Abstract
The projection operator method is used in this article to construct the vibrational symmetry coordinates of the molecular cluster XY9 of symmetry D3h. All the normal coordinates are found in the point-charge approximation for the interacting ions in the cluster with the Gd3+ ion replacing lanthanum in lanthanum ethyl sulfate. The normal coordinates are found by solving the reduced secular equations corresponding to the expression of the kinetic and potential energies of the cluster written in the symmetry coordinates.
Similar content being viewed by others
References
H. A. Buckmaster, R. Chatterjee, Y. H. Shing, J. Phys. C: Sol. Stat. Phys.,4, 832 (1971).
C. Y. Huang, Phys. Rev.,159, 683 (1967).
K. N. Shrivastava, Phys. Rev.,187, 446 (1969).
J. H. Van Vleck, Phys. Rev.,57, 426 (1940).
E. B. Wilson, Jr., J. C. Decius, and P. C. Cross, Theory of Vibrational Spectra of Molecules [Russian translation], Inost. Lit., Moscow, (1960).
V. Heine, Group Theory in Quantum Mechanics, [Russian translation], Inost. Lit., Moscow, (1963).
C. Y. Huang and K. Sugawara, J. Phys. Soc. Jpn.,34, 629 (1973).
Min-Guang Zhao and Mao-Lu Du, Phys. Rev.,B28, 6481 (1983).
Quon Xiong, Gui-Ru Bai, and Min-Guang Zhao, J. Appl. Phys.,57, 3739 (1985).
Guo-Yin Shen and Min-Guang Zhao, Phys. Rev.,B30, 3691 (1984).
Wei-Li Sheun and Min-Guang Zhao, Phys. Stat. Sol. (b),142, 501 (1987).
M. A. Mostrom and C. Y. Huang, J. Phys. Chem. Sol.,32, 799 (1971).
Additional information
Gyumri Branch, Armenian State Engineering University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 95–101, October, 1995.
Rights and permissions
About this article
Cite this article
Torosian, F.S., Manandian, L.T., Mkhoyan, L.M. et al. Vibrational normal coordinates of the molecular cluster XY9 of symmetry D3h . Russ Phys J 38, 1086–1091 (1995). https://doi.org/10.1007/BF00559049
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00559049