Jump coupling

Clearly, equation (6.4.1) has to be further expanded at pH significantly above neutrality when the dissociation of EH" to E + H has to be taken into account. This is a typical example of a relaxation linked to a protonic equilibrium. Such systems can be studied with pH jumps coupled to pressure or temperature dependent buflFers (see pp. 205-6). In the particular case of the reaction of alcohol dehydrogenase the cycle must be completed during the catalytic reaction when a proton is taken up by the enzyme during product dissociation. 

Lp—> L transition was found to be completed within 37 s with a nonexponential course, while the L —> Lp< transition was complete in less than 13 s. These times are much longer than those measured in T-jump studies and according to the authors the difference probably arose from a disparate experimental protocol. Cheng et al. ° reexamined the kinetics of the Lp-->L and L ->Lp-transitions by p-jump coupled to TR-SAXS. They reported still shorter times for the transitions, less than 50 ms and about 1 s, respectively, and concluded that the transitions were of the two-state type. Note that the perturbation of the system in the T-jump studies was of much larger amplitude than in the p-jump studies. This probably affected the absolute values of the reported transition times. The effect of the amplitude of the perturbation on the measured times is further discussed below. 

If collar-pull elevators are used, the bearing surface should be carefully inspected for (1) uneven wear, which may produce a side lift on the coupling with danger of Jumping it off, and (2) uniform distribution of the load where applied over the bearing face of the coupling. 

The physical reason for the velocity slip is the fact that close to the wall the gas is not in thermal equilibrium. For the same reason, a temperature jump is induced, and a more detailed investigation based on the kinetic theory of gases shows that heat transfer and momentum transfer are coupled. Expressions for velocity slip and temperature jump valid in the case of non-isothermal conditions are given by... 

Communication between neurons involves neurotransmitters. Up until the beginning of the last century, synaptic transmission was regarded as probably electrical. It was suggested that the close apposition of two neurons allowed the current to jump the synaptic cleft, rather like an electrical spark between two closely positioned wires. There is indeed evidence for electrical synapses in animal species where the synaptic cleft is particularly narrow (2 nm, or nanometres), as well as in the myocardium where the close coupling of cells allows electrical current to flow from one cell to the next,... 

In the theory of deuteron spin-lattice relaxation we apply a simple model to describe the relaxation of the magnetizations T and (A+E), for symmetry species of four coupled deuterons in CD4 free rotators. Expressions are derived for their direct relaxation rate via the intra and external quadrupole couplings. The jump motion between the equilibrium positions averages the relaxation rate within the same symmetry species. Spin conversion transitions couple the relaxation of T and (A+E). This mixing is included in the calculations by reapplying the simple model under somewhat different conditions. The results compare favorably with the experimental data for the zeolites HY, NaA and NaMordenite [6] and NaY presented here. Incoherent tunnelling is believed to dominate the relaxation process at lowest temperatures as soon as CD4 molecules become localized. 

Molecular Motions and Dynamic Structures. Molecular motions are of quite general occurrence in the solid state for molecules of high symmetry (22,23). If the motion does not introduce disorder into the crystal lattice (as, for example, the in-plane reorientation of benzene which occurs by 60° jumps between equivalent sites) it is not detected by diffraction measurements which will find a seemingly static lattice. Such molecular motions may be detected by wide-line proton NMR spectroscopy and quantified by relaxation-time measurements which yield activation barriers for the reorientation process. In addition, in some cases, the molecular reorientation may be coupled with a chemical exchange process as, for example, in the case of many fluxional organometallic molecules. ... 

Figure 8 a shows the motionally averaged quadrupole coupling constant, (Cq)/Cq, and asymmetry parameter, ( ), for a two-site jump between axially symmetric equivalent sites. At jump angles of 70° and 109° the principal components (V, Vyy, Vzz) have to be rearranged in order, which leads to the discontinuities in the curve shapes of Fig. 8a. 

For cryptands in which the molecular cavity is larger than in the case of the [l.l.l]-species [78], proton transfer in and out of the cavity can be observed more conveniently. Proton transfer from the inside-monoprotonated cryptands [2.1.1] [79], [2.2.1] [80], and [2.2.2] [81 ] to hydroxide ion in aqueous solution has been studied by the pressure-jump technique, using the conductance change accompanying the shift in equilibrium position after a pressure jump to follow the reaction (Cox et al., 1978). The temperature-jump technique has also been used to study the reactions. If an equilibrium, such as that given in equation (80), can be coupled with the faster acid-base equilibrium of an indicator, then proton transfer from the proton cryptate to hydroxide ion... 

Compounds 30-32 formed 2 1 complexes with CDs (Scheme 13). The formation of the 1 1 complex was fast and for this reason only one relaxation process was observed. In the cases where the 2 2 complex was present its formation was also fast and only one relaxation process for the 2 1 complex was observed in the temperature jump experiments. Since the equilibria are coupled the expression for the observed rate constant includes Kt, (and K22 when the 2 2 complex is present), k21, k2, and the concentrations of guest, 1 1 complex and CD.180 182 The values for the association and dissociation rate constants and equilibrium constants were obtained from the non-linear fit of the dependence of kobs on the total concentration of CD (Table 9). 

The temperature dependent T data are shown in Fig. 9. 7j values decrease from 28 ms at 21°C with increasing temperature, and show a minimum of 6.4 ms at 80° C. These results indicate the presence of the motion with a Larmor frequency of 30 MHz at this temperature. This minimum was found to be attributed to the flipping motion of a phenyl ring from the result of our other experiments discussed in later section.13 The jump rates of the flipping motion were estimated with a two-site jump model that a C-2H bond jumps between two equivalent sites separated by 180°, and that the angle made by the C-2H bond and the rotational axis is 60°. The quadrupole coupling constant of 180 kHz and the asymmetry parameter approximated to zero were used in the calculation. The calculated values for fitting with the... 

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