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Prog. Theor. Phys. Vol. 11 No. 1 (1954) pp. 20-24

[ Full Text PDF : FREE ACCESS (379K) ]

Interaction between Electrons in One-dimensional Free-electron Model with Application to Absorption Spectra of Cyanine Dyes

Gentaro Araki and Huzihiro Araki

Faculty of Engineering, Kyoto University

(Received November 13, 1953)

Abstract:

The interaction between electrons in a deep square-well potential field is discussed in case of one dimension. The potential of one-dimensional two-electron forces is assumed to be represented by a transversal average of the three-dimensional Coulomb potential. The calculated excitation energy is compared with observed data of absorption maxima for cyanine dyes.


URL : http://ptp.ipap.jp/link?PTP/11/20/
DOI : 10.1143/PTP.11.20

[ Full Text PDF : FREE ACCESS (379K) ] Citation:


References:

  1. S. Baylis, J. Chem. Phys. 16 (1948), 287[CrossRef].
  2. H. Kuhn, J. Chem. Phys. 16 (1948), 840[CrossRef].
  3. W. T. Simpson, J. Chem. Phys. 16 (1948), 1124[CrossRef].
  4. G. Araki and T. Murai, Prog. Theor. Phys. 8 (1952), 639[PTP].
  5. L. I. Schiff, Quantum Mechanics (1949), p. 34.
  6. E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (1935), p. 169.
  7. L. G. S. Brooker, P. H. Sprague, C. P. Smyth and G. L. Lewis, J. Am. Chem. Soc. 62 (1940), 1116[CrossRef].
    L. G. S. Brooker, G. H. Keyes and W. W. Williams, J. Am. Chem. Soc. 64 (1942), 199[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 15 No. 4 (1956) pp. 307-321 :
    Absorption Spectra of Unsymmetrical Cyanines
    Gentaro Araki and Sigeru Huzinaga
  2. Progress of Theoretical Physics Vol. 15 No. 5 (1956) pp. 495-500 :
    Interaction between Electrons in Two-Dimensional Free-Electron Model for Conjugated Systems
    Sigeru Huzinaga
  3. Progress of Theoretical Physics Vol. 16 No. 3 (1956) pp. 197-211 :
    Partial Description of Quantum-Mechanical System
    Gentaro Araki
  4. Progress of Theoretical Physics Vol. 16 No. 3 (1956) pp. 212-221 :
    Free-Electron Model of Benzene
    Gentaro Araki