Through resonance

The resonating-valence-bond theory of the electronic structure of metals is based upon the idea that pairs of electrons, occupying bond positions between adjacent pairs of atoms, are able to carry out unsynchronized or partially unsynchronized resonance through the crystal.4 In the course of the development of the theory a wave function was formulated describing the crystal in terms of two-electron functions in the various bond positions, with use of Bloch factors corresponding to different values of the electron-pair momentum.5 The part of the wave function corresponding to the electron pair was given as... 

In the interaction of a pair of atomic orbitals, two electrons form a bond and four electrons form no bond (Sect. 1.1). The snbstitnted carbocations are stabilized by the electron delocalization (hyperconjngation and resonance) through the interaction of the doubly occupied orbitals on the snbstitnents with the vacant p-orbital on the cation center. The exchange repulsion (Sect. 1.5) is cansed by four electrons. Now... 

The third component of the stone is the DNA bonded to and resonating through the harmine. It will constitute the hyperdimensional, holographic memory of the device and will contain and explicate the genetic history of all species. It will be the collective memory of the device, and all times and places and conceivable forms will be accessible within its matrix. 

Chlorine withdraws electrons through inductive effect and releases electrons through resonance. Through inductive effect, chlorine destabUises the intermediate carbocahon formed during the electrophtiic substitution. 

In this review, we have discussed the Feshbach-Lowdin PT as a tool for studying multidimensional quantum dynamics of (molecular) systems. The central element in this approach is the emergence of overlapping resonances through the application of the PT on the Hilbert space of the system under study, and the possibility that such resonances ultimately interfere. The TOR, which is the result of this approach, provides a fruitful method to understand and conceptually link diverse physical phenomena and processes. We have tried to demonstrate this by discussing various examples, as FIT and ORIT, the suppression of spontaneous decay in atoms and molecules, and the CC of IC in pyrazine and / -carotene, as well as of IVR in the OCS molecule. 

Andersen, 0.M., Aksnes, D.W., Nerdal,W., and Johansen, O.P. 1991a. Structure elucidation of cy-anidin-3-sambubioside and assignments of the H and 13C NMR resonances through two-dimensional shift-correlated NMR techniques. Phytochem. Anal. 2 175-183. 

Although theoretical techniques for the characterization of resonance states advanced, the experimental search for reactive resonances has proven to be a much more difficult task [32-34], The extremely short lifetime of reactive resonances makes the direct observation of these species very challenging. In some reactions, transition state spectroscopy can be employed to study resonances through "half-collision experiments," where even very short-lived resonances may be detected as peaks in a Franck-Condon spectrum [35-38]. Neumark and coworkers [39] were able to assign peaks in the [IHI] photodetachment spectrum to resonance states for the neutral I+HI reaction. Unfortunately, transition state spectroscopy is not always feasible due to the absence of an appropriate Franck-Condon transition or due to practical limitations in the required level of energetic resolution. The direct study of reactive resonances in a full collision experiment, such as with a molecular beam apparatus, is the traditional and more usual environment to work. Unfortunately, observing resonance behavior in such experiments has proven to be exceedingly difficult. The heart of the problem is not a... 

By partial substitution of C—X by BH2 (pseudonitrogen) in triazine ( N=BH2)3 is first produced and this is stabilized by resonance through... 

The utopian and pessimistic approaches of Benjamin and Adorno resonate through Synthetic Worlds and steer the interpretations of historical events. Equally, the efforts to repair divisions - human, cosmic, disciplinary - through thought, through philosophies that think potential, while acknowledging the hurts of actuality, can be traced to them. Rifts are breached here, in segues that are more or less reasonable. 

It is, then, natural to ask whether transport actually occurs along resonances with weak coupling in the case that lower-order resonances are not overlapped and no hub region is seen clearly, as shown in Fig. 4. From the diagram shown in Fig. 19, it is not easy to answer the question only by directional arrows of transitions. Focusing on local rotation numbers themselves, however, we conclude that transport occurs between the lower-order resonances, through the overlapped higher-order resonances that exist between the lower-order resonances. Hence, the dominant component of the fast transport is not due to the Arnold diffusion. 

Correlation of base proton and phosphorous resonances through residual dipolar couplings... 

Increased use of the so-called three-arm bridge [287,288] in which a pump arm is used in addition to the resonator and reference arms, and microwave power suitable for pulse ESR or ELDOR is introduced to the resonator through this arm. 

Figure 6.13. Elimination of parent H- C proton resonances through the BIRD-inversion recovery sequence. At the start of data collection no longitudinal proton magnetisation exists but this reappears during the acquisition period and subsequent recovery delay (RD) through spin relaxation. The BIRD element selectively inverts only those protons attached to carbon-12, which then continue to relax during the inversion recovery delay, r. With an appropriate choice of x, the magnetisation has no longitudinal component when the HMQC sequence starts, so does not contribute to the detected FID.

Figure 8.32. The identification of the resonances of exchangeable protons of pulvomycinin 8.11 in a saturation transfer difference experiment. The H2O peak was selectively saturated, leading to the partial saturation of the five hydroxyl resonances through chemical exchange (reproduced with permission from [14]).

According to the definitions given in Poschel (Poschel 1993), the resonant domain associated to a lattice A is a neighborhood of the resonance defined in the following way first we require that the action is suitably close to the resonance through the inequality ... 

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