Moderate coupling

The effects of 17 and r on the ground state is apparent only at moderate couplings in the heavy region, reaching their maximum at x = 1 The narrow minimum (the light region) is resistant against 17. 

X 10 . There is thus only a very small probability that weak coupling will drive the system into the product state at a nuclear configuration near the initial state minimum. Since the frequency with which the system oscillates under the influence of the perturbation is k/h, the maximum frequency of attaining the product state i.e., the maximum probability per unit time) is AHsh /hk. In other words, Vei at the adiabatic minimum is estimated to be 10 s for a moderately coupled Class II system (/fab 100 cm, 2 10 kcal mol ). Since Vgp 10 s or higher for most... 

Evidently /iv ax/AG is <4 for a weakly coupled, endergonic charge-transfer reaction and >4 for a weakly coupled, exergonic charge-transfer reaction or for charge transfer in a moderately coupled symmetrical double-well system. The value of /zVmax/AG Can thus provide information about the degree of electronic interaction. However, in practice the latter is more readily obtained from the intensity of the charge transfer transition. 

Figure 5 Minimized variance V versus the dimensionless amplitude of the pump field E/Eth = e/eth for both operational regimes, eth is given by Eq. (23). The parameters are (1) x/7 = 0.1 (weak coupling), A/7 = 10 (2) xh = 0-5 (moderate coupling), A/7 = 3 and...

The C R analysis in the steady state predicts the superior performance of the modified HEN, which allows all three target temperatures to be controlled at their setpoints in the face of disturbances in the feed flow rate and temperature of the hot stream. More specifically, the steady-state RGA indicates that a decentralized control system can be configured for the modified HEN in which 02 — Fj, 64 — Fj and 73 - ( ) are paired, and in which the first loop is almost perfectly decoupled, with moderate coupling between the other two loops. Finally, aided by DC analysis, the nominal bypass fraction is selected to be 0.25, providing the best trade-oif between increased plant costs and adequate resiliency. 

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