By Gould R.F. (ed.)
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Phys. 1996, 104,7599. ; Paldus, J. D. E. J. Chem. Phys. 1981, 74,4544. ; Ohrn, Y. Chem. Phys. Lett. 1979, 61,307. ; Ohrn, Y. Chem. Phys. Lett. 1980, 71,549. V. J. Chem. Phys. 1998, 109,5741. V. Chem. Phys. Lett. 1998, 296, 494 and references therein. V. Chem. Phys. Lett. 1998, 297, 193. R. J. Phys. Chem. 1993 97,2385. V. J. Chem. Phys. 1997, 107,7906. ; Pople, J. A. J. Chem. Phys. 1980, 72,650.  Frisch, M. ; Trucks, G. ; Schlegel, H. ; Gill, P. M. ; Johnson, B. ; Robb, M. A,; Cheeseman, J .
The Dyson equation may be written as G - ' ( E ) = G,'(E) - C ( E ) . (29) In the self-energy matrix, there are energy-independent terms and energydependent terms: E(E) = E(0O) E'(E). (30) In the limit of ]El + c q E(E)approaches its energy-independent component, Woo). When IdetG(E)I + 00, E is a pole. It is equivalent to require G - ' ( E ) to have a vanishing eigenvalue at the pole energy, where + G - ' ( E ) C ( E )= OC(E). (31) + C ( E ) ]C ( E )= E C ( E ) . (32) This condition implies that [€ The latter expression may be rewritten as (F + E'(E)]C ( E )= E C ( E ) .
Introduction Electron-spin resonance (ESR)techniques have been widely used in chemistry and biochemistry. For instance, the molecular structure of organic and organometallic reaction intermediatesas well as the dynamics of ion pairs in solution have been &erred from ESR spectra (1-3). ESR spectroscopy has also been employed to track down electron transfer in biological and model systems (4). The development of low-temperature matrix isolation techniques have enable the studies of unusual open-shell species by probing their spin properties (5-7).
Addition and Condensation Polymerization Processes by Gould R.F. (ed.)