Transition coefficients

If a tunnel effect takes place, a transition coefficient appears on the right side of Equation (2a), which is given—for heterogeneous as well as for homogeneous reactions—by the expression... 

The transition coefficient k is related to the probability of the transition in the crossing area (P) and is described by the Landau-Zener equation (Landau, 1932, Zener, 1933)... 

It can be easily verified that the corresponding transition coefficients u and v satisfy the relations... 

The pressure geireration (fcscribed by Eqs. (27) and (28) in solution is finally to be detected by a piezoelectric transducer. Since the detector is not din tly introduced into solution in our expmments [18, 24], the sound wave must be conducted by difierent connecting materials to the piezoelectric detector and thus passes throuj various phase boundaries. The acoustic transition coefficient represents a measure for the crossing of the acoustic wave at these boundary surfaces [%, 97]. For the crossover of the sound wave from medium 1 into medium 2 we have ... 

In contrast to the Einstein constraints for optical driving, transition coefficients for chemical driving obey microscopic reversibility, where for any transition i = j the ratio of forward to backward transition constants is given by... 

Gradient coefficients > 0 and q > 0 the expansion coefficient an>0 for the second order phase transitions. Coefficient ai(T) = ar T — Tc), E is the transition temperature of a bulk material. Note, that the coefficient flu for displacement type ferroelectrics does not depend on T, while it is temperature dependent for order-disorder type ferroelectrics (see corresponding reference in [117]). Eq is the homogeneous external field, the term Ed (P3) represents depolarization field, that increases due to the polarization inhomogeneity in confined system. Linear operator Ed P3) essentially depends on the system shape and boundary conditions. Below we consider the case when depolarization field is completely screened by the ambient free charges outside the particle, while it is nonzero inside the particle due to inhomogeneous polarization distribution (i.e., nonzero divP 0) (see Fig. 4.35b). 

Tt, gcts-slde mass transit coefficient mol/atm on s 12x10" ... 

Lan] studied transfer processes and phase boundary reactions during the carbon exchange between the carbon containing gas phase and solid Cu-Fe alloy with 4 at.% Cu at 900 to 1000°C in H2-CH4 mixtures. The diffusion coefficient, transition coefficient and the Biot index were determined. 

TABLE 11.7 Thermal Properties of Common PCB Materials Glass TCE-Thermal Substrate Transition, Coefficient of Thermal Moisture... 

O IV>amk Equlpmeritl-n O Block Options Q Results Summary El Profiles a Interface FYoflles a Efflclwicles and kETP Q Transit Coefficients El Dlmenaanle Number <1 EO Variables e EO Input 9 Spec Groups Cj Ports... 

It has been understood for some dme that vibrational emission is not the only mechanism by which radiative stabilization of the complex can occur. If the complex is formed in an excited electronic state, then emission to stable vibrational levels of the ground electronic state is a possibility. Since electronic transidons typically occur at frequencies larger dian vibradonal transidons and since the spontaneous transition coefficient contains a factor in which the frequency of emission is cubed, electronic stabilization can be much more rapid than vitotional stabilization if there is a large transition dipole moment between the two electronic states. Calculations on the radiative association between C and H2 have shown that thqrc rpears to be an efficient pathway for production of the complex in its excited state, which can then emit to... 

Tomb ambient tenqierature [K] krsi resultant heat transition coefficient [W/(nPK)]... 

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