J-band

Figure 7.44 (a) Observed and (b) best computed rotational con-tour of the type B 0[j band of the... 

Figure 9.47 Part of the observed 0[j band (top), an expansion of a small portion (middle) and a computer simulation (bottom) of (a) aniline and (b) aniline Ar. (Reproduced, with permission, from Sinclair, W. E. and Pratt, D. W., J. Chem. Phys., 105, 7942, 1996)...

Figure 13. Strehl ratio versus V magnitude of the natural reference source for tilt sensing. Solid line good seeing with ro = 0.2m. Crosses standard seeing, with ro = 0.15m. From top to bottom K, H and J bands.

As demonstrated in Section 2.2, the energy of activation of simple electron transfer reactions is determined by the energy of reorganization of the solvent, which is typically about 0.5-1 eV. Thus, these reactions are typically much faster than bondbreaking reactions, and do not require catalysis by a J-band. However, before considering the catalysis of bond breaking in detail, it is instructive to apply the ideas of the preceding section to simple electron transfer, and see what effects the abandomnent of the wide band approximation has. 

In the activated state, the valence orbital passes the Fermi level of the metal, and the electron transfer occurs. A J-band situated near the Fermi level wdl induce a strong broadening of the reactant s density of states, or even to a spfitting, as shown in... 

From the given Hamiltonian, adiabatic potential energy surfaces for the reaction can be calculated numerically [Santos and Schmickler 2007a, b, c Santos and Schmickler 2006] they depend on the solvent coordinate q and the bond distance r, measured with respect to its equilibrium value. A typical example is shown in Fig. 2.16a (Plate 2.4) it refers to a reduction reaction at the equilibrium potential in the absence of a J-band (A = 0). The stable molecule correspond to the valley centered at g = 0, r = 0, and the two separated ions correspond to the trough seen for larger r and centered at q = 2. The two regions are separated by an activation barrier, which the system has to overcome. 

The key parameters of the electronic structure of these surfaces are summarized in Table 9.3. The calculated rf-band vacancy of Pt shows no appreciable increase. Instead, there is a shght charge transfer from Co to Pt, which may be attributable to the difference in electronegativity of Pt and Co, in apparent contradiction with the substantial increase in Pt band vacancy previously reported [Mukerjee et al., 1995]. What does change systematically across these surfaces is the J-band center (s ) of Pt, which, as Fig. 9.12 demonstrates, systematically affects the reactivity of the surfaces. This correlation is consistent with the previous successes [Greeley et al., 2002 Mavrikakis et al., 1998] of the band model in describing the reactivity of various bimetallic surfaces and the effect of strain. Compressive strain lowers s, which, in turn, leads to weaker adsorbate-surface interaction, whereas expansive strain has the opposite effect. 

If the transition dipoles are aligned in a head-to-tail formation, then a red shift is expected. This is the reported explanation for the sharp bands at 573 and 578 (J bands). The narrow half-bandwidths of the split J aggregate absorption suggest that the exciton states are not strongly coupled with external perturbations. The two distinct electronic transitions were proposed to arise from two structural modifications of the aggregates. 

The energy difference I/ , -F2I=2 V12 is known as Davydov or exciton splitting, Figure 8.3. The shift of energy levels gives rise to new bands in the absorption spectrum denoted as the upper and lower Davydov (exciton) components. These components are the H- and J-bands observed in absorption spectra of molecular aggregates. 

The intermolecular interaction described above provides information about the magnitude of spectral shifts, but it does not explain why the absorption spectra of molecular aggregates usually have either an H- or J-band. The square of transition dipole moment (in Debye2 units) is usually termed the dipole strength and is related to the intensity of the absorption band as (van Amerongen et al. 2000)... 

PHOTON ENERGY (eV) Figure 18. Plots of logarithmic absorption coefficient to the incident photon energy for the low-energy tail of the J-band of [CI-MC] with [L-MS], at various temperatures, with [L-MS], at various temperatures. 

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