Intensity borrowing model

Using the intensity borrowing model, natural explanations now arise for the observations given above for the comparison of experimental and theoretical photoionization data of magnesium ... 

Although 3IIoe can mix with many excited 1E+ states, mixing with the X1E+ state introduces a novel feature, namely, the appearance of permanent electric dipole moments as well as transition moments in the intensity borrowing model. For 3II in the case (a) limit (A > 21/2BJ),... 

Reber C (2004) Allowed and Forbidden d-d Bands in Octahedral Coordination Compounds Intensity Borrowing and Interference Dips in Absorption Spectra 107 145-158 Reinen D (2004) The Angular Overlap Model and Vibronic Coupling in Treating s-p and d-s Mixing - a DFT Study 107 159-178... 

The photophysical differences between the parent and substituted complexes were interpreted with a semi-empirical model for intensity borrowing via spin-orbit coupling (i.e., mixing of the... 

One of the most dramatic manifestations of an interference effect is the vanishing of a line or of an entire band that, on the basis of known Franck-Condon factors and inappropriately simple intensity borrowing ideas, should be quite intense (see Fig. 6.6). This effect can easily be mistaken as an accidental predissociation (Section 7.13). Yoshino, et al, (1979) have studied the valence Rydberg N2 b, E+ cVE+ perturbations. Abrupt decreases in emission intensity for c 4 — X1E+ (v = 1 and 4) and b — X (v = 4) bands had been attributed to weak predissociation rather than perturbation effects (Gaydon, 1944 Lofthus, 1957 Tilford and Wilkinson, 1964 Wilkinson and Houk, 1956). The b (v = 4) C4 (v = 1) and b (v = 13) C4 (v = 4) deperturbation models of Yoshino et al., (1979) provide a predissociation-ffee unified account of both level shift and intensity effects. Weak predissociation effects cannot be ruled out, but are not needed to account for the present experimental observations. 

Systems approach borrowed from the optimization and control communities can be used to achieve various other tasks of interest in multiscale simulation. For example, Hurst and Wen (2005) have recently considered shear viscosity as a scalar input/output map from shear stress to shear strain rate, and estimated the viscosity from the frequency response of the system by performing short, non-equilibrium MD. Multiscale model reduction, along with optimal control and design strategies, offers substantial promise for engineering systems. Intensive work on this topic is therefore expected in the near future. 

There has been a great deal of confusion about which Franck-Condon factors should be used to model the vibrational intensities in a -progression in fluorescence originating from a perturbed, nominally nonfluorescing, upper level. Three cases must be considered (1) the i,v ) vibronic level borrows all of its i —> 0 oscillator strength from a single, remote, electronic-vibrational level,... 

As mentioned in Figure 3.2 the on-site geologist plays an important role in the determination of the required intensity of the soil investigation. An experienced geologist familiar with dredging techniques should be capable of determining whether the available data is sufficient to setup a sound geotechnical model for the borrow area. 

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