Intrinsic frequencies

In the presence of a prograde and a retrograde mode with equal characteristics, the rotation at the surface region is neither accelerated nor decelerated, and is in uniform rotation in a zero-th order. Is this state stable If the rotation profile is perturbed towards acceleration, intrinsic frequency (seen from rotating frame) of a pro-... 

Table 2 lists the observed and intrinsic frequencies for each of the C02... 

Complexation of a C02 carbon with a free radical is a possibility, but intrinsic frequencies as high as 2346.6 cm "1 have been observed in spectra of ABP at temperatures where radical pairs have already collapsed. This does not disprove the existence of complexation in Species A1 for example, but it does show that high frequency bands can occur in the absence of radicals. Spectra of v2 provide some evidence for complexation, but analogous effects on v3 spectra have not been observed. For example, Semple has found an abnormally low bending frequency in early spectra of bis(ll-chloro-undecanoyl) peroxide, suggesting complexation between the carbon of C02 and a primary radical, but the stretching band shows no unusual shift to high frequency (T. G. Semple, personal communication). These observations are commensurate with measurements on H20 and NH3 complexes of C02 discussed in Section IV.C.3.b. 

Since many of the C02 molecules exist as dimers, it was necessary to consider the influence of coupling, which itself might be temperature dependent, in order to compare the influence of temperature on intrinsic frequencies. 

Figure 18. Effect of warming on intrinsic frequencies of v3 of C02 in UP, 11-BrUP and ABP.

Figure 31. Correlation between absorptivity and intrinsic frequency. Squares show relative absorptivities in TP while triangles show those in JS-UP.

FTIR reporter probe, 300 carbon dioxide as a, 303 anharmonicity and, 305 bending frequency and, 306 electrolytic coupling and, 307 intermolecular forces and, 305, 346 intrinsic frequency of, 306 l80C,60 isotopic, 307 peroxide related to, 303 polarizability and, 307 windows and, 301... 

We want now to see how this state of affairs is affected by the chiral perturbation of our reaction-diffusion equations [term in M in equation (29)]. To this end we follow the lines of imperfection theory (Section II.C) and expand the variables and parameters in series around X = X,. We also set the frequency fl of the solution to be identical to the external frequency w, and assume that o> is close to the linearized intrinsic frequency, ft, in the absence of the field ... 

The intrinsic frequency factors At from this iterative procedure are listed in the second column of the previous table as Ai intrinsic . The results from the heterogeneous model with these intrinsic rates and the industrial data is as follows where MFR denotes the Molar Flow Rate, Pe is the exit pressure in bar and Tg the exit temperature in K. 

Infrared spectroelectrochemistry of 5 and 6 reveals exchange pairs consistent with mixed-valence isomerism (Figure 5.20). In the case of 5 (Figure 5.20, left), the neutral and doubly reduced (—2) states each show two v(CO) bands, separated by ca. 90cm the intrinsic frequency separation due to the isotope substitution, v( C 0) vi. v( C 0). In the mixed valence (-1) state of 5, four v(CO) bands are observed, and these correspond (from higher to lower energy) to... 

Gale JE, Ashmore JF. 1997a. An intrinsic frequency limit to the cochlear amplifier. Nature 389 63-66. 

If the Ca -IPs oscillators are not identical the possible collective dynamics becomes more complicated. We were interested in the parameter region where synchronous oscillations are observed, as this is the behavior observed for hepatocytes doublets [27]. The oscillations in the two cells are of course not identical but their phase difference is locked and the spike ratio is 1 1. The two cells differ in their intrinsic frequencies due to differences in... 

Lotka-Volterra cycle in the (u,v) plane, whose intrinsic frequency equals tdo = /. Fig. 15.9c shows that this simple formula gives an excellent estimation for the mean frequency of the chaotic three variable system. 

Of all the chemical species for which pSR were measured, CS2 has the largest lost polarization of 84% (Table 5). No Mu has been observed in it, but this is not surprising because CS has unsaturated bonds and Mu, if formed, may add to them. In such a case Mu-substituted radicals are expected instead. It was a good challenge to search for Mu-substituted radkals in CS at KEK BOOM where a powerful pS Resonance spectrometer was operating. In principle. Mu-substituted radicals can be measured more easily by high-field pS Rotation than by pS Resonance. In the Rotation method all the p spins evolve simultaneously and reveal themselves in the Fourier transformation power spectrum at their intrinsic frequencies. In the Resonance method, on the other hand, the RF frequency is fixed and the magnetic field must be swept-by-step to see whether die p spin asymmetry has... 

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