Resonance decay

A microcanonical ensemble of isolated resonances decays according to... 

See also the theoretical description of a micro reactor for optical photocatalytic dissociation of non-linear molecules in [140]. Here, a mathematical model for a novel type of micro reactor is given. Rotating non-linear molecules at excitation of valent vibrations are considered, having a magnetic moment. Resonance decay of molecules can be utilized with comparatively weak external energy sources only. 

Distributions from Resonance Decay via Lanczos Subspace Filter Diagonalization Application to H02. 

All features below 15 eV in Fig. 20 are characteristic of DBA to I, II, and III. The monotonic rising signal in the H yield with an energetie threshold near 14.5 eV is characteristic of nonresonant DD of C-H bonds in I, II, and III it could also partially arise from DD of the O-H bond in II and III. However, the broad feature centered around 22 eV has been attributed to DBA and/or resonance decay into an electronically excited state dissociating into and the corresponding cation. The formation of H via DBA... 

The four examples presented by R. Schinke, from regular resonance decay of HCO to the irregular behavior of HO2, are cases for the textbooks [1]. They should serve also as touchstones for approximate theories such as RRKM or SAC [2], and, if I may add, I think it is not primarily the task of R. Schinke, but of the proponents of RRKM, SAC, etc., to verify their statistical theories. 

Figure 4. Deuteron resonance decay curve after a 90° pulse for the same sample as in Figure 3. The symbol A represents the measured quadrupole splitting.

When polymer was heated in the absence of monomer to 60° no decrease in radical concentration was observed over a long period of time. If oxygen is admitted to the e.p.r. tube at room temperature the resonance decays within 10 min to less than one-fifth of its value, but at —50° no change is observed in 24 hours. 

Ec is rather flat, yet hot, extending up to about/ = 10. By contrast, the higher Ec results show the more usual envelop peaking at much lower values off. Nesbitt and coworkers [95] measured the product distribution in a "crossed jet" experiment, and obtained results are consistent with Figure 3.5. Again, the result is consistent with a resonance state picture in that the low Ec distribution is entirely due to a resonance decay mechanism that is expected to be quite different from the direct reaction mechanism that dominates at higher Ec. 

R.H. Bisseling, R. Kosloff, J. Manz, Dynamics of hyperspherical and local mode resonance decay studied by time dependent wave packet propagation, J. Chem. Phys. 83 (1985) 993. 

S.K. Gray, Wave packet dynamics of resonance decay An iterative equation approach with application to HCO- -H+CO, J. Chem. Phys. 96 (1992) 6543. 

Summarizing the individual decay branches of the 4d5/2 -> 6p resonance, one finds that all final ionic states can also be reached by outer-shell photoionization, in (a) and (b) by main processes, and in (c)-(i) by discrete and continuous satellite processes. The effect of the resonance decay will then be a modification of these otherwise undisturbed direct outer-shell photoionization processes which turns out to be an enhancement in the present case. Therefore, these outer-shell satellites are called resonantly enhanced satellites. In this context it is important to note that outer-shell photoionization also populates other satellites, attached, for example, to electron configurations 5s25p4ns and 5s25p4nd. However, the parity of these satellites is even, while the decay branches (c)-(/) lead to odd parity. Therefore, both groups of final ionic states can be treated independently of each other (if configuration interaction in the continuum is neglected). 

We see that / (i, t) displays damped Rabi-type oscillations between the initial state and the final continuum states, where the damping is given by resonance decay rate TJ2h. Although the frequency of the Rabi oscillations is a function of the fieldib strength 0, the branching ratio between channels is independent of the laser para- 4... 

Eigure 11 shows the product state distributions after decay of the Ai and A2 resonances at 4.41 and 4.49 eV respectively. In both cases, H -F H2 decay products have significant internal energy for the Ai symmetry, 41% of the available energy appears as rovibrational energy, and 51 % for the A2 case. Thus, these resonances decay exclusively into excited rovibrational states and were not observed on previously computed reactive scattering transitions probabilities and cross-sections... 

Hybrid Devices and Novel Resonance Techniques. Combinations of the QCM with other techniques and novel variations of the standard QCM resonance technique have recently provided interesting advances in the study of different systems. One such approach is the relatively new QCM-D technique, a discontinuous resonance decay approach for obtaining energy dissipation behavior of film surfaces [198]. We believe that this convenient device for measuring the viscosity, elasticity, and thickness of films will continue to expand in popularity for film characterization. 

Gray, S.K. (1992) Wavepacket dynamics of resonance decay An iterative equation approach with application to HCO —> H + CO, J. Chem. Phys. 96, 6543-6554. Guo, H. (1993) Timc-dcpcndcnt quantum dynamical study of the photodissociation of hypoclilorous acid, J. Phys. Chem. 97, 2602-2608. 

Since the polaron resonance is also observed in dilute methylene dichloride solutions, one may be tempted to assign it to intrachain polaron recombination. Yet this assignment may be incorrect on two counts (i) it is not clear that the polymer chains ate completely separated from each other by the solvent (ii) even if the chains are tnily isolated by the solvent, confonnational defects, typically kinks, may generate interconjugation-segment polaron pairs, which are dynamically similar to interchain pairs [30,49]. Indeed, it should be noted that toluene solutions of P3HT did not yield any ODMR, and in CCI4 solutions the polaron resonance decayed below the noise level after 488 nm photoexcitation at room temperature for a few minutes [23,59.73]. This clearly demonstrates that the polaron resonance is sensitive to the interaction between the polymer and the solvent, and may possibly involve its effect on chain separation and/or formation of kinks in the chains. 

In the following sections we will apply the theory to a resonance decaying into a continuum (Section 2.2) and to several resonances decaying into one or several continua (Section 2.3). The physics is described and understood by means of energy-independent effective Hamiltonians (16) and from the method of moments. In Section 2.2 the use of a unique two-dimensional matrix representation (n = 2) of the effective Hamiltonian will allow us to produce the most basic Breit-Wigner and Eano profiles as well as an elementary formulation of the fluctuation-dissipation theorem. In Section 2.3 more elaborate matrix representations (n = 3) will be used to investigate... 

Figure 1.2 illustrates the resonance ) decaying into a quasi-continuum (left side) and into a true continuum (right side). The black rectangle is the useful part of the continuum implied in the dynamics. It corresponds to the wavefunction H (p) (a doorway state in spectroscopy), which is the second term in the method of moments (see Eq. (17)). The physical results are obtained at the limit 5 -> 0 while tF/5 remains constant. The transition rate r to the continuum is equal to... 

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