Page 276 - Strategies and Applications in Quantum Chemistry From Molecular Astrophysics to Molecular Engineer
P. 276
VIBRATIONAL MODULATION EFFECTS ON EPR SPECTRA 259
In the above equation, h is the Planck constant, and c the speed of light. The mean values
at the absolute temperature T are obtained from the same equations by the of (j + 1/2) by
where K is the Boltzmann constant.From one side, Eq. (Al) shows that < s > and the cubic
force constants have opposite signs. On the other side, Figure 4 shows that in the
case of and have the same sign near the equilibrium structure. As a
result, the linear term in Eq. (8) is negative, thus counterbalancing the positive quadratic
term.
References
1. E. Fermi, Z. Physik, 60, 320 (1930).
2. A. Abragam and M.H.L. Pryce, Proc. Roy. Soc. (London) A205, 135 (1951).
3. D. Papousek and M.R. Aliev, Molecular Vibrational-Rotational Spectra, Elsevier,
Amsterdam (1982).
4. J.T. Hougen, P.R. Bunker, J.W.C. Johns, J. Mol. Spectr. 52, 439 (1970).
5. W. Meyer, J. Chem. Phys. 51, 5149 (1969).
6. S.Y. Chang, E.R. Davidson and G. Vincow, J. Chem. Phys. 52, 5596 (1970).
7. T.A. Claxton and N.A. Smith, Trans. Faraday Soc. 66, 1825 (1970).
8. V. Barone, J. Douady, Y. Ellinger, R. Subra and F. Pauzat, Chem. Phys. Lett.
65, 542 (1979).
9. M. Peric, R. Runau, J. Romelt and S.D. Peyerimhoff, J. Mol. Spectr. 78, 309
(1979).
10. Y. Ellinger, F. Pauzat, V. Barone, J. Douady and R. Subra, J. Chem. Phys. 72,
6390 (1980).
11. D.M. Chipman, J. Chem. Phys. 78, 3112 (1983).
12. P. Botschwinna, J. Flesh and W. Meyer, Chem. Phys. 74, 321 (1983).
13. F. Pauzat, H. Gritli, Y. Ellinger and R. Subra, J. Phys. Chem. 88, 4581 (1984).
14. F. Zerbetto and M.Z. Zgierski, Chem. Phys. 139, 503 (1989).
15. V. Barone, P. Jensen and C. Minichino, J. Mol. Spectr. 154, 252 (1992).
16. V. Barone and C. Minichino, J. Chem. Phys. (to be published).
17. V. Barone, C. Minichino H. Faucher, R. Subra and A. Grand, Chem. Phys.Lett.
(in press).
18. M.J. Frisch, M. Head-Gordon, G.W. Trucks, J.B. Foresman, H.B. Schlegel, K.
Raghavachari, M. Robb, J.S. Binkley, C. Gonzales, D.J. DeFrees, D.J. Fox,
R.A. Whiteside, R. Seeger, C.F. Melius, J. Baker, R.L. Martin, L.R. Kahn,
J.J.P. Stewart, S. Topiol and J.A. Pople, Gaussian 90, Gaussian Inc., Pittsburg
(1990).
19. M.J. Frisch, G.W. Trucks, M. Head-Gordon, P.M.W. Gill, M.W. Wong, J.B.
Foresman, B.G. Johnson, H.B. Schlegel, M.A. Robb, E.S. Replogle, R.
Gomperts, J.L. Andres, K. Raghavachari, J.S. Binkley, C. Gonzales, R.L.
Martin, D.J. Fox, D.J. DeFrees, J. Baker,.J.P.P. Stewart and J.A. Pople,
Gaussian 92, Gaussian Inc., Pittsburg (1992).