
  34. 10.1080/00268976400100321 / Mol. Phys. (1964)
  35. 10.1063/1.1726774 / J. Chem. Phys. (1966)
  36. 10.1063/1.1670099 / J. Chem. Phys. (1968)
  37. 10.1016/0022-1902(66)80016-7 / J. Inorg. Nucl. Chem. (1966)
  38. 10.1021/j100789a048 / J. Phys. Chem. (1964)
  39. 10.1021/ic50064a055 / Inorg. Chem. (1968)
  40. {'key': '2024020905022336100_r34'}
  41. {'key': '2024020905022336100_r35'}
  42. 10.1021/j100794a032 / J. Phys. Chem. (1964)
  43. 10.1143/JPSJ.13.880 / J. Phys. Soc. Japan (1958)
  44. {'key': '2024020905022336100_r38', 'first-page': '712', 'volume': '14', 'year': '1932', 'journal-title': 'Ann. Physik'} / Ann. Physik (1932)
  45. {'key': '2024020905022336100_r38a', 'first-page': '828', 'volume': '20', 'year': '1934', 'journal-title': 'Ann. Phys.'} / Ann. Phys. (1934)
  46. {'key': '2024020905022336100_r39'}
  47. 10.1063/1.1696920 / J. Chem. Phys. (1965)
  48. 10.2307/3002019 / Biometrics Bull. (1946)
Dates
Type When
Created 21 years, 6 months ago (Feb. 6, 2004, 2:22 p.m.)
Deposited 1 year, 6 months ago (Feb. 9, 2024, 12:10 a.m.)
Indexed 1 year, 6 months ago (Feb. 9, 2024, 2:31 a.m.)
Issued 56 years, 1 month ago (July 1, 1969)
Published 56 years, 1 month ago (July 1, 1969)
Published Print 56 years, 1 month ago (July 1, 1969)
Funders 0

None

@article{Morrey_1969, title={Tn Frequency Functions as Energy Contours for Photon Absorbance in Condensed Systems}, volume={51}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1671771}, DOI={10.1063/1.1671771}, number={1}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Morrey, John R. and Morgan, Larry G.}, year={1969}, month=jul, pages={67–83} }